Trabajo 1 2015
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Transcript of Trabajo 1 2015
TRABAJO DIRIGIDO:
HIDROLOGIA ESTOCASTICA
PARTICIPANTES: - CONDORI CONDORI NESTOR - BALBOA CHOQUECOTA, MERARDO - CHOQUEGONZA HUIRACOCHA, YSAIAS
- MAQUERA MAMANI, ELIANA
- CAHUAPAZA CONDORI, ISMAEL - ZEVALLOS HUANCOLLO, ROBERT
Docente : Msc. Duberly Huisa Umpiri.
PCU, Octubre del 2015.
Contenido
I. CONTENIDO DEL TRABAJO ................................................................................................ 3
II. PRESENTACIÓN ..................................................................................................................... 4
III. DESARROLLO DEL TRABAJO ......................................................................................... 6
1. Análisis de Consistencia.......................................................................................................... 6
2. Ecuación de Intensidad-Duración-Frecuencia. .................................................................. 25
3. Método de Análisis Regional ................................................................................................ 33
4. Aplicación del método de Luzt Scholtz en una Cuenca. .................................................. 48
5. Modelo AR(P). ........................................................................................................................... 56
6. Modelo WEAP ......................................................................................................................... 64
7. Conclusiones: .......................................................................................................................... 70
8. Recomendaciones .................................................................................................................. 72
9. ANEXOS ..................................................................................................................................... 73
I. CONTENIDO DEL TRABAJO
1. Realizar el análisis de consistencia información meteorológica que se proporciona de la
cuenca alta del río Ramis utilizando:
a. Análisis visual.
b. Utilizando el modelo HEC4
c. Análisis de Doble Masa.
2. Calcular la ecuación de Intensidad-Duración-Frecuencia de la estación de Ilave,
proporcionada.
3. Calcular la ecuación regionalizada para la estimación de caudales máximos de diseño para
la cuenca del río Coata o Ramis o Ilave o Huancané o Illpa (utilizar los datos de la base de
datos del Sistema TDPS e información secundaria). Indicar procedimiento de aplicación del
modelo y restricciones.
4. Aplicación del método de Luzt Scholtz en una cuenca.
5. Aplicar el modelo AR(p) a los caudales promedios mensuales de la estación hidrométrica del
río Coata.
6. Desarrollar WEAP (Sistema de Evaluación y Planificación del Agua).
II. PRESENTACIÓN
La Hidrología Estocástica es la que emplea la teoría de los Procesos Estocásticos, que son parte de
la Ingeniería de Sistemas, al estudio de los Eventos Hidrológicos; los eventos Hidrológicos, tales
como las precipitaciones, caudales, niveles de embalse, etc. son eventos Estocásticos, estas se
caracterizan porque de un lado tienen un patrón medio de comportamiento a largo plazo y por el otro
el pronóstico de sus magnitudes en un momento dado tiene un mayor o menor grado
de incertidumbre; el patrón medio corresponde a lo que se denomina la Tendencia General o
Componente Determinística y la incertidumbre constituye la Componente Aleatoria del evento.
Los proyectos que se diseñan hoy serán construidos y operarán en los próximos años. Por esta
razón, cuando los estudios hidrológicos definen unos caudales de diseño para abastecer un
acueducto, o para proteger una zona contra las inundaciones debe tenerse en cuenta que tanto la
ocurrencia como las magnitudes de esos caudales son pronósticos hacia el futuro de eventos
probables que están sujetos a un grado de incertidumbre.
Caudal real = Caudal calculado +/- Incertidumbre.
La proyección hacia el futuro se basa en la combinación de la estadística y la teoría de la
probabilidad, pues con la estadística se realiza el análisis de frecuencias de los eventos históricos y
se definen los parámetros que determinan el patrón general de comportamiento, con estos
parámetros y con la aplicación de la teoría de la probabilidad se hace el pronóstico de lo que puede
esperarse en el futuro, dentro de cierto nivel de riesgo.
Existen diferentes tipos de Modelos Hidrológicos, estos pueden ser Determinísticos o Estocásticos
de simulación o de Optimización, por ejemplo son Modelos Determinísticos la Ecuación del Balance
Hidrológico, la Fórmula Racional y el Hidrograma Unitario, un modelo de este tipo corresponde a un
algoritmo de cálculo que da un resultado único.
En los Modelos Estocásticos el algoritmo de cálculo incluye una o varias componentes
probabilísticas, pues con los Modelos Estocásticos se generan series futuras de lluvias, de caudales,
de niveles de embalses o de eventos extremos:
III. DESARROLLO DEL TRABAJO
1. Análisis de Consistencia
Realizar el análisis de consistencia información meteorológica que se proporciona de
la cuenca alta del río Ramis utilizando:
ANALISIS DE CONSISTENCIA DE LA INFORMACION
El análisis de consistencia de la información pluviométrica es una técnica que permite detectar,
identificar, cuantificar, corregir y eliminar los errores sistemáticos de la no homogeneidad e
inconsistencia de una serie meteorológica. Antes de proceder a efectuar el Modelamiento
Matemático de cualquier serie hidrometeorológica es necesario efectuar el análisis de consistencia
respectivo a fin de obtener una serie homogénea, consistente y confiable; porque la inconsistencia
de datos puede producir un sobre y subdiseño de estructuras hidráulicas.
El análisis de consistencia se realiza con tres métodos, tales como son:
Análisis visual de hidrogramas.
Análisis de doble masa.
Análisis estadístico de saltos y tendencias.
Para el análisis de consistencia con los tres métodos se ha utilizado la siguiente información:
RED DE ESTACIONES METEOROLOGICAS
La información pluviométrica disponible corresponde a una red de ocho estaciones meteorológicas
de la cuenca alta del rio Ramis. La información histórica disponible de la precipitación total mensual.
Las estaciones meteorológicas ubicadas en la cuenca alta del rio Ramis, son las siguientes:
Estación Ayaviri
Estación Chuquibambilla
Estación La raya
Estación Llalli
Estación Nuñoa
Estación Progreso
Estación Orurillo
Estación Santa Rosa
Los datos de cada estación se encuentran en Anexos.
A. Análisis visual de hidrogramas
Este análisis se realiza para detectar e identificar la inconsistencia de la información meteorológica
en forma visual, e indicar el período o los períodos en los cuales los datos son dudosos, lo cual se
puede reflejar como “picos“ muy altos o valores muy bajos, “saltos” y/o “tendencias”, los cuales se
deben comprobarse si son fenómenos naturales que efectivamente han ocurrido o son producidos
por errores sistemáticos, mediante un gráfico o hidrograma de las series de análisis, en coordenadas
cartesianas ploteando la información histórica de la variable meteorológica a nivel anual y mensual;
en las ordenadas se ubica los valores anuales o mensuales de la serie meteorológica en unidades
respectivas y en las abscisas el tiempo en años.
De las estaciones consideradas en el presente estudio, mediante este análisis se puede decir que
no existe un período dudoso significativo en las series mensuales y anuales de las precipitaciones
totales mensuales, tal como se muestra en los hidrogramas respectivas.
Figura Nº 1
Hidrograma de Precipitación Total Mensual y Anual Histórica Estaciones de la Cuenca del río
Ramis y Cuencas Vecinas
y = 0.026x + 48.071R² = 0.002
0
100
200
300
400
500
600
700
800
900
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Ayaviri
y = 3.7943x + 590.8R² = 0.0186
0
500
1000
1500
2000
2500
1 6 11 16 21 26 31 36
Pre
cip
itac
ionesl
(m
m)
Mes - Año
Desviación Estandar
y = 0.0046x + 58.372R² = 0.0001
0
50
100
150
200
250
300
350
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Chuquibambilla
y = 1.1826x + 689.67R² = 0.0094
0
200
400
600
800
1000
1200
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
y = 0.0153x + 36.003R² = 0.001
0
50
100
150
200
250
300
350
400
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación La Raya
y = 4.8808x + 826.35R² = 0.0239
0
200
400
600
800
1000
1200
1400
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
y = -0.0194x + 49.316R² = 0.0016
0
50
100
150
200
250
300
350
400
450
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Llalli
y = 4.6144x + 690.84R² = 0.1603
0
200
400
600
800
1000
1200
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
y = -0.1521x + 78.393R² = 0.1218
0
50
100
150
200
250
300
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Nuñoa
y = -3.0752x + 735.8R² = 0.0276
0
100
200
300
400
500
600
700
800
900
1000
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
y = 0.0071x + 47.525R² = 0.0004
0
50
100
150
200
250
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Progreso
y = 1.3609x + 562.99R² = 0.01
0
100
200
300
400
500
600
700
800
900
1000
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
y = -0.108x + 64.398R² = 0.0662
0
50
100
150
200
250
300
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Orurillo
y = -1.2462x + 697.21R² = 0.0022
0
200
400
600
800
1000
1200
1400
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
y = -0.0033x + 59.198R² = 3E-05
0
50
100
150
200
250
300
350
1 25 49 73 97 121 145 169 193 217 241 265 289 313 337 361 385 409 433 457
Pre
cip
itac
iones
(m
m)
Mes - Año
Histograma de Precipitación Total Mensual - Estación Santa Rosa
y = 0.3179x + 848.23R² = 0.0002
0
200
400
600
800
1000
1200
1400
1600
1 6 11 16 21 26 31 36
Pre
cip
itac
iones
(m
m)
Mes - Año
Desviación Estandar
Cuadro N° 01: Parametros de Anaalis Estadisticos de la tendencia
B. Análisis de doble masa
Después de haber analizado los hidrogramas de las series respectivas se realiza el análisis de doble
masa. El diagrama de doble masa se obtiene ploteando en el eje de las abscisas el volumen anual
promedio acumulado de la variable meteorológica de las estaciones en unidades respectivas y en el
eje de las ordenadas los volúmenes anuales acumulados de la variable meteorológica en unidades
correspondientes de cada una de las estaciones consideradas en el estudio. De los gráficos de doble
masa se selecciona una estación más confiable, la que presenta el menor número de quiebres, la
cual se usará como estación base para el análisis de otras estaciones. En este análisis, los errores
producidos por los fenómenos naturales y sistemáticos son detectados mediante los “quiebres” que
se presentan en los diagramas y permite determinar el rango de los períodos dudosos y confiables
para cada estación en estudio, la cual se debe corregirse utilizando ciertos criterios estadísticos.
Am Bm T Calculada T Tabla 95%
Media 59.08 6336.79 0.0329 48.071 0.026 0.679 1.966 |Tc| < Tt No
Desviación Estándar666.98 103426.42 0.1362 590.800 3.794 0.825 2.026 |Tc| < Tt No
Media 59.44 3674.03 0.0102 58.372 0.005 0.220 1.965 |Tc| < Tt No
Desviación Estándar713.32 19339.28 0.0970 689.670 1.183 0.593 2.026 |Tc| < Tt No
Media 77.20 5543.31 0.0158 36.003 0.015 0.243 1.970 |Tc| < Tt No
Desviación Estándar926.41 34823.88 0.1547 826.350 4.881 0.664 2.101 |Tc| < Tt No
Media 66.51 5046.34 0.0506 49.316 -0.019 0.896 1.968 |Tc| < Tt No
Desviación Estándar775.96 23419.91 0.4004 690.840 4.614 2.185 2.060 Tc| > Tt SI
Media 58.65 3832.92 -0.0139 78.393 -0.152 -0.256 1.967 |Tc| < Tt No
Desviación Estándar689.67 24818.54 -0.1662 735.800 -3.075 -0.876 2.052 |Tc| < Tt No
Media 51.38 2576.86 0.0281 47.525 0.007 0.594 1.965 |Tc| < Tt No
Desviación Estándar590.21 24169.76 0.0998 562.990 1.361 0.610 2.026 |Tc| < Tt No
Media 58.99 3688.38 -0.0375 64.398 -0.108 -0.658 1.968 |Tc| < Tt No
Desviación Estándar677.27 44489.94 -0.0469 697.210 -1.246 -0.235 2.060 |Tc| < Tt No
Media 81.87 6212.85 -0.0814 59.198 -0.003 -1.488 1.967 |Tc| < Tt No
Desviación Estándar854.57 88663.13 0.0134 848.230 0.318 0.074 2.042 |Tc| < Tt No
Orurillo
Santa Rosa
Ayaviri
Chuquibambilla
La Raya
Llalli
Nuñoa
Progreso
PARÁMETROS Y ANÁLISIS ESTADISTICOS DE LA TENDENCIA EN LA MEDIA Y DESVIACIÓN ESTANDAR
Estación PluviométricaTendencia
en la:Media Variancia
Coeficiente
de
Correlación
Coeficientes de Regresión Estadística T Comparació
n
Tendencia
Significativa
Cuadro N° 02: Análisis de Doble Masa de Precipitación Total Anual (mm)
P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm) P (mm) Pacum (mm)
1 1964 557.3 557.30 788.40 788.40 732.10 732.10 473.90 473.90 667.70 667.70 586.00 586.00 507.00 507.00 637.00 637.00 618.68 618.68
2 1965 713.7 1,271.00 909.40 1,697.80 824.20 1,556.30 744.30 1,218.20 797.60 1,465.30 687.10 1,273.10 660.60 1,167.60 1,125.60 1,762.60 807.81 1,426.49
3 1966 460.5 1,731.50 602.40 2,300.20 900.10 2,456.40 711.50 1,929.70 686.40 2,151.70 445.20 1,718.30 558.80 1,726.40 948.30 2,710.90 664.15 2,090.64
4 1967 628.7 2,360.20 814.10 3,114.30 798.70 3,255.10 682.50 2,612.20 720.50 2,872.20 541.00 2,259.30 591.90 2,318.30 757.80 3,468.70 691.90 2,782.54
5 1968 644.5 3,004.70 838.00 3,952.30 916.50 4,171.60 811.00 3,423.20 588.10 3,460.30 555.90 2,815.20 668.20 2,986.50 857.60 4,326.30 734.98 3,517.51
6 1969 432.6 3,437.30 519.30 4,471.60 611.60 4,783.20 527.40 3,950.60 821.90 4,282.20 468.20 3,283.40 521.80 3,508.30 949.10 5,275.40 606.49 4,124.00
7 1970 628.1 4,065.40 785.90 5,257.50 921.30 5,704.50 799.60 4,750.20 806.90 5,089.10 727.30 4,010.70 936.30 4,444.60 1,376.70 6,652.10 872.76 4,996.76
8 1971 490.2 4,555.60 559.10 5,816.60 696.20 6,400.70 728.50 5,478.70 834.70 5,923.80 537.80 4,548.50 616.00 5,060.60 912.60 7,564.70 671.89 5,668.65
9 1972 610.8 5,166.40 645.40 6,462.00 848.30 7,249.00 904.70 6,383.40 679.00 6,602.80 639.90 5,188.40 724.40 5,785.00 978.60 8,543.30 753.89 6,422.54
10 1973 869.9 6,036.30 701.60 7,163.60 1,577.90 8,826.90 854.60 7,238.00 595.50 7,198.30 784.20 5,972.60 709.30 6,494.30 1,224.90 9,768.20 914.74 7,337.28
11 1974 788.9 6,825.20 627.20 7,790.80 938.50 9,765.40 1,013.60 8,251.60 486.90 7,685.20 552.40 6,525.00 807.60 7,301.90 1,197.90 10,966.10 801.63 8,138.90
12 1975 804.4 7,629.60 761.20 8,552.00 804.10 10,569.50 726.10 8,977.70 669.70 8,354.90 553.30 7,078.30 629.70 7,931.60 1,223.80 12,189.90 771.54 8,910.44
13 1976 371.0 8,000.60 605.50 9,157.50 727.80 11,297.30 783.00 9,760.70 768.40 9,123.30 626.70 7,705.00 655.60 8,587.20 978.80 13,168.70 689.60 9,600.04
14 1977 337.3 8,337.90 693.40 9,850.90 934.30 12,231.60 755.20 10,515.90 718.40 9,841.70 598.90 8,303.90 942.70 9,529.90 1,383.70 14,552.40 795.49 10,395.53
15 1978 844.0 9,181.90 824.20 10,675.10 1,215.70 13,447.30 1,104.60 11,620.50 932.80 10,774.50 823.80 9,127.70 819.90 10,349.80 1,171.50 15,723.90 967.06 11,362.59
16 1979 577.4 9,759.30 537.00 11,212.10 1,063.30 14,510.60 855.50 12,476.00 568.10 11,342.60 583.60 9,711.30 593.30 10,943.10 913.50 16,637.40 711.46 12,074.05
17 1980 487.8 10,247.10 650.60 11,862.70 845.50 15,356.10 603.20 13,079.20 791.70 12,134.30 498.90 10,210.20 668.20 11,611.30 878.10 17,515.50 678.00 12,752.05
18 1981 761.7 11,008.80 851.10 12,713.80 493.30 15,849.40 755.70 13,834.90 658.60 12,792.90 698.70 10,908.90 833.20 12,444.50 973.10 18,488.60 753.18 13,505.23
19 1982 891.6 11,900.40 767.40 13,481.20 915.60 16,765.00 958.60 14,793.50 689.90 13,482.80 588.70 11,497.60 784.20 13,228.70 1,101.20 19,589.80 837.15 14,342.38
20 1983 389.1 12,289.50 362.70 13,843.90 603.60 17,368.60 421.20 15,214.70 308.60 13,791.40 355.10 11,852.70 514.60 13,743.30 691.90 20,281.70 455.85 14,798.23
21 1984 2,150.3 14,439.80 1,012.50 14,856.40 1,213.30 18,581.90 1,010.70 16,225.40 840.00 14,631.40 774.60 12,627.30 978.60 14,721.90 1,306.00 21,587.70 1160.75 15,958.98
22 1985 1,582.2 16,022.00 741.70 15,598.10 1,134.20 19,716.10 779.90 17,005.30 709.40 15,340.80 840.50 13,467.80 1,169.70 15,891.60 1,038.10 22,625.80 999.46 16,958.44
23 1986 860.3 16,882.30 697.70 16,295.80 1,063.70 20,779.80 666.70 17,672.00 894.00 16,234.80 785.70 14,253.50 912.20 16,803.80 989.20 23,615.00 858.69 17,817.13
24 1987 564.9 17,447.20 490.40 16,786.20 908.60 21,688.40 599.10 18,271.10 401.90 16,636.70 677.90 14,931.40 420.80 17,224.60 820.80 24,435.80 610.55 18,427.68
25 1988 653.4 18,100.60 653.70 17,439.90 970.20 22,658.60 680.40 18,951.50 776.40 17,413.10 569.50 15,500.90 609.50 17,834.10 866.00 25,301.80 722.39 19,150.06
26 1989 611.7 18,712.30 651.40 18,091.30 989.60 23,648.20 830.60 19,782.10 807.30 18,220.40 687.10 16,188.00 635.60 18,469.70 853.40 26,155.20 758.34 19,908.40
27 1990 657.8 19,370.10 785.60 18,876.90 938.30 24,586.50 798.00 20,580.10 828.30 19,048.70 493.10 16,681.10 561.90 19,031.60 1,002.60 27,157.80 758.20 20,666.60
28 1991 649.0 20,019.10 641.60 19,518.50 835.30 25,421.80 710.90 21,291.00 636.60 19,685.30 565.80 17,246.90 465.50 19,497.10 696.40 27,854.20 650.14 21,316.74
29 1992 481.5 20,500.60 592.30 20,110.80 818.40 26,240.20 623.40 21,914.40 522.00 20,207.30 512.80 17,759.70 512.40 20,009.50 460.50 28,314.70 565.41 21,882.15
30 1993 845.0 21,345.60 850.30 20,961.10 1,114.80 27,355.00 897.40 22,811.80 938.70 21,146.00 912.20 18,671.90 930.90 20,940.40 962.00 29,276.70 931.41 22,813.56
31 1994 608.2 21,953.80 795.20 21,756.30 924.60 28,279.60 832.40 23,644.20 707.70 21,853.70 658.80 19,330.70 698.60 21,639.00 1,032.90 30,309.60 782.30 23,595.86
32 1995 567.4 22,521.20 575.20 22,331.50 758.80 29,038.40 701.10 24,345.30 529.00 22,382.70 469.90 19,800.60 541.10 22,180.10 856.50 31,166.10 624.88 24,220.74
33 1996 584.8 23,106.00 617.70 22,949.20 774.90 29,813.30 773.40 25,118.70 632.20 23,014.90 555.60 20,356.20 626.60 22,806.70 1,014.50 32,180.60 697.46 24,918.20
34 1997 808.2 23,914.20 985.60 23,934.80 976.10 30,789.40 976.40 26,095.10 987.40 24,002.30 812.60 21,168.80 872.80 23,679.50 1,233.40 33,414.00 956.56 25,874.76
35 1998 558.5 24,472.70 677.70 24,612.50 936.70 31,726.10 780.80 26,875.90 559.80 24,562.10 489.00 21,657.80 647.60 24,327.10 744.00 34,158.00 674.26 26,549.03
36 1999 649.6 25,122.30 776.80 25,389.30 798.60 32,524.70 936.50 27,812.40 725.00 25,287.10 581.20 22,239.00 886.30 25,213.40 850.80 35,008.80 775.60 27,324.63
37 2000 702.7 25,825.00 792.70 26,182.00 864.40 33,389.10 874.10 28,686.50 865.10 26,152.20 604.50 22,843.50 746.70 25,960.10 839.50 35,848.30 786.21 28,110.84
38 2001 684.2 26,509.20 689.90 26,871.90 914.80 34,303.90 739.70 29,426.20 572.70 26,724.90 649.90 23,493.40 704.70 26,664.80 745.80 36,594.10 712.71 28,823.55
39 2002 843.1 27,352.30 947.50 27,819.40 1,011.20 35,315.10 986.40 30,412.60 875.10 27,600.00 873.40 24,366.80 815.80 27,480.60 931.30 37,525.40 910.48 29,734.03
Nº AñoAyaviri Chuquibalbilla La Raya Llalli Nuñoa Progreso Orurillo Santa Rosa Promedio
Análisis de Doble Masa de Precipitación Total Anual
Análisis de doble de precipitación mensual de las estaciones.
0
2000
4000
6000
8000
10000
12000
14000
16000
18000
20000
22000
24000
26000
28000
30000
32000
34000
36000
38000
40000
0 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000 22000 24000 26000 28000 30000
Pre
cip
itac
ión A
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a E
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m)
Precipitación Promedio Acumulado de 8 Estaciones (mm)
Ayaviri
Chuquibalbilla
La Raya
Llalli
Nuñoa
Progreso
Orurillo
Santa Rosa
C. Completacion de la Información HEC-4
La completación de la información meteorológica se realiza con el fin de obtener una serie completa
y de un período uniforme. Para la completación de la información meteorológica se ha utilizado el
modelo hidrológico denominado HEC-4 MONTHLY STREAMFLOW SIMULATION, desarrollado por
el Hydrologic Engeneering Center de los Estados Unidos de América.
La completación de registros de la información meteorológica, se ha desarrollado utilizando la
información consistente y confiable obtenida en el análisis anterior. A continuación se muestra los
grupos de estaciones consideradas.
Estación Ayaviri Estación La raya Estación Llalli Estación Nuñoa Estación Progreso
Estación Orurillo
Estación Santa Rosa
El período de registro a completar se ha seleccionado desde el año 1964 – 2002, como la serie base
de análisis de la información, dicha información se encuentra en los anexos. los resultado se
muestran en los siguientes cuadros y gráficos.
Cuadro N° 02: Precipitación total mensual completado y extendido – estación Ayaviri
Cuadro N° 03: Precipitación total mensual completado y extendido – estación Chuquibambilla
Cuadro N° 04: Precipitación total mensual completado y extendido – estación La Raya
Cuadro N° 05: Precipitación total mensual completado y extendido – estación Ñuñoa
Cuadro N° 06: Precipitación total mensual completado y extendido – estación Progreso
Cuadro N° 07: Precipitación total mensual completado y extendido – estación Ururillo
Cuadro N° 07: Precipitación total mensual completado y extendido – estación Santa Rosa
Cuadro N° 08: Análisis Estadístico de las estaciones meteorológico de la cuenca alta Río Ramis.
CHUQUIBAMBILLA
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 2 ene-64 ene-69 feb-69 feb-89 61 67.68 66.61 241 58.64 56.18 300 60.76 1.198 1.968 No 67.7 58.6 1.332 1.375 No
2 con 3 feb-69 feb-89 mar-89 dic-02 61 67.68 66.61 166 60.77 61.54 225 62.97 0.538 1.971 No 67.7 60.8 1.240 1.400 No
Período
N2 DATOS PERIODO N1 DATOS PERIODO N2 SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
LLALLI
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 4 ene-64 ene-70 feb-93 dic-02 73 59.65 56.88 119 70.78 69.76 190 67.14 1.290 1.973 No 59.7 70.8 1.408 1.431 No
2 con 4 feb-70 mar-79 feb-93 dic-02 110 81.03 72.18 119 70.78 69.76 227 76.21 0.240 1.970 No 81.0 70.8 1.311 1.362 No
3 con 4 abr-79 ene-93 feb-93 dic-02 166 61.8 60.35 119 70.78 69.76 283 65.93 1.188 1.968 No 61.8 70.8 1.312 1.320 No
Período
N2 DATOS PERIODO N1 DATOS PERIODO N2 SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
NUÑOA
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 2 ene-64 feb-84 ene-84 dic-89 242 60.93 58.79 67 67.85 53.94 307 62.69 0.560 1.968 No 60.9 67.9 1.240 1.360 No
1 con 3 ene-64 feb-84 oct-89 dic-02 242 60.93 58.79 159 61.31 61.38 399 61.23 0.414 1.966 No 60.9 61.3 1.013 1.265 No
Período
N2 DATOS PERIODO N1 DATOS PERIODO N2 SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
AYAVIRI
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 5 ene-64 ene-70 feb-86 dic-02 73 49.72 48.85 203 56.83 54.98 274 55.25 0.813 1.969 No 49.7 56.8 1.306 1.398 No
2 con 5 feb-70 ene-76 feb-86 dic-02 72 62.1 58.17 203 56.83 54.98 273 58.46 0.398 1.969 No 62.1 56.8 1.194 1.361 No
3 con 5 feb-76 ene-84 feb-86 dic-02 98 62.74 52 203 56.83 54.98 299 59.01 0.411 1.968 No 62.7 56.8 1.219 1.323 No
4 con 5 feb-76 ene-86 feb-86 dic-02 22 233.81 151.84 203 56.83 54.98 223 90.26 4.781 1.971 Si 233.8 56.8 16.927 1.608 Si
SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
Período
N2 DATOS PERIODO N1 DATOS PERIODO N2
Cuadro N° 09: Análisis Estadístico de las estaciones Ayaviri, La Raya, Orurillo y Santa Rosa, que requieren corrección.
X1=((X'1-151.84)/233.81)*56.83+54.98
X1=((X'1-95.27)/140.45)*70.47+76.5
X1=((X'1-64.96)/72.92)*57.28+58.43)
X1=((X'1-75.73)/74.23)*87.96+97.48)
LA RAYA
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 6 ene-64 ene-68 mar-85 dic-02 49 69.91 71.44 214 70.47 76.5 261 70.64 0.452 1.969 No 69.9 70.5 1.016 1.492 No
2 con 6 feb-68 mar-72 mar-85 dic-02 50 63.3 68.23 214 70.47 76.5 262 69.45 0.758 1.969 No 63.3 70.5 1.239 1.486 No
3 con 6 abr-72 ene-74 mar-85 dic-02 22 140.45 95.27 214 70.47 76.5 234 79.65 1.052 1.970 No 140.5 70.5 3.972 1.606 Si
4 con 6 feb-74 feb-80 mar-85 dic-02 73 80.49 79.23 214 70.47 76.5 285 73.39 0.274 1.968 No 80.5 70.5 1.305 1.356 No
5 con 6 mar-80 feb-85 mar-85 dic-02 60 71.06 69.22 214 70.47 76.5 272 70.86 0.703 1.969 No 71.1 70.5 1.017 1.384 No
DATOS PERIODO N2 SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
Período
N2 DATOS PERIODO N1
ORURILLO
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 2 ene-64 mar-83 abr-83 feb-89 231 57.28 58.43 71 72.92 64.96 300 61.49 0.783 1.968 No 57.3 72.9 1.621 1.355 Si
1 con 3 ene-64 mar-83 mar-89 dic-02 231 57.28 58.43 166 57.26 56.46 395 57.42 0.337 1.966 No 57.3 57.3 1.001 1.272 No
Período
N2 DATOS PERIODO N1 DATOS PERIODO N2 SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
SANTA ROSA
ANALISIS DE SALTOS EN LA MEDIA Y DESVIACION ESTANDARN1
Desde Hasta Desde Hasta N1 S1 Media N2 S2 Media G.L. Sp Tc Tt Salto S1 S2 Fc Ft Salto
1 con 6 ene-64 ene-72 feb-93 dic-02 97 81.68 81.18 119 74.23 75.73 214 78.03 0.511 1.971 No 81.7 74.2 1.211 1.375 No
2 con 6 feb-72 mar-79 feb-93 dic-02 86 87.96 97.48 119 74.23 75.73 203 80.66 1.905 1.972 No 88.0 74.2 1.404 1.387 Si
3 con 6 abr-79 ene-85 feb-93 dic-02 70 80.98 78.59 119 74.23 75.73 187 77.20 0.246 1.973 No 81.0 74.2 1.190 1.412 No
4 con 6 feb-85 dic-89 feb-93 dic-02 59 67.92 74.51 119 74.23 75.73 176 72.63 0.106 1.974 No 67.9 74.2 1.194 1.476 No
5 con 6 ene-90 ene-93 feb-93 dic-02 37 67.78 63.75 119 74.23 75.73 154 73.25 0.869 1.975 No 67.8 74.2 1.199 1.613 No
Período
N2 DATOS PERIODO N1 DATOS PERIODO N2 SALTO EN LA MEDIA SALTO EN DESVIACION ESTANDAR
A continuación se visualizan las Histogramas Corregidas de las estaciones Ayaviri, La Raya,
Orurillo y Santa Rosa.
Estación Ayaviri
Estación La Raya
-100.00
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Estación Orurillo
Estación Santa Rosa
2. Ecuación de Intensidad-Duración-Frecuencia.
Calcular la ecuación de intensidad-duración-frecuencia de la estación x, proporcionada
CURVA INTENSIDAD- DURACION – FRECUENCIA
Las curvas Intensidad – Duración – Frecuencia (IDF) son curvas que resultan de unir los puntos
representativos de la intensidad media en intervalos de diferente duración, y correspondientes
todos ellos a una misma frecuencia o período de retorno.
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Según, Benitez (2002) las curvas IDF son la representación gráfica de la relación existente entre
la intensidad, la duración y la frecuencia o período de retorno de la precipitación.
Construcción de las curvas IDF
La construcción de las curvas Intensidad-Duración-Frecuencia (IDF), los métodos; el primero,
llamado de intensidad - período de retorno, relaciona estas dos variables para cada duración
por separado, mediante alguna de las funciones de distribución de probabilidad usadas en
hidrología.
De los datos proporcionados se ha tomado la precipitación máxima para duración, de los cinco
años de precipitación de la estación “X”, se observa en el siguiente cuadro.
Con las precipitaciones máximas obtenidas se determina la intensidad mm/hora, para los años
de 1998 al 2002.
Con el FLFREQ, se ha obtenido los datos de intensidad por cada tiempo de retorno.
Cuadro N° 1: Precipitaciones maximas para cada duracion
Año 5 10 20 45 80 120 240
1998 7.2 9 12.7 17.9 23.5 23.6 31.9
1999 12.8 15.9 18 24.1 31.6 35.9 42.8
2000 6.9 10 19.9 23.2 32.4 31.8 44.9
2001 4.8 8.1 14.8 20 30.1 32.8 39.5
2002 4.2 6.5 11.3 15.3 24.8 35 40.4
Año 5 10 20 45 80 120 240
1998 86.4 54 38.1 23.87 17.63 11.8 7.98
1999 153.6 95.4 54 32.13 23.70 18 10.7
2000 82.8 60 59.7 30.93 24.30 15.9 11.2
2001 57.6 48.6 44.4 26.67 22.58 16.4 9.88
2002 50.4 39 33.9 20.40 18.60 17.5 10.1
Cuadro N° 2: INTENSIDAD mm/hora
TR 5 10 20 45 80 120 2405 108 70.8 53.4 30.60 23.80 18.4 11.2
10 126 80.7 59.5 33.60 25.70 20.2 12.1
20 144 90.2 65.3 36.50 27.50 22 12.9
50 168 103 72.8 40.30 29.80 24.3 14
100 185 112 78.4 43.10 31.60 26 14.9
200 203 121 84 45.90 33.40 27.7 15.7
500 225 133 91.4 49.60 35.70 29.9 16.8
1000 243 142 97 52.40 37.40 31.6 17.6
2000 260 151 103 55.20 39.20 33.3 18.3
5000 283 163 110 58.80 41.50 35.6 19.2
10000 300 173 116 61.60 43.30 37.3 19.9
Cuadro N° 3: Cuadro calculado con flfreq para cada tiempo retorno
Se ordena ejecutar la regresión para obtener coeficiente de correlación
I TR D 108 5 5
126 10 5
144 20 5
168 50 5
185 100 5
203 200 5
225 500 5
243 1000 5
260 2000 5
283 5000 5
300 10000 5
70.8 5 10
80.7 10 10
90.2 20 10
103 50 10
112 100 10
121 200 10
133 500 10
142 1000 10
151 2000 10
163 5000 10
173 10000 10
53.4 5 20
59.5 10 20
65.3 20 20
72.8 50 20
78.4 100 20
84 200 20
91.4 500 20
97 1000 20
103 2000 20
110 5000 20
116 10000 20
30.60 5 45
33.60 10 45
36.50 20 45
40.30 50 45
43.10 100 45
45.90 200 45
49.60 500 45
52.40 1000 45
55.20 2000 45
58.80 5000 45
61.60 10000 45
23.80 5 80
25.70 10 80
27.50 20 80
29.80 50 80
31.60 100 80
33.40 200 80
35.70 500 80
37.40 1000 80
39.20 2000 80
41.50 5000 80
43.30 10000 80
18.40 5 120
20.20 10 120
22.00 20 120
24.30 50 120
26.00 100 120
27.70 200 120
29.90 500 120
31.60 1000 120
33.30 2000 120
35.60 5000 120
37.30 10000 120
11.20 5 240
12.10 10 240
12.90 20 240
14.00 50 240
14.90 100 240
15.70 200 240
16.80 500 240
17.60 1000 240
18.30 2000 240
19.20 5000 240
19.90 10000 240
Se ejecuta la regresión en el eje Y la intensidad y en el eje X la duración y tiempo de retorno, para
ver el grado de correlación, En las siguientes tablas se muestran el resumen de las estadísticas
de los datos resueltos.
I TR D I TR D 108 5 5 2.033 0.699 0.699
126 10 5 2.100 1.000 0.699
144 20 5 2.158 1.301 0.699
168 50 5 2.225 1.699 0.699
185 100 5 2.267 2.000 0.699
203 200 5 2.307 2.301 0.699
225 500 5 2.352 2.699 0.699
243 1000 5 2.386 3.000 0.699
260 2000 5 2.415 3.301 0.699
283 5000 5 2.452 3.699 0.699
300 10000 5 2.477 4.000 0.699
70.8 5 10 1.850 0.699 1.000
Resumen
Estadísticas de la regresión
Coeficiente de correlación múltiple0.678174
Coeficiente de determinación R^20.45992
R^2 ajustado 0.4453233
Error típico 51.141667
Observaciones 77
ANÁLISIS DE VARIANZA
Grados de libertadSuma de cuadradosPromedio de los cuadradosF Valor crítico de F
Regresión 2 164818.4 82409.202 31.508371 1.262E-10
Residuos 74 193544.79 2615.4701
Total 76 358363.19
Coeficientes Error típico Estadístico tProbabilidadInferior 95%Superior 95%Inferior 95.0%Superior 95.0%
Intercepción 109.56487 8.7305036 12.549662 5.254E-20 92.168963 126.96078 92.168963 126.96078
Variable X 1 0.0049768 0.0019538 2.5472402 0.0129349 0.0010838 0.0088698 0.0010838 0.0088698
Variable X 2 -0.5635486 0.0749546 -7.5185311 1.049E-10 -0.7128989 -0.4141983 -0.7128989 -0.4141983
K= 109.56487
m= 0.0049768
n= -0.5635486
80.7 10 10 1.907 1.000 1.000
90.2 20 10 1.955 1.301 1.000
103 50 10 2.013 1.699 1.000
112 100 10 2.049 2.000 1.000
121 200 10 2.083 2.301 1.000
133 500 10 2.124 2.699 1.000
142 1000 10 2.152 3.000 1.000
151 2000 10 2.179 3.301 1.000
163 5000 10 2.212 3.699 1.000
173 10000 10 2.238 4.000 1.000
53.4 5 20 1.728 0.699 1.301
59.5 10 20 1.775 1.000 1.301
65.3 20 20 1.815 1.301 1.301
72.8 50 20 1.862 1.699 1.301
78.4 100 20 1.894 2.000 1.301
84 200 20 1.924 2.301 1.301
91.4 500 20 1.961 2.699 1.301
97 1000 20 1.987 3.000 1.301
103 2000 20 2.013 3.301 1.301
110 5000 20 2.041 3.699 1.301
116 10000 20 2.064 4.000 1.301
30.60 5 45 1.486 0.699 1.653
33.60 10 45 1.526 1.000 1.653
36.50 20 45 1.562 1.301 1.653
40.30 50 45 1.605 1.699 1.653
43.10 100 45 1.634 2.000 1.653
45.90 200 45 1.662 2.301 1.653
49.60 500 45 1.695 2.699 1.653
52.40 1000 45 1.719 3.000 1.653
55.20 2000 45 1.742 3.301 1.653
58.80 5000 45 1.769 3.699 1.653
61.60 10000 45 1.790 4.000 1.653
23.80 5 80 1.377 0.699 1.903
25.70 10 80 1.410 1.000 1.903
27.50 20 80 1.439 1.301 1.903
29.80 50 80 1.474 1.699 1.903
31.60 100 80 1.500 2.000 1.903
33.40 200 80 1.524 2.301 1.903
35.70 500 80 1.553 2.699 1.903
37.40 1000 80 1.573 3.000 1.903
39.20 2000 80 1.593 3.301 1.903
41.50 5000 80 1.618 3.699 1.903
43.30 10000 80 1.636 4.000 1.903
18.40 5 120 1.265 0.699 2.079
20.20 10 120 1.305 1.000 2.079
22.00 20 120 1.342 1.301 2.079
24.30 50 120 1.386 1.699 2.079
26.00 100 120 1.415 2.000 2.079
27.70 200 120 1.442 2.301 2.079
29.90 500 120 1.476 2.699 2.079
31.60 1000 120 1.500 3.000 2.079
33.30 2000 120 1.522 3.301 2.079
35.60 5000 120 1.551 3.699 2.079
37.30 10000 120 1.572 4.000 2.079
11.20 5 240 1.049 0.699 2.380
12.10 10 240 1.083 1.000 2.380
12.90 20 240 1.111 1.301 2.380
14.00 50 240 1.146 1.699 2.380
14.90 100 240 1.173 2.000 2.380
15.70 200 240 1.196 2.301 2.380
16.80 500 240 1.225 2.699 2.380
17.60 1000 240 1.246 3.000 2.380
18.30 2000 240 1.262 3.301 2.380
19.20 5000 240 1.283 3.699 2.380
19.90 10000 240 1.299 4.000 2.380
Resumen
Estadísticas de la regresión
Coeficiente de correlación múltiple0.996644
Coeficiente de determinación R^20.9932993
R^2 ajustado 0.9931182
Error típico 0.0310765
Observaciones 77
ANÁLISIS DE VARIANZA
Grados de libertadSuma de cuadradosPromedio de los cuadradosF Valor crítico de F
Regresión 2 10.593952 5.296976 5484.8458 3.684E-81
Residuos 74 0.0714653 0.0009657
Total 76 10.665417
Coeficientes Error típico Estadístico tProbabilidadInferior 95%Superior 95%Inferior 95.0%Superior 95.0%
Intercepción 2.500119 0.0131772 189.73026 3.26E-101 2.4738628 2.5263752 2.4738628 2.5263752
Variable X 1 0.097169 0.0033647 28.878987 4.969E-42 0.0904647 0.1038733 0.0904647 0.1038733
Variable X 2 -0.637525 0.0063324 -100.67619 6.244E-81 -0.6501426 -0.6249073 -0.6501426 -0.6249073
Cuadro N° 04 : Calculo de precipitaciones de máxima intensidad, para diferentes tiempos de
retorno y duraciones.
Intensidades máximas.- Estación X (mm/h)
K= 109.56487 a0= 2.500119
m= 0.0049768 a1= 0.097169
n= -0.5635486 a2= -0.637525
Log (I) = Log (K) + m Log (T) -n Log (t)
O bien: Y = a0 + a1 X1 + a2 X2
TR 5 10 20 45 80 120 240
5 8.156235 12.688313 19.738676 33.101157 47.769017 61.859853 96.232779
10 8.7244993 13.572338 21.113916 35.407393 51.097198 66.169776 102.93755
20 9.3323559 14.517955 22.584973 37.87431 54.657261 70.779982 110.10945
50 10.201375 15.869852 24.688063 41.401127 59.746889 77.37094 120.36273
100 10.912129 16.975542 26.408139 44.285642 63.909597 82.761558 128.74868
200 11.672403 18.158268 28.248056 47.371128 68.362331 88.527752 137.71891
500 12.759325 19.849148 30.878486 51.782279 74.72816 96.771365 150.54315
1000 13.648298 21.232085 33.029864 55.390073 79.934649 103.51366 161.03185
2000 27.69232 22.711375 35.331133 59.249232 85.503886 110.7257 172.25133
5000 15.958671 24.826234 38.621132 64.766459 93.46592 121.03636 188.29119
10000 17.070549 26.555937 41.311958 69.278892 99.977913 129.46925 201.40989
3. Método de Análisis Regional
Calcular la ecuación regionalizada para la estimación de caudales máximos de diseño para la
cuenca del río Ilave (utilizar los datos de la base de datos del sistema TDPS e información
secundaria). indicar procedimiento de aplicación del modelo y restricciones.
METODO DE ANALISIS REGIONAL
1. An1 .Ln2 .P n3= Qpmax
Donde:
Qpmax = Caudal promedio máximo, en m3/s.
A = Área de la cuenca, en Km2.
L = Longitud del cauce principal, en Km.
P = Precipitación promedio de la cuenca, en mm/año
Datos para el análisis:
Área de la Cuenca.
Longitud de Cauce Principal.
Precipitación Promedio de la cuenca.
Caudales Máximos Instantáneos.
Para determinación de caudales máximos de diseño se ha utilizado la información
proporcionada del TDPS, de las de las estacionales Ayaviri, Azangaro, Ramis, Huancané,
Unocolla, Cabanillas y Puente Ilave. Se desarrollará una ecuación para el cálculo de caudales
máximos en base a la formulación del modelo regional.
Cuadro N° 01: Caudales Promedios diarios
En la tabla se muestra los caudales promedio máximos diarios y los caudales instantáneos
calculados por la siguiente relación:
Qins = 1.2120Qmax1.0019
EstacionesPte.
Ayaviri
Pte.
Azángaro
Pte.
Ramis
Pte.
Huancané
Pte.
Unocolla
Pte. Isla
CabanillasPte Ilave
150.9 92.4 459.8 192.0 140.0 85.4 269.8
220.0 342.5 144.5 331.0 145.5 80.0
270.6 4.5 240.3 186.1 81.4
260.2 78.8 151.8 398.7 566.0
289.0 75.8 428.0 296.4 317.2
175.2 76.6 986.0 477.3 344.5
404.8 172.0 315.0 89.2 317.2
554.0 352.8 624.0 555.9
331.4 101.8 410.0 355.0
442.5 143.5 420.0 500.4
623.5 224.5 300.0 920.0
405.0 181.0 350.0 792362.0 114.0 527.5 616494.5 131.4 229.8 622442.0 140.0 133.6 446346.5 240.3 67.7 190346.8 98.1 56.4 197.5426.0 159.0 137.7 492406.2 142.6 203.3 309118.0 62.5 137.6 37464.2 180.0 157.4 809.5411.9 155.0 233.8 370480.0 195.5 297.8 871.5260.0 142.0 448.9 631392.0 159.0 220.1 347.5256.6 82.5 199.6135.4 54.0 72151.0 67.7 260.7285.5 56.4 78.6336.0 137.7 165.7418.0 203.3 383.1289.9 48.7
406.9 137.6
391.6
Promedio 150.90 156.20 358.22 135.00 301.91 239.80 393.49
QmaxInst 185 191 439 165 370 294 482
Caud
al p
rom
edio
dia
rio m
3/se
g
Donde: Qins, es el caudal máximo instantáneo en m3/s; Qmax, es el caudal promedio diario; y
1.2120 y 1.0019, son valores obtenidos de un grupo de cuencas de la costa y centro del país.
En la tabla se muestra la muestra global adimensional dividiendo los elementos de cada serie
entre Qpmax de la misma.
Cuadro N° 02: Caudal Máximo
Estacion
es
Pte.
Ayaviri
Pte.
Azángaro
Pte.
Ramis
Pte.
Huancané
Pte.
Unocolla
Pte. Isla
Cabanillas
Pte.
Mocayache
Lampa1.0 0.6 1.3 1.4 0.5 0.4 0.7
1.4 1.0 1.1 1.1 0.6 0.2
0.8 0.0 0.8 0.8 0.2
0.7 0.6 0.5 1.7 1.4
0.8 0.6 1.4 1.2 0.8
0.5 0.6 3.3 2.0 0.9
1.1 1.3 1.0 0.4 0.8
1.5 2.6 2.1 1.4
0.9 0.8 1.4 0.9
1.2 1.1 1.4 1.3
1.7 1.7 1.0 2.3
1.1 1.3 1.2 2.0
1.0 0.8 1.7 1.6
1.4 1.0 0.8 1.6
1.2 1.0 0.4 1.1
1.0 1.8 0.2 0.5
1.0 0.7 0.2 0.5
1.2 1.2 0.5 1.3
1.1 1.1 0.7 0.8
0.3 0.5 0.5 0.1
1.3 1.3 0.5 2.1
1.1 1.1 0.8 0.9
1.3 1.4 1.0 2.2
0.7 1.1 1.5 1.6
1.1 1.2 0.7 0.9
0.7 0.6 0.5
0.4 0.4 0.2
0.4 0.5 0.7
0.8 0.4 0.2
0.9 1.0 0.4
1.2 1.5 1.0
0.8 0.4
1.1 1.0
1.1
Caud
al p
rom
edio
dia
rio m
3/se
g
Luego con los valores adimensionales obtenidos se realiza el análisis de frecuencia, utilizando
las distribuciones: Gumbel, Log-Normal, utilizando los siguientes datos:
Cuadro N° 03: Se obtiene los siguientes resultados con la aplicación del FLFREQ
Seleccionamos la distribución GUMBEL I, que presenta bajos porcentajes del error estándar,
como la más adecuada para la estimación del valor de F, en la cuenca. y poder estimar los
caudales máximos instantáneos para la estación río Ilave a diferentes periodos de retorno.
Para fines de estimación del modelo regional para el río Huancané, se utiliza la información del
área de la cuenca, longitud del cauce y la precipitación areal, proporcionadas en clase. En la
siguiente tabla se muestra las características de los ríos en estudio. Los caudales fueron
N
11
20.
592
31.
408
41.
284
50.
956
60.
755
70.
726
80.
807
90.
489
101.
13
111.
547
120.
925
131.
235
141.
741
151.
131
161.
011
171.
38
181.
234
190.
967
200.
968
211.
189
221.
134
230.
329
241.
296
251.
15
261.
34
270.
726
281.
094
290.
716
300.
378
310.
422
320.
797
330.
938
341.
167
350.
809
361.
136
371.
093
381.
422
391.
07
400.
033
410.
584
420.
561
430.
567
441.
274
452.
613
460.
754
471.
063
481.
663
491.
341
500.
844
510.
973
521.
037
531.
78
540.
727
551.
178
561.
056
570.
463
581.
333
591.
148
601.
448
611.
052
621.
178
630.
611
640.
4
650.
501
660.
418
671.
02
681.
506
690.
361
701.
019
710.
464
721.
096
730.
796
740.
503
751.
418
763.
266
771.
043
782.
067
791.
358
801.
391
810.
994
821.
159
831.
747
840.
761
850.
443
860.
224
870.
187
880.
456
890.
673
900.
456
910.
521
920.
774
930.
986
941.
487
950.
729
960.
356
970.
607
980.
776
991.
663
01.
236
11.
99
20.
372
30.
686
40.
203
50.
207
61.
438
70.
806
80.
876
90.
806
101.
413
110.
902
121.
272
132.
338
142.
013
151.
565
161.
581
171.
133
180.
483
190.
502
201.
25
210.
785
220.
094
232.
057
240.
94
252.
215
261.
604
270.
883
280.
507
290.
183
300.
663
310.
2
320.
421
330.
974
1.005 0 0.2 0 0.1 0
1.050 0.3 0.3 0.3 0.3 0
1.250 0.6 0.5 0.6 0.5 0
2.000 0.9 0.8 0.9 0.9 0
5.000 1.4 4.8 1.5 6.66 1.4 4.55 1.4 4.98 0 0
10.000 1.7 5 2 7.73 1.7 5.05 1.8 4.97 0 0
20.000 2 5.19 2.5 8.78 2 5.85 2 5.28 0 0
50.000 2.4 5.39 3.3 10.1 2.3 7.07 2.4 6.14 0 0
100.000 2.7 5.51 3.9 11 2.6 8.03 2.6 7.02 0 0
200.000 3 5.62 4.6 11.9 2.8 8.99 2.8 8.02 0 0
500.000 3.4 5.73 5.7 13 3.1 10.2 3 9.45 0 0
1000.000 3.7 5.81 6.5 13.8 3.4 11.2 3.2 10.6 0 0
2000.000 4 5.87 7.4 14.5 3.6 12.1 3.3 11.7 0 0
5000.000 4.4 5.94 8.7 15.4 4 13.2 3.5 13.1 0 0
10000.000 4.7 5.99 9.8 16.1 4.2 14.1 3.6 14.2 0 0
F
GUMBEL I LOG NORMALLOG NORMAL DE TRES
PARAMETROS
Periodo de
retornoF
% Error
estandarF
% Error
estandar
% Error
estandarF
% Error
estandar
LOG PERSON III
MAX VEROSIMILITUD MOMENTOS
F% Error
estandar
obtenidos de la información de la data del TDPS, 1960 – 1997, se adicionó la estación Azángaro
para fines de ajuste del modelo. Tal como se muestra en la siguiente tabla:
Cuadro N° 04: Caudales máximos instantáneos -
Donde:
A = Área (Km2)
L = Longitud (Km)
P = Precipitación (mm)
La ecuación de regresión que se plantea es de la siguiente manera:
Qpmáx= α1.An1.Ln2.Pn3
Para fines de estimación del modelo regional para el río Ilave, se utiliza la información del área,
longitud del cauce y la precipitación, sin embargo para resolver la ecuación es necesario linealizar
y resolver en el ambiente logarítmico. En la siguiente tabla se muestra los resultados obtenidos:
Cuadro N° 04: Logaritmo natural de los parámetros de la cuenca
En las siguientes tablas se muestran el resumen de las estadísticas de los datos resueltos.
ESTACION Qpmax A L P
PTE RAMIS 444 14704 368 747
PTE AYAVIRI 185 3710 113 831
PTE AZANGARO 191 8286 245 728
PTE HUANCANE 165 3541 125 720
PTE UNOCOLLA-MARAVILLAS 370 4497 132 726
PTE ISLA CABANILLAS 294 2832 127 718
PTE ILAVE 482 7771.5 170 630
ESTACION Ln(Qpmax) Ln(A) Ln(L) Ln(P)
PTE RAMIS 6.0958246 9.595875 5.90808 6.616065
PTE AYAVIRI 5.2203558 8.218787 4.72739 6.72263
PTE AZANGARO 5.2522734 9.022323 5.50126 6.590301
PTE HUANCANE 5.1059455 8.172164 4.82831 6.579251
PTE UNOCOLLA-MARAVILLAS 5.913503 8.411166 4.8828 6.58755
PTE ISLA CABANILLAS 5.6835798 7.948738 4.84419 6.57647
PTE ILAVE 6.1779441 8.958218 5.1358 6.44572
La ecuación obtenida queda de la siguiente manera:
Para estimar los caudales máximos instantáneos a diferentes periodos de retorno consideramos
la Estación Puente Ilave. Los parámetros físicos de sus cuencas y sus precipitaciones areales se
muestran en la siguiente tabla.
Cuadro N° 05: Caudales máximos calculados
ESTACION Area
(km2) Longitud
(km) Precipitacion areal (mm)
Qpmax (m3/s)
Aguas Calientes 3693.03 127.53 738.5 237
Conduriri 606.15 63 599.8 178
Ayupalca 369.21 55.82 569 159
Medio Alto Ilave 869.9 41.8 477 435
Llusta 525.25 38.14 484.1 326
Alto Ilave 727.13 51.3 441.3 435
Reemplazando, los valores, en la ecuación planteada y utilizando el factor F para cada periodo
de retorno, se ha calculado caudales para diferentes periodos de retorno, en el río Ilave, el
resumen de los cálculos se muestra en el siguiente cuadro.
Resumen
Estadísticas de la regresión
Coeficiente de correlación múltiple0.681733
Coeficiente de determinación R^20.46475989
R^2 ajustado -0.07048022
Error típico 0.45987724
Observaciones 7
ANÁLISIS DE VARIANZA
Grados de libertadSuma de cuadradosPromedio de los cuadradosF Valor crítico de F
Regresión 3 0.5509156 0.18363853 0.86832037 0.54483192
Residuos 3 0.63446122 0.21148707
Total 6 1.18537682
Coeficientes Error típico Estadístico t Probabilidad Inferior 95%Superior 95%Inferior 95.0%Superior 95.0%
Intercepción 17.9266876 17.2962429 1.03644981 0.37620332 -37.1176768 72.971 -37.1176768 72.971052
Variable X 1 0.57222712 0.99298863 0.57626754 0.60482624 -2.58790588 3.7324 -2.58790588 3.73236012
Variable X 2 -0.37566399 1.32202251 -0.28415854 0.79477322 -4.58292963 3.8316 -4.58292963 3.83160166
Variable X 3 -2.32228401 2.44786191 -0.94869894 0.41276362 -10.1124731 5.4679 -10.1124731 5.46790508
n1 0.57222712
n2 -0.375663985
n3 -2.322284005
@ 61018498.3
Qpmax = 6.1 ∗ 107A0.57222712 L−0.37566399P−2.32228401
Cuadro N° 06: Caudales de diseño para diferentes periodos de las cuencas.
Información utilizada para determinar los caudales de diseño para las sub cuencas denominadas
Aguas calientes, Conduriri, Ayupalca, Medio alto Ilave, llusta y Alto Ilave de la cuenca de Ilave.
5 10 20 50 100 200 500 1000 2000 5000 10000
Aguas Calientes 237 331.8 402.9 474.0 568.8 639.9 711.0 805.8 876.9 948.0 1042.8 1113.9
Conduriri 178 249.2 302.6 356.0 427.2 480.6 534.0 605.2 658.6 712.0 783.2 836.6
Ayupalca 159 222.6 270.3 318.0 381.6 429.3 477.0 540.6 588.3 636.0 699.6 747.3
Medio Alto Ilave 435 609.0 739.5 870.0 1044.0 1174.5 1305.0 1479.0 1609.5 1740.0 1914.0 2044.5
Llusta 326 456.4 554.2 652.0 782.4 880.2 978.0 1108.4 1206.2 1304.0 1434.4 1532.2
Alto Ilave 435 609.0 739.5 870.0 1044.0 1174.5 1305.0 1479.0 1609.5 1740.0 1914.0 2044.5
ESTACION Qpmax
(m3/s)
CAUDALES DE DISEÑO PARA DIFERENTES PERIODOS DE RETORNO (M3/S)
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
1960 176.0 75.2 93.6 18.7 0.1 0.9 0.0 7.5 5.8 46.4 84.7 44.8 553.7
1961 197.5 130.7 76.3 42.0 0.0 1.1 0.0 20.7 0.1 2.0 1.1 42.9 514.4
1962 87.6 126.4 52.3 77.5 0.1 0.0 0.1 3.4 0.2 8.1 21.6 72.4 449.7
1963 301.8 49.7 42.1 11.5 0.3 0.0 19.2 0.1 1.1 77.9 49.8 71.9 625.4
1964 25.2 133.0 62.4 11.9 0.5 0.8 0.0 35.9 1.5 2.3 21.5 40.2 335.2
1965 72.3 64.6 47.7 18.3 0.0 0.0 0.0 1.0 1.9 5.6 3.0 63.7 278.1
1966 23.5 97.9 61.8 40.0 2.6 0.0 0.0 0.8 4.5 79.8 26.7 42.9 380.5
1967 36.7 85.1 104.2 12.9 0.0 0.0 0.0 2.3 11.3 5.8 0.2 28.2 286.7
1968 96.5 110.6 74.6 6.7 7.6 3.9 0.0 1.7 2.9 30.6 59.8 36.9 431.8
1969 81.9 53.7 47.9 0.9 0.3 0.4 0.0 0.0 0.7 38.0 47.0 82.6 353.4
1970 89.9 76.9 79.8 2.4 3.0 0.0 0.0 0.0 1.5 12.3 3.0 38.3 307.1
1971 45.9 199.8 48.6 16.4 1.1 0.0 0.0 0.8 0.0 20.4 28.7 61.8 423.5
1972 177.3 72.2 80.8 21.9 1.3 0.0 0.0 0.0 1.8 26.8 26.2 63.5 471.8
1973 267.9 90.9 73.4 2.7 1.5 0.8 0.0 4.6 7.7 7.8 15.7 81.6 554.6
1974 324.8 211.7 51.3 12.0 0.0 0.0 1.5 33.5 4.0 3.0 2.7 27.6 672.1
1975 220.5 90.8 64.2 10.9 2.8 2.3 0.0 3.0 2.1 9.1 3.0 85.7 494.4
1976 142.4 54.3 101.3 6.4 1.1 0.0 1.5 3.0 27.5 0.2 0.8 25.4 363.9
1977 53.1 245.6 112.9 12.4 1.7 0.0 0.0 0.0 5.2 23.8 63.6 74.3 592.6
1978 210.0 43.3 60.7 57.4 0.0 0.0 6.2 2.0 1.9 6.8 84.0 55.0 527.3
1979 122.6 34.9 79.9 0.4 0.0 0.0 0.0 5.6 0.0 41.8 19.4 69.5 374.1
1980 13.8 46.6 122.2 2.9 0.0 0.0 1.4 4.4 7.7 8.8 7.1 35.2 250.1
1981 95.9 163.8 52.2 40.5 0.9 0.0 0.0 30.3 2.1 3.7 14.1 70.1 473.6
1982 158.5 36.4 45.9 4.6 0.2 0.0 1.3 0.0 10.7 43.2 27.7 12.5 341.0
1983 9.2 44.8 16.7 8.3 1.9 0.4 0.0 0.0 2.2 10.4 2.8 35.1 131.8
1984 142.0 126.6 137.4 4.4 3.8 4.0 0.0 2.3 21.9 22.7 99.4 77.3 641.8
1985 65.3 113.8 70.4 11.1 0.2 28.5 2.3 0.0 6.9 4.5 59.8 51.6 414.4
1986 124.6 198.0 132.9 13.7 0.9 0.0 0.1 19.4 2.5 0.0 6.8 82.6 581.5
1987 130.8 34.0 44.7 7.1 1.5 0.2 2.6 1.0 3.1 7.4 11.0 45.8 289.2
1988 103.8 30.2 62.9 17.3 3.1 0.0 0.0 0.0 8.3 11.2 0.2 51.4 288.4
1989 176.3 48.2 70.3 42.6 2.3 1.1 2.0 0.0 0.0 0.2 1.3 12.8 357.1
1990 120.7 19.3 49.4 13.9 2.6 80.6 0.0 3.9 0.1 18.3 20.1 34.0 362.9
1991 136.5 93.7 250.7 83.0 0.0 20.0 0.9 0.0 2.2 30.5 18.3 59.0 694.8
1992 191.3 29.4 6.9 24.3 0.0 0.8 0.0 2.9 0.0 24.5 31.3 60.5 371.9
1993 268.6 24.9 141.8 7.4 0.9 3.0 0.0 53.5 0.7 40.1 43.7 177.4 762.0
1994 217.1 166.9 90.6 3.8 0.8 0.0 0.0 0.0 0.8 0.3 35.4 94.9 610.6
1995 109.7 93.0 134.8 10.1 0.3 0.0 0.0 0.0 0.0 4.4 25.1 49.1 426.5
1996 104.6 92.9 32.9 22.6 5.1 0.0 0.0 0.9 0.2 0.6 30.8 51.2 341.8
1997 142.8 182.9 74.0 5.5 1.1 0.2 0.0 2.9 6.3 13.2 36.8 55.4 521.1
1998 160.0 62.2 51.0 6.6 0.1 3.4 0.0 0.2 0.3 25.7 25.4 17.3 352.2
1999 74.2 235.5 118.4 23.1 0.6 0.0 0.0 2.3 1.7 44.5 0.4 29.7 530.4
2000 237.5 111.5 113.3 9.5 0.2 0.8 0.7 0.1 8.1 85.6 19.0 43.8 630.1
2001 150.0 139.2 68.0 31.2 0.7 1.2 0.0 3.6 5.0 6.6 26.1 32.8 464.4
2002 29.3 99.7 107.6 8.1 1.8 6.2 1.7 0.6 28.0 62.4 70.7 42.3 458.4
2003 56.8 41.9 82.9 19.3 0.6 1.8 0.3 0.1 0.3 15.9 30.7 18.0 268.6
2004 148.9 43.8 48.5 17.9 17.3 0.7 0.7 3.0 24.3 4.2 0.1 67.4 376.8
2005 76.0 158.9 44.5 9.2 5.6 0.0 0.3 0.0 0.2 9.2 15.9 66.2 386.0
2006 168.4 40.3 115.0 30.2 8.7 0.1 0.0 0.1 0.2 26.8 50.6 42.9 483.3
2007 101.1 63.7 46.2 6.2 3.3 0.8 0.0 0.4 81.8 5.5 42.6 29.8 381.4
Nº DATOS 48 48 48 48 48 48 48 48 48 48 48 48 48
PROM. 130.6 95.6 78.1 18.1 1.8 3.4 0.9 5.4 6.4 20.4 27.4 53.2 441.3
DESVEST 75.9 59.2 40.9 18.1 3.0 12.4 2.9 11.2 13.1 21.8 24.8 27.5 132.9
MAXIMA 324.8 245.6 250.7 83.0 17.3 80.6 19.2 53.5 81.8 85.6 99.4 177.4 762.0
MINIMA 9.2 19.3 6.9 0.4 0.0 0.0 0.0 0.0 0.0 0.0 0.1 12.5 131.8
PRECIPITACION AREAL MENSUAL (mm)
SUBCUENCA ALTO ILAVE
(RIO CHICHILLAPI)
AÑOMESES TOTAL
ANUAL
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
1960 221.1 123.6 86.5 28.2 0.2 0.1 0.0 7.1 11.6 32.7 142.0 50.1 703.2
1961 187.6 200.4 89.5 30.3 0.0 1.1 0.0 0.8 1.8 5.5 3.6 29.4 550.0
1962 133.6 148.0 97.4 44.3 1.0 0.0 0.1 0.1 0.5 9.3 16.8 78.3 529.4
1963 186.8 97.0 58.8 12.6 1.1 0.0 0.5 0.0 6.1 129.9 22.4 60.1 575.3
1964 41.4 154.8 82.8 12.7 4.6 0.0 0.0 1.4 0.4 7.7 39.3 32.8 377.9
1965 91.0 115.4 38.1 11.5 0.0 0.0 0.0 3.5 11.8 12.5 6.4 62.3 352.5
1966 17.6 103.8 75.7 8.2 10.0 0.0 0.0 0.0 0.1 17.7 22.3 57.1 312.5
1967 94.7 100.0 113.1 14.9 1.0 0.0 0.0 0.1 4.1 5.1 1.2 47.3 381.5
1968 119.6 159.0 91.7 6.1 28.7 12.0 0.0 0.7 7.1 60.6 114.2 48.4 648.1
1969 117.2 83.2 34.4 3.0 18.2 1.4 0.0 0.0 4.0 6.1 32.6 97.3 397.4
1970 125.7 84.9 67.5 8.7 10.7 0.0 0.0 0.0 0.0 10.3 0.7 46.6 355.1
1971 131.1 195.6 83.7 20.8 3.3 0.0 0.0 0.4 0.0 0.5 43.2 81.1 559.7
1972 188.6 84.5 134.9 33.1 4.0 0.0 0.1 0.0 3.1 19.2 10.3 55.7 533.5
1973 194.3 97.0 60.5 6.4 5.1 0.1 0.0 12.2 7.0 1.3 6.1 51.7 441.7
1974 252.4 188.3 35.9 14.7 0.0 0.2 0.0 37.8 1.0 9.4 8.1 21.4 569.2
1975 141.2 119.3 120.5 19.0 4.1 0.2 0.0 0.1 8.3 1.0 0.2 95.8 509.7
1976 204.2 61.5 64.9 4.3 0.7 0.0 0.2 7.0 4.9 0.7 0.0 14.2 362.6
1977 45.9 206.4 101.6 5.6 0.1 0.0 0.0 0.0 4.2 13.0 49.8 76.7 503.3
1978 217.3 50.7 91.4 45.2 0.0 0.0 0.2 8.0 6.0 2.2 72.6 88.6 582.2
1979 138.2 51.0 112.9 1.5 0.1 0.0 0.0 0.1 0.0 33.0 11.4 101.2 449.4
1980 49.7 61.7 187.6 14.7 0.0 0.0 0.0 3.8 6.5 28.4 3.7 33.6 389.7
1981 89.0 228.7 118.7 36.1 2.7 0.0 0.0 20.3 4.0 6.3 6.2 106.2 618.2
1982 185.7 103.1 59.2 15.4 0.9 0.0 0.0 0.0 11.0 42.2 17.9 16.0 451.4
1983 26.5 52.1 15.9 11.9 5.9 1.3 1.4 1.3 0.7 28.3 10.1 50.5 205.9
1984 225.3 182.8 140.9 11.7 0.1 5.4 0.0 0.1 0.5 50.1 152.5 66.7 836.1
1985 159.7 113.7 113.2 34.1 0.7 3.8 0.1 0.0 3.2 0.1 101.1 142.0 671.7
1986 154.1 257.8 162.7 11.6 2.7 0.0 0.0 2.8 2.1 0.1 5.5 141.2 740.6
1987 179.7 80.0 29.5 18.7 4.6 0.7 9.4 0.7 2.7 11.3 11.5 31.1 379.9
1988 122.6 50.8 86.8 30.9 10.2 0.1 0.0 0.0 0.4 25.0 1.1 38.3 366.2
1989 75.5 98.0 125.7 78.7 4.9 5.9 0.2 0.0 0.1 0.7 0.8 9.1 399.6
1990 80.6 42.4 64.3 19.6 7.9 32.6 0.0 6.6 0.1 43.2 62.2 87.4 446.9
1991 135.6 81.5 108.6 15.3 1.3 10.5 0.0 0.0 2.0 7.3 9.3 60.6 432.0
1992 144.8 31.6 18.2 4.6 0.0 2.5 0.0 6.2 0.0 14.8 21.8 86.1 330.6
1993 192.2 60.0 73.7 14.1 2.7 0.1 0.0 39.9 2.1 37.3 31.4 129.3 582.8
1994 179.0 152.2 68.2 28.3 5.3 0.0 0.0 0.2 3.2 1.6 85.7 100.9 624.6
1995 88.0 51.2 71.6 3.2 0.0 0.0 0.0 0.0 0.5 0.6 50.4 45.0 310.5
1996 147.5 87.3 43.6 24.2 4.5 0.0 0.0 4.2 0.6 1.8 45.8 79.2 438.7
1997 200.0 127.7 66.8 14.5 8.9 0.0 0.0 10.3 20.6 14.8 60.1 55.4 579.1
1998 163.1 90.0 53.3 6.8 0.3 7.8 0.0 0.1 0.6 9.4 13.5 11.6 356.5
1999 106.1 127.8 156.5 26.4 1.7 0.1 0.0 5.3 2.1 59.0 0.6 16.3 501.9
2000 159.7 88.1 103.5 8.3 1.3 0.2 0.0 0.2 0.6 10.3 18.9 60.9 452.0
2001 224.3 179.7 101.7 29.9 2.1 1.9 0.0 6.2 10.8 20.4 27.0 26.5 630.5
2002 58.2 123.7 88.3 38.3 7.9 4.2 4.1 1.8 1.2 22.6 104.7 75.7 530.7
2003 86.0 56.5 59.3 10.1 2.6 0.0 2.0 0.1 1.0 23.7 64.0 34.7 340.0
2004 107.6 61.1 90.9 30.4 53.3 15.8 10.4 11.1 5.4 0.6 0.7 56.9 444.2
2005 104.6 196.7 35.9 16.0 17.3 0.0 0.0 0.0 2.3 5.7 29.6 136.0 544.1
2006 182.8 65.4 74.1 54.8 27.1 0.3 0.0 0.0 0.4 13.1 13.1 76.2 507.3
2007 117.6 107.4 82.1 18.8 0.7 0.0 0.6 0.0 4.3 7.6 48.6 45.3 433.0
Nº DATOS 48 48 48 48 48 48 48 48 48 48 48 48 48
PROM. 137.4 112.2 84.2 20.0 5.6 2.3 0.6 4.2 3.6 18.0 33.4 62.8 484.1
DESVEST 57.5 54.8 37.2 15.1 9.6 5.6 2.1 8.4 4.2 22.8 38.2 34.2 126.9
MAXIMA 252.4 257.8 187.6 78.7 53.3 32.6 10.4 39.9 20.6 129.9 152.5 142.0 836.1
MINIMA 17.6 31.6 15.9 1.5 0.0 0.0 0.0 0.0 0.0 0.1 0.0 9.1 205.9
AÑO
SUBCUENCA LLUSTA
TOTAL
ANUAL
MESES
(RIO LLUSTA ALTA)
PRECIPITACION AREAL MENSUAL (mm)
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
1960 191.9 90.8 74.2 25.4 0.1 0.4 0.0 9.1 16.4 40.3 102.7 40.5 591.8
1961 187.9 172.5 105.0 30.3 0.0 0.7 0.0 7.7 0.6 4.5 2.0 38.0 549.2
1962 135.6 134.6 102.7 65.4 1.2 0.0 0.0 1.2 4.0 7.4 37.1 73.1 562.3
1963 233.9 97.6 59.4 12.6 0.6 0.0 6.9 0.0 2.6 87.3 41.3 58.3 600.5
1964 36.4 140.9 85.0 11.7 7.0 0.3 0.0 13.6 3.9 4.4 30.6 44.7 378.5
1965 87.0 85.1 40.9 19.8 0.0 0.0 0.0 2.9 7.6 8.4 5.9 65.1 322.7
1966 22.8 94.9 62.3 20.1 11.8 0.0 0.0 0.3 1.6 42.0 33.9 64.6 354.3
1967 56.3 84.5 103.1 14.7 1.8 0.0 0.8 0.8 14.3 4.9 2.4 46.0 329.6
1968 121.7 133.2 89.0 6.9 23.1 7.6 0.0 0.9 5.4 49.4 108.3 50.4 595.9
1969 129.7 62.8 33.5 2.1 4.6 2.1 0.2 0.0 1.9 19.8 38.5 88.6 383.8
1970 110.7 83.1 80.9 7.5 5.6 0.0 0.0 0.0 0.8 11.3 5.2 66.3 371.4
1971 119.7 190.5 56.1 15.0 1.8 0.0 0.0 0.4 0.0 7.3 35.7 89.8 516.3
1972 198.8 87.8 126.3 22.8 2.2 0.0 0.0 0.0 4.0 22.3 24.1 70.0 558.3
1973 212.2 104.2 78.3 26.9 5.8 0.6 0.0 9.0 14.4 3.2 13.9 58.9 527.4
1974 297.0 191.1 55.8 15.1 0.0 0.1 0.5 44.9 1.8 5.5 8.9 31.8 652.5
1975 160.0 121.8 93.6 15.1 2.8 0.9 0.0 1.1 3.6 5.5 2.5 89.4 496.3
1976 171.5 64.2 83.2 4.1 1.2 0.0 0.6 15.9 11.3 0.4 0.3 25.5 378.2
1977 49.7 213.9 93.9 7.6 1.0 0.0 0.0 0.0 9.2 20.2 66.4 76.7 538.6
1978 209.8 45.9 69.2 48.7 0.0 0.0 2.2 3.9 3.7 4.1 81.3 70.2 539.0
1979 130.0 32.6 105.2 0.8 0.0 0.0 0.0 2.0 0.0 37.3 12.5 93.6 414.0
1980 35.2 61.3 143.0 5.2 0.0 0.0 0.5 2.5 16.3 16.9 4.5 36.7 322.1
1981 105.0 225.8 96.9 38.7 3.7 0.0 0.0 26.9 2.4 5.1 10.5 92.1 607.1
1982 170.2 60.5 69.4 12.0 1.2 0.0 2.2 0.0 13.3 50.5 26.9 13.3 419.5
1983 21.1 50.4 12.5 19.2 4.8 0.7 0.3 0.4 5.3 18.5 5.3 35.5 174.0
1984 198.2 193.9 169.3 6.7 1.4 4.8 0.0 0.8 7.9 41.1 129.5 54.0 807.6
1985 115.6 138.4 82.7 34.4 1.3 14.2 0.8 1.0 10.3 1.6 83.3 106.4 590.0
1986 139.3 251.4 163.6 12.0 1.5 0.0 0.8 8.8 1.5 0.0 8.4 122.0 709.3
1987 156.3 45.0 31.2 11.0 2.6 2.7 9.5 0.6 2.3 14.7 14.9 34.7 325.5
1988 101.6 40.7 59.4 36.3 8.8 0.0 0.0 0.0 3.0 17.4 0.5 43.5 311.2
1989 129.8 121.3 138.3 51.4 2.9 2.5 0.8 0.0 0.0 0.4 0.8 8.2 456.4
1990 85.4 33.6 54.0 13.2 9.0 46.5 5.3 8.9 0.6 35.8 30.7 49.7 372.7
1991 118.2 84.2 171.0 36.5 0.4 9.7 0.8 0.0 1.7 18.1 9.7 45.1 495.4
1992 129.0 35.3 10.1 11.6 0.0 1.4 0.0 5.6 0.2 22.4 24.5 60.2 300.3
1993 203.1 32.3 103.7 13.0 2.1 1.1 0.0 46.5 4.7 43.3 37.4 133.5 620.7
1994 168.2 141.7 77.1 18.0 2.1 0.1 0.5 0.5 2.6 1.6 53.9 91.9 558.2
1995 92.3 65.5 97.5 7.7 0.2 0.0 0.0 0.0 1.1 2.4 35.5 49.3 351.5
1996 140.0 89.1 36.3 22.6 7.3 0.0 0.0 5.7 0.3 1.2 38.4 73.7 414.6
1997 191.8 157.8 68.6 11.1 4.5 0.1 0.0 13.0 20.3 13.1 55.2 63.6 599.1
1998 152.1 68.6 60.7 8.5 0.2 9.4 0.0 0.2 0.5 16.2 23.0 15.7 355.1
1999 107.0 175.5 155.1 33.3 1.4 0.0 0.0 3.0 3.6 50.2 0.4 27.5 557.0
2000 191.6 106.4 94.2 12.2 2.1 0.7 0.2 0.4 3.2 40.8 17.1 60.5 529.4
2001 207.0 161.8 91.9 30.9 2.5 1.2 0.0 5.6 6.6 14.7 24.4 28.4 575.0
2002 50.9 126.9 99.0 35.9 8.2 5.9 4.3 1.5 10.8 43.3 78.7 63.7 529.1
2003 80.3 62.1 75.0 12.8 3.1 0.7 1.2 2.1 2.4 15.2 42.1 38.5 335.5
2004 128.7 69.3 71.0 23.5 30.0 4.6 9.8 20.2 14.1 1.7 0.3 57.8 431.0
2005 96.6 181.3 39.1 20.9 9.8 0.0 0.1 0.0 5.5 7.1 22.4 119.2 502.0
2006 200.9 68.5 94.0 40.9 18.2 0.2 0.0 0.1 1.6 24.5 37.1 68.5 554.5
2007 104.2 94.4 75.3 17.2 1.4 0.4 0.1 0.2 33.1 5.7 47.8 49.9 429.7
Nº DATOS 48 48 48 48 48 48 48 48 48 48 48 48 48
PROM. 135.0 107.8 84.1 20.2 4.2 2.5 1.0 5.6 5.9 18.9 31.6 60.1 477.0
DESVEST 60.1 56.5 37.3 13.9 6.0 7.2 2.3 10.3 6.6 18.7 30.8 28.1 125.7
MAXIMA 297.0 251.4 171.0 65.4 30.0 46.5 9.8 46.5 33.1 87.3 129.5 133.5 807.6
MINIMA 21.1 32.3 10.1 0.8 0.0 0.0 0.0 0.0 0.0 0.0 0.3 8.2 174.0
PRECIPITACION AREAL MENSUAL (mm)
AÑO
SUBCUENCA MEDIO ALTO ILAVE
MESES TOTAL
ANUAL
(RIO LLUSTA BAJA)
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
1960 184.8 104.5 32.6 36.0 3.1 0.3 0.1 10.0 45.6 30.2 53.0 34.5 534.7
1961 180.5 172.6 151.9 23.1 1.1 0.2 0.0 0.7 11.8 10.0 3.8 72.8 628.5
1962 158.5 130.3 134.2 62.4 5.5 0.0 20.6 0.6 12.6 32.8 100.9 96.1 754.5
1963 186.0 147.3 79.9 17.7 1.1 0.5 0.2 0.1 5.9 46.7 42.6 64.7 592.7
1964 58.1 104.6 113.7 12.3 18.7 0.0 0.0 3.5 12.6 5.2 29.5 76.1 434.3
1965 104.7 71.9 37.2 27.3 0.4 1.5 1.5 4.6 18.3 4.5 10.4 92.6 374.9
1966 33.0 80.2 50.2 10.7 32.3 0.0 0.0 0.0 0.3 21.9 63.6 85.9 378.1
1967 50.1 94.4 123.4 19.4 6.1 0.0 3.4 0.2 39.0 15.6 8.2 98.2 458.0
1968 146.6 116.0 110.7 11.0 33.4 5.2 0.0 0.1 5.8 47.7 141.3 72.8 690.6
1969 174.0 56.7 17.8 2.6 0.7 3.4 0.5 0.0 2.7 13.9 37.3 76.4 386.0
1970 128.1 104.8 114.0 19.2 3.6 0.0 0.0 0.0 3.6 16.1 16.8 137.4 543.6
1971 194.1 194.1 55.4 13.4 1.0 0.4 0.0 0.7 0.2 2.2 37.0 140.9 639.4
1972 241.5 142.1 166.3 4.2 0.1 0.0 0.7 0.0 11.6 22.8 51.9 99.0 740.2
1973 186.4 139.7 114.4 77.9 12.1 2.1 0.7 12.0 28.7 1.0 17.3 34.7 627.0
1974 302.2 201.1 73.2 20.8 0.1 0.1 0.0 76.0 1.2 1.5 14.8 48.0 739.0
1975 121.7 203.8 117.3 8.7 8.2 0.4 0.0 0.1 2.7 8.3 8.6 124.3 604.1
1976 219.7 109.8 81.9 4.7 2.4 0.0 2.2 42.0 6.8 0.4 0.5 51.6 522.0
1977 55.9 190.8 99.4 5.9 2.9 0.0 0.0 0.0 20.6 22.7 91.9 86.9 577.0
1978 210.7 55.9 71.9 44.2 0.0 0.0 3.6 3.3 2.8 3.9 89.0 79.6 564.9
1979 153.9 36.3 121.0 7.5 0.2 0.0 2.9 1.5 0.8 28.9 5.2 101.9 460.1
1980 52.1 69.8 146.1 0.8 0.2 0.0 0.0 2.7 42.4 31.6 7.3 49.5 402.5
1981 163.7 264.9 114.4 30.5 5.4 0.0 0.0 28.6 5.3 14.5 15.3 104.7 747.3
1982 193.5 59.6 121.0 26.8 4.4 0.6 4.1 0.0 29.5 75.9 56.1 22.7 594.2
1983 33.3 41.6 8.3 28.5 3.6 1.0 0.0 4.0 15.6 6.5 12.4 55.2 210.0
1984 296.1 308.2 197.2 2.3 0.1 2.6 0.0 0.1 0.2 79.3 128.2 48.1 1062.4
1985 137.5 236.1 73.8 67.2 8.0 14.6 0.0 7.0 25.3 5.0 80.9 151.3 806.7
1986 156.3 262.6 219.5 44.6 3.7 0.0 5.1 5.9 1.4 2.2 25.8 154.8 881.9
1987 197.9 24.9 24.1 6.1 0.2 7.0 24.3 0.5 4.5 37.2 42.4 23.2 392.3
1988 126.5 43.9 80.3 79.5 11.1 0.3 0.0 0.0 12.2 6.8 1.1 59.3 421.0
1989 136.2 199.6 215.0 35.3 5.7 2.5 2.7 4.0 3.5 2.2 7.7 11.7 626.1
1990 87.5 33.8 42.6 14.8 14.8 29.3 12.7 18.1 3.9 53.2 29.6 58.2 398.5
1991 84.8 76.4 158.4 23.3 0.7 3.2 3.1 0.9 6.0 24.9 7.0 21.4 410.1
1992 84.0 47.0 7.1 9.1 0.5 1.3 1.3 23.4 0.9 44.1 31.9 52.9 303.5
1993 133.9 42.9 116.6 29.2 5.5 0.4 0.0 42.8 14.5 58.9 55.0 99.6 599.3
1994 119.6 145.3 80.4 39.7 4.9 0.4 2.1 1.6 4.0 13.2 38.2 106.8 556.2
1995 84.0 71.2 94.2 12.0 2.5 0.6 0.0 0.7 8.8 8.9 27.0 71.6 381.5
1996 182.4 101.4 41.5 28.6 8.9 0.0 0.0 16.0 1.5 4.5 45.3 108.0 538.1
1997 221.5 183.0 73.8 21.3 3.2 0.0 0.0 36.9 49.7 15.1 71.9 79.2 755.6
1998 127.0 64.5 65.7 14.9 0.0 20.7 0.0 0.6 0.7 13.2 46.7 20.7 374.7
1999 126.2 191.3 220.9 65.4 3.3 0.5 0.0 0.0 9.1 45.8 3.4 66.4 732.3
2000 216.3 145.3 72.9 21.3 6.3 1.7 0.0 5.9 2.0 36.8 6.9 82.5 597.9
2001 291.3 193.1 131.9 30.9 4.0 0.7 1.7 10.0 1.5 22.7 18.0 31.6 737.4
2002 76.2 181.2 120.2 70.3 18.4 9.6 14.7 4.9 3.1 51.4 44.7 87.9 682.6
2003 119.6 120.0 112.6 6.6 7.7 0.0 3.2 10.4 10.1 11.6 9.3 84.3 495.4
2004 167.3 134.9 66.7 15.3 0.0 2.0 31.9 59.7 14.1 0.1 4.8 53.7 550.5
2005 102.0 183.2 45.9 35.9 0.0 0.0 0.0 0.0 27.5 18.6 32.0 167.1 612.2
2006 261.2 118.3 111.7 34.4 8.2 0.6 0.0 2.7 9.3 35.9 54.5 86.2 723.0
2007 80.9 88.2 116.4 25.3 2.4 0.4 0.0 0.2 20.8 8.0 37.7 88.5 468.8
Nº DATOS 48 48 48 48 48 48 48 48 48 48 48 48 48
PROM. 148.9 126.9 98.9 26.0 5.6 2.4 3.0 9.2 11.7 22.2 36.8 77.5 569.0
DESVEST 68.0 68.7 52.6 20.5 7.4 5.6 6.7 16.5 12.7 20.0 33.0 36.7 163.9
MAXIMA 302.2 308.2 220.9 79.5 33.4 29.3 31.9 76.0 49.7 79.3 141.3 167.1 1062.4
MINIMA 33.0 24.9 7.1 0.8 0.0 0.0 0.0 0.0 0.2 0.1 0.5 11.7 210.0
PRECIPITACION AREAL MENSUAL (mm)
TOTAL
ANUAL
SUBCUENCA AYUPALCA
MESESAÑO
(RIO AYUPALCA)
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
1960 181.1 106.6 32.4 42.2 6.2 0.2 0.1 7.1 64.1 18.0 52.7 34.8 545.5
1961 169.5 154.2 144.5 20.0 2.3 0.2 0.0 0.4 17.4 14.6 5.1 100.8 629.0
1962 144.2 106.9 104.2 46.0 9.2 0.0 46.3 1.2 7.2 60.5 117.3 118.8 761.8
1963 141.9 130.6 80.8 23.5 2.1 1.1 0.5 0.0 6.8 33.6 25.0 79.5 525.4
1964 66.0 90.5 123.6 14.5 19.2 0.0 0.0 3.4 14.5 8.1 38.5 84.8 463.1
1965 110.3 69.9 34.3 23.4 0.8 3.4 3.5 4.0 23.3 5.9 10.5 119.3 408.6
1966 31.0 88.1 54.4 9.9 36.3 0.0 0.0 0.0 0.5 19.6 66.0 65.5 371.3
1967 74.6 111.0 147.9 25.6 7.4 0.0 4.5 0.0 41.9 27.1 9.6 126.8 576.4
1968 143.0 103.5 125.2 15.6 35.1 2.0 0.0 0.0 3.6 46.3 121.9 74.9 671.1
1969 143.7 63.1 14.1 0.9 1.3 1.8 0.3 0.0 3.6 14.2 42.4 64.1 349.5
1970 134.0 113.2 125.1 27.3 6.5 0.0 0.0 0.0 5.6 23.4 19.0 142.6 596.7
1971 172.4 193.3 72.6 22.9 2.2 0.9 0.0 0.0 0.0 4.6 37.4 132.1 638.4
1972 237.2 175.2 158.7 2.7 0.0 0.0 1.0 0.0 11.5 24.8 58.3 89.9 759.3
1973 197.5 137.6 133.3 68.8 13.2 0.4 1.3 9.8 22.2 0.0 11.4 26.7 622.2
1974 273.0 208.6 61.2 18.6 0.0 0.0 0.0 74.7 0.0 0.4 6.9 44.0 687.4
1975 141.7 214.1 131.2 4.1 13.0 0.0 0.0 0.0 0.5 4.6 12.7 139.1 661.0
1976 238.3 135.4 82.4 9.0 2.9 0.0 4.2 35.1 8.8 0.0 1.2 58.8 576.1
1977 52.7 196.4 121.9 9.9 4.8 0.0 0.0 0.0 21.6 21.8 91.6 88.9 609.6
1978 224.0 51.4 74.1 41.5 0.0 0.0 7.7 6.7 4.3 4.8 85.4 84.8 584.7
1979 157.2 61.2 107.2 14.7 0.0 0.0 6.0 3.1 0.0 25.0 2.6 87.1 464.1
1980 43.9 56.6 149.6 0.1 0.0 0.0 0.0 1.3 31.3 47.7 11.1 46.2 387.8
1981 174.0 230.0 93.3 21.3 2.9 0.0 0.0 33.8 9.2 23.0 19.0 91.0 697.5
1982 215.6 58.1 127.7 34.3 6.3 1.4 2.2 0.0 46.3 85.3 70.0 28.3 675.5
1983 33.0 33.9 4.9 17.9 2.0 2.0 0.0 3.9 16.9 3.5 20.4 86.8 225.2
1984 357.8 287.5 161.5 0.0 0.0 1.3 0.0 0.0 0.0 108.7 143.8 68.8 1129.4
1985 153.3 272.7 94.0 78.0 13.7 19.0 0.0 11.1 27.5 8.2 86.7 156.5 920.7
1986 148.7 201.4 209.2 71.3 6.6 0.0 6.8 8.1 2.2 3.4 38.9 158.9 855.5
1987 197.3 22.7 23.2 10.7 0.0 5.3 24.1 0.0 8.2 48.5 50.1 19.7 409.8
1988 165.9 43.7 109.1 85.7 9.5 0.0 0.0 0.0 24.0 3.3 0.0 60.3 501.5
1989 135.2 148.3 173.2 33.1 12.1 5.0 5.3 9.2 7.5 3.4 14.5 21.5 568.3
1990 117.6 29.1 40.9 27.2 14.0 29.5 6.9 19.8 5.8 63.8 52.8 81.6 489.0
1991 85.8 68.4 138.4 32.7 0.5 0.2 5.1 2.1 13.9 32.8 11.2 37.6 428.7
1992 108.2 45.3 12.6 14.5 1.0 3.0 2.9 41.6 0.7 58.3 38.9 70.6 397.6
1993 113.6 74.8 146.5 43.1 9.2 0.9 0.0 41.4 18.3 69.7 65.0 96.4 678.9
1994 124.3 164.3 107.4 56.9 9.1 0.7 2.6 1.7 4.5 25.6 59.7 112.0 668.8
1995 89.6 94.6 100.2 13.5 5.0 1.4 0.0 1.2 12.9 14.8 35.2 89.9 458.3
1996 190.8 115.3 52.6 40.5 4.8 0.0 0.0 18.0 3.4 7.8 55.5 107.4 596.1
1997 201.8 177.4 84.1 29.3 1.8 0.0 0.0 41.8 57.8 24.2 81.3 81.2 780.7
1998 129.8 82.6 55.6 13.6 0.0 22.5 0.0 0.6 1.0 13.9 51.0 22.9 393.5
1999 120.9 213.4 243.2 67.4 4.6 1.2 0.0 0.0 7.9 57.4 7.5 89.0 812.5
2000 257.8 161.2 78.8 22.1 7.2 2.6 0.0 10.9 2.7 47.6 6.5 82.1 679.5
2001 316.8 199.9 153.9 29.4 3.7 0.2 3.9 15.0 1.4 32.2 20.6 36.8 813.8
2002 81.8 192.9 121.5 68.0 20.8 10.2 19.2 8.0 4.7 55.4 52.7 99.7 734.9
2003 125.0 138.9 131.4 6.1 8.0 0.0 3.8 13.4 14.6 11.8 9.0 96.9 558.9
2004 196.1 146.3 72.8 15.9 0.0 3.7 36.8 62.7 17.7 0.0 10.5 71.0 633.5
2005 92.5 172.2 51.8 30.4 0.0 0.0 0.0 0.0 36.4 28.5 45.3 180.0 637.1
2006 249.9 121.9 118.9 43.4 5.8 1.1 0.0 5.2 15.0 36.3 56.4 74.3 728.2
2007 67.3 65.0 118.9 19.2 4.5 0.5 0.0 0.1 30.6 11.6 24.4 85.0 427.1
Nº DATOS 48 48 48 48 48 48 48 48 48 48 48 48 48
PROM. 152.7 127.7 102.2 28.5 6.6 2.5 4.1 10.3 14.2 26.8 40.7 83.7 599.8
DESVEST 71.3 65.7 50.9 21.5 8.0 5.9 9.2 17.1 15.2 24.6 34.2 37.5 167.6
MAXIMA 357.8 287.5 243.2 85.7 36.3 29.5 46.3 74.7 64.1 108.7 143.8 180.0 1129.4
MINIMA 31.0 22.7 4.9 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19.7 225.2
SUBCUENCA CONDURIRI
PRECIPITACION AREAL MENSUAL (mm)
(RIO CONDURIRI)
TOTAL
ANUALAÑO
MESES
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC
1960 186.1 178.8 85.7 58.0 5.2 0.2 0.4 11.0 70.0 35.3 109.9 31.5 772.1
1961 171.1 184.5 116.7 53.4 34.6 10.6 0.0 13.4 26.1 32.9 71.0 192.0 906.3
1962 256.0 135.2 82.7 61.1 4.7 0.2 5.7 0.8 46.7 31.5 20.7 97.7 743.0
1963 215.0 171.3 93.7 36.9 2.4 0.2 0.3 2.4 31.2 37.3 54.4 118.7 763.8
1964 147.8 152.8 146.7 39.7 28.6 0.0 0.0 2.5 49.0 25.6 80.4 41.2 714.3
1965 79.7 81.0 54.4 31.4 2.9 1.8 3.6 6.6 28.2 30.5 42.0 173.0 535.1
1966 71.3 128.7 54.8 26.7 49.5 0.0 0.1 0.0 7.0 34.4 91.5 57.6 521.6
1967 87.7 149.5 233.8 30.9 15.7 0.0 20.4 18.9 44.2 43.2 2.9 141.1 788.3
1968 135.3 166.3 123.4 37.8 29.8 16.2 2.2 1.4 14.6 51.2 99.7 79.7 757.6
1969 176.0 112.6 85.8 38.2 0.2 0.1 3.5 3.1 19.5 14.1 36.5 75.7 565.3
1970 115.2 103.0 145.0 36.8 20.0 0.1 0.2 0.1 9.2 14.5 17.5 157.4 619.0
1971 148.1 252.3 55.6 24.8 1.8 1.6 0.0 5.8 0.1 15.6 55.1 120.5 681.3
1972 230.8 183.3 119.3 17.5 2.9 0.0 0.6 0.3 26.2 41.4 48.7 151.9 822.9
1973 207.0 133.2 143.2 56.6 15.7 0.0 12.9 11.8 48.4 14.7 27.8 76.4 747.7
1974 267.2 248.8 86.2 46.4 0.4 1.5 0.0 59.8 17.7 12.8 16.2 75.3 832.3
1975 155.4 236.8 115.7 21.9 29.7 3.6 0.1 8.3 25.9 54.4 36.8 231.7 920.3
1976 325.0 178.1 193.0 35.0 14.6 0.3 19.5 29.3 52.6 11.2 3.8 82.7 945.1
1977 72.5 184.9 172.2 8.5 4.8 0.0 1.0 0.7 22.8 47.4 86.6 119.6 721.0
1978 202.4 133.0 97.4 38.8 0.0 0.0 14.1 2.8 14.5 10.5 132.5 104.9 750.9
1979 181.4 94.9 116.0 24.4 0.5 0.8 7.2 3.2 4.6 37.0 42.3 62.7 575.0
1980 88.0 55.7 225.5 10.0 0.3 0.0 6.1 14.4 43.3 83.7 39.2 29.1 595.3
1981 232.0 250.5 130.8 49.7 2.5 0.1 1.3 27.9 26.9 20.7 26.4 141.1 909.9
1982 166.6 88.4 95.4 32.0 1.7 0.6 0.3 3.4 38.0 72.7 83.5 24.9 607.5
1983 88.6 66.2 26.0 14.6 4.6 1.8 0.1 4.0 19.5 14.1 19.1 81.6 340.2
1984 323.2 249.6 201.2 32.7 16.3 24.1 0.4 16.9 1.3 73.3 133.0 109.8 1181.8
1985 145.9 223.7 113.8 119.0 28.5 21.0 0.2 4.3 44.3 15.0 147.7 191.1 1054.5
1986 145.4 259.1 224.2 102.2 7.6 0.1 1.3 9.8 12.3 6.4 38.4 142.4 949.2
1987 258.0 72.2 68.4 25.3 0.5 1.9 28.8 4.6 7.9 30.2 59.2 29.1 586.1
1988 196.4 47.6 179.9 116.9 10.8 1.7 0.5 0.0 13.2 37.3 14.5 94.2 713.0
1989 210.4 134.9 132.7 74.6 3.9 4.4 3.0 7.6 10.4 3.9 24.4 42.5 652.7
1990 133.4 37.2 71.2 16.6 14.8 53.9 0.3 15.8 9.4 98.0 115.6 120.6 686.8
1991 119.7 108.4 158.7 35.5 4.8 38.2 1.6 2.1 19.5 31.2 30.6 60.4 610.7
1992 119.6 94.1 53.2 36.1 0.1 3.4 11.6 35.2 0.5 54.6 47.8 87.7 543.9
1993 189.7 64.8 129.8 56.2 11.8 1.4 0.0 35.9 19.2 101.9 109.3 148.4 868.4
1994 184.3 179.2 133.0 99.7 15.5 1.2 1.3 0.2 6.0 15.0 69.0 137.1 841.5
1995 129.3 173.3 144.2 10.9 1.8 0.2 0.0 1.8 12.3 6.8 56.7 150.5 687.8
1996 255.5 133.0 86.0 51.4 14.1 0.0 2.7 40.0 10.4 5.9 90.2 98.8 788.0
1997 198.5 220.3 110.0 37.3 1.6 0.0 0.0 27.7 90.9 26.1 108.9 56.3 877.6
1998 101.8 102.5 81.1 31.4 0.0 10.2 0.0 0.4 0.9 24.6 45.7 29.0 427.6
1999 141.9 191.9 240.4 74.0 15.4 0.2 0.2 8.5 11.3 103.8 8.3 73.7 869.6
2000 245.7 216.0 124.5 17.1 4.8 2.3 1.3 11.7 6.6 69.4 7.2 125.5 832.1
2001 349.9 251.1 154.5 69.8 11.2 0.5 4.6 8.8 12.3 33.2 41.2 70.1 1007.2
2002 81.1 214.0 168.6 87.1 21.6 8.4 27.6 15.3 10.2 49.2 67.7 76.3 827.1
2003 156.5 118.0 131.6 25.1 15.3 0.4 0.4 7.5 25.2 9.0 21.0 119.3 629.3
2004 232.5 144.2 72.2 21.8 1.9 1.9 15.2 44.6 10.6 0.7 16.6 62.7 624.9
2005 112.4 239.9 80.3 37.8 1.3 0.0 0.0 0.0 22.2 40.7 44.1 125.5 704.2
2006 255.8 94.7 103.4 34.6 5.2 3.0 0.0 10.7 30.3 22.6 58.0 72.6 690.9
2007 100.6 97.6 163.5 43.4 4.9 0.2 0.5 0.3 41.3 46.9 59.5 100.8 659.5
Nº DATOS 48 48 48 48 48 48 48 48 48 48 48 48 48
PROM. 174.9 152.9 123.4 43.5 10.1 4.5 4.2 11.3 23.2 35.3 55.4 99.8 738.5
DESVEST 69.6 63.4 50.9 26.7 11.1 10.3 7.3 13.6 18.9 26.0 37.3 47.6 161.9
MAXIMA 349.9 259.1 240.4 119.0 49.5 53.9 28.8 59.8 90.9 103.8 147.7 231.7 1181.8
MINIMA 71.3 37.2 26.0 8.5 0.0 0.0 0.0 0.0 0.1 0.7 2.9 24.9 340.2
MESES
PRECIPITACION AREAL MENSUAL (mm)
TOTAL
ANUALAÑO
(RIO AGUAS CALIENTES)
SUBCUENCA AGUAS CALIENTES
4. Aplicación del método de Luzt Scholtz en una Cuenca.
A. MODELO HIDROLOGICO DE LUTZ SCHOLZ
El modelo se basa fundamentalmente en el balance hídrico y en parámetros parciales de tipo
determinístico. Este método permite combinar los factores que producen e influyen en los caudales,
tales como, la precipitación, evaporación, el almacenamiento y la función de agotamiento natural de
la cuenca, para el cálculo de las descargas en forma de un modelo matemático.
El método es completo es su determinación final, vale decir analiza los acuíferos, los pantanos, los
nevados, las lagunas, ríos, manantes, es decir todo el recurso hídrico que interviene en la cuenca,
además de manera sustancial de la precipitación efectiva que cae en la cuenca.
Para la determinación del balance hídrico en un año promedio, se debe tener en cuenta, el ciclo
hidrológico de la cuenca. Se establece para el desarrollo del presente modelo, que la sierra del Perú,
específicamente la sierra altiplánica cuenta con dos épocas: época de avenidas o de lluvias y época
de estiaje o de sequía; por lo que los componentes del balance hídrico a nivel mensual serán
diferentes para cada una de las épocas mencionadas, mostrándose el mismo en la ecuación de
balance hídrico.
B. Precipitación efectiva
Desde el punto de vista hidrológico, es aquella precipitación que genera el escurrimiento superficial
de las aguas de lluvia a través de cuencas naturales llamados ríos
5
5
4
4
3
3
2
210 PaPaPaPaPaaPE (1)
Donde:
PE = precipitación efectiva mensual (mm/mes).
P = precipitación total mensual (mm/mes).
ia = coeficiente del polinomio.
0a 0
Tabla A: Coeficientes para el cálculo de la precipitación efectiva
ai CURVA I CURVA II CURVA III
a0 (-0.018) (-0.021) (-0.028)
a1 -0.01850 0.1358 0.2756
a2 0.001105 -0.002296 -0.004103
a3 -1204 E-8 4349 E-8 5534 E-8
a4 144 E-9 -89.0 E-9 124 E-9
a5 -285 E-12 -879 E-13 -142 E-11
Fuente: Generación de caudales mensuales en la sierra peruana – Programa nacional de pequeñas
y medianas irrigaciones – Plan Meris II, Marzo 1980.
C. Calibración del Modelo en la cuenca del río Ilave
El modelamiento y calibración del modelo hidrológico de Lutz Scholz desarrollado para el río Ilave, debido a que este río dispone de información hidrométrica histórica, ello permite realizar la
calibración de los parámetros del modelo, tales como: Coeficiente de gasto ib , coeficiente de
abastecimiento ia , coeficiente de agotamiento a , retención anual de la cuenca R y los
coeficientes de la precipitación efectiva C1 y C2, respectivamente.
La información utilizada para el modelamiento y calibración del modelo de Lutz Scholz, es la siguiente:
- Caudales promedios multimensuales y anuales del río Ilave. - Precipitación areal de la cuenca del río Ilave. - Área de la cuenca del río Ilave (7,832.53 Km2).
Utilizando la información disponible y empleando la metodología descrita anteriormente, se realizó el modelamiento hidrológico, llegando a calibrarse los parámetros del modelo, tal como se muestra a continuación.
Cuadro N° 01: Modelo de calibración
0
AREA= 7833 Km2
C= 0.16865 p.e. Relacion entre columnas (13) / (2)
C1= 0.72577
C2= 0.27423
R= 74.4677 Retencion de cuenca en mm/año
ESCORRENTIA ESCORRENTIA
TOTAL P PE-I PE-II PE bi Gi ai Ai GENERADOS GENERADOS AFORADOS DE AFOROS
Días Acum mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes m3/seg m3/seg mm/mes
2 3 4 5 6 7 8 9 10 11 12 13
AGO 31 185 9.6 0.0 1.1 0.4 0.023 1.5 0.00 0.00 1.88 5.5 7.6 2.6
SET 30 215 16.4 0.0 1.8 0.6 0.013 0.8 0.00 0.00 1.42 4.3 7.1 2.3
OCT 31 246 28.6 0.2 2.9 1.4 0.007 0.4 0.00 0.00 1.82 5.3 6.5 2.2
NOV 30 45.1 0.8 5.0 3.7 0.000 0.0 0.01 0.67 3.07 9.3 9.1 3.0
DIC 31 84.4 5.1 16.3 11.9 0.000 0.0 0.09 6.33 5.57 16.3 16.3 5.6
ENE 31 157.9 38.8 71.4 60.6 0.000 0.0 0.43 32.32 28.30 82.8 82.6 28.2
FEB 28 133.4 22.2 48.6 43.0 0.000 0.0 0.01 0.74 42.30 137.0 134.6 41.6
MAR 31 31 106.7 10.7 28.4 22.4 0.533 34.6 0.28 20.85 36.17 105.8 105.1 35.9
ABR 30 61 33.4 0.3 3.5 1.6 0.290 18.8 0.10 7.45 13.02 39.3 39.4 13.0
MAY 31 92 7.6 0.0 0.9 0.2 0.155 10.0 0.07 4.84 5.44 15.9 14.8 5.1
JUN 31 123 3.5 0.0 0.4 0.1 0.083 5.4 0.02 1.12 4.36 12.7 10.3 3.5
JUL 31 154 3.3 0.0 0.4 0.1 0.044 2.9 0.00 0.00 2.96 8.6 8.9 3.0
7 629.9 78.1 180.8 146.2 1.148 74.5 1.00 74.3 146.3 36.9 36.9 146.2
ABASTECIMIENTO
1
CALIBRACION DEL MODELO
MODELO DETERMINISTICO LUTZ SCHOLZ
CUENCA ILAVE
MES
PRECIPITACION MENSUAL CONTRIBUCION DE LA RETENCION CAUDALES
MENSUALESEFECTIVA GASTO
Columna (1):
Temporada seca y dias acumulados
Columna (6):
bi=EXP(-a*t)
a=-0.00252*Ln(AR)+w = 0.02028
w= 0.043 ( Para nuestro caso)
Cuadro N° 02: Regresión Triple
REGRESION TRIPLEQ gen (i) Q gen (i-1) PE (i) PE (i-1)
(mm/mes) (mm/mes) (mm/mes) (mm/mes)
n x1 x2 x3 x4 x11 x12 x13 x22 x23 x33
1 0.434 1.511 1.109 0.404 0.188 0.656 0.481 2.283 1.676 1.229
2 -0.023 0.434 1.774 1.109 0.001 -0.010 -0.042 0.188 0.770 3.147
3 0.378 -0.023 2.941 1.774 0.143 -0.009 1.110 0.001 -0.069 8.650
4 1.620 0.378 5.038 2.941 2.625 0.612 8.164 0.143 1.902 25.385
5 4.127 1.620 16.339 5.038 17.031 6.687 67.430 2.625 26.474 266.978
6 26.852 4.127 71.437 16.339 721.032 110.813 1918.235 17.031 294.808 5103.276
7 40.857 26.852 48.580 71.437 1669.335 1097.107 1984.864 721.032 1304.476 2360.033
8 34.724 40.857 28.408 48.580 1205.745 1418.729 986.433 1669.335 1160.678 807.011
9 11.575 34.724 3.459 28.408 133.970 401.912 40.041 1205.745 120.124 11.967
10 3.995 11.575 0.897 3.459 15.959 46.239 3.584 133.970 10.385 0.805
11 2.913 3.995 0.428 0.897 8.484 11.636 1.247 15.959 1.710 0.183
12 1.511 2.913 0.404 0.428 2.283 4.401 0.610 8.484 1.176 0.163
Suma 128.962 128.962 180.815 3776.795 3098.773 5012.158 3776.795 2924.111 8588.828
Promedio 10.747 10.747 15.068
x1 = 10.74682908
x2 = 10.74682908
x3 = 15.06793688
s11 = 2390.863049
s12 = 1712.841138
s13 = 3068.967022
s22 = 2390.863049
s23 = 980.9200524
s33 = 5864.315294
Sin Modificar Qbase (b1) Modificando Qbase (b1)=
4.3 m3/s
b2 = 0.538667624 b2 = 0.201459212
b3 = 0.433226561 b3 = 0.309184251
b1 = -1.569970284 (flujo base) b1 = 1.446704960 mm/mes
r = 0.97057053 r = 0.99017972
s = 3.925032964 s = 2.416798465
Nota: Hacer la regresión con b1=Qbase, y con intersección igual a cero.
Asumir los Parametros para la Generación de Caudales
b1 = 1.446704960 (flujo base)
b2 = 0.201459212
b3 = 0.309184251
b4= 0.302347570
r = 0.990179720
Resumen
Estadísticas de la regresión
Coeficiente de correlación múltiple0.99017972
Coeficiente de determinación R 2̂0.980455878
R 2̂ ajustado 0.973126833
Error típico 2.416798465
Observaciones 12
ANÁLISIS DE VARIANZA
Grados de libertadSuma de cuadradosPromedio de los cuadradosF Valor crítico de F
Regresión 3 2344.13573 781.378577 133.776746 3.5624E-07
Residuos 8 46.72731858 5.84091482
Total 11 2390.863049
Coeficientes Error típico Estadístico t Probabilidad Inferior 95% Superior 95% Inferior 95.0% Superior 95.0% Superior 95.0%
Intercepción -0.632741517 0.972729923 -0.65048016 0.5336137 -2.875860739 1.610377706 -2.875860739 1.610377706 #N/A
Variable X 1 0.201459212 0.099237486 2.0300717 0.07684869 -0.027382841 0.430301265 -0.027382841 0.430301265 0.747642546
Variable X 2 0.309184251 0.045244343 6.83365546 0.00013318 0.204850609 0.413517892 0.204850609 0.413517892 0.565080347
Variable X 3 0.30234757 0.07621292 3.96714326 0.00413544 0.126600262 0.478094878 0.126600262 0.478094878
Cuadro N° 03: Caudales Mensuales generados
31 30 31 30 31 31 28 31 30 31 31 31
AGO SET OCT NOV DIC ENE FEB MAR ABR MAY JUN JUL PROM
1960 1961 5.65 8.28 9.13 17.46 18.91 79.78 127.94 57.67 22.68 9.89 3.82 4.65 30.49
1961 1962 5.78 7.65 8.27 7.22 28.37 84.64 141.73 103.80 46.63 18.11 8.04 5.34 38.80
1962 1963 5.78 9.30 8.13 9.48 18.02 94.43 131.96 58.09 30.39 12.89 7.60 6.00 32.67
1963 1964 5.40 7.69 9.20 12.94 18.78 97.62 150.66 70.42 26.00 9.94 6.65 5.22 35.04
1964 1965 5.46 5.71 5.93 8.82 10.27 18.63 46.99 57.61 38.63 13.69 8.14 6.58 18.87
1965 1966 2.80 3.95 4.38 6.13 30.29 41.46 31.30 16.61 11.46 6.27 4.83 6.03 13.79
1966 1967 5.85 4.77 6.29 12.82 14.66 13.27 25.18 25.80 14.11 9.01 8.23 6.64 12.22
1967 1968 5.37 7.46 6.74 8.70 20.61 30.79 38.91 84.58 77.74 20.97 8.11 7.18 26.43
1968 1969 5.72 5.77 8.40 23.60 28.60 39.91 74.30 66.58 36.74 14.54 9.46 8.12 26.81
1969 1970 7.43 6.41 5.37 7.19 12.87 57.40 74.18 27.50 12.47 7.96 4.04 5.36 19.02
1970 1971 4.46 5.84 4.83 5.27 31.38 53.38 53.23 48.43 38.83 14.21 8.36 7.43 22.97
1971 1972 5.83 6.20 4.15 7.12 24.16 60.82 171.97 142.13 38.22 13.61 8.06 3.90 40.51
1972 1973 6.66 6.26 7.80 8.46 26.06 134.47 194.49 102.19 51.09 15.28 6.08 4.92 46.98
1973 1974 4.99 6.15 6.26 6.99 8.68 100.71 151.62 74.00 41.98 16.61 6.64 6.19 35.90
1974 1975 8.96 10.90 7.21 7.63 9.47 168.51 336.72 176.89 46.42 13.18 8.91 5.52 66.69
1975 1976 7.41 5.73 6.18 8.03 59.12 108.41 159.57 128.44 48.32 13.99 9.37 6.42 46.75
1976 1977 4.55 7.46 6.32 6.84 8.05 157.05 231.74 98.44 51.12 14.96 6.06 5.89 49.87
1977 1978 6.63 6.96 7.34 12.44 24.16 23.36 95.47 126.65 60.93 15.86 8.48 4.55 32.74
1978 1979 4.96 8.24 6.51 19.92 30.47 110.84 136.56 43.52 20.67 10.72 6.34 7.27 33.84
1979 1980 4.99 6.30 6.83 8.13 11.06 57.64 71.08 35.93 28.26 10.23 5.43 8.22 21.17
1980 1981 6.81 6.69 8.12 9.96 7.15 12.57 14.61 75.03 87.71 21.49 9.66 5.17 22.08
1981 1982 5.58 5.99 6.01 7.70 23.24 86.61 230.44 180.44 57.89 15.81 7.93 6.28 52.83
1982 1983 5.62 5.99 10.71 14.03 10.26 65.87 87.85 35.37 23.67 7.38 6.09 4.89 23.14
1983 1984 4.85 5.74 4.75 5.21 11.70 15.64 14.66 9.99 6.68 7.28 5.16 5.98 8.14
1984 1985 4.65 6.02 9.65 35.96 42.66 195.76 381.49 262.72 120.13 29.10 10.39 6.65 92.10
1985 1986 6.43 8.36 6.90 26.68 69.22 89.84 166.58 142.78 54.13 22.04 9.20 7.40 50.80
1986 1987 6.07 6.73 5.42 6.47 38.00 76.17 201.35 250.52 147.66 38.41 12.05 7.04 66.32
1987 1988 8.07 6.27 8.52 8.35 11.51 107.19 141.44 34.49 15.77 7.25 7.18 6.75 30.23
1988 1989 4.47 5.98 5.24 5.04 8.80 55.05 68.47 42.70 45.92 20.57 9.21 6.14 23.13
1989 1990 4.97 5.91 5.67 5.65 6.32 58.13 101.56 77.32 54.70 18.24 8.68 5.96 29.43
1990 1991 6.21 6.27 11.05 17.56 22.66 35.01 33.73 15.99 13.22 8.25 8.16 7.23 15.45
1991 1992 6.29 6.76 6.82 4.90 8.25 23.10 34.76 59.43 56.88 16.93 8.60 5.32 19.84
1992 1993 5.59 8.36 5.69 8.58 12.76 32.55 36.93 15.62 8.60 7.96 5.82 5.45 12.83
1993 1994 6.44 7.17 11.74 18.91 39.43 94.30 92.26 45.89 37.57 13.85 6.23 6.50 31.69
1994 1995 4.69 5.42 7.41 10.78 28.28 75.91 128.68 91.46 42.19 15.95 6.94 5.28 35.25
1995 1996 4.79 4.68 4.24 8.80 22.51 36.72 50.83 51.69 35.83 10.91 6.67 6.13 20.32
1996 1997 6.55 6.70 6.15 9.73 20.54 110.52 150.12 53.20 20.17 8.36 5.05 3.86 33.41
1997 1998 4.38 9.89 11.31 16.18 18.55 91.70 194.82 122.65 37.51 13.40 6.66 4.76 44.32
1998 1999 6.25 5.21 5.34 7.16 7.76 27.35 45.01 24.75 14.81 8.09 5.21 5.39 13.53
1999 2000 4.19 4.30 9.54 10.80 10.22 31.90 117.31 199.04 150.68 36.29 13.06 6.93 49.52
2000 2001 5.97 5.26 8.29 7.92 16.26 140.94 225.39 109.67 43.09 12.34 7.56 4.71 48.95
2001 2002 5.95 7.42 7.68 9.72 7.85 185.34 346.68 189.16 75.20 20.88 8.20 5.83 72.49
2002 2003 5.75 5.66 7.18 10.48 16.39 17.34 88.67 118.25 65.05 22.47 10.97 7.10 31.27
2003 2004 7.16 6.02 7.92 7.53 14.14 39.58 56.29 46.42 32.75 10.92 5.18 6.18 20.01
2004 2005 5.49 7.28 6.18 6.46 9.18 87.55 131.97 54.82 20.69 9.55 6.64 5.51 29.28
2005 2006 5.23 4.59 5.62 9.23 33.34 52.78 124.29 115.28 31.54 13.50 6.47 5.07 33.91
2006 2007 6.40 7.79 7.10 9.35 14.37 140.89 186.77 63.15 31.64 12.85 7.37 8.28 41.33
2007 2008 6.64 7.95 8.03 8.96 13.93 25.38 28.39 41.82 38.91 13.40 7.80 7.02 17.35
5.75 6.61 7.16 10.69 20.40 73.85 123.48 84.89 44.03 14.70 7.52 6.05 33.76
1.08 1.38 1.83 5.99 13.19 47.16 86.04 60.05 30.99 6.79 1.85 1.04 17.14
8.96 10.90 11.74 35.96 69.22 195.76 381.49 262.72 150.68 38.41 13.06 8.28 92.10
2.80 3.95 4.15 4.90 6.32 12.57 14.61 9.99 6.68 6.27 3.82 3.86 8.14
7.63 7.07 6.46 9.11 16.26 82.61 134.63 105.11 39.37 14.83 10.33 8.87 36.8567
MAX
MIN
CAUDALES MENSUALES GENERADOS, en m3/s
CUENCA ILAVE
MODELO ESTOCASTICO
Año
PROM
STD
5. Modelo AR(P).
Aplicar el modelo AR(P) a los caudales promedios mensuales de la estación hidrométrica
del Cuenca Ilave.
1) Formas de configurar una serie en “R”. La función ts
Se procede al grafico de tiempo de series.
2) Representación gráfica:
3) Análisis descriptivo elemental: tendencia, estacional, residual
- Aditivo : X = T + S + e
- Multiplicativo : X = T* S + e
4) Cómo calcular la tendencia.
Para calcular la tendencia con “decompose”:
5) Para calcular y representar la función de autocorrelaciones:
Función autocorrelacion
Función de autocorrelacio parcial.
6) Generación de modelo AR(p) a partir de caudal.
RESUMEN DE PROGRAMACION R.
caudal <- scan("C:/TRABAJO/ILAVE.dat",skip=1) Qilave <- ts(caudal, start = 1964, frequency = 12) Qilave plot.ts(Qilave, type = "l", col = "red") plot(decompose(Qilave)) plot(decompose(Qilave, type = "multiplicative")) stl(Qilave) plot(stl(Qilave,t.window=24, s.window="per")) TendenciaIlave<-decompose(Qilave)$trend plot(TendenciaIlave) acf(Qilave, lag.max=20) acf(Qilave, lag.max=20, plot=FALSE) pacf(Qilave, lag.max=20) pacf(Qilave, lag.max=20, plot=FALSE) caudalarima <- arima(Qilave, order=c(1,0,0)) # fit an ARIMA(1,0,0) model caudalarima library("forecast") # load the "forecast" R library caudalseriesforecasts <- forecast.Arima(caudalarima, h=36, level = c(99.5)) caudalseriesforecasts plot.forecast(caudalseriesforecasts) caudalarima <- arima(Qilave, order=c(2,0,0)) # fit an ARIMA(2,0,0) model caudalarima library("forecast") # load the "forecast" R library caudalseriesforecasts <- forecast.Arima(caudalarima, h=36, level = c(99.5)) caudalseriesforecasts plot.forecast(caudalseriesforecasts) caudalarima <- arima(Qilave, order=c(3,0,0)) # fit an ARIMA(3,0,0) model caudalarima library("forecast") # load the "forecast" R library caudalseriesforecasts <- forecast.Arima(caudalarima, h=36, level = c(99.5)) caudalseriesforecasts
plot.forecast(caudalseriesforecasts) caudalarima <- arima(Qilave, order=c(4,0,0)) # fit an ARIMA(4,0,0) model caudalarima library("forecast") # load the "forecast" R library caudalseriesforecasts <- forecast.Arima(caudalarima, h=36, level = c(99.5)) caudalseriesforecasts plot.forecast(caudalseriesforecasts) caudalarima <- arima(Qilave, order=c(5,0,0)) # fit an ARIMA(5,0,0) model caudalarima library("forecast") # load the "forecast" R library caudalseriesforecasts <- forecast.Arima(caudalarima, h=36, level = c(99.5)) caudalseriesforecasts plot.forecast(caudalseriesforecasts) caudalarima <- arima(Qilave, order=c(6,0,0)) # fit an ARIMA(6,0,0) model caudalarima library("forecast") # load the "forecast" R library caudalseriesforecasts <- forecast.Arima(caudalarima, h=36, level = c(99.5)) caudalseriesforecasts plot.forecast(caudalseriesforecasts) caudalseriesforecasts$fitted plot(caudalseriesforecasts) caudalseriesforecasts$SSE plot(caudalseriesforecasts) HoltWinters(Qilave, beta=FALSE, gamma=FALSE) library("forecast") caudalseriesforecasts2 <- forecast.HoltWinters(caudalseriesforecasts, h=36) caudalseriesforecasts2 plot.forecast(caudalseriesforecasts2, col = "red") acf(caudalseriesforecasts2$residuals, lag.max = 20) acf(caudalseriesforecasts2$residuals, lag.max=20, plot = FALSE) Pacf(caudalseriesforecasts2$residuals, lag.max = 20) Pacf(caudalseriesforecasts2$residuals, lag.max=20, plot = FALSE) Box.test(caudalseriesforecasts2$residuals, lag=20, type="Ljung-Box") plot.ts(caudalseriesforecasts2$residuals) plotForecastErrors <- function(forecasterrors) { # make a histogram of the forecast errors: mybinsize <- IQR(forecasterrors)/4 mysd <- sd(forecasterrors) mymin <- min(forecasterrors) - mysd*5 mymax <- max(forecasterrors) + mysd*3 # generate normally distributed data with mean 0 and standard deviation mysd mynorm <- rnorm(10000, mean=0, sd=mysd) mymin2 <- min(mynorm) mymax2 <- max(mynorm) if (mymin2 < mymin) { mymin <- mymin2 } if (mymax2 > mymax) { mymax <- mymax2 } # make a red histogram of the forecast errors, with the normally distributed data overlaid: mybins <- seq(mymin, mymax, mybinsize) hist(forecasterrors, col="red", freq=FALSE, breaks=mybins) # freq=FALSE ensures the area under the histogram = 1 # generate normally distributed data with mean 0 and standard deviation mysd myhist <- hist(mynorm, plot=FALSE, breaks=mybins) # plot the normal curve as a blue line on top of the histogram of forecast errors:
points(myhist$mids, myhist$density, type="l", col="blue", lwd=2)} plotForecastErrors(caudalseriesforecasts2$residuals) caudaldiff1<-diff(Qilave, differences = 1) plot.ts(caudaldiff1) caudaldiff2<-diff(Qilave, differences = 2) plot.ts(caudaldiff2) acf(caudaldiff1,lag.max = 20) acf(caudaldiff1, lag.max = 20, plot = FALSE) pacf(caudaldiff1, lag.max=20) # plot a partial correlogram pacf(caudaldiff1, lag.max=20, plot=FALSE) # get the partial autocorrelation values
6. Modelo WEAP
WEAP es una herramienta de modelación para la planificación y distribución de agua que puede
ser aplicada a diferentes escalas, desde pequeñas zonas de captación hasta extensas cuencas.
APLICACIONES DE WEAP
Apoya la planificación de recursos hídricos balanceando la oferta de agua (generada a través
de módulos físicos de tipo hidrológico a escala de subcuenca) con la demanda de agua
(caracterizada por un sistema de distribución de variabilidad espacial y temporal con diferencias
en las prioridades de demanda y oferta). WEAP emplea una paleta de diferentes objetos y
procedimientos accesibles a través de una interfaz gráfica que puede ser usada para analizar
un amplio rango de temas e incertidumbres a las que se ven enfrentados los planificadores de
recursos hídricos, incluyendo aquellos relacionados con el clima, condiciones de la cuenca,
proyecciones de demanda, condiciones regulatorias, objetivos de operación e infraestructura
disponible.
Procedimiento del Modelo:
Etapa I: Creación del Área.
Se realizó el Ingreso de base de datos como: área de la cuenca en estudio, ríos, los puntos de
infiltración, altitud, punto de salida.
Diagrama de caudales medio mensuales en el punto de salida de la cuenca de los años 1972 al
2007.
Ingreso de datos de las características de la cuenca, uso de suelos, área, capacidad de agua en el
suelo, capacidad de infiltración.
Ingreso de datos climatológicos precipitación, temperatura, humedad relativa, acumulación de
nieve, punto de fusión, fracción de nubosidad, punto de congelación y viento
Se visualiza en el siguiente grafico el diagrama de precipitaciones mensuales acumulativas.
Variación de temperatura en el ámbito de la cuenca
Curva de duración de los Caudales medios mensuales, seleccionados. La siguiente figura ilustra
ajuste de un modelo calibrado.
Caudales anuales en periodo de calibración de la cuenca.
7. Conclusiones:
7.1. El análisis de consistencia se ha realizado por los métodos de Análisis Visual de
hidrogramas, Análisis de doble masa, para lo cual se han utilizado 08 estaciones de la cuenca
alta del Río Ramis, llegando a la siguiente conclusión:
Análisis visual, se ha observado que las estaciones observadas no presentan estacionarios
significativos excepto en la estación Ayaviri.
Análisis de doble masa, en las estación Ayaviri y La Raya, se presentó un quiebre
significativo en el año 1985 y 1973 respectivamente, en los demás estaciones no se ha
presentado quiebres significativos, llegando la estación Progreso como estación base por
no presentar quiebres.
7.2. El análisis de precipitaciones máximas tiene por objeto de obtener en el lugar X, es
probable que se presente una precipitación de intensidad máxima de 44.28 mm/hr para un
periodo de duración de 45 min en un periodo de retorno de 100 años, las cuales se muestran
en el cuadro N° 04 de Cálculo de precipitaciones de máxima intensidad, para diferentes tiempos
de retorno y duraciones, para diferentes de periodos de retorno y duraciones.
7.3. Con la ecuación regionalizada para la estimación de caudales máximos de diseño para la
cuenca del río Ilave, se ha realizado el análisis de frecuencia de distribución en donde se ajusta
mejor es la distribución GUMBEL I, y la ecuación ajustada obtenida es la siguiente:
.
Con la ecuación obtenida se ha determinado los caudales máximos, para las sub cuencas
de la cuenca del río Ilave, cuyo resultado se aprecia en el cuadro siguiente:
ESTACION Area
(km2) Longitud
(km) Precipitacion areal (mm)
Qpmax (m3/s)
Aguas Calientes 3693.03 127.53 738.5 237
Conduriri 606.15 63 599.8 178
Ayupalca 369.21 55.82 569 159
Medio Alto Ilave 869.9 41.8 477 435
Llusta 525.25 38.14 484.1 326
Alto Ilave 727.13 51.3 441.3 435
Finalmente se ha obtenido los caudales para diferentes periodos de retorno.
5 10 20 50 100 200 500 1000 2000 5000 10000
237 331.8 402.9 474.0 568.8 639.9 711.0 805.8 876.9 948.0 1042.8 1113.9
178 249.2 302.6 356.0 427.2 480.6 534.0 605.2 658.6 712.0 783.2 836.6
159 222.6 270.3 318.0 381.6 429.3 477.0 540.6 588.3 636.0 699.6 747.3
435 609.0 739.5 870.0 1044.0 1174.5 1305.0 1479.0 1609.5 1740.0 1914.0 2044.5
326 456.4 554.2 652.0 782.4 880.2 978.0 1108.4 1206.2 1304.0 1434.4 1532.2
435 609.0 739.5 870.0 1044.0 1174.5 1305.0 1479.0 1609.5 1740.0 1914.0 2044.5
Qpmax
(m3/s)
CAUDALES DE DISEÑO PARA DIFERENTES PERIODOS DE RETORNO (M3/S)
Qpmax = 6.1 ∗ 107A0.57222712 L−0.37566399P−2.32228401
7.4 Con el modelo determinístico LUTZ SCHOLZ se ha generado los caudales para el cuenca
del Río Ilave, en donde se ha obtenido el coeficiente de escorrentía de 0.16865, retención de la
cuenca de 74.4677 mm/año y el coeficiente de abatimiento de 0.043, de los caudales generados
el máximo caudal se presenta en el mes de febrero de 137 m3/seg. y como el caudal mínimo
en el mes de octubre de 6.5 m3/seg.
7.5. en el presidente trabajo se ha considerado la estación del puente Ilave con caudales
históricos mensualizados desde 1964 hasta 2014, se ha procedido a generar su
correspondiente de análisis de series en forma gráfica, posteriormente se ha procedido a
analizar en forma descriptivo elemental de tendencia estacional y residual en forma aditivo y
multiplicativo, así mismo se procedió a calcular la tendencia por medio de comando
descompone así para representar la función de autocorrelaciones (función de autocorrelación y
función de autocorrelacion parcial), en base estos autocorrelaciones se procedió a generar el
modelo AR (p), llegando a los siguientes resultados:
Modelo AR (1) = 0.6131, intercepta en 35.444, con ruido blanco de 0.019 intercepta en
4.09.
Así mismo se procedió modelar AR (2 hasta 6)
Se adjunta todo el proceso de programación AR, en la página 67.
7.6. Los desafíos del manejo de agua dulce son cada vez más comunes a nivel mundial,
nacional y local pues la asignación de recursos hídricos limitados para uso agrícola, poblacional
y ambiental, en la actualidad, requiere la integración completa de la demanda, el suministro, la
calidad del agua y consideraciones ecológicas. El Sistema de Evaluación y Planificación del
Agua (WEAP), apunta a incorporar estos asuntos en un instrumento práctico y robusto para la
planificación integrada de los recursos hídricos.
8. Recomendaciones
a) Después de haber llevado el presente curso “Hidrología Estocástica” es motivo que los
maestrantes preparemos temas de Tesis de Postgrado relacionados a las siguientes
áreas: Hidrología Determinística y Estocástica; Hidráulica e Hidráulica Fluvial;
Amenazas y Riesgos Hidroclimatológicos, etc. a fin de contribuir mediante
investigaciones requeridos para la región.
b) Los Análisis de frecuencia de eventos extremos hidrológicos dentro de un contexto de
no estacionalidad y de presencia de fenómenos macroclimáticos en la región de Puno,
en obras de infraestructura los ingenieros diseñamos relacionadas a eventos extremos,
como crecientes, inundaciones, sequías, etc. Los caudales de diseño de estas obras se
deben de determinarse a partir de análisis de frecuencia de eventos extremos, como
las curvas de frecuencia de caudales máximos o las curvas Intensidad Duración-
Frecuencia.
c) Para analizar la factibilidad de grandes proyectos de desarrollo de los recursos hídricos
superficiales, usualmente proyectos de presas y embalses en la región de Puno, la
simulación estocástica del sistema es de principal importancia pues sus resultados
permiten identificar las mejores alternativas de dimensiones del proyecto y de políticas
de operación del sistema.
d) En los años de fenómenos del Niño, una buena parte del territorio nacional experimenta
una reducción de precipitación y por consiguiente incremento de caudal en la costa;
esto afecta notoriamente las actividades humanas (producción agrícola y pesquera,
generación de energía hidroeléctrica, etc.) y la salud pública (abastecimiento de agua
potable, incremento de enfermedades, etc.). Por lo tanto en esta universidad UNA-
Puno, los trabajos de investigación deben de correlacionarse con índices
macroclimáticos con precipitación y caudales, buscando ecuaciones que permitan
predecir los efectos del Niño y otros afines.
9. ANEXOS
CUENCA RAMIS 14º52'21.6" S REGION PUNO
RIO 70º35'34.4" W PROV MELGAR
TIPO CO 3928 MSNM DIST AYAVIRI
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964 38.2 98.5 50.5 0.0 0.0 94.5 15.5 23.5 51.5 51.0
1965 161.9 97.4 187.1 27.5 0.0 0.0 0.0 0.0 2.5 11.3 66.5 159.5 713.7
1966 65.0 87.0 74.0 2.5 16.5 0.0 0.0 0.0 2.0 62.5 65.0 86.0 460.5
1967 75.0 75.0 85.5 32.5 9.2 0.0 18.0 14.1 32.0 101.9 35.5 150.0 628.7
1968 139.7 171.5 105.5 6.5 0.0 0.0 10.5 5.0 24.8 21.3 100.9 58.8 644.5
1969 118.1 105.6 40.1 38.6 0.0 0.0 5.0 0.7 9.0 32.7 50.3 32.5 432.6
1970 128.7 72.7 100.4 61.2 26.6 0.0 0.0 0.0 35.8 40.0 20.3 142.4 628.1
1971 78.1 178.6 13.9 56.9 0.0 0.0 0.0 3.1 0.0 24.0 28.3 107.3 490.2
1972 165.3 108.5 82.4 34.2 1.2 0.0 3.0 8.6 17.3 22.7 36.8 130.8 610.8
1973 201.4 150.5 134.0 76.6 15.2 0.0 0.0 9.1 72.6 65.7 57.0 87.8 869.9
1974 178.6 263.5 67.0 42.6 7.3 7.0 0.0 43.9 5.4 34.2 43.5 95.9 788.9
1975 133.1 187.4 104.7 37.3 4.1 0.0 0.0 0.0 4.9 87.2 73.4 172.3 804.4
1976 124.4 103.2 54.3 31.1 1.8 0.0 0.0 0.0 20.4 2.7 0.0 33.1 371.0
1977 18.0 87.4 57.5 0.0 0.0 0.0 0.0 0.0 1.3 2.6 52.5 118.0 337.3
1978 226.1 192.8 75.2 0.0 0.0 0.0 0.0 27.0 23.9 145.8 153.2
1979 183.3 56.9 101.0 44.3
1980
1981 7.8 50.6
1982 141.6 23.3 163.0 93.9 0.0 0.0 0.0 39.5 35.0 117.7 220.5 57.1 891.6
1983 43.0 53.2 72.8 70.5 0.4 2.1 0.0 0.0 7.0 17.4 43.4 79.3 389.1
1984 248.1 160.3 152.1 21.0 16.6 3.4 0.0 18.8 0.0 539.5 811.3 179.2 2150.3
1985 721.9 150.2 190.1 158.1 8.2 40.5 0.0 0.0 24.3
1986 172.3 159.7 110.4 16.8 0.0 0.0 2.3 24.0 4.4 38.9 163.1
1987 180.2 70.1 58.1 41.3 4.7 4.8 20.4 3.3 2.0 30.5 72.8 76.7 564.9
1988 158.9 87.9 157.1 78.6 13.7 0.0 0.0 0.0 16.2 46.7 2.5 91.8 653.4
1989 158.5 75.7 99.0 56.2 3.7 2.9 0.1 31.6 22.8 47.6 37.0 76.6 611.7
1990 190.2 111.1 38.6 32.4 3.8 33.4 0.0 3.5 4.1 87.1 71.7 81.9 657.8
1991 163.5 95.9 109.8 27.6 29.6 35.8 0.6 2.9 13.6 51.1 33.2 85.4 649.0
1992 109.8 79.5 45.3 27.4 0.0 10.2 0.0 49.0 1.1 54.4 61.0 43.8 481.5
1993 206.6 68.0 120.0 26.6 0.3 10.8 0.3 23.7 50.8 84.1 175.0 78.8 845.0
1994 113.5 81.9 144.6 69.9 4.7 0.0 0.0 7.5 4.1 16.7 65.5 99.8 608.2
1995 96.3 98.4 132.5 44.9 0.5 0.0 0.0 0.0 5.1 15.1 70.5 104.1 567.4
1996 181.6 123.6 61.0 19.8 6.2 0.0 0.0 4.1 5.3 21.1 61.1 101.0 584.8
1997 139.0 194.9 174.0 8.4 1.4 0.0 0.0 14.7 135.8 107.4
1998 106.5 90.1 115.2 26.6 0.0 0.5 0.0 1.9 0.5 54.3 96.9 66.0 558.5
1999 92.8 156.3 129.7 111.6 7.0 0.0 0.0 0.0 22.6 43.2 31.5 54.9 649.6
2000 136.8 224.6 108.6 5.9 6.2 1.6 4.1 7.1 2.5 119.8 8.6 76.9 702.7
2001 228.1 111.2 99.9 39.0 22.7 2.9 1.3 10.8 11.3 34.8 21.4 100.8 684.2
2002 162.6 191.4 68.0 60.6 21.5 5.2 12.4 11.2 21.3 106.3 87.9 94.7 843.1
N' DATOS 35 37 37 36 36 36 36 36 35 35 35 35 31
MEDIA 159.3 118.8 102.2 45.1 8.3 4.5 2.1 11.6 15.5 60.0 85.0 97.1 673.3
DESV.STD 109.3 54.8 43.5 34.1 10.9 10.1 5.0 19.0 15.8 88.3 132.8 38.6 304.8
MIN 18.0 23.3 13.9 0.0 0.0 0.0 0.0 0.0 0.0 2.6 0.0 32.5 337.3
MAX 721.9 263.5 190.1 158.1 50.5 40.5 20.4 94.5 72.6 539.5 811.3 179.2 2150.3
MEDIANA 141.6 103.2 100.4 38.0 4.4 0.0 0.0 3.8 11.3 40.0 57.0 91.8 628.7
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012103AYAVIRI
LATITUD
CUENCA RAMIS 14º47'05.2" S REGION PUNO
RIO 70º42'56.5.3" W PROV MELGAR
TIPO CP 3971 MSNM DIST UMACHIRI
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964 98.4 78.7 169.0 70.4 19.5 0.0 0.0 0.0 30.5 58.0 139.1 124.8 788.4
1965 235.9 132.1 195.6 46.7 0.0 0.0 0.2 1.0 14.1 30.4 66.6 186.8 909.4
1966 90.1 109.5 99.6 13.5 29.4 0.0 0.0 0.0 25.5 62.5 75.5 96.8 602.4
1967 65.9 165.9 142.8 22.1 10.2 0.0 22.2 4.4 17.4 102.5 25.2 235.5 814.1
1968 147.8 233.2 134.2 43.9 0.0 0.0 11.0 8.2 20.4 37.3 118.7 83.3 838.0
1969 111.2 125.5 76.2 47.3 0.0 0.0 2.9 2.0 7.1 50.6 33.7 62.8 519.3
1970 185.7 97.4 101.5 66.7 16.5 0.5 0.0 0.0 42.0 55.8 24.9 194.9 785.9
1971 86.5 169.7 57.6 46.3 1.0 0.0 0.0 3.5 0.0 23.1 68.5 102.9 559.1
1972 199.1 126.3 115.9 26.5 2.3 0.0 4.3 2.6 2.5 12.8 21.9 131.2 645.4
1973 115.1 84.8 157.8 110.4 7.7 0.0 1.5 9.2 37.7 38.1 84.0 55.3 701.6
1974 167.2 102.3 128.5 47.9 0.0 4.2 0.0 25.4 18.8 28.5 43.3 61.1 627.2
1975 225.3 101.9 105.9 37.3 22.0 0.0 0.0 0.0 34.2 59.6 43.6 131.4 761.2
1976 208.8 88.9 154.9 27.4 15.4 1.5 0.8 2.8 33.8 1.9 26.0 43.3 605.5
1977 95.7 138.3 140.1 31.7 4.0 0.0 2.0 0.0 38.0 54.6 106.5 82.5 693.4
1978 295.2 127.7 67.0 64.0 0.9 0.6 0.0 0.0 24.7 19.9 101.9 122.3 824.2
1979 150.9 56.6 78.7 54.2 1.4 0.0 0.0 4.4 4.7 29.1 34.6 122.4 537.0
1980 109.0 103.7 149.2 11.8 11.2 0.0 1.3 2.4 4.8 87.2 64.2 105.8 650.6
1981 174.3 176.0 144.8 77.0 7.6 3.1 0.0 11.6 31.0 77.4 41.5 106.8 851.1
1982 148.3 91.7 101.1 82.2 0.0 0.0 0.0 0.0 27.0 95.0 154.2 67.9 767.4
1983 51.4 51.1 60.6 47.6 2.4 0.0 0.0 0.0 15.5 21.3 24.5 88.3 362.7
1984 216.3 175.4 139.9 30.5 20.9 0.0 1.3 0.7 2.7 120.6 124.1 180.1 1012.5
1985 114.0 123.5 90.5 34.6 14.7 25.9 0.0 0.5 65.7 24.6 140.8 106.9 741.7
1986 99.4 114.8 129.9 90.5 12.9 0.0 1.0 4.1 35.5 2.7 60.1 146.8 697.7
1987 111.2 75.1 72.5 32.0 1.1 1.4 7.3 0.9 3.2 9.3 96.6 79.8 490.4
1988 201.8 72.6 153.4 71.3 16.9 0.0 0.0 0.0 11.6 26.7 4.9 94.5 653.7
1989 78.6 84.7 113.9 86.8 3.8 0.7 0.7 40.1 30.9 59.8 55.9 95.5 651.4
1990 137.5 82.4 149.6 68.3 8.8 48.1 0.0 0.2 9.8 136.1 70.4 74.4 785.6
1991 191.4 61.4 118.0 30.1 28.0 39.1 0.0 0.0 1.0 48.3 29.8 94.5 641.6
1992 109.8 71.1 84.3 35.4 0.0 2.4 0.0 42.0 0.0 57.5 99.4 90.4 592.3
1993 183.4 29.0 182.9 46.9 0.0 16.0 0.0 28.6 9.3 94.1 162.0 98.1 850.3
1994 209.4 133.1 139.6 61.3 0.0 0.0 0.0 5.8 6.1 43.0 76.3 120.6 795.2
1995 119.7 102.8 124.8 15.8 2.1 0.0 0.0 0.0 2.5 27.0 56.7 123.8 575.2
1996 162.2 112.0 97.8 61.9 1.4 0.0 3.4 5.0 6.6 11.8 57.1 98.5 617.7
1997 205.1 204.3 192.7 63.3 4.0 0.0 0.0 16.5 31.0 35.4 111.6 121.7 985.6
1998 128.7 131.5 151.4 22.5 0.0 2.0 0.0 2.0 8.8 72.6 107.3 50.9 677.7
1999 114.1 162.6 139.9 146.8 9.8 0.0 1.4 1.7 20.3 58.1 28.0 94.1 776.8
2000 183.4 180.6 120.7 14.4 17.3 6.5 7.0 5.3 6.9 94.1 17.4 139.1 792.7
2001 238.6 127.3 126.9 25.1 19.3 1.2 4.7 7.5 10.8 40.4 18.2 69.9 689.9
2002 156.8 175.5 117.6 92.6 29.2 2.0 13.5 13.6 22.0 94.2 102.5 128.0 947.5
N' DATOS 39 39 39 39 39 39 39 39 39 39 39 39 39
MEDIA 151.9 117.5 123.8 51.4 8.8 4.0 2.2 6.5 18.3 51.3 69.7 108.0 713.3
DESV.STD 54.8 44.3 34.6 28.8 9.1 10.4 4.5 10.4 14.7 32.6 41.7 40.2 137.3
MIN 51.4 29.0 57.6 11.8 0.0 0.0 0.0 0.0 0.0 1.9 4.9 43.3 362.7
MAX 295.2 233.2 195.6 146.8 29.4 48.1 22.2 42.0 65.7 136.1 162.0 235.5 1012.5
MEDIANA 148.3 112.0 126.9 46.9 4.0 0.0 0.0 2.4 15.5 48.3 64.2 98.5 697.7
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012105CHUQUIBAMBILLA
LATITUD
CUENCA VILCANOTA 14º30'00" S REGION CUSCO
RIO 71º00'00" W PROV CANAS
TIPO CO 4150 MSNM DIST LAYO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974 181.1 204.0 165.7 69.4 8.5 7.6 0.6 36.2 8.4 38.0 87.0 132.0 938.5
1975 110.3 146.7 166.0 58.2 15.9 0.0 0.0 1.2 37.8 54.7 67.1 146.2 804.1
1976 181.8 117.4 187.3 32.7 13.8 12.0 9.5 15.4 39.1 9.5 34.6 74.7 727.8
1977 112.4 243.1 129.8 24.7 16.0 0.0 5.0 0.0 33.1 37.5 215.2 117.5 934.3
1978 375.9 276.9 131.6 71.0 20.1 0.0 0.0 12.2 48.0 25.5 63.5 191.0 1215.7
1979 206.7 131.1 179.4 94.8 133.0 0.0 0.0 0.0 11.5 56.5 71.6 178.7 1063.3
1980 157.3 123.7 199.5 42.6 31.1 0.0 0.0 0.0 16.0 119.0 120.8 35.5 845.5
1981 54.8 37.5 48.1 21.2 1.2 0.0 0.0 1.0 16.8 78.8 105.5 128.4 493.3
1982 124.0 148.3 223.2 61.8 0.0 4.0 0.0 17.0 10.7 99.9 146.7 80.0 915.6
1983 124.2 148.3 100.6 83.0 5.0 7.8 0.0 1.5 8.3 28.4 12.7 83.8 603.6
1984 292.6 158.4 165.8 81.2 22.6 25.6 3.8 19.5 9.9 131.5 193.5 108.9 1213.3
1985 196.5 166.6 163.3 108.7 43.2 9.1 1.0 0.0 92.5 56.6 148.7 148.0 1134.2
1986 171.6 229.4 192.7 135.8 19.3 0.0 10.4 23.6 56.6 13.2 70.1 141.0 1063.7
1987 270.0 90.2 95.0 44.5 12.2 0.0 17.0 3.5 8.8 55.1 159.0 153.3 908.6
1988 186.9 176.9 246.8 146.0 10.2 0.0 0.0 2.7 12.9 46.4 13.7 127.7 970.2
1989 244.6 135.4 173.0 79.2 27.7 19.3 0.0 36.6 37.6 48.5 43.9 143.8 989.6
1990 199.3 114.0 70.6 46.2 9.3 47.7 2.7 12.7 29.9 137.4 122.2 146.3 938.3
1991 195.5 97.8 137.2 43.9 27.7 22.3 0.0 1.3 27.7 74.7 51.8 155.4 835.3
1992 190.2 133.1 93.5 29.2 0.0 0.0 48.3 22.9 29.5 67.8 134.3 69.6 818.4
1993 240.7 35.7 162.8 122.4 4.8 10.2 13.5 32.8 52.1 70.0 187.5 182.3 1114.8
1994
1995
1996
1997
1998
1999
2000
2001
2002
N' DATOS 20 20 20 20 20 20 20 20 20 20 20 20 20
MEDIA 190.8 145.7 151.6 69.8 21.1 8.3 5.6 12.0 29.4 62.5 102.5 127.2 926.4
DESV.STD 70.1 59.4 49.5 35.8 27.9 12.0 11.0 12.6 21.0 35.4 58.7 39.9 181.9
MIN 54.8 35.7 48.1 21.2 0.0 0.0 0.0 0.0 8.3 9.5 12.7 35.5 493.3
MAX 375.9 276.9 246.8 146.0 133.0 47.7 48.3 36.6 92.5 137.4 215.2 191.0 1215.7
MEDIANA 188.6 141.1 164.5 65.6 14.9 2.0 0.3 7.9 28.6 55.8 96.3 136.5 936.3
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012133LA RAYA
LATITUD
CUENCA RAMIS 14º56'11.5" S REGION PUNO
RIO 70º53'09.4" W PROV MELGAR
TIPO CO 3980 MSNM DIST LLALLI
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964 83.5 99.5 71.5 35.9 8.5 0.0 0.0 0.0 11.5 21.5 64.5 77.5 473.9
1965 133.0 108.0 209.0 73.5 0.0 0.0 1.0 1.0 4.5 42.5 28.3 143.5 744.3
1966 97.5 148.1 90.5 12.0 32.3 0.0 0.0 0.0 14.5 83.1 110.0 123.5 711.5
1967 65.5 110.5 157.5 35.5 13.0 0.0 8.0 24.5 34.5 67.5 9.5 156.5 682.5
1968 175.3 245.9 93.0 30.0 1.5 8.0 3.0 4.5 44.5 120.5 83.6
1969 118.6 73.5 53.5 17.5 0.5 0.0 1.5 24.5 66.5 94.5
1970 202.0 160.2 160.5 51.5 11.0 0.0 0.0 0.0 16.5 14.0 0.0 183.9 799.6
1971 153.0 289.0 70.0 21.5 0.5 0.0 0.0 4.0 0.0 22.0 36.5 132.0 728.5
1972 270.0 37.5 3.5 0.0 9.0 10.0 12.5 45.0 41.0 127.5
1973 256.5 156.0 156.0 62.0 1.0 0.0 6.0 12.5 46.5 33.5 57.6 67.0 854.6
1974 226.6 213.5 142.5 103.0 2.5 18.5 4.0 96.5 12.0 16.5 34.5 143.5 1013.6
1975 179.3 136.2 147.5 18.5 31.1 0.0 0.0 2.0 15.5 26.0 44.0 126.0 726.1
1976 221.5 103.0 222.0 28.0 29.5 12.5 0.5 11.0 55.0 13.0 16.0 71.0 783.0
1977 78.8 169.0 136.9 25.0 5.0 62.9 55.5 164.2 54.5
1978 394.7 158.0 96.9 76.7 0.0 0.0 5.2 9.8 31.5 26.9 152.7 152.2 1104.6
1979 169.4 135.6 167.1 66.2 0.3 0.0 0.2 12.2 4.0 74.7 89.3 136.5 855.5
1980 52.3 44.7 147.3 15.8 8.6 0.0 0.8 5.0 31.7 120.8 79.1 97.1 603.2
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993 57.3 137.6 53.2 0.0 11.0 0.1 30.6 15.1 105.4 153.3 137.3
1994 208.2 173.3 154.4 75.2 2.8 0.0 0.0 0.0 5.0 15.9 75.4 122.2 832.4
1995 156.5 168.1 131.5 57.1 1.1 0.0 1.3 8.8 13.8 21.8 43.2 97.9 701.1
1996 176.6 163.4 117.3 60.9 16.6 0.0 0.0 3.9 9.8 25.1 41.8 158.0 773.4
1997 258.8 158.8 185.3 83.0 5.0 0.0 0.0 14.1 39.2 28.0 82.4 121.8 976.4
1998 218.6 175.9 90.0 37.6 0.0 1.1 0.0 9.1 5.3 80.2 73.2 89.8 780.8
1999 164.0 178.6 181.0 146.1 7.4 1.7 0.0 1.8 28.7 89.9 21.2 116.1 936.5
2000 241.5 184.8 127.7 24.1 18.5 5.1 9.0 12.4 7.8 115.8 23.0 104.4 874.1
2001 266.4 126.3 181.3 47.8 24.2 0.0 3.7 5.2 15.6 0.0 0.0 69.2 739.7
2002 155.9 150.4 131.7 56.0 30.2 0.6 16.0 110.0 23.2 115.9 92.0 104.5 986.4
N' DATOS 26 26 26 27 27 25 25 26 27 27 26 27 22
MEDIA 181.7 149.5 136.9 50.0 9.4 2.3 2.6 15.0 20.2 50.8 63.6 114.5 803.7
DESV.STD 75.5 52.4 41.9 29.8 10.8 4.8 4.1 26.6 16.0 35.5 46.1 31.8 139.9
MIN 52.3 44.7 53.5 12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54.5 473.9
MAX 394.7 289.0 222.0 146.1 32.3 18.5 16.0 110.0 62.9 120.8 164.2 183.9 1104.6
MEDIANA 176.0 157.0 140.1 47.8 5.0 0.0 0.2 7.0 15.1 42.5 50.8 121.8 781.9
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012107LLALLI
LATITUD
CUENCA RAMIS 14°29'00" S REGION PUNO
RIO 70°38'00" W PROV MELGAR
TIPO PLU 4135 MSNM DIST NUÑOA
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964 85.2 111.2 174.6 45.7 31.3 0.0 0.0 0.0 36.0 28.9 62.1 92.7 667.7
1965 147.5 114.5 180.4 73.6 0.0 0.0 0.0 2.6 11.1 33.5 80.0 154.4 797.6
1966 125.4 117.7 100.9 8.7 36.5 0.0 0.0 0.0 29.9 98.8 79.7 88.8 686.4
1967 59.9 122.0 121.6 16.0 13.0 1.8 27.4 38.9 58.0 52.0 47.9 162.0 720.5
1968 59.8 29.4 98.7 28.1 3.7 4.7 25.0 34.7 17.0 45.8 157.6 83.6 588.1
1969 219.1 212.5 73.8 47.0 2.3 0.0 15.6 7.6 44.2 104.2 27.0 68.6 821.9
1970 135.7 141.8 117.9 68.4 24.3 8.9 9.3 0.0 50.6 57.7 19.5 172.8 806.9
1971 203.3 181.9 38.9 72.8 9.6 0.0 0.0 8.2 2.0 112.2 111.2 94.6 834.7
1972 264.7 98.1 78.0 15.4 5.3 0.0 0.0 18.4 23.0 20.0 47.0 109.1 679.0
1973 96.0 126.1 105.4 50.6 0.0 0.0 15.9 29.6 50.1 49.8 31.6 40.4 595.5
1974 82.6 154.8 54.3 0.0 6.0 3.5 0.0 61.3 21.1 21.3 5.0 77.0 486.9
1975 180.7 143.5 28.8 7.7 8.5 0.0 0.0 0.0 13.3 49.1 31.5 206.6 669.7
1976 226.5 144.4 121.8 13.0 34.1 13.9 8.6 17.2 44.3 11.0 51.8 81.8 768.4
1977 32.3 96.7 159.9 24.8 26.8 4.5 1.9 0.9 46.0 75.2 99.4 150.0 718.4
1978 186.5 206.0 155.9 46.6 20.6 4.6 1.3 0.0 9.5 54.8 95.5 151.5 932.8
1979 111.9 148.5 127.7 57.9 0.0 0.0 0.2 2.5 5.2 22.9 32.6 58.7 568.1
1980 105.1 162.2 121.9 60.7 2.3 3.8 0.0 0.0 7.0 120.0 83.2 125.5 791.7
1981 161.9 182.0 120.4 13.8 0.0 0.0 0.0 0.0 21.0 61.4 33.0 65.1 658.6
1982 187.2 21.1 90.6 38.7 8.6 0.0 0.0 4.2 40.0 88.8 126.6 84.1 689.9
1983 106.0 83.3 59.8 9.8 10.2 0.0 0.0 0.0 8.7 3.2 24.1 3.5 308.6
1984 200.3 234.6 174.5 5.7 9.6 0.0 0.0 0.0 2.2 17.3 65.6 130.2 840.0
1985 149.3 177.7 138.9 37.1 26.3 0.0 0.0 0.0 33.4 50.5 46.4 49.8 709.4
1986 167.0 212.6 238.0 84.6 5.2 8.5 0.0 0.0 16.1 17.9 40.3 103.8 894.0
1987 182.4 42.3 13.2 11.7 3.6 5.6 34.4 0.0 0.0 35.0 43.4 30.3 401.9
1988 117.2 156.3 245.3 74.2 41.6 0.0 0.0 0.0 0.0 0.0 19.3 122.5 776.4
1989 54.3 198.2 85.0 32.5 17.0 0.0 0.0 22.8 17.5 134.2 133.6 112.2 807.3
1990 182.0 131.1 75.3 10.4 3.6 43.2 0.0 3.9 9.3 99.0 148.2 122.3 828.3
1991 124.5 96.0 115.1 40.9 3.8 31.2 8.9 0.0 25.7 89.5 39.1 61.9 636.6
1992 178.3 41.2 68.5 15.6 11.5
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
N' DATOS 29 29 29 29 29 28 28 28 28 28 28 28 28
MEDIA 142.5 134.1 113.3 34.9 12.6 4.8 5.3 9.0 22.9 55.5 63.7 100.1 703.0
DESV.STD 56.7 55.5 54.8 24.5 12.0 9.8 9.5 15.1 17.1 37.0 41.0 45.8 140.1
MIN 32.3 21.1 13.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 3.5 308.6
MAX 264.7 234.6 245.3 84.6 41.6 43.2 34.4 61.3 58.0 134.2 157.6 206.6 932.8
MEDIANA 147.5 141.8 115.1 32.5 8.6 0.0 0.0 0.5 19.3 50.2 47.5 93.7 713.9
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012108NUÑOA
LATITUD
CUENCA RAMIS 14º41'21.1" S REGION PUNO
RIO 70º21'55.8" W PROV AZANGARO
TIPO CO 3970 MSNM DIST ASILLO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964 77.7 66.5 218.0 17.7 16.4 0.0 0.0 0.5 31.9 40.8 55.7 60.8 586.0
1965 150.4 130.5 116.0 50.6 2.8 0.0 0.0 0.0 20.0 16.0 78.7 122.1 687.1
1966 50.1 74.5 45.9 0.3 40.8 0.0 0.0 0.0 31.3 60.8 70.8 70.7 445.2
1967 66.9 81.2 127.0 26.1 8.9 0.0 13.3 16.9 28.9 47.5 34.4 89.9 541.0
1968 50.7 158.4 98.7 38.6 1.7 0.0 13.4 20.1 27.2 23.3 79.6 44.2 555.9
1969 143.1 83.5 47.5 29.0 0.0 1.4 10.6 0.3 23.0 19.6 53.8 56.4 468.2
1970 141.5 82.2 123.5 68.0 14.0 0.5 0.8 0.0 49.7 53.7 53.9 139.5 727.3
1971 133.1 158.3 22.8 32.1 5.9 0.1 0.0 4.3 1.2 38.9 61.3 79.8 537.8
1972 155.2 166.7 79.3 27.5 0.4 0.0 2.8 8.3 16.6 21.0 57.9 104.2 639.9
1973 162.6 101.0 103.8 105.0 9.5 0.0 3.7 5.4 54.1 78.9 70.4 89.8 784.2
1974 107.1 117.5 86.4 49.8 13.0 5.1 0.2 21.1 32.9 30.7 33.5 55.1 552.4
1975 104.7 88.4 121.8 27.2 9.0 0.0 0.0 0.0 26.4 40.0 45.5 90.3 553.3
1976 167.6 80.1 92.0 28.8 22.3 4.8 3.3 12.5 41.0 8.6 48.0 117.7 626.7
1977 84.4 92.0 145.0 21.8 2.7 0.0 0.0 0.0 21.5 50.4 97.2 83.9 598.9
1978 150.6 110.3 124.3 50.8 4.1 0.0 0.0 0.0 52.9 17.3 128.9 184.6 823.8
1979 146.4 41.3 80.5 69.2 13.8 0.0 5.0 4.6 17.2 31.3 43.3 131.0 583.6
1980 117.2 80.4 107.5 4.9 9.1 0.4 2.3 0.0 6.1 77.4 12.3 81.3 498.9
1981 146.7 101.1 102.7 52.0 1.9 0.0 0.0 13.2 32.9 65.3 73.0 109.9 698.7
1982 191.7 53.4 95.5 20.3 0.0 0.0 0.0 0.8 15.8 53.6 109.3 48.3 588.7
1983 82.3 58.8 73.4 27.0 6.0 0.0 0.0 0.0 0.0 7.8 36.7 63.1 355.1
1984 108.7 37.9
1985 0.0 0.0 34.2 12.4 122.4 154.4
1986 134.3 168.7 162.8 114.1 10.6 0.0 6.0 38.2 41.4 102.3
1987 119.8 78.7 82.9 39.2 1.5 1.0 18.4 0.0 7.5 57.8 126.3 144.8 677.9
1988 148.8 85.0 154.8 58.4 17.6 0.0 0.0 0.0 9.0 17.9 10.5 67.5 569.5
1989 151.6 119.8 108.5 84.8 7.0 4.7 0.0 27.0 25.0 40.9 48.1 69.7 687.1
1990 131.5 75.6 36.7 33.5 0.0 21.6 0.0 5.4 19.0 84.0 67.8 18.0 493.1
1991 154.3 73.7 105.1 40.9 0.0 0.0 0.0 0.0 6.0 28.2 25.9 131.7 565.8
1992 49.1 21.1 0.0 3.2 0.0 37.2 18.0 29.4 79.8 78.6
1993 191.5 79.1 103.6 52.3 9.7 3.7 10.2 21.9 5.9 158.0 178.0 98.3 912.2
1994 120.1 110.7 102.0 59.2 4.8 0.5 0.0 3.2 15.1 51.8 74.8 116.6 658.8
1995 69.5 79.1 101.7 14.8 0.0 0.0 0.0 0.0 10.7 16.8 79.1 98.2 469.9
1996 141.5 62.9 94.6 21.4 10.8 0.0 1.4 3.0 4.6 44.8 45.2 125.4 555.6
1997 179.8 135.8 196.9 48.0 12.6 0.0 0.0 13.6 17.0 40.0 108.7 60.2 812.6
1998 113.8 72.2 52.8 17.5 0.0 7.7 0.0 1.2 2.2 100.3 88.7 32.6 489.0
1999 108.3 125.6 136.6 37.8 0.5 0.0 0.0 0.0 16.6 35.8 54.3 65.7 581.2
2000 126.9 114.1 105.1 9.6 1.4 1.2 1.6 2.4 17.0 108.0 17.6 99.6 604.5
2001 151.8 111.5 135.4 30.6 21.4 0.0 5.5 0.0 14.2 59.4 62.7 57.4 649.9
2002 117.0 107.0 82.0 149.2 8.8 1.8 25.4 4.4 25.6 131.6 86.0 134.6 873.4
N' DATOS 37 37 37 37 37 37 37 38 38 37 38 38 35
MEDIA 127.0 96.3 103.3 42.7 7.8 1.6 3.2 6.1 21.5 48.6 67.4 91.5 612.9
DESV.STD 35.6 32.7 40.3 30.5 8.3 3.8 5.9 9.0 13.8 33.5 34.7 35.9 122.1
MIN 50.1 37.9 22.8 0.3 0.0 0.0 0.0 0.0 0.0 7.8 10.5 18.0 355.1
MAX 191.7 168.7 218.0 149.2 40.8 21.6 25.4 37.2 54.1 158.0 178.0 184.6 912.2
MEDIANA 133.1 85.0 102.7 33.5 6.0 0.0 0.0 1.8 18.5 40.8 62.0 89.9 586.0
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012110PROGRESO
LATITUD
CUENCA RAMIS 14º44'00" S REGION PUNO
RIO 70º31'00" W PROV MELGAR
TIPO PLU 3920 MSNM DIST ORURILLO
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964
1965
1966 29.2 63.3 86.2 97.5
1967 53.5 118.5 86.6 32.6 15.3 0.0 10.3 16.8 35.8 60.6 25.8 136.1 591.9
1968 86.3 209.4 85.0 27.4 2.0 0.0 13.0 5.7 30.4 65.6 73.7 69.7 668.2
1969 143.3 131.1 31.9 35.3 0.0 0.0 3.2 0.1 9.4 28.9 78.3 60.3 521.8
1970 211.5 92.2 128.5 105.7 25.1 0.8 0.0 0.0 55.0 51.0 68.7 197.8 936.3
1971 96.0 177.3 90.8 76.6 0.9 3.1 0.0 6.0 1.0 38.2 56.3 69.8 616.0
1972 210.6 122.7 151.3 46.2 4.0 0.0 3.4 6.2 26.6 21.3 51.9 80.2 724.4
1973 168.9 86.1 131.6 84.3 4.6 0.8 4.9 8.2 58.2 69.5 47.0 45.2 709.3
1974 174.6 193.0 134.7 42.1 7.8 10.7 0.0 44.6 29.6 35.9 34.2 100.4 807.6
1975 125.7 109.5 109.0 28.8 12.8 0.0 0.0 0.0 14.7 59.8 50.5 118.9 629.7
1976 199.6 67.4 124.7 34.6 22.8 4.3 4.3 12.6 51.8 0.2 35.1 98.2 655.6
1977 123.1 160.9 217.0 31.6 5.6 0.0 0.4 0.0 42.2 74.3 193.3 94.3 942.7
1978 206.3 111.8 127.2 59.7 5.4 0.0 0.1 0.3 34.1 19.7 129.7 125.6 819.9
1979 145.6 53.9 76.5 61.2 1.4 0.0 0.0 4.1 14.4 21.9 73.4 140.9 593.3
1980 153.2 60.6 170.9 7.6 5.6 0.0 11.3 2.9 23.7 94.6 13.7 124.1 668.2
1981 177.9 111.4 135.4 71.1 4.9 4.5 0.0 16.5 37.1 51.5 88.1 134.8 833.2
1982 149.0 70.7 168.2 58.7 0.0 0.0 0.0 6.7 38.9 103.0 117.2 71.8 784.2
1983 111.9 87.1 68.8 57.1 9.0 1.4 0.0 0.0 12.9 26.2 19.9 120.3 514.6
1984 204.3 198.8 130.1 48.4 17.7 2.4 0.0 5.4 2.8 116.3 123.3 129.1 978.6
1985 181.6 130.5 135.6 174.3 22.3 23.4 0.0 0.9 64.3 14.9 146.8 275.1 1169.7
1986 128.2 234.2 168.9 201.5 2.6 0.0 0.0 12.6 34.0 0.0 23.4 106.8 912.2
1987 130.7 28.7 21.0 21.8 1.7 2.4 29.9 1.4 0.0 15.0 73.2 95.0 420.8
1988 133.6 87.4 207.3 50.8 20.1 0.0 0.0 0.0 9.1 33.8 5.2 62.2 609.5
1989 174.9 99.4 134.4 29.0 25.5 9.6 2.9 19.1 36.8 11.7 32.9 59.4 635.6
1990 175.1 43.8 26.0 27.2 2.5 55.0 0.0 4.7 2.8 64.9 80.1 79.8 561.9
1991 159.7 81.6 59.1 14.3 17.7 39.2 0.0 3.4 10.0 7.5 42.1 30.9 465.5
1992 103.6 84.1 42.3 8.1 0.0 1.4
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
N' DATOS 26 26 26 26 26 26 25 25 26 26 26 26 25
MEDIA 151.1 113.5 114.0 55.2 9.1 6.1 3.3 7.1 27.1 44.2 68.1 104.8 710.8
DESV.STD 40.4 52.4 51.7 44.8 8.5 13.0 6.6 9.5 18.1 31.0 44.1 49.1 176.2
MIN 53.5 28.7 21.0 7.6 0.0 0.0 0.0 0.0 0.0 0.0 5.2 30.9 420.8
MAX 211.5 234.2 217.0 201.5 25.5 55.0 29.9 44.6 64.3 116.3 193.3 275.1 1169.7
MEDIANA 151.1 104.5 127.9 44.2 5.5 0.8 0.0 4.7 29.4 37.1 62.5 97.9 668.2
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012109ORURILLO
LATITUD
CUENCA RAMIS 14º37'25.5" S REGION PUNO
RIO 70º47'11.5" W PROV MELGAR
TIPO CO 3966 MSNM DIST SANTA ROSA
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL
1964 110.0 110.0 96.0 52.0 46.0 0.0 0.0 19.7 28.0 85.5
1965 185.5 151.0
1966 11.0 66.0 128.4 128.3 173.1
1967 97.7 124.3 146.9 33.2 15.8 0.5 21.8 29.0 30.2 63.5 31.8 163.1 757.8
1968 143.8 223.7 136.8 21.1 2.6 2.0 14.5 1.5 85.0
1969 243.2 155.7 104.3 0.0 0.0 15.4 3.7 30.0 134.7 66.6 77.3
1970 224.5 215.9 234.0 107.4 8.0 2.0 0.0 0.0 117.0 98.0 38.6 331.3 1376.7
1971 212.8 229.6 52.2 109.9 2.7 0.1 0.0 1.0 0.0 38.6 80.9 184.8 912.6
1972 309.9 153.8 147.0 54.0 2.3 0.0 0.0 16.8 17.7 38.9 76.1 162.1 978.6
1973 167.2 166.8 237.6 184.3 41.7 4.8 0.0 26.8 58.5 75.6 141.2 120.4 1224.9
1974 216.9 196.6 158.1 113.5 11.8 0.0 0.0 121.4 55.2 91.6 74.6 158.2 1197.9
1975 276.3 194.0 166.7 35.2 16.8 14.6 0.0 13.1 81.8 64.0 102.7 258.6 1223.8
1976 239.0 121.7 180.3 47.8 39.6 13.7 17.2 17.4 73.6 46.5 57.3 124.7 978.8
1977 272.8 286.9 188.2 27.4 0.0 0.0 5.6 0.0 59.9 86.1 248.9 207.9 1383.7
1978 154.6 252.3 177.1 51.7 2.6 0.5 0.0 0.0 53.4 18.9 236.5 223.9 1171.5
1979 279.7 97.7 156.9 87.9 2.3
1980
1981
1982
1983
1984
1985
1986 7.6 98.0 205.6
1987 186.4 94.0 115.9 39.2 2.0 0.0 24.7 19.2 11.9 50.6 132.4
1988
1989 45.1 43.4 54.4 51.3 111.3
1990 238.9 195.3 186.7 62.9 8.1 31.7 2.9 4.8 73.8 30.9 166.5
1991 142.6 106.5 143.4 42.7 30.2 29.6 0.0 0.0 10.9 63.4 26.0 101.1 696.4
1992 109.8 68.5 26.9 4.0 0.0 0.5 0.0 23.4 8.3 38.3 93.7 87.1 460.5
1993 199.2 57.0 140.1 93.5 7.5 7.9 7.2 26.7 28.8 72.1 150.5 171.5 962.0
1994 263.2 174.4 188.3 74.8 13.0 2.0 0.0 3.7 4.5 37.3 92.3 179.4 1032.9
1995 127.3 148.2 159.9 28.5 6.2 0.0 0.0 50.5 84.8 144.6 106.3
1996 190.0 188.2 150.1 56.7 9.8 0.0 10.7 12.9 30.2 74.5 111.0 180.4 1014.5
1997 280.5 162.6 244.9 60.2 5.8 0.0 21.9 70.8 63.1 164.7 158.9
1998 145.6 125.6 134.6 33.3 0.0 2.6 0.0 5.0 9.1 127.5 114.1 46.6 744.0
1999 138.5 164.9 276.0 65.2 10.3 0.0 0.0 0.0 26.6 54.7 16.4 98.2 850.8
2000 187.1 139.6 108.0 19.0 3.2 5.9 2.8 7.1 10.5 180.2 24.6 151.5 839.5
2001 242.8 163.7 125.8 28.9 34.9 0.0 8.8 5.2 15.5 37.9 25.9 56.4 745.8
2002 153.5 168.6 130.9 84.8 27.8 11.3 12.1 2.4 19.9 107.1 89.3 123.6 931.3
N' DATOS 29 28 28 28 28 26 25 28 28 29 29 28 20
MEDIA 197.9 160.1 155.9 61.6 12.5 5.0 5.6 14.9 36.0 70.3 94.3 150.5 974.2
DESV.STD 58.4 53.0 52.5 37.9 13.7 8.6 7.7 23.5 28.2 37.7 57.7 61.2 232.5
MIN 97.7 57.0 26.9 4.0 0.0 0.0 0.0 0.0 0.0 7.6 16.4 46.6 460.5
MAX 309.9 286.9 276.0 184.3 46.0 31.7 24.7 121.4 117.0 180.2 248.9 331.3 1383.7
MEDIANA 190.0 163.2 152.9 53.0 7.8 0.5 0.0 6.2 29.4 63.5 89.3 158.6 970.3
ALTITUD
LONGITUD
ESTACION
PRECIPITACION TOTAL MENSUAL ORIGINAL (mm)
CODIGO 012112SANTA ROSA
LATITUD
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 187.8 133 68 44.6 4.4 0.6 0.4 9.8 53.5 31.4 92.9 35.2 661.61961 171 171.5 121.1 38.9 16.6 4.9 0 9.6 17.5 22.7 38 123.8 735.61962 193 127.4 90.6 56.6 4.7 0.1 13.7 1 25.2 33.3 47.4 98.8 691.81963 199.2 144.3 81 27.2 1.8 0.4 2.1 1.9 17.8 49.2 42.7 91.4 6591964 94.5 130.3 121.9 25.9 19.6 0.1 0 5.8 27.6 14.9 55.1 51.9 547.61965 88.4 76.6 45.7 25 1.6 1.6 2.9 4.6 22.1 17.8 22.7 128 4371966 48.5 107.8 56 20.1 36.3 0 0.1 0.1 3.9 33.4 69.7 63.2 439.11967 76.8 119.7 170.5 24.5 9.7 0 10.3 8.6 35.9 29.3 5.1 110 600.41968 131.4 139.7 114.7 23.8 28.7 10.5 1.2 0.9 9.6 48.3 107.8 68.3 684.91969 157.9 87.2 52.9 18.2 1.7 1 1.8 1.5 10.8 16.2 38.2 80.4 467.81970 121.9 101.8 124.7 27.1 13 0.1 0.2 0.1 7.5 16.1 14.5 128.2 555.21971 145.6 219.9 60.7 22.7 1.9 1.3 0 3.3 0.1 10.2 45.6 113.8 625.11972 223 152.2 129 15.4 1.9 0 0.7 0.3 17.5 30.7 43.1 115.7 729.51973 208.5 126.9 122.9 52.1 11.9 0.5 6 10.9 32.2 8.2 19.1 57.6 656.81974 271 222.8 70.1 32.1 0.3 1.1 0.2 61.5 8.9 8.6 11.6 55.8 7441975 153.5 198.1 113.2 15.5 18.8 2.8 0 4.2 14.2 28.8 20.2 169.8 739.11976 257.3 136.4 131.5 20.4 8 0.3 9.9 27.6 31.8 5.2 2.1 61.7 692.21977 62.9 194.5 140.5 8.4 3.6 0 1 0.4 19.8 33.8 83.2 97.6 645.71978 208.1 87.5 82.9 41.9 0 0 8.8 4.3 9.4 7.1 105.3 88.9 644.21979 161 69.6 109.7 15.5 0.3 0.4 4.7 3.9 2.7 33.8 25.3 77.2 504.11980 63.5 56.3 183.5 6.8 0.2 0 4.4 8 32.8 58 29.4 34.6 477.51981 181 237.2 110.2 40.1 2.9 0.1 1.1 27.8 16.4 17.5 19.9 112.7 766.91982 175.4 74.8 96.4 28.4 2.6 0.6 1.2 1.6 33.7 68.6 64.2 22 569.51983 56.6 53.2 19.2 18.3 3.8 1.6 0.1 3 15.5 13 15.4 72.5 272.21984 293 243 177.8 17.8 8 12.6 0.3 8.1 2.7 74.1 132.9 82.5 1052.81985 137.2 213.8 100.7 83.3 17.3 18.3 0.4 5.2 31.2 11 114.9 156.6 889.91986 146.1 239.8 201.9 70.7 5.7 0.1 3.2 8.8 7.2 4.4 30.2 140.4 858.51987 216.6 53.7 46.9 17.6 1 3.1 22.2 2.4 6.9 30.5 46.2 27.5 474.61988 161.6 44.7 129.5 85.5 10 0.8 0.3 0 13.3 23.2 6.9 71.4 547.21989 168.7 130.7 140.6 57.8 5.6 4.2 3.2 5.8 7.6 3.3 15.4 28.1 5711990 118 34.3 58.4 19.8 13.2 46.2 3 14.7 5.9 70.2 77.2 91.3 552.21991 108.8 91 153.8 35.3 3.1 21.6 2.3 1.5 12.8 28.1 19.6 50.7 528.61992 120.4 65.9 30.5 22.7 0.3 2.7 5.8 29.3 0.5 45.5 39 74.8 437.41993 175.9 57.4 126.5 41.2 8 1.3 0 39.5 14.6 74 77.3 128.5 744.21994 163.8 165.7 109.8 66.4 10.3 0.7 1.3 0.6 4.6 13.5 61 117.8 715.51995 108.4 120.3 119.7 10.9 2.2 0.5 0 1.2 9.2 7.7 44.7 106.1 530.91996 208.5 117.6 62.5 40 9.4 0 1.3 24.9 5.9 5.4 66.7 93.2 635.41997 198.5 192.4 91.6 29.3 2.5 0 0 28.8 63.5 21.9 85.9 63.7 778.11998 124.2 88.9 67.8 21.6 0.1 12.8 0 0.4 0.9 20 41.5 24.5 402.71999 123.2 191.7 215.5 61.7 8.8 0.4 0.1 4.8 8.5 77.6 6.1 64.9 763.32000 233.9 170.1 104.5 16.9 4.6 1.9 0.9 8.1 4.5 54.8 9.3 97 706.52001 299 213.4 137.2 48.2 6.6 0.6 3.5 9.9 8 28.8 31.4 52.6 839.22002 74.4 185.8 141.2 70 17.3 8.3 19.8 9.7 9 49.4 67 79.8 731.72003 128.1 106.9 117.4 17.1 10.4 0.4 1.4 7.6 16.8 11.7 23 90 530.82004 195.9 124.5 71.6 21.5 9.1 3 19.3 41.2 13.6 0.8 11 63 574.52005 103.7 203 62.2 30.6 3.4 0 0 0 21.4 28.9 39 134.1 626.32006 240.1 93.5 106 37.9 8.5 1.7 0 6.3 18.5 26 53.4 72.6 664.52007 94.5 86.4 131.8 31.2 3.8 0.4 0.6 0.4 35.9 26.3 46 83 540.3
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0PROM. 157.9 133.4 106.7 33.4 7.6 3.5 3.3 9.6 16.4 28.6 45.1 84.4 630.1DESVEST 62.0 58.6 43.4 19.4 7.6 7.9 5.4 12.9 13.4 20.7 31.8 35.0 142.4MAXIMA 299.0 243.0 215.5 85.5 36.3 46.2 22.2 61.5 63.5 77.6 132.9 169.8 1052.8MINIMA 48.5 34.3 19.2 6.8 0.0 0.0 0.0 0.0 0.1 0.8 2.1 22.0 272.2
AÑOMESES TOTAL
ANUAL
PRECIPITACION AREAL MENSUAL (mm)
CUENCA RIO ILAVE
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 263.0 249.8 95.7 24.1 0.3 0.1 0.0 3.2 0.2 35.5 52.7 69.9 794.51961 240.7 236.0 90.0 45.0 0.0 3.3 0.1 0.0 0.0 0.7 0.1 42.5 658.41962 70.7 291.0 57.7 32.7 1.9 0.0 0.0 0.0 0.9 0.0 20.1 60.6 535.61963 206.3 70.3 46.2 3.4 0.0 0.0 0.1 0.0 19.0 250.0 49.1 88.5 732.91964 63.3 101.1 38.8 14.2 10.0 0.0 0.0 0.0 1.2 10.3 22.7 39.0 300.61965 70.3 146.2 33.6 15.0 0.0 0.0 0.0 9.0 22.2 0.0 13.8 51.2 361.31966 6.8 123.8 60.5 0.0 19.9 0.0 0.0 0.0 0.0 2.1 36.3 36.4 285.81967 83.8 186.8 170.8 0.0 3.2 0.0 0.0 0.0 3.7 2.1 1.3 69.0 520.71968 105.9 158.5 89.6 0.0 21.0 9.8 0.0 0.0 9.9 31.0 92.6 60.6 578.91969 94.0 99.6 53.2 2.5 60.2 0.0 0.0 0.0 11.0 0.0 22.3 98.6 441.41970 141.1 118.2 70.2 4.8 3.4 0.0 0.0 0.0 0.0 0.0 0.0 32.9 370.61971 139.6 244.6 117.1 15.7 0.0 0.0 0.0 0.0 0.0 0.0 40.6 84.1 641.71972 131.5 87.2 160.1 6.5 0.0 0.0 0.0 0.0 5.6 20.5 25.9 51.9 489.21973 236.3 128.4 27.8 0.0 0.0 0.0 0.0 11.5 12.8 0.0 4.1 30.0 450.91974 320.6 196.4 7.3 14.2 0.0 0.5 0.0 75.8 0.0 0.0 12.1 23.0 649.91975 137.1 199.7 209.8 4.2 0.0 0.0 0.0 0.0 14.0 0.0 0.0 205.8 770.61976 297.1 98.8 58.3 0.0 0.0 0.0 0.0 7.2 5.0 0.0 0.0 20.8 487.21977 72.3 253.0 169.4 0.0 0.0 0.0 0.0 0.0 2.2 0.0 53.1 99.5 649.51978 268.2 74.9 182.2 67.6 0.0 0.0 0.0 6.8 0.0 0.0 92.8 138.4 830.91979 226.5 71.9 142.3 0.0 0.0 0.0 0.0 0.0 0.0 21.1 16.0 99.5 577.31980 104.8 81.5 343.9 41.2 0.0 0.0 0.0 10.1 0.0 42.4 0.0 57.0 680.91981 115.8 283.6 212.1 18.6 0.0 0.0 0.0 0.0 0.0 0.0 10.6 149.3 790.01982 227.1 226.8 52.9 7.3 0.0 0.0 0.0 0.0 0.6 31.9 54.4 31.8 632.81983 38.8 26.3 31.8 0.0 0.0 0.0 4.5 0.0 0.0 8.5 0.0 50.2 160.11984 261.0 241.3 85.1 0.0 0.0 0.0 0.0 0.0 0.0 81.7 72.7 155.5 897.31985 176.9 171.3 114.0 10.1 0.0 5.8 0.0 0.0 0.0 0.0 80.2 217.8 776.11986 227.8 263.7 233.3 12.7 0.0 0.0 0.0 3.2 4.6 0.0 0.0 102.2 847.51987 255.5 104.8 41.4 4.6 0.0 0.0 28.5 0.0 0.0 0.0 24.1 16.8 475.71988 163.0 50.6 167.0 28.4 2.2 0.0 0.0 0.0 0.0 3.4 0.0 44.2 458.81989 16.7 131.6 198.4 123.6 0.0 8.4 0.0 0.0 0.0 0.0 0.2 14.7 493.61990 127.0 26.0 64.4 17.7 0.0 56.0 0.0 0.0 0.0 24.1 82.7 156.7 554.61991 178.3 87.8 147.9 33.7 4.2 30.2 0.0 0.0 0.0 12.7 11.5 40.6 546.91992 268.3 17.3 12.3 0.8 0.0 0.0 0.0 4.9 0.0 17.6 40.5 146.9 508.61993 258.2 120.0 74.9 17.2 0.0 0.0 0.0 28.9 0.0 13.7 67.3 177.8 758.01994 240.8 264.7 29.8 57.0 9.8 0.0 0.0 0.6 2.7 2.4 28.5 132.6 768.91995 75.1 50.3 87.7 5.2 0.0 0.0 0.0 0.0 0.4 0.4 27.1 31.6 277.81996 154.6 94.3 37.3 20.0 3.1 0.0 0.0 2.7 0.0 0.1 30.1 105.9 448.11997 189.1 189.0 50.8 11.8 20.5 0.0 0.0 17.7 36.0 3.7 21.2 37.9 577.71998 171.5 79.6 25.1 9.7 0.0 2.0 0.0 0.3 0.0 0.2 29.9 17.3 335.61999 57.3 175.9 209.2 57.0 0.1 0.0 0.0 2.1 1.5 19.5 0.0 36.3 558.92000 165.7 130.7 139.8 14.8 3.8 0.0 0.0 0.0 0.9 19.6 1.7 61.0 538.02001 266.8 257.8 134.7 37.4 0.0 3.1 0.0 2.2 0.4 5.8 9.4 33.8 751.42002 64.8 159.3 160.4 67.1 7.4 9.2 12.2 2.1 0.0 35.7 42.4 108.1 668.72003 86.2 82.2 78.1 0.0 6.4 0.0 6.2 0.0 0.0 66.9 2.5 53.5 382.02004 150.4 73.9 60.5 11.7 0.0 47.8 31.0 25.5 1.3 0.0 0.0 39.3 441.42005 91.0 187.8 48.4 12.9 0.0 0.0 0.0 0.0 4.4 5.7 19.1 108.2 477.52006 188.0 101.9 139.1 22.0 1.0 0.0 0.0 0.0 0.0 12.4 27.4 87.2 579.02007 108.3 102.4 92.4 18.3 1.9 0.0 1.9 0.0 3.8 5.2 31.4 65.0 430.6
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0PROM. 158.4 144.1 103.2 19.0 3.8 3.7 1.8 4.5 3.4 16.4 26.5 76.7 561.3DESVEST 81.0 75.8 70.8 23.8 9.9 11.3 6.3 12.3 7.0 38.7 26.7 51.3 168.6MAXIMA 320.6 291.0 343.9 123.6 60.2 56.0 31.0 75.8 36.0 250.0 92.8 217.8 897.3MINIMA 6.8 17.3 7.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.7 160.1
TOTAL
ANUALAÑO
MESES
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: CAPAZO
Código : 117041Cuenca : MauriTipo : CO
País : PerúDpto : PunoProv : EL Collao
Distrito : CapazoLatitud Sur : 17°11'15.8"Longitud Oeste : 69°44'07.8"
Altitud (msnm) : 4530.00Zona : 19 SurPropietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 96.4 207.0 228.8 22.0 2.1 0.0 0.0 0.0 4.5 4.5 11.6 48.3 625.21961 136.9 270.0 31.4 0.4 0.0 1.3 0.1 34.2 0.0 3.1 0.6 8.8 486.81962 58.9 138.9 85.5 60.8 0.0 0.0 0.1 0.3 0.1 0.0 5.6 22.2 372.41963 144.4 160.0 18.8 0.7 0.0 0.0 8.7 0.2 1.1 34.8 120.0 5.9 494.61964 7.2 81.7 55.2 37.1 0.0 0.0 0.0 15.0 0.0 2.0 42.0 81.0 321.21965 59.5 116.3 23.7 6.5 0.0 0.0 1.5 1.5 13.3 0.0 1.7 30.1 254.11966 7.6 87.6 35.2 0.0 20.3 0.0 0.0 0.0 0.0 0.0 26.7 2.7 180.11967 58.1 123.3 101.9 23.7 0.2 0.0 0.6 0.0 0.2 0.3 0.0 81.1 389.41968 97.8 81.8 286.8 10.1 19.3 42.5 0.0 0.0 0.4 23.6 34.4 60.9 657.61969 38.7 108.8 28.7 8.8 0.0 0.0 0.0 0.0 17.3 0.0 17.5 66.7 286.51970 182.9 75.1 149.6 11.5 1.0 0.0 0.0 0.0 0.0 0.3 0.0 15.9 436.31971 200.7 154.8 40.2 0.7 0.0 0.0 0.0 0.0 0.0 0.0 9.3 101.4 507.11972 302.0 84.1 194.9 26.0 0.0 0.0 0.0 0.0 2.0 6.5 5.6 172.0 793.11973 455.8 316.5 179.7 15.8 0.0 0.0 0.3 20.5 0.9 0.0 0.5 0.0 990.01974 179.7 108.7 45.2 14.9 0.0 1.0 0.0 83.0 0.0 0.0 3.7 61.2 497.41975 253.3 263.7 184.0 2.9 2.0 0.0 0.0 0.0 0.0 0.8 0.0 138.5 845.21976 272.1 113.3 70.8 24.4 5.2 0.0 0.0 0.0 15.1 0.0 0.0 78.5 579.41977 61.6 266.9 272.4 0.0 8.7 0.0 0.0 0.0 0.0 0.0 2.9 30.3 642.81978 208.2 47.0 15.1 27.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.3 311.71979 126.8 19.7 189.5 0.0 0.0 0.0 0.0 0.0 0.0 3.2 0.0 51.4 390.61980 33.3 83.5 202.7 0.0 0.0 0.0 0.0 0.0 0.0 74.5 0.0 0.0 394.01981 154.5 315.4 135.8 0.0 0.0 0.0 0.0 21.2 0.0 0.0 0.0 69.7 696.61982 189.0 54.3 0.0 0.0 0.0 0.0 52.9 0.0 0.0 15.1 19.2 0.0 330.51983 4.5 4.5 2.8 0.0 0.0 0.0 0.0 0.0 8.7 0.0 0.0 43.6 64.11984 263.6 309.0 169.2 1.0 0.0 1.7 0.0 2.5 0.0 62.3 161.6 96.3 1067.21985 85.7 280.8 25.8 25.3 1.1 2.5 1.6 0.5 0.4 0.0 0.0 65.7 489.41986 102.4 255.1 207.3 0.0 0.0 0.0 4.3 2.2 0.0 0.0 0.5 86.4 658.21987 83.1 23.7 16.9 0.0 0.0 0.0 7.9 0.0 0.0 9.0 7.6 0.0 148.21988 67.5 7.9 36.6 13.5 5.4 0.0 0.0 0.0 0.0 17.9 0.0 15.8 164.61989 172.7 193.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.8 0.0 0.0 366.81990 6.2 36.3 18.4 0.0 0.1 5.5 0.1 0.3 2.7 66.6 16.8 76.7 229.71991 201.1 109.5 216.1 3.2 0.1 0.2 3.8 0.0 0.3 3.8 0.0 18.1 556.21992 87.6 27.8 0.0 0.0 0.0 0.0 0.0 0.1 0.1 235.0 12.3 142.0 504.91993 282.2 8.4 247.9 1.0 0.0 0.1 0.0 0.0 0.1 0.6 0.8 56.9 598.01994 281.4 191.0 208.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17.3 698.01995 33.5 83.2 61.2 40.0 3.0 0.0 0.0 0.0 0.0 4.2 45.9 20.4 291.41996 46.1 60.5 24.7 9.8 0.0 0.0 0.0 0.0 0.4 1.4 10.7 46.2 199.81997 133.4 112.4 32.1 15.5 4.6 0.0 0.0 33.6 45.8 0.0 18.4 39.8 435.61998 206.3 42.8 11.7 0.9 0.9 7.0 0.0 0.0 0.0 1.7 17.2 36.3 324.81999 75.6 236.3 170.4 32.2 1.2 0.0 0.0 0.0 12.8 18.2 0.0 33.8 580.52000 164.0 105.4 99.1 28.5 6.3 2.7 2.2 2.2 2.2 15.7 5.1 62.7 496.12001 172.0 165.1 142.9 42.6 2.2 2.6 0.0 0.0 3.6 10.3 9.7 1.3 552.32002 63.0 191.0 123.3 60.8 2.3 0.0 31.3 0.0 0.0 24.3 31.6 81.8 609.42003 47.6 157.8 103.7 9.7 12.6 0.0 3.6 4.4 0.0 3.2 7.1 59.9 409.62004 143.3 97.2 63.1 4.2 0.0 0.5 21.1 15.7 1.8 0.0 0.0 29.3 376.22005 83.6 154.1 58.0 6.1 0.0 0.0 0.0 0.0 8.4 0.9 22.9 82.4 416.42006 115.0 126.1 176.6 25.2 0.0 0.0 0.0 0.0 0.7 28.3 20.4 57.7 550.02007 92.5 97.8 84.3 6.6 3.2 0.5 0.0 0.0 3.9 3.8 31.2 74.3 398.1
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0PROM. 132.1 132.4 101.6 12.9 2.1 1.4 2.9 4.9 3.1 14.1 15.0 49.7 472.3DESVEST 94.2 87.8 83.9 15.9 4.5 6.2 9.2 14.1 7.6 37.0 29.5 39.9 207.5MAXIMA 455.8 316.5 286.8 60.8 20.3 42.5 52.9 83.0 45.8 235.0 161.6 172.0 1067.2MINIMA 4.5 4.5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.1
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: VILACOTA
Código : S/C País : Perú Distrito : Tarata Altitud (msnm) : 4390.00
AÑOMESES TOTAL
ANUAL
Cuenca : Mauri Dpto : Tacna Latitud Sur : 17°07'06" Zona Geografica: 19 SurTipo : CO Prov : Tarata Longitud Oeste : 70°03'03" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 171.0 72.7 91.8 15.4 0.0 1.2 0.0 7.3 2.7 52.0 58.2 46.3 518.61961 209.3 109.2 74.0 49.4 0.0 1.4 0.0 26.1 0.1 0.5 0.0 50.3 520.31962 66.0 136.8 32.6 86.8 0.0 0.0 0.1 4.5 0.2 7.7 24.5 71.0 430.21963 344.4 29.8 36.4 10.3 0.0 0.0 25.1 0.1 1.2 77.7 58.8 81.4 665.21964 23.4 121.0 51.0 11.0 0.0 1.0 0.0 47.0 2.0 1.0 13.0 42.0 312.41965 64.0 51.0 51.0 21.0 0.0 0.0 0.0 1.0 0.0 2.0 3.0 64.0 257.01966 24.2 98.0 57.0 50.0 1.0 0.0 0.0 1.0 6.0 99.0 30.0 38.0 404.21967 17.0 90.0 109.0 10.0 0.0 0.0 0.0 3.0 14.0 6.0 0.0 24.0 273.01968 88.0 97.0 62.0 6.0 0.0 0.0 0.0 2.0 2.0 18.0 42.0 34.0 351.01969 70.0 45.0 55.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 51.0 79.0 348.01970 78.0 79.0 82.0 0.0 0.0 0.0 0.0 0.0 2.0 12.0 4.0 36.0 293.01971 17.0 210.0 43.0 15.0 0.0 0.0 0.0 1.0 0.0 27.0 25.0 56.0 394.01972 163.0 69.0 64.0 15.0 0.0 0.0 0.0 0.0 2.0 30.0 34.0 63.0 440.01973 289.0 86.0 70.0 1.0 0.0 1.0 0.0 2.0 9.0 10.0 19.0 91.0 578.01974 361.0 225.0 53.0 11.0 0.0 0.0 2.0 36.0 5.0 0.0 2.0 29.0 724.01975 243.0 88.0 54.0 7.0 2.0 3.0 0.0 4.0 1.0 12.0 4.0 95.0 513.01976 132.0 55.0 112.0 6.0 1.0 0.0 2.0 2.0 35.0 0.0 1.0 28.0 374.01977 58.7 262.0 119.4 14.1 2.0 0.0 0.0 0.0 5.5 26.1 70.4 78.2 636.41978 214.0 44.5 64.0 65.0 0.0 0.0 8.2 0.0 0.0 8.2 92.7 52.5 549.11979 129.9 33.2 69.7 0.0 0.0 0.0 0.0 7.4 0.0 44.0 23.0 60.8 368.01980 9.5 43.1 119.2 2.8 0.0 0.0 1.8 5.8 9.3 3.0 8.0 40.3 242.81981 101.2 145.6 40.6 41.2 0.0 0.0 0.0 30.8 1.3 2.3 17.5 65.1 445.61982 155.2 30.9 43.1 1.0 0.0 0.0 0.0 0.0 9.6 43.4 35.4 13.8 332.41983 5.6 40.5 19.8 5.9 0.0 0.0 0.0 0.0 2.3 2.7 0.0 31.3 108.11984 118.0 113.0 128.0 1.0 5.0 3.0 0.0 3.0 29.0 17.0 71.0 91.0 579.01985 38.0 115.0 59.0 1.0 0.0 37.0 3.0 0.0 8.0 6.0 46.0 34.0 347.01986 126.0 179.0 131.0 16.0 0.0 0.0 0.0 25.0 3.0 0.0 7.0 61.0 548.01987 129.0 24.0 52.0 2.0 0.0 0.0 3.0 1.0 3.0 5.0 13.0 50.0 282.01988 106.0 25.0 68.0 14.0 0.0 0.0 0.0 0.0 11.0 4.0 0.0 59.0 287.01989 200.0 33.0 66.0 38.9 1.0 0.0 2.7 0.0 0.0 0.0 1.4 15.2 358.21990 141.9 9.8 45.6 12.3 0.0 100.4 0.0 2.3 0.0 6.8 10.3 25.7 355.11991 139.6 97.7 300.2 108.5 0.0 26.2 1.0 0.0 2.0 39.0 22.2 57.4 793.81992 224.4 27.4 3.0 30.5 0.0 0.0 0.0 2.0 0.0 21.2 37.2 57.2 402.91993 298.6 22.1 158.6 6.0 0.0 4.0 0.0 58.1 0.0 39.3 53.4 202.3 842.41994 234.9 185.2 88.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.1 101.1 623.51995 117.5 105.6 158.4 11.4 0.3 0.0 0.0 0.0 0.0 5.5 13.5 50.0 462.21996 94.8 96.4 29.1 22.1 5.3 0.0 0.0 0.0 0.0 0.0 25.0 47.0 319.71997 125.0 210.1 75.8 2.2 0.0 0.2 0.0 0.9 2.7 11.7 25.5 53.5 507.61998 158.0 53.3 47.9 7.1 0.0 1.5 0.0 0.2 0.1 30.1 31.7 18.9 348.81999 58.3 274.2 111.8 26.0 0.0 0.0 0.0 1.1 1.3 35.8 0.3 36.3 545.12000 264.4 124.2 121.1 10.0 0.0 0.9 0.8 0.0 10.6 111.7 17.2 38.4 699.32001 133.4 136.5 59.5 32.0 0.0 1.2 0.0 2.4 1.9 0.4 24.2 36.8 428.32002 20.7 94.0 122.3 1.0 0.0 7.7 1.2 0.3 36.8 77.1 53.5 34.7 449.32003 48.8 37.8 92.4 21.1 0.1 2.4 0.2 0.0 0.0 19.2 13.2 14.5 249.72004 167.1 39.4 31.3 12.0 0.0 0.1 0.0 2.4 30.1 5.4 0.0 69.2 357.02005 65.7 147.3 48.5 7.0 0.0 0.0 0.4 0.0 0.0 10.7 10.1 41.7 331.42006 167.3 34.7 133.2 18.6 0.0 0.0 0.0 0.1 0.1 30.9 64.6 34.3 483.82007 95.6 48.2 36.1 2.5 4.2 1.0 0.0 0.5 107.5 4.7 38.8 26.6 365.7
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0PROM. 131.4 93.7 77.9 17.7 0.5 4.0 1.1 5.8 7.4 21.1 25.2 52.6 438.4DESVEST 88.6 65.7 49.2 22.5 1.2 15.6 3.8 12.8 17.3 26.4 23.0 31.0 153.0
MAXIMA 361.0 274.2 300.2 108.5 5.3 100.4 25.1 58.1 107.5 111.7 92.7 202.3 842.4
MINIMA 5.6 9.8 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13.8 108.1
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: COYPA COYPA
Código : 110878 País : Perú Distrito : Mazocruz Altitud (msnm) : 4450.00
AÑOMESES TOTAL
ANUAL
Cuenca : Ilave Dpto : Puno Latitud Sur : 17°01'00" Zona Geografica: 19 SurTipo : PLU Prov : El Collao Longitud Oeste : 69°56'00" Propietario : PET-Tacna
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 201.4 65.2 84.1 29.8 0.1 0.0 0.0 9.1 17.0 31.7 187.8 38.4 664.61961 161.8 188.3 89.6 20.7 0.0 0.1 0.0 0.4 0.0 7.3 5.1 20.6 493.91962 167.7 84.9 118.0 47.7 0.6 0.0 0.0 0.0 0.1 10.8 13.3 83.7 526.81963 171.4 106.7 64.7 17.1 1.6 0.0 0.0 0.0 0.4 80.2 9.7 45.9 497.71964 33.0 182.0 104.0 12.0 2.0 0.0 0.0 0.0 0.0 7.0 49.0 29.0 418.01965 103.0 105.0 39.0 10.0 0.0 0.0 0.0 1.0 7.0 19.0 3.0 67.0 354.01966 23.0 98.0 82.0 10.0 6.0 0.0 0.0 0.0 0.0 23.0 15.0 65.0 322.01967 103.0 61.0 86.0 22.0 0.0 0.0 0.0 0.0 3.0 6.0 1.0 36.0 318.01968 126.0 161.0 94.0 9.0 33.0 13.0 0.0 1.0 6.0 76.0 125.0 44.0 688.01969 129.0 77.0 25.0 3.0 0.0 2.0 0.0 0.0 1.0 8.0 37.0 97.0 379.01970 120.0 69.0 64.0 10.0 14.0 0.0 0.0 0.0 0.0 15.0 0.0 49.0 341.01971 128.0 168.0 68.0 23.0 5.0 0.0 0.0 0.0 0.0 0.0 44.0 77.0 513.01972 214.0 82.0 125.0 46.0 6.0 0.0 0.0 0.0 1.0 18.0 1.0 53.0 546.01973 172.0 81.0 74.0 7.0 7.0 0.0 0.0 12.0 4.0 1.0 6.0 59.0 423.01974 214.0 177.0 47.0 15.0 0.0 0.0 0.0 18.0 1.0 14.0 5.0 19.0 510.01975 139.0 78.0 83.0 26.0 6.0 0.0 0.0 0.0 6.0 0.0 0.0 44.0 382.01976 161.0 44.0 68.0 6.0 1.0 0.0 0.0 7.0 3.0 1.0 0.0 10.0 301.01977 32.0 185.0 70.0 8.0 0.0 0.0 0.0 0.0 5.0 19.0 47.0 65.0 431.01978 195.0 38.0 52.0 34.0 0.0 0.0 0.0 9.0 9.0 3.0 63.0 67.0 470.01979 94.0 42.0 102.0 2.0 0.0 0.0 0.0 0.0 0.0 39.0 9.0 102.0 390.01980 25.0 54.0 119.0 3.0 0.0 0.0 0.0 0.0 3.0 21.0 5.0 21.0 251.01981 70.0 208.0 80.0 43.0 4.0 0.0 0.0 30.0 5.0 9.0 4.0 86.0 539.01982 165.0 50.0 61.0 18.0 1.0 0.0 0.0 0.0 16.0 46.0 1.0 9.0 367.01983 22.0 65.0 7.0 18.0 9.0 2.0 0.0 0.0 1.0 39.0 13.0 47.0 223.01984 210.0 151.0 168.0 17.0 0.0 8.0 0.0 0.0 0.0 37.0 193.0 25.0 809.01985 157.0 89.0 115.0 45.0 1.0 2.0 0.0 0.0 4.0 0.0 115.0 109.0 637.01986 120.0 257.0 129.0 7.0 4.0 0.0 0.0 2.0 1.0 0.0 7.0 158.0 685.01987 140.0 69.0 22.0 26.0 7.0 1.0 0.0 1.0 4.0 16.0 4.0 37.0 327.01988 99.0 51.0 46.0 29.0 14.0 0.0 0.0 0.0 0.0 36.0 1.0 29.0 305.01989 96.0 83.0 91.0 59.0 7.0 5.0 0.0 0.0 0.0 1.0 1.0 6.0 349.01990 59.0 51.0 66.0 21.0 12.0 20.0 0.0 10.0 0.0 53.0 54.0 56.0 402.01991 117.0 78.0 82.0 3.0 0.0 0.0 0.0 0.0 3.0 4.0 7.0 70.0 364.01992 84.8 37.0 21.3 5.5 0.0 3.8 0.0 6.4 0.0 11.6 12.4 60.9 243.71993 161.1 34.6 71.3 13.0 4.0 0.0 0.0 43.9 3.2 47.9 14.0 103.6 496.61994 145.9 97.3 86.4 16.5 3.5 0.0 0.0 0.0 3.6 1.3 115.0 81.5 551.01995 91.8 50.3 60.7 2.2 0.0 0.0 0.0 0.0 0.0 0.5 63.5 49.5 318.51996 145.2 84.3 47.0 26.1 5.2 0.0 0.0 4.3 0.9 2.5 53.6 65.7 434.81997 206.1 94.7 73.0 15.7 4.1 0.0 0.0 6.1 13.6 20.2 79.1 64.4 577.01998 161.6 95.6 67.3 5.4 0.5 9.8 0.0 0.0 0.9 13.3 4.0 9.2 367.61999 130.4 99.9 133.6 10.9 2.5 0.1 0.0 7.0 1.6 79.1 0.9 5.6 471.62000 152.5 67.0 86.6 5.3 0.1 0.3 0.0 0.0 0.1 2.8 27.5 60.5 402.72001 203.9 143.3 88.0 26.8 3.2 1.2 0.0 8.1 16.1 28.0 35.3 22.5 576.42002 55.2 107.8 52.7 25.6 7.9 1.5 0.0 1.7 0.8 15.2 136.8 63.1 468.32003 85.5 42.2 46.9 14.5 0.8 0.0 0.0 0.0 1.4 4.5 95.9 24.6 316.32004 85.1 52.3 107.5 40.5 81.1 2.0 0.0 3.4 6.8 0.7 0.7 66.0 446.12005 111.3 200.0 28.6 17.3 26.4 0.0 0.0 0.0 0.0 4.8 35.3 150.0 573.72006 178.2 48.9 43.1 72.2 40.7 0.5 0.0 0.0 0.5 12.5 5.2 70.6 472.42007 121.4 113.7 76.3 19.1 0.1 0.0 0.0 0.0 1.7 8.4 57.4 35.4 433.5
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0PROM. 126.8 97.3 75.3 20.1 6.7 1.5 0.0 3.8 3.2 18.6 36.7 55.4 445.4DESVEST 53.7 53.7 32.5 15.6 13.8 3.8 0.0 8.2 4.5 21.1 49.2 33.9 126.4
MAXIMA 214.0 257.0 168.0 72.2 81.1 20.0 0.0 43.9 17.0 80.2 193.0 158.0 809.0
MINIMA 22.0 34.6 7.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6 223.0
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: CHICHILLAPI
Código : S/C País : Perú Distrito : Mazocruz Altitud (msnm) : 4050.00
AÑOMESES TOTAL
ANUAL
Cuenca : Ilave Dpto : Puno Latitud Sur : 16°55'00" Zona Geografica: 19 SurTipo : PLU Prov : El Collao Longitud Oeste : 69°44'00" Propietario : PET-Tacna
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 181.2 93.7 32.7 29.5 0.0 0.0 0.0 13.2 34.7 43.4 48.2 26.9 503.51961 188.3 194.4 164.6 19.4 0.0 0.2 0.0 0.5 0.6 5.4 0.0 47.9 621.31962 185.0 157.5 166.3 77.3 3.0 0.0 0.0 0.0 14.1 3.1 87.8 63.8 757.91963 218.4 156.8 80.2 12.0 0.0 0.0 0.0 0.0 2.4 63.8 63.1 44.6 641.31964 48.2 118.4 107.6 10.6 20.2 0.0 0.0 2.0 12.0 2.6 25.6 69.2 416.41965 94.8 74.6 35.6 34.2 0.0 0.0 0.0 5.6 11.6 3.0 10.6 68.6 338.61966 26.6 81.4 40.8 10.0 28.4 0.0 0.0 0.0 0.0 23.8 63.3 99.8 374.11967 23.8 81.0 101.0 13.2 5.8 0.0 3.0 0.0 33.4 2.8 7.0 73.2 344.21968 154.7 125.6 103.2 7.0 33.6 5.8 0.0 0.0 7.0 50.6 158.6 73.0 719.11969 204.4 49.0 17.8 2.6 0.0 5.0 0.8 0.0 2.0 14.2 33.2 84.2 413.21970 120.0 96.5 103.0 11.8 0.0 0.0 0.0 0.0 0.8 9.0 14.8 129.7 485.61971 202.4 184.4 34.5 4.0 0.0 0.0 0.0 0.0 0.0 0.0 34.0 141.0 600.31972 229.2 114.4 179.2 3.2 0.0 0.0 0.0 0.0 9.2 21.4 45.4 100.0 702.01973 175.0 140.0 103.4 87.4 11.4 1.2 0.0 10.2 35.2 0.0 22.4 35.5 621.71974 341.8 173.3 84.2 19.8 0.0 0.0 0.0 79.8 0.0 1.0 19.8 53.0 772.71975 107.8 186.5 113.0 11.8 0.0 0.0 0.0 0.0 0.0 7.6 5.0 110.8 542.51976 184.8 89.6 83.6 0.0 1.8 0.0 0.0 45.4 0.0 0.0 0.0 43.6 448.81977 57.4 193.2 73.8 2.8 1.2 0.0 0.0 0.0 21.2 22.8 94.9 85.5 552.81978 209.7 48.9 68.4 47.8 0.0 0.0 0.0 0.0 1.4 2.7 94.5 74.8 548.21979 150.0 8.1 133.1 0.0 0.0 0.0 0.0 0.0 0.0 34.3 6.0 114.0 445.51980 55.1 83.9 141.1 0.4 0.0 0.0 0.0 0.1 43.3 15.0 1.6 49.1 389.61981 149.0 313.5 144.2 36.7 8.2 0.0 0.0 27.0 0.0 4.0 13.0 111.0 806.61982 174.0 58.0 114.0 15.6 2.7 0.0 6.4 0.0 17.7 70.0 47.0 14.0 519.41983 31.4 49.2 6.5 40.8 5.6 0.0 0.0 0.4 15.8 9.9 0.2 16.6 176.41984 241.5 314.0 238.0 0.0 0.0 3.6 0.0 0.0 0.0 59.2 117.0 25.8 999.11985 120.8 218.1 54.8 60.1 3.3 11.0 0.0 3.7 24.4 0.0 82.3 144.4 722.91986 154.5 313.2 221.8 12.6 0.0 0.0 2.8 3.5 0.0 0.0 13.9 138.6 860.91987 176.3 15.4 19.4 1.5 0.0 8.6 23.4 0.0 0.0 26.8 28.4 22.4 322.21988 80.4 39.9 36.0 69.9 12.6 0.0 0.0 0.0 0.0 9.3 0.0 45.0 293.11989 135.3 257.9 262.5 34.1 0.0 0.0 0.0 0.0 0.0 0.2 0.0 2.5 692.51990 56.3 35.7 44.8 2.5 16.9 27.4 19.6 16.9 2.2 43.7 4.1 32.4 302.51991 78.7 77.3 167.0 11.3 0.3 0.2 1.9 0.0 0.0 18.5 0.0 0.0 355.21992 53.9 45.6 1.6 4.2 0.0 0.0 0.0 8.2 0.6 32.3 23.8 35.5 205.71993 147.3 15.6 97.2 19.4 2.1 0.0 0.0 44.6 13.0 50.7 46.1 94.2 530.21994 105.0 120.4 63.1 28.1 0.3 0.2 1.8 1.7 4.1 3.4 19.0 84.4 431.51995 73.6 49.9 90.5 11.4 0.3 0.0 0.0 0.0 3.6 2.5 21.6 53.4 306.81996 177.0 88.2 29.0 19.5 13.6 0.0 0.0 14.2 0.0 1.0 34.1 102.3 478.91997 241.7 183.5 60.9 13.3 5.0 0.0 0.0 32.2 41.8 8.0 63.1 81.5 731.01998 126.8 44.2 77.0 14.2 0.0 18.6 0.0 0.6 0.4 11.6 38.1 20.8 352.31999 139.6 177.5 212.8 64.2 1.6 0.0 0.0 0.0 8.4 35.2 0.0 45.8 685.12000 179.5 135.8 64.1 22.9 6.4 1.2 0.0 1.2 0.6 28.3 7.9 82.2 530.12001 267.5 184.1 116.3 33.6 4.8 0.6 0.0 6.4 0.2 13.8 14.4 27.0 668.72002 70.4 175.4 120.3 75.6 17.0 9.2 10.0 2.2 2.0 51.1 36.8 81.1 651.12003 103.3 103.7 92.8 5.8 8.0 0.0 2.2 7.5 7.0 11.8 10.6 75.9 428.62004 142.8 118.8 64.4 16.2 0.0 0.8 26.2 59.6 12.1 0.0 0.0 41.9 482.82005 109.2 187.5 40.0 42.8 0.0 0.0 0.0 0.0 18.2 6.6 18.0 158.3 580.62006 271.5 118.1 109.5 26.9 11.4 0.2 0.0 0.4 5.0 37.7 57.2 94.2 732.12007 87.4 113.4 107.0 29.4 0.0 0.4 0.0 0.2 10.8 3.1 49.2 87.8 488.7
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0PROM. 142.8 125.1 96.3 23.3 4.7 2.0 2.0 8.1 8.7 18.0 33.0 68.9 532.8DESVEST 71.3 77.1 60.6 22.6 7.7 5.2 5.8 17.0 12.0 19.6 34.8 39.1 178.7
MAXIMA 341.8 314.0 262.5 87.4 33.6 27.4 26.2 79.8 43.3 70.0 158.6 158.3 999.1
MINIMA 23.8 8.1 1.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.4
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: MAZOCRUZ
Código : 110878 País : Perú Distrito : Mazocruz Altitud (msnm) : 4003.00
AÑOMESES TOTAL
ANUAL
Cuenca : Ilave Dpto : Puno Latitud Sur : 16°44'24.4" Zona Geografica : 19 SurTipo : CO Prov : El Collao Longitud Oeste : 69°42'21.9" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 272.4 170.2 26.5 47.2 1.5 2.9 0.8 1.2 12.4 8.4 75.6 128.6 747.71961 208.0 144.1 90.8 99.2 0.6 0.4 0.0 2.8 81.7 19.6 10.1 94.1 751.41962 36.7 72.9 84.1 70.0 0.0 0.0 3.9 0.0 8.8 93.1 68.9 166.9 605.31963 250.4 229.2 75.0 5.0 0.0 0.0 0.0 0.1 4.1 3.5 4.1 75.2 646.61964 7.0 109.3 82.6 12.1 11.2 0.0 0.0 25.5 1.0 0.0 0.0 52.5 301.21965 42.2 56.2 63.4 1.0 0.0 0.0 0.0 3.2 20.3 0.0 6.8 73.2 266.31966 0.0 8.8 112.6 31.6 0.1 0.0 0.0 0.0 0.0 9.3 38.6 121.2 322.21967 61.6 76.2 130.1 11.3 0.0 0.0 0.0 0.0 32.4 20.2 7.0 104.5 443.31968 141.5 154.9 74.8 3.0 30.8 19.8 0.0 0.0 6.1 44.7 146.0 24.0 645.61969 120.6 71.7 38.3 12.8 0.0 2.8 0.1 0.0 0.1 0.1 30.3 103.3 380.11970 120.2 104.0 123.6 28.5 22.4 0.0 0.0 0.1 0.3 11.0 29.2 169.4 608.71971 195.5 328.6 124.5 27.8 0.0 0.0 0.0 18.4 0.0 0.0 68.4 179.5 942.71972 239.0 132.0 138.5 28.0 4.4 0.0 6.4 0.0 33.7 27.0 53.8 180.0 842.81973 206.1 148.7 98.8 80.9 23.2 4.1 1.8 35.0 14.6 20.0 27.1 101.2 761.51974 371.1 380.6 83.8 14.6 1.6 1.4 0.0 107.2 13.2 7.8 49.0 65.2 1095.51975 181.2 268.7 62.2 22.6 3.6 8.6 0.0 3.5 6.1 33.6 7.1 124.4 721.61976 269.2 73.0 27.2 10.4 1.4 0.0 6.2 9.6 36.8 0.0 0.0 35.2 469.01977 87.8 156.9 95.0 2.7 3.8 0.0 0.0 0.0 8.3 1.6 69.6 109.6 535.31978 183.2 101.4 41.6 53.4 0.0 0.0 2.6 2.8 2.8 1.6 66.3 77.9 533.61979 247.2 47.7 70.0 6.4 6.4 0.0 1.6 0.0 1.4 10.2 10.0 133.0 533.91980 59.2 34.2 136.3 6.5 0.0 0.7 0.0 26.4 194.9 76.9 13.9 83.2 632.21981 274.1 158.2 50.3 68.2 1.2 0.0 0.0 0.7 32.5 16.2 2.8 146.7 750.91982 256.6 43.8 105.2 62.0 10.7 0.1 0.1 0.0 4.1 67.3 4.1 9.4 563.41983 9.9 31.3 57.3 0.9 0.0 0.3 0.0 58.2 1.7 1.5 70.6 170.8 402.51984 275.6 380.1 113.3 24.9 1.2 4.1 0.0 2.1 0.0 30.9 109.5 69.0 1010.71985 101.8 56.5 92.2 64.3 0.0 2.7 0.3 0.6 18.6 0.1 19.8 167.8 524.71986 179.8 265.7 222.6 130.2 4.2 0.0 2.2 2.6 0.3 2.7 32.9 242.2 1085.41987 359.3 113.4 68.4 9.4 0.8 0.4 29.5 0.6 2.6 30.2 60.0 34.8 709.41988 280.8 69.5 211.0 134.4 14.9 2.4 0.0 0.0 8.3 10.6 20.8 215.0 967.71989 169.8 135.4 205.0 79.8 13.4 1.7 7.8 0.0 3.0 1.3 3.0 17.8 638.01990 38.1 39.3 27.7 7.9 0.0 32.9 0.0 0.0 4.5 43.5 67.2 118.3 379.41991 99.7 86.1 204.6 54.2 0.0 38.7 0.0 0.0 0.0 4.8 37.8 59.8 585.71992 169.2 68.2 17.1 8.2 0.0 0.0 0.0 20.2 0.0 67.0 32.1 25.8 407.81993 127.5 21.8 62.4 9.3 5.0 0.0 0.0 56.9 0.0 46.4 38.9 166.4 534.61994 267.9 214.6 39.6 8.7 0.0 0.0 0.0 0.0 0.0 0.0 56.5 242.2 829.51995 129.8 47.4 102.7 0.0 1.6 0.0 0.0 0.0 14.8 4.4 12.5 89.7 402.91996 162.2 75.4 41.7 25.8 3.4 0.0 0.0 23.4 0.0 5.2 44.6 138.9 520.61997 226.4 201.4 96.4 24.1 0.0 0.0 0.0 41.4 32.3 8.1 57.6 31.6 719.31998 96.0 96.0 29.9 9.7 0.0 34.7 0.0 0.0 0.0 2.2 53.9 0.0 322.41999 90.9 177.8 151.4 65.1 3.4 0.0 0.0 0.0 23.6 22.2 0.0 42.4 576.82000 208.6 99.4 95.8 6.2 1.5 0.7 0.0 9.6 2.0 24.6 0.0 90.2 538.62001 317.3 226.5 92.1 16.5 0.0 4.6 0.4 5.6 1.8 10.7 22.7 37.9 736.12002 85.7 129.5 130.0 51.8 22.5 12.8 15.4 1.3 0.4 18.4 46.3 40.9 555.02003 127.7 143.6 143.5 9.2 4.6 0.0 5.3 5.8 2.7 3.7 2.8 94.1 543.02004 139.4 162.3 64.7 0.0 0.0 0.0 46.6 46.8 0.0 1.8 9.1 18.3 489.02005 123.6 259.1 68.8 24.8 0.0 0.0 0.0 0.0 43.0 27.8 21.0 175.9 744.02006 257.6 81.8 57.8 18.3 2.0 0.0 0.0 0.9 2.1 26.3 9.8 125.1 581.72007 150.1 37.1 147.9 30.0 0.0 0.0 0.0 0.9 7.5 17.0 32.9 84.1 507.5
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 167.2 131.1 93.3 31.6 4.2 3.7 2.7 10.7 14.3 18.4 34.4 101.2 612.8
DESVEST 93.3 90.4 50.3 33.1 7.3 9.1 8.2 21.0 30.9 21.9 31.2 61.6 198.8
MAXIMA 371.1 380.6 222.6 134.4 30.8 38.7 46.6 107.2 194.9 93.1 146.0 242.2 1095.5
MINIMA 0.0 8.8 17.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 266.3
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: PIZACOMA
Código : 116029 País : Perú Distrito : Pizacoma Altitud (msnm) : 4060.00
AÑOMESES TOTAL
ANUAL
Cuenca: Alto Desaguadero Dpto : Puno Latitud Sur : 16°54'25.3" Zona Geografica : 19 SurTipo : CO Prov : Chucuito Longitud Oeste : 69°22'06.8" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 181.0 113.6 32.3 49.1 9.5 0.3 0.2 3.8 80.0 4.3 55.2 39.0 568.31961 159.4 132.4 133.6 20.4 3.6 0.2 0.0 0.4 26.5 19.6 7.8 129.4 633.31962 122.1 79.6 70.6 29.1 12.5 0.0 71.3 1.8 3.5 91.5 133.3 148.5 763.81963 100.5 116.4 81.2 29.7 3.3 1.7 0.7 0.0 9.2 17.2 4.4 98.4 462.71964 75.7 75.4 132.2 16.6 18.7 0.0 0.0 4.2 15.8 11.0 45.5 93.2 488.31965 118.7 67.3 33.6 17.5 1.2 5.2 5.4 3.1 29.7 7.4 10.4 146.7 446.21966 33.4 91.8 61.8 9.8 40.5 0.0 0.0 0.0 0.8 17.3 67.4 47.0 369.81967 102.0 127.2 173.2 32.3 8.2 0.0 5.3 0.0 46.5 40.2 11.0 155.8 701.71968 136.7 91.6 137.1 20.2 35.9 0.0 0.0 0.0 1.8 44.0 102.1 76.0 645.41969 110.9 70.8 12.1 0.0 2.0 0.0 0.0 0.0 4.4 14.2 47.4 53.2 315.01970 141.6 122.3 137.0 35.7 10.0 0.0 0.0 0.0 8.2 31.2 21.2 149.5 656.71971 156.1 198.1 93.2 33.1 3.4 1.4 0.0 0.0 0.0 7.1 39.2 127.3 658.91972 241.5 208.1 147.6 2.5 0.0 0.0 1.6 0.0 12.8 26.6 65.2 84.4 790.31973 209.6 136.3 149.4 58.8 14.1 0.0 2.0 9.6 15.2 0.0 5.4 21.9 622.31974 235.8 227.7 48.7 17.9 0.0 0.0 0.0 72.0 0.0 0.0 0.0 39.2 641.31975 160.0 229.1 141.1 0.0 20.0 0.0 0.0 0.0 0.8 3.0 16.9 154.4 725.31976 267.2 160.2 81.8 13.8 3.5 0.0 6.5 29.6 13.5 0.0 1.8 67.0 644.91977 50.1 198.2 147.9 13.8 6.8 0.0 0.0 0.0 21.8 21.2 89.8 90.8 640.41978 231.8 52.7 77.2 38.1 0.0 0.0 11.8 10.4 5.9 5.9 80.5 90.2 604.51979 161.1 89.9 93.2 22.6 0.0 0.0 9.3 4.8 0.0 19.9 0.7 72.6 474.11980 37.8 41.9 154.2 0.0 0.0 0.0 0.0 2.0 24.8 65.4 16.3 44.7 387.11981 187.5 184.9 65.8 13.0 0.0 0.0 0.0 37.5 14.1 33.3 22.2 80.2 638.51982 238.1 58.1 135.1 44.4 8.3 2.2 0.0 0.0 61.8 93.6 82.4 36.1 760.11983 33.8 25.7 4.0 5.5 0.0 3.1 0.0 5.8 17.5 0.0 31.4 124.7 251.51984 420.7 273.1 120.1 0.0 0.0 0.0 0.0 0.0 0.0 135.4 158.3 92.1 1199.71985 170.8 302.2 115.2 87.7 19.3 23.4 0.0 15.1 29.1 12.7 89.1 163.0 1027.61986 145.5 141.0 202.4 103.0 10.2 0.0 9.0 10.6 3.4 5.2 52.4 169.9 852.61987 208.7 26.6 25.2 15.6 0.0 3.5 24.5 0.0 12.7 60.3 61.9 18.2 457.21988 212.1 45.7 148.7 94.3 7.9 0.0 0.0 0.0 37.0 0.0 0.0 68.5 614.21989 135.1 89.1 124.9 32.5 18.7 7.7 8.1 14.1 11.5 5.2 22.3 31.8 501.01990 150.8 25.5 38.8 40.5 12.5 30.6 0.0 21.4 7.7 74.6 79.2 108.2 589.81991 89.6 63.6 122.9 44.3 0.6 0.2 6.8 3.2 21.4 40.6 17.3 57.9 468.41992 137.5 45.2 18.6 20.1 1.6 4.6 4.5 59.7 0.8 72.3 47.1 89.6 501.61993 95.3 106.8 173.1 55.9 13.1 1.4 0.0 39.7 21.1 80.0 75.2 97.6 759.21994 134.8 188.0 131.4 72.5 13.8 0.9 3.1 1.7 4.7 37.6 81.7 126.9 797.11995 98.3 118.7 105.4 14.6 7.5 2.2 0.0 1.9 18.0 21.4 42.5 109.7 540.21996 198.3 129.9 65.3 51.8 0.0 0.0 0.0 20.0 5.3 11.5 67.1 110.2 659.41997 180.2 174.1 96.6 37.9 0.0 0.0 0.0 47.0 66.5 33.0 91.2 81.0 807.51998 131.4 103.3 44.0 13.3 0.0 24.6 0.0 0.6 1.3 15.2 58.0 24.0 415.71999 110.8 232.8 259.6 69.1 6.2 1.8 0.0 0.0 7.6 69.4 11.5 112.3 881.12000 300.1 174.9 86.7 21.7 7.6 3.3 0.0 16.1 3.9 58.1 5.7 82.1 760.22001 343.5 208.5 174.2 27.1 3.1 0.0 6.0 19.7 2.0 42.2 23.9 42.1 892.32002 87.9 202.3 122.1 63.9 22.8 10.7 24.1 11.2 6.1 57.7 61.3 109.7 779.82003 136.8 157.9 152.3 6.2 8.0 0.0 4.6 16.6 18.7 11.8 8.2 108.3 629.42004 225.0 161.1 77.3 15.7 0.0 5.3 42.5 64.4 20.7 0.0 16.2 86.8 715.02005 83.4 164.0 58.2 23.7 0.0 0.0 0.0 0.0 46.3 40.4 60.0 191.7 667.72006 238.2 123.9 124.0 52.4 2.8 1.6 0.0 7.8 20.4 35.5 55.9 63.6 726.12007 56.4 38.9 125.4 13.7 7.0 0.5 0.0 0.0 41.3 16.2 11.0 83.5 393.9
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 158.0 129.1 105.3 31.3 7.6 2.8 5.2 11.6 17.1 31.5 44.9 91.6 636.0
DESVEST 79.5 68.5 53.5 25.1 9.1 6.5 12.6 18.1 18.4 30.4 37.0 42.6 181.9
MAXIMA 420.7 302.2 259.6 103.0 40.5 30.6 71.3 72.0 80.0 135.4 158.3 191.7 1199.7
MINIMA 33.4 25.5 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18.2 251.5
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: CHILLIGUA
Código : 116056 País : Perú Distrito : Juli Altitud (msnm) : 3960.00
AÑOMESES TOTAL
ANUAL
Cuenca : Ilave Dpto : Puno Latitud Sur : 16º32'25.4" Zona Geografica : 19 SurTipo : PLU Prov : Chucuito Longitud Oeste : 69º40'11.5" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 199.7 162.7 39.1 40.5 10.3 1.9 1.6 9.5 5.9 16.5 96.6 50.5 634.81961 179.2 124.6 124.6 40.5 0.5 1.0 0.0 3.8 33.2 9.3 32.2 61.2 610.11962 83.9 93.7 103.8 49.7 1.4 0.0 11.8 2.0 56.1 50.5 111.3 193.4 757.61963 210.9 143.3 70.4 34.9 4.7 0.0 0.3 2.3 42.0 13.9 11.5 143.6 677.81964 136.3 83.3 108.4 8.8 0.6 0.0 0.1 6.0 8.4 11.1 3.5 85.9 452.41965 216.8 72.3 66.3 6.8 0.7 0.1 0.2 1.0 45.1 11.9 10.4 115.8 547.41966 161.6 37.7 70.6 12.2 64.4 0.0 0.0 0.2 1.8 32.9 61.2 106.3 548.91967 101.6 94.6 130.2 36.7 0.0 0.2 0.1 4.5 83.3 45.0 9.5 92.9 598.61968 89.5 99.9 75.7 16.7 14.4 20.1 0.0 2.6 13.8 28.5 132.6 85.6 579.41969 168.7 69.7 42.5 13.1 3.1 0.8 0.1 1.2 3.3 17.4 37.9 91.9 449.71970 169.7 117.5 123.4 16.1 2.7 0.0 0.0 0.5 18.6 29.0 8.5 150.9 636.91971 326.6 214.1 71.2 14.6 0.3 0.0 0.0 2.2 5.7 6.0 43.8 203.5 888.01972 442.7 133.8 112.2 11.8 0.0 0.0 1.9 0.2 23.1 16.2 61.2 120.5 923.61973 190.6 150.3 57.7 56.6 1.1 30.6 2.4 38.1 29.9 8.6 11.2 56.6 633.71974 73.4 317.8 59.8 63.4 0.6 0.7 0.0 17.8 18.2 13.8 10.1 16.1 591.71975 28.0 253.3 63.6 9.2 60.9 2.6 0.0 0.5 56.4 36.3 10.8 132.1 653.71976 411.4 110.8 98.5 12.2 5.3 0.0 5.1 101.8 44.7 11.2 0.2 84.9 886.11977 46.2 127.2 176.6 2.5 1.4 0.0 0.0 0.1 13.2 49.5 76.9 63.1 556.71978 101.2 155.5 115.5 20.6 0.2 0.0 5.8 7.5 3.9 10.2 78.1 83.8 582.31979 89.3 105.4 161.8 22.7 0.7 0.0 6.5 3.0 20.1 20.5 20.5 87.8 538.31980 98.6 67.1 178.2 9.5 4.4 0.5 0.0 31.7 27.5 26.5 29.9 63.2 537.11981 144.7 129.1 27.3 22.2 1.6 0.0 0.0 14.6 7.4 50.1 14.6 141.5 553.11982 144.5 108.5 149.2 55.5 0.0 0.5 0.1 0.0 13.1 53.7 59.6 81.2 665.91983 79.0 37.8 27.1 14.9 0.3 2.1 0.0 6.3 10.2 0.5 28.3 96.1 302.61984 320.0 403.6 147.7 38.6 1.6 4.7 0.0 1.7 4.9 48.8 113.5 82.9 1168.01985 201.9 209.0 76.0 39.8 9.9 20.1 0.5 7.9 18.3 35.4 50.9 168.1 837.81986 241.3 296.5 299.3 81.6 16.4 0.0 16.4 14.0 11.1 16.3 26.2 239.9 1259.01987 340.3 96.0 56.1 11.1 3.2 11.4 33.2 12.2 21.5 48.6 116.3 61.0 810.91988 145.4 76.0 208.6 86.6 7.4 5.6 0.0 0.0 38.2 10.4 11.8 99.8 689.81989 132.0 86.6 88.6 38.6 0.0 7.2 5.4 0.4 4.8 15.4 32.4 15.4 426.81990 187.8 56.0 46.2 38.4 8.6 49.2 0.0 28.4 3.2 64.4 63.8 75.0 621.01991 137.3 143.2 232.1 45.7 8.2 43.8 0.0 0.0 0.0 33.6 23.6 79.1 746.61992 126.0 63.9 7.4 12.8 2.2 0.0 1.8 17.6 7.0 16.8 56.2 98.0 409.71993 193.9 51.1 75.9 15.3 6.5 0.0 0.0 24.7 3.8 53.6 69.5 146.5 640.81994 128.8 190.9 33.6 21.8 19.7 0.5 0.5 0.3 0.2 9.6 28.9 217.3 652.11995 114.3 101.9 67.5 13.1 3.1 0.0 0.0 4.4 22.5 27.7 16.5 84.3 455.31996 174.8 134.8 77.4 15.8 0.4 0.0 0.1 11.4 0.2 11.6 73.9 160.3 660.71997 180.7 223.6 102.9 31.1 0.0 0.0 0.0 39.2 74.4 10.3 89.7 69.2 821.11998 124.7 94.4 65.8 41.0 0.0 15.6 0.0 0.0 1.4 34.4 99.7 11.6 488.61999 45.3 132.7 134.9 60.1 10.6 0.0 0.0 0.0 20.4 71.0 3.2 97.6 575.82000 228.4 128.0 98.7 6.1 0.0 0.0 0.0 6.9 11.3 34.0 5.8 83.7 602.92001 288.0 202.0 118.8 24.5 0.3 3.4 1.0 4.4 18.9 39.5 30.0 28.2 759.02002 80.1 168.9 96.7 44.5 6.8 6.7 23.6 8.0 2.8 37.6 55.5 83.8 615.02003 255.8 99.0 127.9 21.2 2.4 0.0 7.5 16.8 4.8 12.8 2.4 43.0 593.62004 181.0 187.9 31.4 10.1 0.0 0.0 37.1 39.6 10.7 0.4 0.0 41.2 539.42005 97.6 187.2 36.2 19.6 0.0 0.0 0.0 0.0 32.8 51.8 69.8 128.0 623.02006 258.2 112.0 105.6 42.8 0.0 0.0 0.0 5.5 6.4 16.2 37.1 82.9 666.72007 92.6 69.6 179.9 36.0 9.7 0.0 0.0 0.0 48.2 22.1 42.5 138.2 638.8
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 170.2 135.9 99.4 28.9 6.2 4.8 3.4 10.4 19.8 26.9 43.3 98.8 648.1
DESVEST 91.2 74.0 58.0 19.8 12.8 10.9 8.1 17.4 19.8 17.8 35.7 51.0 174.6
MAXIMA 442.7 403.6 299.3 86.6 64.4 49.2 37.1 101.8 83.3 71.0 132.6 239.9 1259.0
MINIMA 28.0 37.7 7.4 2.5 0.0 0.0 0.0 0.0 0.0 0.4 0.0 11.6 302.6
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: YOROHOCO
Código : S/C País : Perú Distrito : Huacullani Altitud (msnm) : 3845.00
AÑOMESES TOTAL
ANUAL
Cuenca: Alto DesaguaderoDpto : Puno Latitud Sur : 16°33'54'' Zona Geografica: 19 SurTipo : CO Prov : Chucuito Longitud Oeste : 69°19'14'' Propietario : PELT
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 237.0 119.5 24.0 46.0 9.0 23.0 13.0 16.2 87.0 32.0 109.8 13.2 729.71961 137.8 226.1 148.5 40.9 33.1 1.7 0.0 29.0 44.2 12.6 72.9 96.2 843.01962 91.0 85.7 120.4 89.0 35.9 0.3 12.7 0.0 61.2 54.5 32.7 356.8 940.21963 306.4 197.4 144.5 51.4 4.1 0.0 4.5 0.0 36.0 69.5 33.6 165.7 1013.11964 115.4 120.8 176.4 7.9 0.4 0.4 35.3 8.1 14.9 10.1 41.0 56.3 587.01965 170.0 99.1 84.0 8.0 3.4 0.0 4.0 0.0 46.2 16.8 74.5 205.3 711.31966 64.8 90.0 52.7 27.5 24.8 0.0 0.0 0.0 13.0 58.9 66.9 98.6 497.21967 68.0 172.1 191.7 68.2 17.2 0.0 0.7 1.7 44.9 30.3 5.7 172.1 772.61968 134.3 272.0 193.8 27.0 45.1 30.7 1.0 2.0 30.6 3.5 104.9 51.1 896.01969 172.1 164.0 86.9 31.8 0.0 7.0 1.8 9.1 22.4 23.1 17.3 98.4 633.91970 148.5 195.9 186.3 44.5 8.3 0.2 3.5 0.0 30.7 34.0 24.4 177.5 853.81971 166.8 345.9 71.0 74.9 3.8 2.3 0.0 11.5 0.0 29.5 98.9 134.9 939.51972 288.9 221.0 169.2 17.8 0.0 2.7 15.4 0.2 26.9 13.4 50.0 148.5 954.01973 271.4 189.8 150.1 109.2 12.9 0.0 8.1 17.1 44.6 45.4 30.9 68.6 948.11974 269.0 357.9 60.3 193.2 3.0 4.2 0.2 101.2 22.5 32.6 29.4 38.9 1112.41975 184.3 266.3 155.8 16.6 55.5 9.7 0.0 9.7 36.0 95.9 35.7 280.1 1145.61976 331.2 201.2 136.3 21.0 44.0 1.0 2.4 43.6 63.4 9.5 5.9 51.1 910.61977 91.9 275.2 222.5 5.4 0.0 0.0 14.5 0.0 57.6 66.4 162.8 114.9 1011.21978 250.9 99.2 117.5 19.7 0.0 0.0 4.0 8.7 22.9 0.9 88.0 146.4 758.21979 197.2 117.3 229.6 80.7 2.2 0.0 14.1 2.2 4.1 47.1 115.5 133.7 943.71980 190.3 91.4 253.2 3.4 2.4 1.4 11.9 33.7 101.0 49.2 26.2 64.0 828.11981 227.2 154.8 71.5 48.0 5.7 0.5 3.2 38.6 21.5 81.3 26.5 96.4 775.21982 316.6 145.6 238.0 104.4 1.6 3.0 0.1 0.8 63.1 75.7 106.1 82.9 1137.91983 57.1 95.3 54.1 38.0 6.8 3.2 1.2 17.2 54.8 1.4 65.5 102.6 497.21984 558.7 264.7 150.4 39.6 11.9 5.9 2.9 1.7 1.2 27.5 67.8 134.8 1267.11985 128.8 249.2 162.6 91.6 38.1 26.8 0.0 22.3 89.7 13.3 164.2 163.3 1149.91986 131.5 260.4 171.7 106.2 4.3 0.0 3.6 37.3 14.0 29.8 33.4 139.5 931.71987 296.3 70.3 82.6 37.3 5.5 8.7 19.2 1.3 18.6 64.2 155.4 43.7 803.11988 300.3 70.4 249.6 124.0 9.0 0.2 1.0 0.0 22.6 59.3 27.3 96.2 959.91989 160.2 170.5 195.1 111.3 16.4 3.8 6.3 13.3 18.1 3.7 25.6 58.4 782.71990 199.0 50.8 51.4 47.7 13.6 37.3 0.0 18.9 19.9 69.3 64.3 173.7 745.91991 147.1 101.8 152.8 70.8 10.1 31.5 3.8 0.6 11.8 49.8 30.9 74.0 685.01992 159.3 130.9 40.2 32.8 0.0 0.7 3.7 40.9 0.0 24.0 72.6 60.7 565.81993 219.6 88.2 185.2 30.8 7.6 2.9 0.0 35.1 21.1 73.0 122.0 69.8 855.31994 186.5 149.1 109.5 55.4 11.7 0.0 1.6 0.8 7.1 14.3 69.2 165.3 770.51995 128.9 105.9 134.5 19.9 6.1 0.0 0.6 7.2 17.8 26.7 71.6 117.2 636.41996 195.5 127.0 137.7 32.3 18.8 0.0 9.1 38.0 4.5 26.6 77.2 101.6 768.31997 264.1 220.8 162.3 66.1 11.1 0.0 0.0 64.0 79.7 36.2 79.2 54.0 1037.51998 132.4 77.3 150.6 62.0 0.0 13.6 0.0 0.0 12.3 75.4 66.0 51.3 640.91999 158.7 278.2 309.8 61.5 28.4 2.2 3.1 1.9 58.1 130.3 18.5 94.0 1144.72000 275.3 236.3 138.4 16.7 10.9 14.3 0.6 17.0 1.2 62.2 1.9 119.5 894.32001 324.0 251.9 239.6 57.4 7.9 1.9 12.7 30.9 18.8 67.7 13.8 116.2 1142.82002 145.8 216.8 239.1 134.2 8.6 16.5 42.4 10.9 3.7 39.4 37.4 107.1 1001.92003 229.7 142.7 304.8 39.3 23.4 0.0 5.9 12.6 42.6 24.6 25.6 89.6 940.82004 322.0 115.8 68.4 54.9 11.6 2.0 34.0 49.9 25.3 11.1 25.7 126.3 847.02005 139.1 189.2 78.7 29.5 1.5 0.0 0.0 1.0 24.7 61.2 54.0 164.2 743.12006 347.2 196.8 174.1 44.6 7.1 3.3 0.0 2.3 13.9 43.5 113.6 93.9 1040.32007 99.1 136.4 231.3 99.6 6.6 1.2 8.3 5.1 30.4 44.4 30.3 156.9 849.6
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 202.9 170.9 151.2 55.0 12.3 5.5 6.5 15.9 31.4 41.1 59.8 115.1 867.6
DESVEST 94.6 75.5 69.7 38.9 13.4 9.4 9.6 20.5 25.0 27.7 41.6 61.9 181.4
MAXIMA 558.7 357.9 309.8 193.2 55.5 37.3 42.4 101.2 101.0 130.3 164.2 356.8 1267.1
MINIMA 57.1 50.8 24.0 3.4 0.0 0.0 0.0 0.0 0.0 0.9 1.9 13.2 497.2
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: JULI
Código : 110880 País : Perú Distrito : Juli Altitud (msnm) : 3812.00
AÑOMESES TOTAL
ANUAL
Cuenca : Titicaca Dpto : Puno Latitud Sur : 16°12'13.6" Zona Geografica: 19 SurTipo : CO Prov : Chucuito Longitud Oeste : 69°27'35.7" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 238.8 105.0 35.5 36.3 17.2 0.6 5.7 28.7 86.4 31.0 98.4 2.2 685.81961 101.1 167.1 152.7 45.3 11.4 1.9 0.0 42.5 30.5 73.7 119.6 125.4 871.21962 221.7 104.5 27.2 21.3 5.2 0.7 0.1 1.1 46.7 72.1 8.0 113.1 621.71963 247.6 193.2 77.2 48.5 1.3 0.0 1.6 14.5 41.1 20.5 56.9 65.1 767.51964 69.0 128.3 101.5 36.0 16.0 0.0 0.0 8.5 39.5 13.5 75.5 4.4 492.21965 10.6 21.8 21.7 6.4 0.8 0.0 0.0 0.0 50.8 14.0 10.5 106.5 243.11966 56.0 86.5 23.0 21.0 52.4 0.0 0.3 0.4 5.6 30.2 63.3 101.3 440.01967 110.0 79.6 105.8 12.7 13.3 0.0 0.0 0.0 39.8 36.7 14.8 112.2 524.91968 100.4 161.3 134.9 36.0 31.3 19.9 4.2 1.0 16.1 23.6 139.0 51.7 719.41969 233.4 87.4 36.8 6.1 0.0 0.4 5.5 6.0 22.3 28.0 21.3 39.9 487.11970 127.9 143.3 177.7 57.7 17.4 2.4 3.7 0.0 51.5 25.9 24.1 120.9 752.51971 117.8 217.3 42.5 47.2 1.8 10.1 0.1 20.3 0.0 18.4 72.2 110.5 658.21972 227.2 120.2 85.9 21.7 0.0 0.0 6.4 4.5 27.7 15.7 28.6 122.4 660.31973 269.3 142.8 163.9 83.5 12.2 0.0 9.9 20.1 40.6 29.1 23.4 47.9 842.71974 211.0 288.8 60.0 49.0 0.0 4.0 0.0 107.1 10.0 35.0 15.0 67.0 846.91975 162.0 191.1 105.0 23.0 37.0 27.0 0.0 10.0 41.0 62.0 9.0 202.0 869.11976 241.0 157.0 101.0 25.0 11.8 3.0 1.0 47.0 68.0 4.0 6.0 78.0 742.81977 87.0 156.0 232.0 4.0 1.3 0.0 15.6 2.8 58.4 39.4 104.8 76.9 778.21978 211.0 120.0 81.4 23.0 0.0 0.0 5.1 11.4 28.6 7.9 124.6 38.3 651.31979 199.4 80.3 84.0 11.2 0.8 0.2 0.9 29.5 15.3 43.3 41.2 67.7 573.81980 116.0 43.5 251.9 19.5 1.1 0.3 47.0 16.0 60.6 105.5 225.6 17.1 904.11981 213.5 213.0 152.5 54.5 4.6 1.4 16.8 5.1 34.5 27.4 19.7 65.5 808.51982 55.5 144.0 133.6 51.1 2.3 0.1 0.0 3.0 54.6 58.2 64.0 4.2 570.61983 106.9 61.7 68.0 65.7 4.4 3.5 0.0 3.9 40.3 27.8 17.2 102.2 501.61984 242.4 284.3 179.8 28.5 16.6 9.2 3.0 12.6 1.0 94.4 73.9 45.8 991.51985 134.4 287.6 144.8 69.8 29.2 23.0 0.0 11.4 65.2 49.4 196.6 181.0 1192.41986 162.3 261.1 194.3 111.3 5.8 0.0 3.4 4.3 20.3 23.9 45.5 133.7 965.91987 227.6 80.1 69.5 29.5 1.1 7.3 19.1 4.8 20.2 46.1 89.3 18.0 612.61988 158.7 53.3 169.8 101.3 13.7 0.4 2.0 0.0 19.8 31.3 9.0 71.4 630.71989 214.8 113.2 135.0 91.3 0.3 3.9 7.8 9.6 30.6 14.2 18.1 50.9 689.71990 151.2 39.1 61.5 48.9 25.0 67.7 0.0 15.5 7.4 65.9 101.2 127.8 711.21991 74.2 75.2 115.1 50.6 20.0 43.4 6.4 4.0 14.2 45.5 17.3 63.4 529.31992 151.9 88.8 29.7 8.2 0.0 1.6 1.4 55.5 2.4 38.8 57.8 45.1 481.21993 191.7 36.7 125.3 65.3 1.5 1.0 0.0 45.3 20.0 23.8 65.3 94.2 670.11994 129.4 126.7 100.2 58.1 14.8 0.0 0.0 0.0 5.2 10.8 39.5 117.1 601.81995 112.9 80.2 138.3 14.6 5.7 1.4 0.0 4.2 9.6 11.2 47.5 113.4 539.01996 245.6 141.1 33.9 31.5 2.0 0.0 7.2 30.5 11.5 9.5 83.2 86.3 682.31997 288.0 190.8 122.9 60.7 1.4 0.0 0.0 61.7 96.1 27.1 91.7 50.2 990.61998 97.3 112.6 54.7 59.9 0.0 13.0 0.0 0.1 4.6 41.0 47.1 41.1 471.41999 107.1 153.8 223.4 89.7 14.9 0.6 1.5 3.9 21.0 123.3 17.9 62.3 819.42000 269.9 161.1 135.6 14.4 4.9 4.4 9.3 6.4 3.2 51.5 1.0 109.8 771.52001 298.9 231.8 162.2 44.1 2.5 0.1 15.0 23.9 12.2 58.0 33.8 106.9 989.42002 108.2 242.7 228.5 156.8 20.9 19.8 43.6 15.2 10.7 69.8 80.7 108.0 1104.92003 168.1 78.9 172.0 14.5 24.3 0.5 0.0 10.3 52.2 14.1 17.9 89.3 642.12004 286.1 132.5 52.6 19.4 10.2 1.6 22.1 38.3 15.9 2.0 22.4 63.2 666.32005 125.1 142.5 78.7 23.6 8.3 0.0 0.0 0.0 26.2 58.7 55.7 88.5 607.32006 335.4 80.1 138.3 30.8 3.2 3.0 0.0 8.9 27.7 25.6 99.6 81.1 833.72007 92.9 61.8 212.4 66.2 2.5 2.1 7.8 5.2 41.5 27.5 30.6 87.1 637.6
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 168.9 134.8 115.3 43.6 9.8 5.8 5.7 15.7 30.2 37.6 56.8 80.8 705.1
DESVEST 75.8 68.7 61.7 31.1 11.4 12.6 10.1 20.7 22.6 26.2 48.5 42.2 185.1
MAXIMA 335.4 288.8 251.9 156.8 52.4 67.7 47.0 107.1 96.1 123.3 225.6 202.0 1192.4
MINIMA 10.6 21.8 21.7 4.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 2.2 243.1
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: ILAVE
Código : 116027 País : Perú Distrito : Ilave Altitud (msnm) : 3880.00
AÑOMESES TOTAL
ANUAL
Cuenca : Ilave Dpto : Puno Latitud Sur : 16°05'17.7" Zona Geografica: 19 SurTipo : CO Prov : El Collao Longitud Oeste : 69°38'42" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 261.4 181.3 89.7 89.3 18.3 0.8 1.1 28.9 38.2 22.4 109.3 43.3 884.01961 234.7 282.0 147.8 65.3 24.5 1.5 0.1 27.4 6.0 30.5 65.6 184.3 1069.71962 311.6 105.8 43.5 37.8 17.0 1.5 0.0 0.2 30.9 38.6 46.3 48.3 681.51963 202.7 167.9 99.6 19.1 2.8 0.2 0.2 5.9 49.9 18.4 63.6 154.3 784.61964 161.4 172.9 156.1 38.5 9.1 0.0 0.0 6.2 24.6 18.0 26.4 50.6 663.81965 123.6 51.9 28.6 9.0 0.0 0.0 0.0 3.0 1.3 3.3 57.1 153.5 431.31966 95.2 66.5 29.5 26.6 57.5 0.4 0.5 0.3 12.9 36.7 47.8 92.4 466.31967 81.0 100.5 220.8 51.0 9.4 0.2 0.1 1.8 37.4 17.9 10.0 116.0 646.11968 95.3 126.4 121.3 42.0 13.4 19.9 2.6 2.2 17.1 32.8 79.2 79.1 631.31969 115.8 54.2 59.0 32.5 0.0 0.0 15.6 25.7 3.6 9.9 58.2 68.8 443.31970 102.0 92.6 162.5 37.1 6.1 0.3 0.9 0.6 55.1 26.9 5.2 87.4 576.71971 154.8 314.3 61.6 15.3 0.4 0.3 0.3 21.5 0.0 95.4 41.7 117.3 822.91972 228.9 141.9 125.2 24.6 0.0 0.0 1.8 0.7 11.5 19.8 35.7 129.5 719.61973 230.1 179.6 206.9 82.0 2.8 0.0 83.3 12.3 46.1 48.1 55.8 89.5 1036.51974 275.5 321.0 52.4 30.7 0.0 1.4 0.3 45.7 9.3 19.4 19.6 52.7 828.01975 161.0 165.5 76.2 21.2 20.6 3.8 0.5 13.9 59.5 57.5 38.6 151.2 769.51976 326.1 220.2 182.5 28.0 6.4 0.6 1.1 26.3 15.7 5.0 25.3 73.7 910.91977 77.5 133.1 313.0 18.2 0.0 0.0 2.1 5.6 9.2 23.4 93.0 136.9 812.01978 130.9 152.2 77.5 25.0 0.0 0.0 0.9 4.3 13.0 21.6 59.1 96.5 581.01979 183.4 32.0 63.0 37.9 3.7 0.2 0.2 3.1 0.0 28.3 19.5 76.9 448.21980 104.0 51.9 202.4 22.1 1.7 0.2 11.0 19.0 62.3 91.8 62.8 33.8 663.01981 227.1 171.3 221.1 41.4 5.9 0.1 5.5 11.0 9.6 28.6 47.6 109.3 878.51982 190.0 98.9 119.6 27.1 6.4 0.6 0.6 2.9 19.3 93.9 66.1 38.3 663.71983 120.9 30.3 60.2 15.6 32.0 1.8 0.1 6.2 14.4 11.3 29.6 68.2 390.61984 341.8 296.4 140.6 17.6 16.2 4.0 0.3 26.0 0.5 16.1 31.7 143.0 1034.21985 230.7 309.0 171.5 63.2 71.4 67.7 2.3 19.5 60.6 42.6 208.9 193.3 1440.71986 163.7 219.4 188.1 132.8 8.8 0.0 0.2 14.9 5.5 32.9 17.5 84.1 867.91987 206.5 87.2 74.6 21.2 3.5 9.3 9.0 0.2 0.0 32.4 41.7 50.9 536.51988 197.4 51.2 219.2 96.0 13.2 0.0 3.4 0.0 39.4 10.0 21.9 90.8 742.51989 201.7 173.9 142.6 82.9 0.0 0.0 2.8 14.2 37.0 19.3 26.0 45.3 745.71990 101.1 56.5 54.8 11.0 12.3 67.6 0.0 16.4 13.1 134.5 27.8 131.4 626.51991 104.9 43.8 270.6 71.0 14.6 43.5 7.7 9.9 13.7 45.7 49.2 60.2 734.81992 122.9 84.9 63.8 45.0 0.0 3.0 3.2 35.7 3.0 23.2 58.4 45.5 488.61993 178.9 29.7 109.1 37.4 6.5 0.5 0.0 37.9 27.5 51.1 82.4 70.9 631.91994 117.4 103.2 80.7 84.4 17.8 0.5 0.0 0.5 1.6 30.8 62.1 192.4 691.41995 112.0 113.9 170.9 5.2 6.3 0.0 0.0 11.2 13.7 12.3 70.9 136.9 653.31996 202.4 185.9 95.7 45.9 0.5 0.0 20.8 7.1 12.5 6.8 92.8 100.1 770.51997 227.0 158.4 105.2 55.8 6.7 0.0 0.0 40.3 87.1 47.4 91.2 53.1 872.21998 103.3 161.3 46.3 45.3 0.0 2.5 0.0 0.7 3.2 5.6 53.4 34.9 456.51999 217.9 214.8 275.0 69.2 5.1 0.0 0.0 1.5 37.8 190.3 36.8 79.4 1127.82000 239.5 164.3 134.6 28.8 2.8 6.5 5.8 20.2 7.4 99.8 7.3 123.3 840.32001 356.0 222.9 202.1 65.2 9.6 3.2 10.5 19.3 15.8 58.0 33.8 96.0 1092.42002 108.2 240.7 220.5 148.8 20.9 19.8 42.0 13.2 10.7 62.8 80.7 106.0 1074.32003 165.1 78.9 168.5 14.8 23.4 0.5 0.0 10.3 53.6 14.8 18.2 87.3 635.42004 284.1 135.5 50.6 20.2 10.8 2.0 19.8 37.5 15.2 2.5 21.4 62.3 661.92005 123.1 145.5 75.7 21.6 8.8 0.0 0.0 0.0 25.2 56.5 57.5 89.2 603.12006 328.3 81.2 136.2 32.8 3.2 3.0 0.0 8.9 28.7 26.5 74.6 81.3 804.72007 87.4 113.4 107.0 29.4 0.0 0.4 0.0 0.2 10.8 3.1 49.2 87.8 488.7
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 181.6 143.5 129.7 43.4 10.4 5.6 5.3 12.9 22.3 38.0 51.6 93.7 738.0
DESVEST 76.5 79.0 70.4 30.8 13.9 15.0 13.8 12.6 20.5 36.4 33.9 41.6 215.3
MAXIMA 356.0 321.0 313.0 148.8 71.4 67.7 83.3 45.7 87.1 190.3 208.9 193.3 1440.7
MINIMA 77.5 29.7 28.6 5.2 0.0 0.0 0.0 0.0 0.0 2.5 5.2 33.8 390.6
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: RINCON DE LA CRUZ
Código : S/C País : Perú Distrito : Acora Altitud (msnm) : 3835.00
AÑOMESES TOTAL
ANUAL
Cuenca : Titicaca Dpto : Puno Latitud Sur : 15°59'26.1" Zona Geografica: 19 SurTipo : CO Prov : Puno Longitud Oeste : 68°49'39.0" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 171.1 195.4 93.5 53.6 1.5 0.0 0.0 7.2 72.8 41.3 121.3 29.9 787.61961 167.0 177.7 103.4 56.3 43.5 15.0 0.0 11.0 31.2 33.0 81.5 213.9 933.51962 265.2 151.2 92.8 71.2 2.0 0.0 0.0 0.9 57.4 19.0 4.3 99.5 763.51963 235.8 180.5 99.4 39.3 2.4 0.0 0.2 0.5 28.8 45.6 58.1 123.9 814.51964 162.5 168.1 155.3 42.6 35.9 0.0 0.0 1.1 61.7 31.7 98.5 34.4 791.81965 70.6 82.1 62.4 38.4 4.0 2.0 4.6 8.1 30.9 41.3 46.1 193.9 584.41966 78.5 152.8 63.9 25.4 51.5 0.0 0.0 0.0 7.7 36.2 106.7 52.2 574.91967 89.2 170.7 258.4 31.1 18.5 0.0 27.7 25.0 44.7 49.8 0.0 149.9 865.01968 145.8 189.6 124.5 37.1 33.8 17.7 2.3 1.4 16.0 56.2 103.8 85.7 813.91969 190.7 131.1 103.3 47.2 0.0 0.0 2.0 0.0 25.8 12.9 31.9 81.9 626.81970 111.4 106.5 140.3 36.9 25.5 0.0 0.0 0.0 0.0 10.0 18.5 179.3 628.41971 150.2 252.8 52.2 24.9 2.1 1.3 0.0 3.1 0.0 4.3 56.2 124.4 671.51972 232.2 197.8 111.7 16.3 3.6 0.0 0.0 0.0 29.6 49.7 51.0 170.3 862.21973 198.3 123.7 129.7 46.7 18.7 0.0 5.0 12.2 55.7 10.9 26.7 85.2 712.81974 274.1 245.8 100.5 51.0 0.0 1.1 0.0 57.4 20.0 12.1 16.5 87.2 865.71975 153.1 258.0 112.4 23.5 31.7 3.1 0.0 8.1 21.7 61.8 43.1 260.8 977.31976 355.5 178.4 218.3 40.8 18.4 0.0 27.6 29.8 64.4 14.6 0.0 84.6 1032.41977 75.4 191.0 148.3 7.0 5.3 0.0 0.0 0.0 21.1 55.6 88.3 126.4 718.41978 209.0 147.5 101.9 43.1 0.0 0.0 18.6 1.5 15.2 8.4 153.1 109.2 807.51979 190.2 115.0 125.6 22.3 0.0 1.2 9.3 1.7 5.0 39.7 53.5 56.5 620.01980 93.8 58.4 239.5 8.0 0.0 0.0 4.0 15.7 40.2 87.5 30.1 26.2 603.41981 244.1 277.0 125.5 54.0 1.9 0.0 0.0 30.2 32.4 18.0 22.5 161.5 967.11982 157.3 88.9 85.2 26.9 0.0 0.0 0.0 4.3 36.7 64.6 88.1 23.5 575.51983 97.8 78.1 18.7 8.4 0.0 1.6 0.0 3.5 17.1 14.6 15.8 77.8 333.41984 321.2 232.1 220.8 38.8 18.7 33.6 0.0 17.6 1.8 67.8 156.9 115.6 1224.91985 135.2 190.9 105.3 140.6 24.4 13.4 0.0 0.0 44.0 7.8 148.7 204.2 1014.51986 144.0 283.3 238.3 100.7 8.2 0.2 0.0 9.4 11.7 1.8 43.7 151.2 992.51987 280.9 77.1 74.3 26.2 0.0 0.0 35.2 6.5 8.6 23.5 57.0 28.5 617.81988 199.5 45.1 179.1 130.7 9.6 2.5 0.0 0.0 5.9 44.6 13.2 101.4 731.61989 225.5 130.9 129.0 77.3 3.5 5.3 2.4 5.4 4.8 0.0 26.1 44.6 654.81990 135.7 36.7 80.8 11.0 15.3 55.3 0.0 15.7 9.4 99.4 141.5 128.5 729.31991 130.1 131.0 148.2 27.6 2.9 43.6 0.0 0.6 21.8 28.5 30.1 64.0 628.41992 120.7 100.0 59.5 39.5 0.0 3.9 15.8 31.9 0.0 61.9 48.9 102.1 584.21993 206.4 66.2 133.8 61.0 14.1 1.5 0.0 34.6 18.3 123.4 126.8 176.9 963.01994 206.8 197.2 148.8 110.0 14.8 1.5 1.5 0.0 5.9 8.7 74.3 140.1 909.61995 140.5 205.5 150.2 12.1 0.0 0.0 0.0 0.1 11.1 3.4 59.3 171.0 753.21996 277.3 127.4 94.4 52.6 20.2 0.0 0.0 52.0 12.0 4.7 96.3 97.5 834.41997 187.9 239.2 114.6 29.3 1.0 0.0 0.0 21.8 94.9 22.6 122.0 54.9 888.21998 87.7 94.3 88.8 31.0 0.0 10.0 0.0 0.0 0.0 28.3 44.0 25.1 409.21999 132.7 180.7 240.7 73.9 19.5 0.0 0.0 11.9 6.7 92.5 1.1 71.1 830.82000 250.3 236.7 126.3 12.5 5.3 1.4 0.0 10.1 6.5 66.7 7.1 139.5 862.42001 368.5 267.6 139.4 78.2 13.1 0.0 3.5 4.7 12.1 24.5 44.5 67.8 1023.92002 68.9 214.8 163.0 74.8 22.6 4.6 25.9 15.0 10.9 44.3 68.9 63.0 776.72003 158.2 123.4 124.0 28.2 12.6 0.0 0.0 5.6 19.1 6.1 24.3 128.4 629.92004 228.3 146.8 71.8 22.5 0.0 1.8 11.1 43.9 6.1 0.0 14.1 61.4 607.82005 115.1 280.3 79.3 42.5 0.0 0.0 0.0 0.0 19.1 39.0 37.5 127.8 740.62006 240.8 96.5 88.3 32.7 6.3 3.4 0.0 12.9 34.0 18.7 53.5 68.6 655.72007 109.3 96.8 168.9 48.0 4.9 0.0 0.0 0.0 45.8 57.8 71.4 110.6 713.5
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 179.0 160.8 125.7 44.9 10.8 4.7 4.1 10.9 23.9 35.3 58.9 105.9 764.8
DESVEST 74.1 67.0 53.4 29.9 12.8 11.3 8.7 14.2 21.4 28.6 43.8 55.5 170.8
MAXIMA 368.5 283.3 258.4 140.6 51.5 55.3 35.2 57.4 94.9 123.4 156.9 260.8 1224.9
MINIMA 68.9 36.7 18.7 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23.5 333.4
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: LARAQUERI
Código : 116033 País : Perú Distrito : Laraqueri Altitud (msnm) : 3900.00
AÑOMESES TOTAL
ANUAL
Cuenca : Ilave Dpto : Puno Latitud Sur : 16°09'16.9" Zona Geografica: 19 SurTipo : CO Prov : Puno Longitud Oeste : 70°03'59.7" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 214.4 177.0 91.0 91.8 12.0 0.4 0.0 20.7 94.0 39.7 105.2 35.7 881.91961 189.4 196.9 161.9 68.9 27.1 1.7 0.1 18.7 14.3 41.5 49.2 157.1 926.81962 299.0 90.7 37.0 48.2 5.1 0.1 0.3 0.4 31.3 67.7 6.7 110.2 696.71963 152.4 161.2 61.6 58.1 1.8 0.0 0.1 13.1 61.1 16.2 69.5 88.7 683.81964 155.9 95.0 112.9 54.1 11.8 0.0 0.0 6.6 22.2 7.8 50.2 48.2 564.71965 100.7 174.8 61.2 30.7 0.8 0.0 0.6 7.1 32.2 14.0 49.7 116.0 587.81966 32.5 79.9 18.6 76.1 40.3 0.0 0.5 0.0 1.0 42.9 71.8 27.8 391.41967 71.8 106.1 213.8 12.8 12.9 0.0 16.9 27.8 63.5 43.7 4.0 121.5 694.81968 120.7 117.4 111.2 62.7 10.4 12.3 3.7 2.8 15.5 59.4 59.1 48.9 624.11969 164.5 98.6 68.4 33.7 0.0 0.2 3.2 0.9 4.5 25.7 52.6 51.5 503.81970 142.4 55.5 189.5 32.0 7.5 0.0 0.0 0.9 10.4 18.0 14.6 97.2 568.01971 101.0 268.2 28.4 25.2 0.0 2.9 0.0 9.1 1.2 19.5 93.5 103.6 652.61972 210.8 130.9 164.0 37.2 6.6 0.0 0.0 0.0 37.3 32.6 46.1 132.6 798.11973 238.2 131.7 159.1 97.6 13.3 0.0 1.8 6.1 32.5 16.4 29.5 70.8 797.01974 253.0 206.8 54.9 57.6 0.2 2.5 0.2 51.2 36.5 12.5 27.3 48.1 750.81975 157.0 177.6 158.6 37.5 43.7 0.7 0.1 14.5 48.7 53.3 24.7 235.2 951.61976 200.2 149.5 169.2 25.6 9.9 0.4 1.4 16.9 44.4 9.1 11.6 119.8 758.01977 49.1 206.1 209.8 5.8 8.8 0.0 2.3 0.0 48.1 53.9 49.7 108.8 742.41978 224.5 95.3 136.3 28.3 0.4 0.0 3.2 0.4 17.5 24.9 142.2 155.0 828.01979 131.2 35.2 143.1 44.1 1.4 0.0 0.9 1.8 8.5 45.5 31.7 83.9 527.31980 60.8 57.3 258.4 18.5 1.3 0.1 4.9 13.5 66.1 72.8 25.8 34.9 614.41981 219.8 207.3 111.3 71.9 4.7 0.0 0.0 37.8 21.1 25.6 49.0 129.0 877.51982 232.1 83.5 99.7 75.0 2.6 5.2 1.9 0.0 52.9 114.4 103.0 24.5 794.81983 20.7 70.4 57.6 55.5 14.2 2.3 1.5 4.8 46.4 26.7 29.8 104.2 434.11984 318.9 330.1 223.0 44.4 18.3 4.2 3.7 25.5 0.0 157.5 68.8 96.2 1290.61985 130.0 337.6 123.3 90.7 24.9 27.3 0.0 8.2 40.1 32.7 123.5 134.2 1072.51986 145.1 251.1 221.2 105.8 0.1 0.0 5.2 12.0 42.0 4.2 9.2 131.5 927.41987 224.3 71.5 73.8 44.2 1.7 3.8 12.5 0.0 4.3 58.4 110.8 25.4 630.71988 213.2 73.5 228.9 72.9 23.3 0.0 0.3 0.0 20.5 70.5 45.5 99.1 847.71989 203.8 129.9 137.1 100.9 0.0 0.4 1.7 14.7 17.6 14.2 21.4 42.9 684.61990 167.2 22.4 59.9 43.0 12.1 54.7 0.0 11.8 10.1 107.9 94.5 63.2 646.81991 124.1 67.7 185.8 46.2 6.8 33.6 0.0 3.0 14.7 20.4 44.2 50.3 596.81992 66.0 89.7 15.7 38.8 0.0 0.5 2.3 42.2 0.0 34.4 29.4 55.1 374.11993 175.6 100.7 107.0 52.5 6.6 1.1 0.0 37.9 18.0 69.1 79.2 111.5 759.21994 180.0 183.1 113.3 116.2 29.9 0.4 0.0 0.0 18.3 36.6 52.6 73.2 803.61995 122.7 119.7 124.0 2.1 4.1 0.0 0.0 3.0 21.9 15.3 50.3 80.2 543.31996 252.7 130.5 60.8 76.3 0.0 0.0 2.9 12.8 0.8 10.4 88.3 118.0 753.51997 239.6 213.2 98.6 88.6 0.9 0.0 0.0 21.9 108.2 30.1 62.9 44.9 908.91998 196.4 115.5 135.3 25.4 0.0 4.9 0.0 4.3 4.5 26.9 43.9 58.0 615.11999 193.7 244.5 202.0 86.0 7.5 0.0 1.5 1.9 16.1 150.3 32.0 68.4 1003.92000 167.1 210.0 150.1 40.3 0.4 2.3 4.2 17.9 14.6 95.8 13.9 69.0 785.62001 248.7 214.6 224.1 69.8 12.2 2.2 0.0 12.5 27.1 68.4 56.2 81.0 1016.82002 129.6 180.0 170.6 105.3 15.4 21.1 22.7 30.6 11.6 65.9 43.8 112.2 908.82003 174.5 114.4 113.4 46.1 36.7 4.8 0.2 9.6 42.9 25.4 14.3 131.8 714.12004 208.9 125.2 115.5 29.2 6.2 0.0 10.2 43.0 34.3 5.6 41.2 59.1 678.42005 103.3 157.9 134.6 45.7 0.4 0.0 0.0 0.0 11.8 39.5 80.5 100.8 674.52006 291.1 64.3 159.6 44.6 0.9 0.0 0.0 0.6 21.2 37.4 53.8 101.5 775.02007 84.8 171.0 236.7 49.7 10.6 0.0 3.3 1.5 61.3 77.0 44.2 74.1 814.2
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 168.8 143.6 131.1 54.5 9.5 4.0 2.4 11.9 28.6 44.5 52.1 88.2 739.1
DESVEST 69.8 71.9 62.7 27.6 11.1 10.2 4.5 13.4 24.0 35.1 31.8 41.5 178.5
MAXIMA 318.9 337.6 258.4 116.2 43.7 54.7 22.7 51.2 108.2 157.5 142.2 235.2 1290.6
MINIMA 20.7 22.4 15.7 2.1 0.0 0.0 0.0 0.0 0.0 4.2 4.0 24.5 374.1
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: PUNO
Código : 100110 País : Perú Distrito : Puno Altitud (msnm) : 3820.00
AÑOMESES TOTAL
ANUAL
Cuenca : Titicaca Dpto : Puno Latitud Sur : 15°49'34.5" Zona Geografica: 19 SurTipo : CP Prov : Puno Longitud Oeste : 70°00'43.5" Propietario : Senamhi
Código : S/C País : Perú Distrito : Moquegua Altitud (msnm) : 4601.00Cuenca : Tambo Dpto : Moquegua Latitud Sur : 16°52'30" Zona Geografica: 19 SurTipo : CO Prov : Mariscal Nieto Longitud Oeste : 70°25'24.8" Propietario : Senamhi
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 98.2 50.3 162.9 32.5 2.3 0.0 0.0 0.0 7.2 1.3 0.9 48.3 403.91961 57.0 54.2 69.1 2.6 0.0 0.1 0.0 6.3 0.0 0.2 4.3 64.7 258.51962 139.2 155.5 220.8 82.4 0.0 0.0 0.0 0.0 0.7 0.0 10.0 37.5 646.11963 129.8 61.6 48.9 0.0 0.0 0.4 0.0 0.1 0.6 0.4 2.6 91.2 335.61964 52.2 66.7 68.2 20.7 0.9 0.0 0.0 0.0 0.0 10.8 23.4 47.6 290.51965 55.5 85.5 64.0 9.9 0.0 0.0 0.0 0.0 27.5 0.0 0.0 32.4 274.81966 27.8 38.5 36.9 0.0 0.0 0.0 0.0 0.0 0.0 15.6 27.6 73.4 219.81967 66.8 101.0 104.8 17.7 0.0 0.0 0.0 0.0 0.0 0.0 1.9 75.9 368.11968 61.7 45.7 53.8 66.8 3.5 26.5 0.0 0.0 0.0 31.5 41.3 40.3 371.11969 140.8 103.8 152.9 17.0 0.0 0.0 0.0 2.7 3.6 8.7 7.3 157.0 593.81970 89.3 13.2 46.3 28.1 2.0 0.0 0.0 0.0 0.0 0.0 39.3 78.5 296.71971 185.9 176.1 148.1 4.7 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.8 517.61972 218.5 154.2 104.9 21.9 0.0 0.0 0.0 0.0 13.0 23.3 20.0 42.8 598.61973 162.5 198.0 196.2 36.7 0.0 0.0 0.0 6.7 8.1 0.0 8.9 14.1 631.21974 185.6 135.0 77.7 79.4 27.8 19.1 0.0 94.9 26.8 20.4 13.2 43.1 723.01975 228.3 249.6 270.3 12.7 6.4 0.0 0.0 0.0 0.0 0.0 0.0 83.9 851.21976 140.8 241.3 178.2 39.2 2.9 6.0 0.8 12.0 35.0 0.0 0.0 39.9 696.11977 100.2 184.7 181.4 11.1 4.8 0.0 1.5 1.8 0.0 0.0 39.3 34.9 559.71978 128.1 45.7 52.6 23.1 0.0 0.0 0.0 0.0 0.0 4.6 11.2 48.5 313.81979 64.9 40.8 129.6 16.6 0.0 0.0 0.0 0.0 1.3 12.9 4.1 29.3 299.51980 51.9 24.6 3.6 17.6 0.0 0.0 0.0 0.0 0.0 13.2 2.3 29.1 142.31981 141.7 159.2 82.8 16.0 0.7 0.0 0.0 11.9 0.0 0.0 11.8 45.9 470.01982 59.2 55.4 34.6 17.2 3.9 0.0 0.0 0.0 15.2 42.5 9.3 0.6 237.91983 26.5 5.8 3.2 0.0 0.0 0.0 0.0 2.6 6.3 0.0 11.8 40.0 96.21984 85.3 76.3 84.7 35.6 0.0 10.7 0.0 0.9 0.0 0.6 76.8 25.4 396.31985 16.4 40.6 19.5 11.5 0.0 1.3 0.0 0.0 1.6 10.8 12.3 41.1 155.11986 18.8 20.9 42.8 6.9 0.0 0.0 2.9 0.5 0.0 0.0 0.0 79.5 172.31987 152.1 25.6 12.1 0.0 0.0 0.0 2.5 0.0 0.0 0.3 0.0 10.5 203.11988 123.9 31.5 83.7 34.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18.0 291.71989 80.2 229.4 98.7 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408.31990 56.8 44.9 23.1 0.1 0.0 0.2 0.1 0.9 0.7 3.0 0.0 72.8 202.61991 58.8 69.3 21.0 36.9 0.5 0.1 0.0 0.0 0.1 22.6 6.9 13.3 229.51992 163.0 241.3 156.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30.8 591.31993 107.1 7.1 2.3 0.0 0.0 4.1 0.0 13.1 0.0 0.0 0.0 25.5 159.21994 152.9 37.5 39.8 1.5 0.0 0.0 0.0 0.0 0.0 3.4 9.2 38.1 282.41995 39.8 28.0 44.4 0.0 1.5 0.2 0.0 0.0 0.6 0.0 4.3 31.2 150.01996 65.2 67.2 56.7 19.9 0.4 0.0 0.0 4.1 1.6 0.0 3.6 31.2 249.91997 103.9 191.2 73.8 10.6 2.5 0.0 0.0 32.3 30.3 0.0 17.1 47.7 509.41998 161.6 34.0 22.0 12.2 0.0 4.1 0.0 0.0 0.0 0.0 13.6 44.5 292.01999 57.2 222.3 115.3 58.9 0.0 0.0 0.0 0.0 10.6 11.8 0.0 30.9 507.02000 129.2 118.3 97.7 21.5 0.0 0.3 0.6 0.0 0.0 19.3 4.9 58.2 450.02001 143.4 204.4 130.2 58.1 2.8 1.9 0.0 6.5 0.0 9.4 22.3 41.0 620.02002 143.2 153.9 183.3 77.2 7.0 4.5 19.5 19.5 0.0 0.0 54.4 53.2 715.72003 70.3 70.9 115.4 15.5 15.6 0.0 0.0 10.4 4.3 0.8 4.9 67.5 375.62004 146.6 135.6 100.0 17.1 0.0 0.0 16.2 31.0 14.3 1.4 0.1 32.5 494.82005 74.1 137.7 97.7 11.9 0.0 0.0 0.0 0.0 52.2 4.1 8.3 97.1 483.12006 127.8 98.2 109.0 14.8 0.0 5.5 0.0 0.0 1.0 18.7 63.6 69.3 507.92007 132.8 101.0 145.6 19.4 13.8 1.2 0.0 0.0 0.1 0.0 0.0 0.0 413.9
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 104.6 100.7 91.0 21.6 2.1 1.8 0.9 5.4 5.5 6.1 12.4 45.0 397.0
DESVEST 52.5 72.3 62.1 21.9 5.0 5.0 3.6 15.1 11.1 9.7 17.5 29.1 182.6
MAXIMA 228.3 249.6 270.3 82.4 27.8 26.5 19.5 94.9 52.2 42.5 76.8 157.0 851.2
MINIMA 16.4 5.8 2.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 96.2
AÑOMESES TOTAL
ANUAL
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: PAMPA UMALZO
ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC1960 184.3 58.1 58.2 49.5 0.5 13.4 1.1 0.2 13.9 8.0 69.2 91.7 548.11961 135.1 157.0 124.2 53.5 23.6 0.4 0.1 3.6 18.3 43.2 37.1 64.3 660.41962 177.5 155.5 63.0 43.1 0.0 0.0 0.0 0.0 7.2 7.7 12.5 140.4 606.91963 59.0 252.0 107.4 10.5 1.0 1.2 0.3 14.2 7.1 59.5 26.1 96.7 635.01964 70.3 34.9 104.2 29.1 13.2 2.6 0.0 0.1 15.5 2.8 3.1 64.2 340.01965 137.2 33.6 75.1 19.2 3.3 0.0 20.2 0.2 0.2 10.7 4.2 122.1 426.01966 51.6 110.3 63.4 0.2 41.0 0.0 0.0 0.0 4.9 64.5 118.1 83.1 537.11967 47.4 96.4 82.1 20.4 6.3 0.0 2.9 2.4 46.5 43.1 17.0 72.4 436.91968 124.6 74.3 115.4 8.9 12.1 4.1 1.8 0.0 14.9 49.1 86.4 19.8 511.41969 183.8 111.1 51.8 18.7 0.0 2.1 1.5 0.0 2.4 17.6 57.1 285.1 731.21970 218.3 115.4 161.2 15.1 24.7 0.0 0.0 0.0 4.8 8.5 1.3 146.4 695.71971 123.7 235.3 83.8 26.5 1.5 0.0 0.0 0.0 0.0 2.5 24.3 85.0 582.61972 142.5 100.0 124.6 6.6 1.2 0.0 0.0 0.0 47.3 11.6 20.9 214.4 669.11973 208.7 120.3 89.7 53.5 2.0 0.0 0.0 6.2 31.2 0.0 2.1 33.2 546.91974 231.1 131.8 49.1 44.4 1.0 10.2 0.0 84.0 5.2 3.3 4.0 78.9 643.01975 160.0 145.4 84.7 5.6 7.9 2.2 0.0 0.0 3.6 10.6 9.7 173.3 603.01976 140.9 132.3 69.2 31.5 6.2 0.0 6.6 12.5 33.9 0.0 0.0 69.8 502.91977 97.9 198.7 101.7 6.6 0.0 0.0 0.0 0.0 7.3 42.4 110.1 66.5 631.21978 155.3 12.5 40.2 65.9 0.0 0.0 0.0 1.2 0.0 0.0 55.9 115.8 446.81979 148.9 47.5 85.8 23.4 0.0 0.0 0.0 6.7 0.0 20.2 54.7 95.2 482.41980 39.8 40.7 104.5 10.0 0.1 0.0 0.0 0.0 15.3 74.7 13.5 23.4 322.01981 120.3 288.7 42.8 52.9 0.0 0.0 0.0 12.3 22.8 13.8 16.7 109.3 679.61982 189.7 33.2 50.0 36.1 0.0 0.0 0.0 3.4 21.7 54.6 64.9 14.7 468.31983 29.7 33.2 42.0 20.6 3.5 0.0 0.0 0.5 5.7 9.1 0.0 101.7 246.01984 217.2 168.6 47.9 13.2 0.0 7.1 0.0 6.0 0.0 70.2 141.3 82.3 753.81985 69.7 198.4 74.8 56.8 17.4 7.6 2.2 2.1 19.4 4.8 65.7 62.8 581.71986 181.2 155.8 155.4 69.7 5.2 0.0 24.1 3.4 3.1 0.0 10.9 104.7 713.51987 260.3 65.9 29.6 0.0 0.0 2.5 25.3 0.0 0.0 4.4 28.5 8.3 424.81988 131.2 23.9 81.4 36.9 12.4 0.0 0.0 0.0 3.6 14.2 0.0 72.1 375.71989 124.8 60.2 65.1 24.9 6.7 8.4 4.6 0.0 9.2 3.5 11.5 18.4 337.31990 111.4 32.6 48.3 20.1 10.8 42.9 0.0 8.9 0.0 22.0 73.2 46.1 416.31991 72.5 74.7 116.4 16.1 1.3 23.6 0.0 0.0 3.3 10.5 10.2 29.1 357.71992 84.5 29.0 2.5 8.2 0.0 4.0 0.0 20.3 0.0 16.7 11.8 59.9 236.91993 215.8 37.0 137.0 28.6 0.0 7.1 0.0 15.4 2.1 32.0 77.7 74.3 627.01994 165.3 234.8 92.3 106.4 4.8 0.0 0.0 0.0 2.1 0.3 41.8 103.8 751.61995 85.2 67.5 111.2 16.6 0.0 0.0 0.0 0.2 0.2 1.9 25.7 81.6 390.11996 245.7 139.9 54.4 31.9 8.9 0.0 0.0 22.9 2.1 7.5 37.0 67.6 617.91997 145.9 200.7 27.8 33.7 8.5 0.0 0.0 41.3 41.9 14.1 47.3 54.9 616.11998 192.3 94.0 50.5 8.6 0.0 1.5 0.0 0.0 0.0 2.6 55.6 27.5 432.61999 62.0 214.3 183.1 54.4 1.3 0.0 0.0 4.7 0.5 45.0 1.0 68.0 634.32000 198.4 142.7 54.4 21.1 3.1 0.0 0.0 4.7 0.0 30.0 5.1 118.4 577.92001 233.6 195.3 116.0 38.9 4.1 0.0 0.5 6.7 2.6 23.4 29.3 83.1 733.52002 73.6 176.6 180.8 44.0 7.0 0.5 18.3 0.6 7.1 45.2 44.6 80.6 678.92003 76.2 120.7 100.2 27.1 3.2 0.0 0.0 4.1 0.0 14.6 1.7 63.3 411.12004 139.1 123.7 79.4 51.9 0.0 0.0 14.9 9.4 18.2 0.0 14.0 48.2 498.82005 114.1 168.6 58.6 27.1 0.0 0.0 0.0 0.0 17.7 4.7 27.4 77.0 495.22006 186.2 82.8 110.0 17.0 0.0 0.0 0.0 0.0 12.0 10.9 59.5 91.9 570.32007 144.3 55.4 145.1 28.7 0.0 0.0 0.0 0.0 1.0 9.4 29.6 95.0 508.5
Nº DATOS 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0 48.0
PROM. 139.8 116.3 85.3 29.9 5.1 2.9 2.6 6.2 9.9 19.7 34.6 83.0 535.3
DESVEST 60.0 69.7 40.3 21.0 8.0 7.4 6.4 13.9 12.6 20.9 33.6 49.9 134.7
MAXIMA 260.3 288.7 183.1 106.4 41.0 42.9 25.3 84.0 47.3 74.7 141.3 285.1 753.8
MINIMA 29.7 12.5 2.5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.3 236.9
PRECIPITACION MENSUAL COMPLETADA Y EXTENDIDA (mm)
ESTACION: ICHUÑA
Código : 100059 País : Perú Distrito : Ichuña Altitud (msnm) : 3800.00
AÑOMESES TOTAL
ANUAL
Cuenca : Tambo Dpto : Moquegua Latitud Sur : 16°07'57.4" Zona Geografica: 19 SurTipo : CO Prov : Sanchez Cerro Longitud Oeste : 70°33'7.5" Propietario : Senamhi
Cuenca
1 Capazo CO 117041 Puno El Collao Capazo 69°44'07.8" 17°11'15.8" 4530.00 Mauri Senamhi
2 Vilacota CO S/C Tacna Tarata Tarata 70°03'03" 17°07'06" 4390.00 Mauri Senamhi
3 Coypa Coypa PLU S/C Puno El Collao Mazocruz 69°56'00" 17°01'00" 4450.00 Ilave Pet-Tacna
4 Chichillapi PLU S/C Puno El Collao Mazocruz 69°44'00" 16°55'00" 4050.00 Ilave Pet-Tacna
5 Mazocruz CO 110878 Puno El Collao Mazocruz 69°42'21.9" 16°44'24.4" 4003.00 Ilave Senamhi
6 Pizacoma CO 116029 Puno Chucuito Pizacoma 69°22'06.8" 16°54'25.3" 4060.00 Alto Desaguadero Senamhi
7 Chilligua PLU 116056 Puno Chucuito Juli 69°40'11.5" 16°32'25.4" 3960.00 Ilave Senamhi
8 Yorohoco CO S/C Puno Chucuito Huacullani 69°19'14" 16°33'54" 3845.00 Alto Desaguadero Pelt
9 Desaguadero CO 116060 Puno Chucuito Desaguadero 69°02'19.8" 16°33'48.06" 3860.00 Alto Desaguadero Senamhi
10 Pocoaque CO S/C Puno Chucuito Pomata 69°17'06" 16°22'49" 3850.00 Alto Desaguadero Pelt
11 Juli CO 110880 Puno Chucuito Juli 69°27'35.7" 16°12'13.6" 3812.00 Titicaca Senamhi
12 Ilave CO 116027 Puno El Collao Ilave 69°38'42" 16°05'17.7" 3880.00 Ilave Senamhi
13 Rincón de la Cruz CO S/C Puno Puno Acora 69°48'39.0" 15°59'26.1" 3835.00 Titicaca Senamhi
14 Laraqueri CO 116033 Puno Puno Laraqueri 70°03'59.7" 16°09'16.9" 3900.00 Ilave Senamhi
15 Puno CP 100110 Puno Puno Puno 70°00'43.5" 15°49'34.5" 3820.00 Titicaca Senamhi
16 Mañazo CO 115051 Puno Puno Mañazo 70°21'00" 15°48'00" 3920.00 Titicaca Senamhi
17 Pampa Umalzo CO S/C Moquegua Mariscal Nieto Moquegua 70º25'24.8" 16°52'30" 4601.00 Tambo Senamhi
18 Ichuña CO 100059 Moquegua Sanchez Cerro Ichuña 70°33'07.5" 16°07'57.4" 3800.00 Tambo Senamhi
INFORMACION DE LAS ESTACIONES METEOROLOGICAS
ESTACION CODIGO
UBICACION POLITICA UBICACION GEOGRAFICA
Dpto Provincia DistritoLongitud
Oeste
Latitud
Sur
Nº PROPIETARIOTIPO
UBICACION
HIDROGRAFICAAltitud
(msnm)