GENERAR CAUDALES LUTZ Dr Mejía.xls

GENERACION DE DESCARGAS PARA EN EL RIO MUYLO-MICROCUENCA MUYLO

METODO PROPUESTO POR LA MISION TECNICA ALEMANA - 1980

Cuadro N° 6.1: Precipitación Efectivasegún el Bureao of Reclamation

P P. Efectiva: PE (mm)mm Curva I Curva II Curva III

0.0 0.0 0.0 0.0

10.0 0.0 1.0 2.0

20.0 0.0 2.0 4.0

30.0 0.0 3.0 6.0

40.0 0.5 4.0 8.0

50.0 1.0 6.0 11.0

60.0 1.5 8.0 14.0

70.0 3.0 10.0 18.0

80.0 4.0 14.0 24.0

90.0 5.5 18.0 30.0

100.0 8.0 23.0 39.0

110.0 11.0 29.0 48.0

120.0 15.0 36.0 58.0

130.0 19.0 43.0 68.0

140.0 24.0 52.0 78.0

150.0 30.0 60.0 88.0

160.0 37.0 69.0 98.0

170.0 45.0 79.0 108.0

180.0 55.0 89.0 118.0

Cuadro N° 6.2: Cálculo del Coeficiente de Escorrentía

Método de la Misión Alemana Método de L - Turc

Precipitación Media Anual: P 735.7 mm Temperatura Media Anual: T 6.4 °C

Evaporación Total Anual: ETP 1002.2 mm Coeficiente de Temperatura: L 473.1

Déficit de Escurrimiento: D 403.9 mm/año

Coeficiente de Escorrentía: C 0.63 Coeficiente de Escorrentía: C 0.45

Cuadro N° 6.4: Coeficientes deCuadro N° 6.3: Características Generales de la Microcuenca Cálculo - Precipitación Efectiva

Area de la Microcuenca: A 112.27 Km2 Coef. Curva I Curva II Curva IIIAltitud Media de la Microcuenca: H 4136 msnm -0.047000 -0.106500 -0.417700

Pendiente Media de la Microcuenca 0.38 m/m 0.009400 0.147700 0.379500

Precipitación Media Anual: P 735.7 mm -0.000500 -0.002900 -0.010100

Evaporación Total Anual: ETP 1002.2 mm 0.000020 0.000050 0.000200

Temperatura Media Anual: T 6.4 °C -5.00E-08 -2.00E-07 -9.00E-07

Déficit de Escurrimiento: D 403.9 mm/año 2.00E-10 2.00E-10 1.00E-09

Coeficiente de Escorrentía: C 0.45Coeficiente de Agotamiento: a 0.0181 El rango de aplicación de los Relación de Caudales (30 días): bo 0.581 coeficientes de la ecuación Area de lagunas y acuíferos 15 Km2 Polinómica de la PE estáGasto Mensual de Retención: R 40.1 mm/año comprendida para 0 < P < 250 mm

a0

a1

a2

a3

a4

a5

0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

Figura 6.1: Porción de Precipitación Efectiva Según Bureao Of Reclamation

Curva I Curva II Curva III

Precipitación Mensual (mm)

Pre

cip

ita

ció

n E

fec

tiv

a (

mm

)

CUADRO N° 6.5: GENERACION DE CAUDALES MEDIOS MENSUALES PARA EL AÑO PROMEDIO

PRECIPITACION MENSUAL CONTRIBUCION DE LA RETENCION CAUDALES

N° P Efectiva Gasto Abastecimiento GENERADOS

MES días del Total PE II PE III PE bi Gi ai Ai

mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes mm/mes m3/s

1 2 3 4 5 6 7 8 9 10 11 12

Enero 30 115.5 23.8 77.2 72.4 0.000 0.0 0.219 8.8 63.6 2.76

Febrero 28 113.1 22.8 73.9 69.3 0.000 0.0 0.209 8.4 60.9 2.83

Marzo 31 92.4 15.0 47.3 44.4 0.000 0.0 0.134 5.4 39.0 1.64

Abril 30 53.1 5.5 14.5 13.7 0.581 17.5 0.041 1.7 29.6 1.28

Mayo 31 17.9 1.9 4.2 4.0 0.325 9.8 0.012 0.5 13.3 0.56

Junio 30 19.1 2.0 4.4 4.2 0.196 5.9 0.013 0.5 9.6 0.42

Julio 31 10.0 1.1 2.6 2.4 0.106 3.2 0.007 0.3 5.3 0.22

Agosto 31 21.7 2.2 4.9 4.7 0.060 1.8 0.014 0.6 5.9 0.25

Setiem. 30 45.5 4.5 11.1 10.5 0.038 1.2 0.032 1.3 10.4 0.45

Octubre 31 68.2 8.3 23.9 22.5 0.020 0.6 0.068 2.7 20.4 0.85

Noviem. 30 86.1 13.0 40.3 37.8 0.000 0.0 0.114 4.6 33.3 1.44

Diciem. 31 93.1 15.2 48.1 45.2 0.000 0.0 0.136 5.5 39.7 1.66

AÑO 735.7 115.4 352.5 331.1 1.327 40.1 1.000 40.1 331.1 1.20

Coeficientes 0.45 0.090 0.910 1.000

Fuente: Elaboración propia

CUADRO N° 6.6: CALCULO DE LOS COEFICIENTES DE CORRELACION PARA EL AÑO PROMEDIO

Qt Qt-1 PE63.6 39.7 72.4

60.9 63.6 69.3 Resultado de la regresión39.0 60.9 44.4 Constante 3.6205729.6 39.0 13.7 Error típico de est Y 3.8916513.3 29.6 4.0 R cuadrado 0.966149.6 13.3 4.2 Nº de observaciones 125.3 9.6 2.4 Grados de libertad 95.9 5.3 4.7

10.4 5.9 10.5 Coeficientes X 0.23843 0.6303420.4 10.4 22.5 Error típico del coe 0.08987 0.0712533.3 20.4 37.8

39.7 33.3 45.2


CUADRO N° 6.7: PRECIPITACION EFECTIVA MENSUAL GENERADA (m.m) - MICROCUENCA MUYLOPERIODO: 1973 - 1999

DEPARTAMENTO: JUNIN LATITUD : 11°24' -11°33'PROVINCIA : TARMA LONGITUD : 75°45' - 75°54'DISTRITO : TARMA ALTITUD MEDIA : 4,136 msnm

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.1973 37.3 65.3 93.4 29.4 3.7 3.4 3.0 8.1 14.8 47.6 21.6 94.9 422.6

1974 66.4 62.9 41.9 16.1 0.2 4.7 0.1 7.8 4.8 10.1 14.3 16.9 246.3

1975 42.1 68.5 55.4 10.3 5.5 1.1 0.4 7.0 18.0 25.9 40.2 46.9 321.2

1976 92.3 64.3 40.5 10.0 5.4 6.2 1.8 3.9 28.0 10.6 16.2 19.2 298.4

1977 56.8 45.0 28.7 18.8 3.8 0.5 1.6 0.4 5.4 7.5 81.5 47.8 297.9

1978 65.9 75.2 32.1 12.8 2.3 1.6 2.3 1.9 20.4 27.5 34.5 26.2 302.8

1979 38.6 69.2 72.1 22.0 2.9 0.1 0.4 1.2 2.5 28.2 29.0 27.7 293.8

1980 57.0 80.7 44.1 3.0 5.4 1.6 3.0 3.7 6.9 30.3 41.7 28.9 306.5

1981 61.1 85.8 42.2 6.7 1.6 0.6 0.0 13.3 11.2 40.1 74.4 60.8 397.7

1982 82.2 97.2 37.6 15.4 0.1 4.6 0.4 3.6 18.5 43.2 45.6 62.1 410.5

1983 60.8 15.2 43.0 8.2 0.5 8.7 0.6 4.4 13.8 23.9 9.8 38.8 227.7

1984 68.6 58.0 34.3 22.4 1.4 5.5 0.3 3.2 6.8 28.5 41.8 54.7 325.5

1985 77.0 74.2 55.8 17.8 2.5 5.4 1.4 1.2 12.4 15.2 33.0 70.4 366.2

1986 85.3 90.4 77.1 41.4 5.0 0.1 2.7 8.9 17.6 16.6 15.6 30.2 390.8

1987 88.2 59.3 34.2 7.0 5.2 3.3 5.3 4.6 13.5 25.2 73.4 78.7 397.8

1988 94.6 65.5 38.7 29.0 1.7 0.0 0.2 0.0 11.0 32.8 50.8 66.6 391.0

1989 71.5 66.5 56.6 18.6 1.5 1.0 0.3 9.7 16.0 28.2 55.6 35.6 361.0

1990 122.5 28.7 21.4 14.4 7.4 19.9 2.0 9.7 17.5 59.3 60.5 44.3 407.6

1991 38.0 36.9 63.7 12.5 6.1 6.7 0.4 0.0 27.0 25.0 32.1 31.6 279.9

1992 34.5 32.7 19.9 11.1 4.2 7.1 1.3 2.2 20.3 32.8 54.2 42.8 263.1

1993 60.0 54.3 53.3 14.8 2.4 7.6 2.2 4.3 13.5 40.6 76.2 54.1 383.3

1994 66.6 75.0 41.3 34.4 4.4 0.4 0.0 2.1 13.2 21.8 23.2 57.7 340.0

1995 80.3 72.0 40.1 20.7 1.6 0.0 1.8 0.7 7.6 15.4 25.4 49.3 314.9

1996 40.0 50.8 32.7 22.6 1.9 0.0 0.0 1.3 3.8 13.6 21.6 24.6 213.0

1997 57.1 77.4 29.1 11.4 1.8 0.2 0.3 6.5 24.2 22.5 29.6 45.9 305.9

1998 72.4 52.3 31.0 12.4 1.6 0.1 0.0 0.0 0.8 24.3 35.1 31.7 261.7

1999 85.4 113.0 57.6 26.5 2.4 0.9 3.1 1.2 13.4 22.5 39.9 45.7 411.7

MAX. 122.5 113.0 93.4 41.4 7.4 19.9 5.3 13.3 28.0 59.3 81.5 94.9 422.6

MED. 66.7 64.3 45.1 17.4 3.1 3.4 1.3 4.1 13.4 26.6 39.9 45.7 331.1

MIN. 34.5 15.2 19.9 3.0 0.1 0.0 0.0 0.0 0.8 7.5 9.8 16.9 213.0

D.EST 21.0 21.3 17.2 9.0 1.9 4.3 1.3 3.6 7.2 12.0 20.2 18.7 61.4


CUADRO N° 6.8: NUMEROS ALEATORIOS GENERADOS CON DISTRIBUCION NORMAL PERIODO: 1973 - 1999

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.1973 -1.5966 0.0877 -2.3904 -0.7550 -0.4466 -0.5589 0.5912 -0.0289 0.2563 -1.6837 -0.9332 0.3884

1974 0.0105 -1.2520 0.2171 -0.5433 -0.3381 -0.8931 -0.0941 0.2287 1.4146 0.1854 0.4906 -2.4223

1975 1.2152 0.4687 -0.8456 0.3683 1.5782 -0.2601 -2.9578 1.1470 0.8752 0.3940 -0.0317 -0.0639

1976 0.4135 0.7820 -1.1063 -0.2680 -0.2134 0.3693 0.3989 -1.4225 -1.1822 1.2195 -0.7473 0.1751

1977 1.1343 -1.8866 2.0323 1.0444 0.9040 -0.2176 1.3658 -0.0089 0.6460 -0.1192 -0.1762 1.1980

1978 1.2940 3.3463 0.8647 1.2500 -1.1365 0.7473 -0.1073 -0.0938 -0.8834 0.9089 0.5041 0.0432

1979 -0.5380 0.7640 -2.1026 -0.4054 -0.6222 -0.0107 1.2196 0.3394 1.0837 -1.5326 -1.4284 -2.0015

1980 -0.0281 -0.0294 1.3944 1.3643 -0.0370 1.6010 -2.2418 0.3014 -0.9036 -0.8080 0.9567 1.7862

1981 2.0798 -0.5048 -0.5833 0.8015 1.6967 0.9477 2.9724 0.2772 -0.7543 1.2438 0.0612 3.3345

1982 1.5612 -0.4666 -0.5615 -0.3720 0.0536 -1.4942 1.1692 1.2333 -1.7584 -0.4950 -1.3314 2.4762

1983 1.1253 0.3445 -0.2926 2.2076 1.6588 1.8781 -1.2175 2.4458 0.2774 0.0868 -0.8268 1.6390

1984 -0.2910 1.2540 -0.3981 0.7117 0.1478 0.7956 -0.5205 0.5992 -0.5759 0.8457 -0.1815 0.3038

1985 -0.0233 0.7413 -2.4322 -0.0054 0.1338 -0.4700 1.3301 0.4522 0.3454 -0.7761 1.7475 1.0055

1986 1.0737 -0.8534 0.9921 0.6119 0.8652 0.7960 0.4671 -1.5919 0.1545 -0.2919 0.2908 -0.7297

1987 -0.1983 -0.0991 -1.4990 -0.3861 -0.2292 -1.0239 -0.0141 0.0807 -0.4402 0.9030 -0.4385 -0.4770

1988 -0.6155 0.5819 0.9618 -0.2981 0.7943 -0.8993 0.8579 2.2559 1.8038 -0.6143 1.8579 -0.7686

1989 0.3218 -0.4926 -0.1904 -1.4572 -0.6208 -0.3268 -0.1383 0.6889 0.3688 -0.0544 0.4862 -0.1924

1990 -0.5111 1.2570 -0.3120 -0.5204 -1.8799 1.6165 1.7021 -0.1901 -1.6973 0.3068 0.8003 0.6873

1991 0.2263 0.9882 -0.1751 -0.4812 0.3291 1.0280 0.1911 0.7741 0.1678 -0.1188 -1.0215 -0.4340

1992 -2.8984 0.4776 -3.2016 -0.3364 1.2483 -0.1691 1.3768 -0.4863 0.5569 -0.7975 -0.7948 -0.1910

1993 2.7165 -0.3105 0.9035 0.7106 -0.3804 1.7623 -0.3663 0.4761 0.6188 0.8545 -0.9094 1.3865

1994 0.9527 0.5397 -0.4790 -0.7509 0.0763 1.0703 -0.8323 -1.8798 -0.0859 -2.2105 -2.0135 0.3222

1995 -0.9392 -1.2930 -0.2745 -0.2154 1.6186 0.4031 -0.1998 0.8548 -0.4938 2.3731 1.4402 0.2050

1996 -1.3015 -0.8747 0.5360 0.9330 -0.0735 0.0471 0.1307 -1.3836 0.5154 0.7651 -0.6483 0.3117

1997 -0.1869 0.1235 0.6896 -0.5657 -0.8743 1.9618 -0.2437 0.6130 -0.3700 -0.0862 -1.1250 2.8090

1998 0.5839 0.5272 0.5156 -0.6806 0.9193 1.1360 1.0753 -1.3536 0.0180 0.3067 -2.0816 0.3229

1999 -0.2743 -1.4116 -0.4391 -1.9478 0.4749 0.8444 -1.7578 0.2782 -0.9800 0.5708 1.4355 1.1164

MAX. 2.717 3.346 2.032 2.208 1.697 1.962 2.972 2.446 1.804 2.373 1.858 3.335

MED. 0.197 0.104 -0.303 0.001 0.209 0.396 0.154 0.171 -0.038 0.051 -0.171 0.453

MIN. -2.898 -1.887 -3.202 -1.948 -1.880 -1.494 -2.958 -1.880 -1.758 -2.210 -2.082 -2.422

D.EST 1.180 1.063 1.243 0.916 0.909 0.967 1.267 1.049 0.886 0.994 1.092 1.296


CUADRO N° 6.9: DESCARGAS MEDIAS MENSUALES GENERADAS (mm) - RIO MUYLOPERIODO: 1973 - 1999


Coeficientes de Regresión Múltiple: 3.62057 0.23843 0.63034S 3.89165 R^2 0.96614

Modelo Matemático:

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.Prom. 58.7 56.5 39.6 32.8 12.5 8.9 4.3 5.4 13.0 24.0 35.0 40.2 331.1

1973 40.0 58.3 70.2 29.5 8.6 7.5 7.0 10.0 16.2 38.2 24.9 73.3 383.7

1974 55.0 56.3 46.9 20.4 5.6 7.7 5.3 11.1 11.5 19.2 18.9 30.0 288.0

1975 44.2 60.6 49.1 15.3 9.5 6.0 3.0 11.5 18.3 24.8 33.5 40.3 315.9

1976 72.6 59.2 40.1 13.4 9.1 9.2 5.8 7.8 24.8 17.1 21.3 25.5 305.7

1977 57.6 44.7 32.7 19.4 8.9 6.0 7.0 5.7 13.4 12.3 60.0 40.7 308.4

1978 59.8 64.1 32.3 17.2 6.4 6.6 6.7 6.1 19.0 24.5 40.0 29.9 312.7

1979 41.8 63.1 55.3 21.3 6.5 5.2 6.3 6.1 10.5 26.1 30.5 26.7 299.5

1980 49.5 69.5 45.6 11.6 8.6 7.1 5.4 7.6 9.8 28.4 37.8 29.5 310.4

1981 55.4 73.9 40.6 11.2 7.9 6.3 7.0 14.0 12.5 36.6 59.6 51.4 376.4

1982 69.8 82.2 36.6 15.7 5.6 7.0 6.4 10.1 17.0 39.2 45.6 56.8 392.0

1983 59.4 33.0 39.3 14.1 6.5 12.1 4.7 10.6 16.5 28.1 20.1 42.8 287.1

1984 60.8 49.0 34.3 21.6 6.1 10.6 4.5 8.6 11.4 28.9 34.6 48.5 319.0

1985 66.6 62.6 45.2 20.0 6.7 9.2 6.5 6.8 14.4 19.5 33.9 60.3 351.8

1986 74.0 74.9 63.7 34.9 9.0 6.4 7.2 9.7 18.2 18.5 21.7 36.5 374.9

1987 76.7 58.8 39.3 16.1 8.9 6.5 8.7 8.9 16.2 24.5 54.7 61.6 380.9

1988 81.1 59.4 38.1 25.5 7.4 4.5 6.4 7.4 15.7 29.7 50.0 59.8 385.0

1989 68.2 59.3 48.3 20.4 5.9 5.1 5.2 12.0 17.7 28.4 50.9 40.1 361.6

1990 96.7 36.8 28.4 17.2 8.3 18.6 7.3 12.5 17.7 48.0 54.4 41.6 387.5

1991 50.8 36.3 50.4 15.2 9.7 13.0 5.8 7.1 25.0 30.7 36.1 33.1 313.3

1992 35.4 33.2 25.9 14.0 9.5 11.1 6.8 6.3 22.8 31.0 45.8 38.4 280.2

1993 51.8 45.5 44.0 16.8 7.1 12.3 6.4 8.2 18.0 37.2 61.9 47.8 357.2

1994 58.6 62.2 39.8 28.8 8.2 7.6 4.5 5.5 16.2 24.7 31.5 51.6 339.2

1995 67.5 62.9 38.2 23.4 7.7 5.7 5.7 6.0 11.9 20.9 28.2 47.2 325.3

1996 44.0 50.0 33.7 24.1 6.6 5.0 5.1 4.9 9.2 17.8 23.5 30.6 254.5

1997 50.0 64.4 30.5 16.1 5.7 6.3 4.8 9.3 20.8 22.0 27.1 41.9 298.9

1998 61.6 52.4 30.8 14.8 6.7 6.0 5.5 4.9 9.1 24.4 30.7 33.8 280.6

1999 71.9 86.3 47.0 22.5 7.1 6.2 5.6 5.7 13.5 24.1 37.1 41.3 368.4

MAX. 96.7 86.3 70.2 34.9 9.7 18.6 8.7 14.0 25.0 48.0 61.9 73.3 392.0MED. 60.0 57.7 41.7 19.3 7.5 8.0 5.9 8.3 15.8 26.8 37.6 43.0 331.8MIN. 35.4 33.0 25.9 11.2 5.6 4.5 3.0 4.9 9.1 12.3 18.9 25.5 254.5D.EST 14.0 13.7 10.3 5.7 1.3 3.2 1.2 2.5 4.4 8.0 13.2 12.0 40.2Fuente: Elaboración propia

b1 b2 b3

Qt = b1 + b2*Qt-1 + b3*PEt + Z*S*(1 - R^2)^0.5

CUADRO N° 6.10: DESCARGAS MEDIAS MENSUALES GENERADAS (m3/s) - RIO MUYLOPERIODO: 1973 - 1999


Area 112.27 Km2

Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Prom.30 28 31 30 31 30 31 31 30 31 30 31 (m3/s)

1973 1.731 2.707 2.944 1.276 0.362 0.324 0.293 0.419 0.702 1.600 1.080 3.073 1.376

1974 2.384 2.613 1.967 0.885 0.234 0.336 0.221 0.464 0.498 0.805 0.820 1.258 1.040

1975 1.913 2.810 2.059 0.661 0.399 0.258 0.126 0.483 0.793 1.039 1.449 1.688 1.140

1976 3.145 2.746 1.681 0.580 0.382 0.399 0.241 0.328 1.073 0.717 0.921 1.067 1.107

1977 2.494 2.077 1.373 0.842 0.371 0.258 0.292 0.240 0.580 0.516 2.597 1.706 1.112

1978 2.590 2.974 1.353 0.746 0.267 0.286 0.279 0.258 0.824 1.029 1.734 1.253 1.133

1979 1.811 2.928 2.317 0.923 0.274 0.226 0.265 0.254 0.456 1.095 1.319 1.121 1.082

1980 2.143 3.227 1.911 0.502 0.358 0.305 0.228 0.319 0.426 1.190 1.639 1.237 1.124

1981 2.401 3.430 1.704 0.483 0.330 0.275 0.295 0.588 0.541 1.533 2.580 2.153 1.359

1982 3.022 3.815 1.534 0.680 0.235 0.303 0.268 0.424 0.737 1.643 1.975 2.380 1.418

1983 2.572 1.533 1.646 0.612 0.271 0.524 0.195 0.443 0.717 1.177 0.870 1.795 1.029

1984 2.633 2.273 1.440 0.935 0.257 0.457 0.190 0.361 0.495 1.211 1.500 2.033 1.149

1985 2.885 2.906 1.895 0.866 0.283 0.398 0.274 0.284 0.623 0.819 1.470 2.526 1.269

1986 3.206 3.477 2.671 1.512 0.377 0.279 0.302 0.407 0.790 0.777 0.941 1.530 1.356

1987 3.324 2.728 1.646 0.696 0.373 0.282 0.364 0.372 0.701 1.029 2.371 2.581 1.372

1988 3.512 2.755 1.595 1.106 0.311 0.196 0.270 0.308 0.680 1.246 2.166 2.505 1.388

1989 2.955 2.754 2.023 0.883 0.248 0.220 0.219 0.502 0.767 1.191 2.206 1.683 1.304

1990 4.189 1.707 1.189 0.743 0.350 0.804 0.308 0.522 0.766 2.012 2.358 1.744 1.391

1991 2.199 1.686 2.114 0.660 0.406 0.564 0.241 0.299 1.082 1.288 1.563 1.389 1.124

1992 1.533 1.543 1.084 0.607 0.398 0.481 0.286 0.266 0.986 1.301 1.983 1.609 1.006

1993 2.245 2.113 1.846 0.729 0.299 0.533 0.268 0.342 0.781 1.560 2.681 2.006 1.284

1994 2.540 2.885 1.668 1.245 0.342 0.327 0.191 0.232 0.702 1.033 1.366 2.163 1.225

1995 2.926 2.920 1.601 1.013 0.324 0.247 0.238 0.251 0.516 0.877 1.220 1.977 1.176

1996 1.906 2.321 1.415 1.043 0.278 0.217 0.212 0.206 0.399 0.744 1.018 1.281 0.920

1997 2.165 2.991 1.278 0.699 0.239 0.274 0.202 0.391 0.900 0.921 1.173 1.755 1.082

1998 2.668 2.430 1.292 0.641 0.280 0.261 0.232 0.204 0.393 1.023 1.329 1.417 1.014

1999 3.116 4.007 1.969 0.973 0.296 0.268 0.236 0.241 0.587 1.008 1.607 1.731 1.337

MAX. 4.189 4.007 2.944 1.512 0.406 0.804 0.364 0.588 1.082 2.012 2.681 3.073 1.418

MED. 2.600 2.680 1.749 0.835 0.316 0.345 0.249 0.348 0.686 1.125 1.627 1.802 1.197

MIN. 1.533 1.533 1.084 0.483 0.234 0.196 0.126 0.204 0.393 0.516 0.820 1.067 0.920

D.EST 0.607 0.637 0.433 0.248 0.056 0.138 0.048 0.105 0.191 0.333 0.572 0.505 0.145


CUADRO N° 6.11: ANALISIS DE FRECUENCIA DE DESCARGAS GENERADAS (m3/s) - RIO MUYLOPERIODO: 1973 - 1999


Orden Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Frec.1 4.189 4.007 2.944 1.512 0.406 0.804 0.364 0.588 1.082 2.012 2.681 3.073 3.6

2 3.512 3.815 2.671 1.276 0.399 0.564 0.308 0.522 1.073 1.643 2.597 2.581 7.1

3 3.324 3.477 2.317 1.245 0.398 0.533 0.302 0.502 0.986 1.600 2.580 2.526 10.7

4 3.206 3.430 2.114 1.106 0.382 0.524 0.295 0.483 0.900 1.560 2.371 2.505 14.3

5 3.145 3.227 2.059 1.043 0.377 0.481 0.293 0.464 0.824 1.533 2.358 2.380 17.9

6 3.116 2.991 2.023 1.013 0.373 0.457 0.292 0.443 0.793 1.301 2.206 2.163 21.4

7 3.022 2.974 1.969 0.973 0.371 0.399 0.286 0.424 0.790 1.288 2.166 2.153 25.0

8 2.955 2.928 1.967 0.935 0.362 0.398 0.279 0.419 0.781 1.246 1.983 2.033 28.6

9 2.926 2.920 1.911 0.923 0.358 0.336 0.274 0.407 0.767 1.211 1.975 2.006 32.1

10 2.885 2.906 1.895 0.885 0.350 0.327 0.270 0.391 0.766 1.191 1.734 1.977 35.7

11 2.668 2.885 1.846 0.883 0.342 0.324 0.268 0.372 0.737 1.190 1.639 1.795 39.3

12 2.633 2.810 1.704 0.866 0.330 0.305 0.268 0.361 0.717 1.177 1.607 1.755 42.9

13 2.590 2.755 1.681 0.842 0.324 0.303 0.265 0.342 0.702 1.095 1.563 1.744 46.4

14 2.572 2.754 1.668 0.746 0.311 0.286 0.241 0.328 0.702 1.039 1.500 1.731 50.0

15 2.540 2.746 1.646 0.743 0.299 0.282 0.241 0.319 0.701 1.033 1.470 1.706 53.6

16 2.494 2.728 1.646 0.729 0.296 0.279 0.238 0.308 0.680 1.029 1.449 1.688 57.1

17 2.401 2.707 1.601 0.699 0.283 0.275 0.236 0.299 0.623 1.029 1.366 1.683 60.7

18 2.384 2.613 1.595 0.696 0.280 0.274 0.232 0.284 0.587 1.023 1.329 1.609 64.3

19 2.245 2.430 1.534 0.680 0.278 0.268 0.228 0.266 0.580 1.008 1.319 1.530 67.9

20 2.199 2.321 1.440 0.661 0.274 0.261 0.221 0.258 0.541 0.921 1.220 1.417 71.4

21 2.165 2.273 1.415 0.660 0.271 0.258 0.219 0.254 0.516 0.877 1.173 1.389 75.0

22 2.143 2.113 1.373 0.641 0.267 0.258 0.212 0.251 0.498 0.819 1.080 1.281 78.6

23 1.913 2.077 1.353 0.612 0.257 0.247 0.202 0.241 0.495 0.805 1.018 1.258 82.1

24 1.906 1.707 1.292 0.607 0.248 0.226 0.195 0.240 0.456 0.777 0.941 1.253 85.7

25 1.811 1.686 1.278 0.580 0.239 0.220 0.191 0.232 0.426 0.744 0.921 1.237 89.3

26 1.731 1.543 1.189 0.502 0.235 0.217 0.190 0.206 0.399 0.717 0.870 1.121 92.9

27 1.533 1.533 1.084 0.483 0.234 0.196 0.126 0.204 0.393 0.516 0.820 1.067 96.4

P(25%) 3.022 2.974 1.969 0.973 0.371 0.399 0.286 0.424 0.790 1.288 2.166 2.153

P(50%) 2.572 2.754 1.668 0.746 0.311 0.286 0.241 0.328 0.702 1.039 1.500 1.731

P(75%) 2.165 2.273 1.415 0.660 0.271 0.258 0.219 0.254 0.516 0.877 1.173 1.389

P(90%) 1.795 1.658 1.260 0.564 0.239 0.220 0.190 0.227 0.421 0.739 0.911 1.214

MED. 2.600 2.680 1.749 0.835 0.316 0.345 0.249 0.348 0.686 1.125 1.627 1.802


Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic.

0.0

0.4

0.8

1.2

1.6

2.0

2.4

2.8

3.2

Figura 6.2: Variación Mensual de la Descarga para Cuatro Niveles de Persis-tencia - Río Muylo

P(50%) P(75%) P(90%) P(25%)

Mes

Ca

ud

al

(m3

/s)

CUADRO N° ##: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA CHUMBAOPERIODO: 1970 - 1998

DEPARTAMENTO: APURIMAC LATITUD : 13°39'PROVINCIA : ANDAHUAYLAS LONGITUD : 73°22'DISTRITO : SAN JERONIMO ALTITUD MEDIA : 4,119 msnm

factor 1.464Año Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Tot.

1973 64.5 114.8 191.4 89.8 21.7 19.1 23.6 42.8 50.0 121.9 46.7 193.3 979.61974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 538.01975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 725.61976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 94.8 27.2 34.9 39.1 683.41977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 644.01978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 669.41979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 629.51980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 674.11981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 871.31982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 884.21983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 532.91984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 715.11985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3 789.91986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 885.61987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 892.01988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 825.21989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 799.81990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4 151.8 130.5 90.2 1004.51991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 664.71992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 635.21993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 874.91994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 743.71995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 25.7 39.5 54.8 100.4 658.11996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 457.21997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 674.01998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 534.01999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1 877.2

MAX. 212.0 198.7 191.4 126.2 43.2 112.4 41.4 70.4 94.8 151.8 176.0 193.3 1004.5MED. 115.5 113.1 92.5 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1 735.7MIN. 59.7 26.7 40.7 9.3 0.7 0.0 0.0 0.0 2.6 19.1 21.2 34.4 457.2D.EST 36.4 37.4 35.2 27.4 11.4 24.5 10.4 19.0 24.3 30.8 43.7 38.2 142.5

CUADRO N° ##: NUMEROS ALEATORIOS ENTRE 0 Y 1 CON DISTRIBUCION UNIFORMEPERIODO: 1973 - 1999


1974 0.4308 0.0390 0.6368 0.1154 0.6679 0.3300 0.2397 0.5871 0.6983 0.6306 0.3038 0.5271 0.2831

1975 0.0695 0.5002 0.2685 0.0925 0.5840 0.2966 0.4353 0.5441 0.1900 0.6832 0.6942 0.3458 0.7695

1976 0.0386 0.3342 0.3367 0.4434 0.6301 0.9045 0.2027 0.2828 0.6400 0.5659 0.7573 0.2750 0.6195

1977 0.3205 0.9987 0.4761 0.3652 0.0228 0.5469 0.0504 0.9945 0.8622 0.9010 0.9721 0.9747 0.2875

1978 0.1631 0.6967 0.9935 0.7892 0.3049 0.8553 0.3364 0.4629 0.6528 0.0437 0.6961 0.2580 0.1589

1979 0.2939 0.6672 0.7565 0.3026 0.8509 0.2194 0.1304 0.6759 0.4598 0.7435 0.9912 0.3365 0.9385

1980 0.7773 0.5262 0.4573 0.4102 0.2743 0.4175 0.8553 0.8287 0.5854 0.4228 0.0497 0.5734 0.6974

1981 0.9489 0.0724 0.9038 0.5991 0.6842 0.9347 0.1843 0.6908 0.1881 0.0846 0.0094 0.6021 0.2939

1982 0.6514 0.0830 0.2232 0.2768 0.2222 0.7038 0.1943 0.5948 0.9618 0.2362 0.4174 0.2342 0.3822

1983 0.2490 0.1083 0.8594 0.4986 0.2843 0.8115 0.8887 0.3109 0.6152 0.4810 0.8338 0.9863 0.5999

1984 0.1148 0.9121 0.6132 0.7933 0.4219 0.1438 0.5523 0.1240 0.3337 0.0225 0.8943 0.6656 0.3557

1985 0.7931 0.2642 0.7612 0.1613 0.2348 0.9238 0.3041 0.4028 0.5137 0.8232 0.2409 0.0508 0.3358

1986 0.2017 0.0289 0.1742 0.1026 0.0507 0.9948 0.2834 0.5810 0.3870 0.7697 0.5613 0.1127 0.2014

1987 0.5794 0.5694 0.3257 0.5483 0.8250 0.5402 0.9241 0.0615 0.3935 0.0582 0.7307 0.5625 0.7262

1988 0.9890 0.9846 0.2464 0.3998 0.7251 0.5558 0.0606 0.8617 0.2818 0.1881 0.3018 0.0936 0.7613

1989 0.0020 0.5593 0.9155 0.5658 0.3756 0.9768 0.2755 0.2236 0.9432 0.8927 0.0406 0.1815 0.6253

1990 0.9730 0.8251 0.1976 0.5912 0.6485 0.0984 0.9037 0.3320 0.4819 0.3041 0.0711 0.9374 0.5360

1991 0.0232 0.5899 0.6701 0.2936 0.1982 0.6743 0.1245 0.3866 0.7470 0.1784 0.6472 0.8385 0.7639

1992 0.0209 0.8988 0.0941 0.4640 0.6830 0.2049 0.1206 0.6767 0.4861 0.6074 0.4625 0.6398 0.5360

1993 0.9944 0.2438 0.1433 0.3480 0.8542 0.4079 0.3756 0.1740 0.9283 0.8524 0.6232 0.5171 0.5225

1994 0.5974 0.1101 0.3956 0.0963 0.6422 0.4439 0.8150 0.6383 0.4682 0.4390 0.2634 0.8837 0.9670

1995 0.9204 0.6504 0.4682 0.8472 0.3907 0.1235 0.0486 0.3176 0.3355 0.6946 0.4244 0.6362 0.9386

1996 0.5266 0.5508 0.6573 0.4474 0.0805 0.1793 0.3080 0.5329 0.7225 0.8907 0.0572 0.6354 0.2149

1997 0.0651 0.3019 0.0823 0.8944 0.0891 0.1042 0.6126 0.7191 0.1848 0.4150 0.4599 0.5220 0.6394

1998 0.2411 0.8767 0.2852 0.8856 0.0838 0.4359 0.3642 0.7133 0.8737 0.9190 0.0960 0.2665 0.9403

1999 0.8503 0.4798 0.0241 0.0434 0.9115 0.4016 0.6408 0.7491 0.6542 0.9161 0.1723 0.2275 0.49461999 0.3369 0.2665 0.4642 0.9731 0.8209 0.7386 0.8073 0.1736 0.7256 0.7040 0.2982 0.8958 0.2036

MAX. 0.9944 0.9987 0.9935 0.8944 0.9368 0.9948 0.9241 0.9945 0.9618 0.9190 0.9912 0.9863 0.967MED. 0.4628 0.4929 0.4716 0.4231 0.4695 0.5049 0.4101 0.5096 0.5439 0.5415 0.4666 0.4879 5.784MIN. 0.0020 0.0289 0.0241 0.0434 0.0228 0.0984 0.0486 0.0615 0.0958 0.0225 0.0094 0.0508 0.159

D.EST 0.3536 0.3074 0.2896 0.2646 0.2946 0.2957 0.2948 0.2408 0.2508 0.3096 0.3141 0.2800 0.244

CUADRO N° ##: PRECIPITACION TOTAL MENSUAL (m.m)ESTACION LA OROYA

DEPARTAMENTO: JUNIN LATITUD : 11°31'PROVINCIA : YAULI LONGITUD : 75°54'DISTRITO : LA OROYA ALTITUD : 3,160 msnm


1974 87.9 84.5 65.6 37.6 1.1 20.4 0.6 31.5 12.3 19.7 23.6 26.3 411.1

1975 55.7 92.0 86.7 24.1 24.4 4.6 2.2 28.4 46.5 50.6 66.3 72.9 554.4

1976 122.0 86.4 63.5 23.4 23.9 26.7 10.7 15.8 72.4 20.8 26.7 29.9 522.2

1977 75.2 60.4 45.0 43.9 17.1 2.0 9.4 1.5 14.0 14.6 134.5 74.4 492.0

1978 87.1 101.0 50.3 29.9 10.2 7.1 13.7 7.9 52.8 53.8 56.9 40.8 511.5

1979 51.0 93.0 112.9 51.3 13.0 0.2 2.2 4.7 6.6 55.1 47.9 43.0 480.9

1980 75.3 108.4 69.1 7.1 24.1 7.1 18.0 15.0 17.9 59.3 68.8 45.0 515.1

1981 80.8 115.2 66.0 15.5 7.1 2.5 0.0 53.8 29.0 78.5 122.6 94.6 665.6

1982 108.7 130.6 58.8 35.8 0.5 20.0 2.4 14.5 48.0 84.4 75.2 96.6 675.5

1983 80.4 20.4 67.4 19.2 2.2 37.3 3.6 17.8 35.6 46.7 16.2 60.4 407.2

1984 90.7 77.9 53.8 52.1 6.0 23.8 1.6 13.1 17.6 55.8 68.9 85.0 546.3

1985 101.8 99.7 87.3 41.5 11.1 23.1 8.4 5.0 32.0 29.7 54.5 109.5 603.6

1986 112.8 121.4 120.8 96.4 22.2 0.4 16.0 36.0 45.5 32.5 25.7 47.0 676.7

1987 116.7 79.6 53.5 16.3 23.4 14.3 31.6 18.5 35.1 49.2 121.0 122.4 681.6

1988 125.1 88.0 60.6 67.6 7.8 0.0 1.4 0.0 28.4 64.2 83.7 103.7 630.5

1989 94.5 89.3 88.7 43.3 6.9 4.2 1.5 39.1 41.4 55.1 91.7 55.3 611.0

1990 162.0 38.6 33.5 33.5 33.0 85.9 11.9 39.2 45.4 116.0 99.7 68.9 767.6

1991 50.2 49.5 99.8 29.1 27.1 29.0 2.4 0.0 69.9 48.8 52.9 49.1 507.8

1992 45.6 43.9 31.1 25.9 18.9 30.8 7.9 8.7 52.5 64.1 89.3 66.6 485.3

1993 79.4 72.9 83.5 34.6 10.7 32.6 13.3 17.3 35.1 79.4 125.6 84.1 668.5

1994 88.1 100.8 64.6 80.1 19.8 1.6 0.0 8.4 34.3 42.6 38.2 89.7 568.2

1995 106.2 96.7 62.8 48.3 7.1 0.0 10.5 2.8 19.6 30.2 41.9 76.7 502.8

1996 52.9 68.2 51.3 52.6 8.6 0.0 0.0 5.4 9.8 26.7 35.7 38.2 349.4

1997 75.6 104.0 45.5 26.6 8.0 0.7 1.5 26.2 62.6 44.0 48.8 71.4 514.9

1998 95.7 70.3 48.6 28.9 7.3 0.5 0.0 0.0 2.0 47.5 57.8 49.3 407.9

1999 112.9 151.8 90.2 61.8 10.7 3.7 18.4 4.9 34.8 44.1 65.8 71.1 670.2

MAX. 162.0 151.8 146.2 96.4 33.0 85.9 31.6 53.8 72.4 116.0 134.5 147.7 767.6

MED. 88.3 86.4 70.6 40.6 13.7 14.6 7.7 16.6 34.8 52.1 65.8 71.1 562.1

MIN. 45.6 20.4 31.1 7.1 0.5 0.0 0.0 0.0 2.0 14.6 16.2 26.3 349.4

D.EST 27.8 28.6 26.9 20.9 8.7 18.7 8.0 14.5 18.6 23.5 33.4 29.2 108.9

isoyeta 650 1.65 1070.7

700 58.33 40832.9

750 93.51 70130.1

800 65.75 52596.4

850 26.99 22938.2

900 41.42 37281.6

950 24.76 23519.6

312.4 2E+05 795

CUADRO N° 5.6: PRECIPITACION TOTAL MENSUAL GENERADA (m.m) - MICROCUENCA MUYLOPERIODO: 1973 - 1999


factor 1.3089


1974 115.0 110.6 85.9 49.2 1.4 26.7 0.8 41.2 16.1 25.8 30.9 34.4 538.1

1975 72.9 120.4 113.5 31.5 31.9 6.0 2.9 37.2 60.9 66.2 86.8 95.4 725.6

1976 159.7 113.1 83.1 30.6 31.3 34.9 14.0 20.7 94.8 27.2 34.9 39.1 683.5

1977 98.4 79.1 58.9 57.5 22.4 2.6 12.3 2.0 18.3 19.1 176.0 97.4 644.0

1978 114.0 132.2 65.8 39.1 13.4 9.3 17.9 10.3 69.1 70.4 74.5 53.4 669.5

1979 66.8 121.7 147.8 67.1 17.0 0.3 2.9 6.2 8.6 72.1 62.7 56.3 629.4

1980 98.6 141.9 90.4 9.3 31.5 9.3 23.6 19.6 23.4 77.6 90.0 58.9 674.2

1981 105.8 150.8 86.4 20.3 9.3 3.3 0.0 70.4 38.0 102.7 160.5 123.8 871.2

1982 142.3 170.9 77.0 46.9 0.7 26.2 3.1 19.0 62.8 110.5 98.4 126.4 884.1

1983 105.2 26.7 88.2 25.1 2.9 48.8 4.7 23.3 46.6 61.1 21.2 79.1 533.0

1984 118.7 102.0 70.4 68.2 7.9 31.2 2.1 17.1 23.0 73.0 90.2 111.3 715.0

1985 133.2 130.5 114.3 54.3 14.5 30.2 11.0 6.5 41.9 38.9 71.3 143.3 790.0

1986 147.6 158.9 158.1 126.2 29.1 0.5 20.9 47.1 59.6 42.5 33.6 61.5 885.7

1987 152.7 104.2 70.0 21.3 30.6 18.7 41.4 24.2 45.9 64.4 158.4 160.2 892.1

1988 163.7 115.2 79.3 88.5 10.2 0.0 1.8 0.0 37.2 84.0 109.6 135.7 825.2

1989 123.7 116.9 116.1 56.7 9.0 5.5 2.0 51.2 54.2 72.1 120.0 72.4 799.7

1990 212.0 50.5 43.8 43.8 43.2 112.4 15.6 51.3 59.4 151.8 130.5 90.2 1004.7

1991 65.7 64.8 130.6 38.1 35.5 38.0 3.1 0.0 91.5 63.9 69.2 64.3 664.6

1992 59.7 57.5 40.7 33.9 24.7 40.3 10.3 11.4 68.7 83.9 116.9 87.2 635.2

1993 103.9 95.4 109.3 45.3 14.0 42.7 17.4 22.6 45.9 103.9 164.4 110.1 875.0

1994 115.3 131.9 84.6 104.8 25.9 2.1 0.0 11.0 44.9 55.8 50.0 117.4 743.7

1995 139.0 126.6 82.2 63.2 9.3 0.0 13.7 3.7 25.7 39.5 54.8 100.4 658.1

1996 69.2 89.3 67.1 68.8 11.3 0.0 0.0 7.1 12.8 34.9 46.7 50.0 457.3

1997 98.9 136.1 59.6 34.8 10.5 0.9 2.0 34.3 81.9 57.6 63.9 93.5 673.9

1998 125.3 92.0 63.6 37.8 9.6 0.7 0.0 0.0 2.6 62.2 75.7 64.5 533.9

1999 147.8 198.7 118.1 80.9 14.0 4.8 24.1 6.4 45.5 57.7 86.1 93.1 877.2

MAX. 212.0 198.7 191.4 126.2 43.2 112.4 41.4 70.4 94.8 151.8 176.0 193.3 1004.7MED. 115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1 735.7MIN. 59.7 26.7 40.7 9.3 0.7 0.0 0.0 0.0 2.6 19.1 21.2 34.4 457.3D.EST 36.4 37.4 35.2 27.4 11.4 24.5 10.4 19.0 24.3 30.8 43.7 38.2 142.5


CUADRO N° 5.7: ANALISIS DE FRECUENCIAS DE PRECIPITACION - MICROCUENCA MUYLOPERIODO: 1973 - 1999


Orden Ene. Feb. Mar. Abr. May. Jun. Jul. Ago. Set. Oct. Nov. Dic. Frec.1 212.0 198.7 191.4 126.2 43.2 112.4 41.4 70.4 94.8 151.8 176.0 193.3 3.6

2 163.7 170.9 158.1 104.8 35.5 48.8 24.1 51.3 91.5 121.9 164.4 160.2 7.1

3 159.7 158.9 147.8 89.8 31.9 42.7 23.6 51.2 81.9 110.5 160.5 143.3 10.7

4 152.7 150.8 130.6 88.5 31.5 40.3 23.6 47.1 69.1 103.9 158.4 135.7 14.3

5 147.8 141.9 118.1 80.9 31.3 38.0 20.9 42.8 68.7 102.7 130.5 126.4 17.9

6 147.6 136.1 116.1 68.8 30.6 34.9 17.9 41.2 62.8 84.0 120.0 123.8 21.4

7 142.3 132.2 114.3 68.2 29.1 31.2 17.4 37.2 60.9 83.9 116.9 117.4 25.0

8 139.0 131.9 113.5 67.1 25.9 30.2 15.6 34.3 59.6 77.6 109.6 111.3 28.6

9 133.2 130.5 109.3 63.2 24.7 26.7 14.0 24.2 59.4 73.0 98.4 110.1 32.1

10 125.3 126.6 90.4 57.5 22.4 26.2 13.7 23.3 54.2 72.1 90.2 100.4 35.7

11 123.7 121.7 88.2 56.7 21.7 19.1 12.3 22.6 50.0 72.1 90.0 97.4 39.3

12 118.7 120.4 86.4 54.3 17.0 18.7 11.0 20.7 46.6 70.4 86.8 95.4 42.9

13 115.3 116.9 85.9 49.2 14.5 9.3 10.3 19.6 45.9 66.2 86.1 93.5 46.4

14 115.0 115.2 84.6 46.9 14.0 9.3 4.7 19.0 45.9 64.4 75.7 93.1 50.0

15 114.0 114.8 83.1 45.3 14.0 6.0 3.1 17.1 45.5 63.9 74.5 90.2 53.6

16 105.8 113.1 82.2 43.8 13.4 5.5 3.1 11.4 44.9 62.2 71.3 87.2 57.1

17 105.2 110.6 79.3 39.1 11.3 4.8 2.9 11.0 41.9 61.1 69.2 79.1 60.7

18 103.9 104.2 77.0 38.1 10.5 3.3 2.9 10.3 38.0 57.7 63.9 72.4 64.3

19 98.9 102.0 70.4 37.8 10.2 2.6 2.1 7.1 37.2 57.6 62.7 64.5 67.9

20 98.6 95.4 70.0 34.8 9.6 2.1 2.0 6.5 25.7 55.8 54.8 64.3 71.4

21 98.4 92.0 67.1 33.9 9.3 0.9 2.0 6.4 23.4 42.5 50.0 61.5 75.0

22 72.9 89.3 65.8 31.5 9.3 0.7 1.8 6.2 23.0 39.5 46.7 58.9 78.6

23 69.2 79.1 63.6 30.6 9.0 0.5 0.8 3.7 18.3 38.9 46.7 56.3 82.1

24 66.8 64.8 59.6 25.1 7.9 0.3 0.0 2.0 16.1 34.9 34.9 53.4 85.7

25 65.7 57.5 58.9 21.3 2.9 0.0 0.0 0.0 12.8 27.2 33.6 50.0 89.3

26 64.5 50.5 43.8 20.3 1.4 0.0 0.0 0.0 8.6 25.8 30.9 39.1 92.9

27 59.7 26.7 40.7 9.3 0.7 0.0 0.0 0.0 2.6 19.1 21.2 34.4 96.4

P(25%) 142.3 132.2 114.3 68.2 29.1 31.2 17.4 37.2 60.9 83.9 116.9 117.4

P(50%) 115.0 115.2 84.6 46.9 14.0 9.3 4.7 19.0 45.9 64.4 75.7 93.1

P(75%) 98.4 92.0 67.1 33.9 9.3 0.9 2.0 6.4 23.4 42.5 50.0 61.5

P(90%) 65.5 56.1 55.9 21.1 2.6 0.0 0.0 0.0 12.0 26.9 33.1 47.8

MED. 115.5 113.1 92.4 53.1 17.9 19.1 10.0 21.7 45.5 68.2 86.1 93.1


1973

1974

1975

1976

1977

1978

1979

1980

1981

1982

1983

1984

1985

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

0

50

100

150

200

250

Figura 5.4: Serie Histórica de Precipitación Generada - Microcuenca Muylo

Tiempo (años)

Pre

cip

ita

ció

n (

mm

)


0

25

50

75

100

125

150

Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persis-tencia - Microcuenca Muylo

25% 50% 75% 90%

Mes

Pre

cip

ita

ció

n (

mm

)


0

25

50

75

100

125

150

Figura 5.5: Variación Mensual de la Precipitación para Cuatro Niveles de Persis-tencia - Microcuenca Muylo

25% 50% 75% 90%

Mes

Pre

cip

ita

ció

n (

mm

)

Año 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983Ene. 64.5 115.0 72.9 159.7 98.4 114.0 66.8 98.6 105.8 142.3 105.2Feb. 114.8 110.6 120.4 113.1 79.1 132.2 121.7 141.9 150.8 170.9 26.7Mar. 191.4 85.9 113.5 83.1 58.9 65.8 147.8 90.4 86.4 77.0 88.2Abr. 89.8 49.2 31.5 30.6 57.5 39.1 67.1 9.3 20.3 46.9 25.1May. 21.7 1.4 31.9 31.3 22.4 13.4 17.0 31.5 9.3 0.7 2.9Jun. 19.1 26.7 6.0 34.9 2.6 9.3 0.3 9.3 3.3 26.2 48.8Jul. 23.6 0.8 2.9 14.0 12.3 17.9 2.9 23.6 0.0 3.1 4.7Ago. 42.8 41.2 37.2 20.7 2.0 10.3 6.2 19.6 70.4 19.0 23.3Set. 50.0 16.1 60.9 94.8 18.3 69.1 8.6 23.4 38.0 62.8 46.6Oct. 121.9 25.8 66.2 27.2 19.1 70.4 72.1 77.6 102.7 110.5 61.1Nov. 46.7 30.9 86.8 34.9 176.0 74.5 62.7 90.0 160.5 98.4 21.2Dic. 193.3 34.4 95.4 39.1 97.4 53.4 56.3 58.9 123.8 126.4 79.1

1973 64.5114.8191.4

89.821.719.123.642.850.0

121.946.7

193.31974 115.0

110.685.949.2

1.426.7

0.841.216.125.830.934.4

1975 72.9120.4113.5

31.531.9

6.02.9

37.260.966.286.895.4

1976 159.7113.1

83.130.631.3

34.914.020.794.827.234.939.1

1977 98.4142.5 79.1

58.957.522.4

2.612.3

2.018.319.1

176.097.4

1978 114.0132.2

65.839.113.4

9.317.910.369.170.474.553.4

1979 66.8121.7147.8

67.117.0

0.32.96.28.6

72.162.756.3

1980 98.6141.9

90.49.3

31.59.3

23.619.623.477.690.058.9

1981 105.8

150.886.420.3

9.33.30.0

70.438.0

102.7160.5123.8

1982 142.3170.9

77.046.9

0.726.2

3.119.062.8

110.598.4

126.41983 105.2

26.788.225.1

2.948.8

4.723.346.661.121.279.1

1984 118.7102.0

70.468.2

7.931.2

2.117.123.073.090.2

111.31985 133.2

130.5114.3

54.314.530.211.0

6.541.9

38.971.3

143.31986 147.6

158.9158.1126.2

29.10.5

20.947.159.642.533.661.5

1987 152.7104.2

70.021.330.618.741.424.245.964.4

158.4160.2

1988 163.7115.2

79.388.510.2

0.01.80.0

37.284.0

109.6135.7

1989 123.7116.9116.1

56.79.05.52.0

51.254.272.1

120.072.4

1990 212.050.543.843.843.2

112.415.651.359.4

151.8130.5

90.21991 65.7

64.8130.6

38.135.538.0

3.10.0

91.563.969.264.3

1992 59.757.540.733.924.740.310.311.468.783.9

116.987.2

1993 103.995.4

109.345.314.042.717.422.645.9

103.9164.4110.1

1994 115.3131.9

84.6104.8

25.92.10.0

11.044.955.850.0

117.41995 139.0

126.682.263.2

9.30.0

13.73.7

25.739.554.8

100.41996 69.2

89.367.168.811.3

0.00.07.1

12.834.946.750.0

1997 98.9136.1

59.634.810.5

0.92.0

34.381.957.663.993.5

1998 125.392.063.637.8

9.60.70.00.02.6

62.275.764.5

1999 147.8198.7118.1

80.914.0

4.824.1

6.445.5

57.786.193.1

1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997118.7 133.2 147.6 152.7 163.7 123.7 212.0 65.7 59.7 103.9 115.3 139.0 69.2 98.9102.0 130.5 158.9 104.2 115.2 116.9 50.5 64.8 57.5 95.4 131.9 126.6 89.3 136.1

70.4 114.3 158.1 70.0 79.3 116.1 43.8 130.6 40.7 109.3 84.6 82.2 67.1 59.668.2 54.3 126.2 21.3 88.5 56.7 43.8 38.1 33.9 45.3 104.8 63.2 68.8 34.8

7.9 14.5 29.1 30.6 10.2 9.0 43.2 35.5 24.7 14.0 25.9 9.3 11.3 10.531.2 30.2 0.5 18.7 0.0 5.5 112.4 38.0 40.3 42.7 2.1 0.0 0.0 0.9

2.1 11.0 20.9 41.4 1.8 2.0 15.6 3.1 10.3 17.4 0.0 13.7 0.0 2.017.1 6.5 47.1 24.2 0.0 51.2 51.3 0.0 11.4 22.6 11.0 3.7 7.1 34.323.0 41.9 59.6 45.9 37.2 54.2 59.4 91.5 68.7 45.9 44.9 25.7 12.8 81.973.0 38.9 42.5 64.4 84.0 72.1 151.8 63.9 83.9 103.9 55.8 39.5 34.9 57.690.2 71.3 33.6 158.4 109.6 120.0 130.5 69.2 116.9 164.4 50.0 54.8 46.7 63.9

111.3 143.3 61.5 160.2 135.7 72.4 90.2 64.3 87.2 110.1 117.4 100.4 50.0 93.5

1998 1999125.3 147.8

92.0 198.763.6 118.137.8 80.9

9.6 14.00.7 4.80.0 24.10.0 6.42.6 45.5

62.2 57.775.7 86.164.5 93.1

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