OFICINA GENERAL DE ESTADISTICA E INFORMATIVA

ESTACION : CHONTALI / 000250 /DRE - 02 LAT.: 5°38' 37'' "S" DPTO: CAJAMARCAPARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 79°5'5'' "W" PROV: JAEN

ALT: 1627 msnm DIST. CHONTALI

AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV

1993 16.8 22.6 28.4 22.4 14.6 16.4 8.4 4.2 8.8 36.8 20.2 38.2

1994 48.4 17.4 32.2 26.8 19 26.6 12 6.4 22.7 19 13 24.2

1995 28.8 8.8 22.6 12.8 16.2 10.2 16 10.1 8 8.8 46.8 44.2

1996 38.4 27 38.8 28.6 26.2 5.3 6.2 10 22.4 40.8 32

1997 47 20.2 12.3 50.4 15.8 9.4 10.4 6.6 20 22.8 29.8

1998 24.5 32.8 25.6 51.3 35.1 22.4 5.8 4 11 36.2 34.7 19.8

1999 23.8 43 24.4 25.5 21 29 9.3 8.3 16.2 51.6 27.2 42.3

2000 11.6 34.3 92.5 30.6 31.2 24.6 12.8 6 27 8.5 6.7 24.2

2001 70.5 13.3 21.7 31.9 13.3 4.7 11 6.6 30 13.4 43.3 20.5

2002 27.2 18.2 17.4 24.7 21.5 6 20.3 1.7 15.3 28.8 29 19.9

2003 30.9 24.6 22.6 32 23.9 30.5 10.8 3.1 9.2 48 28.7 22.2

2004 46.6 7.8 33.1 52.2 17.8 12.3 7.8 5.6 15.5 50.3 20.3 24.8

2005 34.4 47.3 41.9 66.3 25.8 15 4.3 5.8 29.1 23.8 32.6 33.3

2006 25.8 24.6 44.2 42 15.7 34.1 5.3 3.2 3.5 28 45.6 21.9

2007 17.2 10.7 34.8 28.7 20.7 22.7 13.3 10.8 4.6 37.9 51.6 20.8

2008 20.8 66.2 25.1 31.4 11.4 12.2 11.9 6.9 15 36.9 69.5 11.5

2009 49.5 20.2 48.2 42 27.4 17.3 15.2 10.2 12.4 22.3 20.2 25.8

2010 12.4 77.9 56.7 19.4 17.6 15.5 4.5 7.8 13.5 14.9 18 30.2

2011 42.5 39.4 44.1 38.2 21.5 8.6 14.9 3.5 44.4 23.7 30.7 44.5

2012 42.1 46.6 38.8 83.7 48 12.3 13.6 6.4 3.7 46.4 46.9 24.3

2012 17.9 33.4 33.4 10.5 27.5 33.2 36.9 18.9 15.8 29.5 3.5 19.5

2014 29.1 19.6 52.3 20.9 27.4 23.3 12.7 12.4 5.3 27 22.3 19.6

OFICINA GENERAL DE ESTADISTICA E INFORMATIVA

ESTACION : LA CASCARILLA "CO" LAT.: 5°40'18.3'' "S" DPTO: CAJAMARCAPARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°53'51.6'' "W" PROV: JAEN

ALT: 2005 msnm DIST. JAEN

INFORMACIÓN PLUVIOMETRICA

AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC

1993 43 32.4 36.4 45.3 26.2 66 52 80 13.6 71.3 39.1 60.4

1994 22.8 29.4 26.5 39.4 49.5 13.6 8.6 13.5 32.3 21.8 70 56.9

1995 26.8 21.4 32.2 13.9 77.4 23.6 25.62 4.6 6.3 50 38.5 43.3

1996 31.2 37 33.4 57.2 26.9 30.7 3.8 24.2 29.4 41.2 15.4 17.1

1997 18.5 32.4 29.4 47.8 40.6 53.8 29.6 11.1 16.5 61.1 29.5 27.2

1998 49.9 41.1 32.4 65.3 82.6 29.8 10 8.9 23 43.1 42.2 35.9

1999 44.3 66.8 44.4 30.8 36.2 46 34.3 12.4 41 66.4 53 54.4

2000 42 59.8 65.8 41.8 45 40.7 17.3 15.4 83.2 13.2 20.7 19

2001 39.2 26.8 25.2 44.9 32.3 8.2 13 11 67.6 30.8 110.5 36

2002 24.3 43.2 23.2 36.6 67 13.8 33.7 30.9 23.8 52.6 25.8 23.9

2003 24.8 31.2 51.5 36.6 29.5 30.4 19 15.7 14.1 55.2 41.8 33

2004 72.7 25.3 27.7 29.1 49.7 24.5 12.4 12.2 28.6 30.3 45.3 45.6

2005 19.5 32.5 47.6 51.6 25.8 16.6 10.7 18.3 30.8 54 73.9 35.4

2006 45 47.2 39 33.3 24.5 98.6 3.3 8.3 9.7 41.1 67.6 50.4

2007 17.7 21.9 31.9 48.5 49.3 15.8 28.1 26 26.5 80.5 53.7 45.9

2008 36.9 67.9 41.8 20.2 42.6 34 28.4 17.3 8.2 52.5 38.3 5.2

2009 56.1 26.7 73.6 43.6 46.8 19.4 23.8 33 23.3 87.9 27.2 42.9

2010 23.8 50.2 17.7 66.7 17.7 14 3.8 11.4 14.2 38.3 15.6 36

2011 78.6 34.6 31.7 83 27.7 16.8 15.6 10.4 41.5 32 56 53.6

2012 70.3 49 67.3 61 17.7 25.1 27.4 12.6 8.2 27.7 40.5 47.7

2013 18.3 44.5 31.1 14.6 52.2 30 23.3 29 18.1 80.5 11 38.6

2014 25 40.1 58.7 23.1 90.2 24.6 8.8 12.3 14.1 29.3 33.3 28.1

OFICINA GENERAL DE ESTADISTICA E INFORMATIVA

ESTACION : JAEN / CP - 252/DRE - 02 LAT.: 5°40'39" "S" DPTO: CAJAMARCAPARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°46'46" "W" PROV: JAEN

ALT: 654 msnm DIST. JAENINFORMACIÓN PLUVIOMETRICA

AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC

1993 7.87 62.56 45.19 11.78 18.82 7.73 4.67 36.10 72.94 24.81 38.85 30.44

1994 14.70 58.46 35.44 57.94 13.87 12.24 6.56 4.75 48.20 7.54 17.39 14.06

1995 4.94 25.51 23.81 22.74 10.18 4.60 10.26 56.98 7.81 9.52 41.22 36.00

1996 7.90 25.70 18.00 11.20 16.50 14.70 0.50 6.70 13.70 19.80 18.40 38.00

1997 11.00 16.70 14.40 30.00 9.66 4.24 7.41 11.97 13.34 23.74 31.61 33.94

1998 26.59 76.25 41.16 37.27 31.44 18.50 3.10 21.82 23.25 29.68 35.65 15.39

1999 24.97 73.60 17.34 16.95 20.36 17.86 5.91 6.16 27.57 24.92 23.13 44.23

2000 7.10 70.45 49.15 39.80 67.99 18.06 8.18 75.14 40.81 3.61 10.89 18.02

2001 33.88 32.71 26.26 22.64 14.83 3.29 7.08 77.94 61.48 10.96 75.31 17.95

2002 7.26 31.63 38.37 18.24 27.04 4.05 12.70 1.26 8.14 25.28 34.01 29.71

2003 6.93 54.34 15.18 15.46 17.14 28.03 8.93 2.30 11.12 15.67 37.01 17.92

2004 7.50 6.80 17.70 30.60 38.10 18.00 2.40 7.20 17.00 19.40 18.20 12.00

2005 6.50 42.00 36.20 31.00 10.20 18.30 1.90 14.50 18.70 27.90 78.50 31.50

2006 18.50 38.70 23.00 9.40 13.50 26.50 1.30 8.50 5.60 11.70 15.50 16.00

2007 7.60 27.00 32.50 29.00 29.30 13.00 27.20 7.50 7.20 45.90 38.90 22.60

2008 17.00 37.20 63.70 10.20 15.80 26.90 17.40 3.40 9.93 24.57 77.48 9.96

2009 21.47 54.12 29.48 13.67 22.19 8.30 8.30 14.64 14.52 20.23 59.48 23.59

2010 16.60 32.80 5.50 41.50 12.50 13.30 4.00 22.90 10.70 24.00 12.10 30.00

2011 25.50 39.50 48.90 39.80 70.60 4.50 21.80 5.80 2.50 30.80 23.50 38.70

2012 23.80 32.60 22.50 27.50 7.80 17.00 6.40 6.80 5.20 26.00 23.20 12.20

2013 9.40 47.00 10.30 18.80 12.90 9.00 6.40 7.40 14.00 56.90 0.70 18.60

2014 1.40 20.00 50.00 59.20 45.30 8.20 10.00 8.50 6.50 9.40 30.80 22.70

CÁLCULOS

Año ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL PRO. ANUAL

P. MAX

1995 28.8 8.8 22.6 12.8 16.2 10.2 16 10.1 8 8.8 46.8 44.2 233.3 19.44 46.81996 38.4 27 38.8 28.6 26.2 5.3 6.2 10 22.4 40.8 32 9.6 285.3 23.78 40.81997 47 20.2 12.3 50.4 15.8 9.4 10.4 6.6 20 22.8 29.8 35 279.7 23.31 50.41998 24.5 32.8 25.6 51.3 35.1 22.4 5.8 4 11 36.2 34.7 19.8 303.2 25.27 51.31999 23.8 43 24.4 25.5 21 29 9.3 8.3 16.2 51.6 27.2 42.3 321.6 26.80 51.62000 11.6 34.3 92.5 30.6 31.2 24.6 12.8 6 27 8.5 6.7 24.2 310 25.83 92.52001 70.5 13.3 21.7 31.9 13.3 4.7 11 6.6 30 13.4 43.3 20.5 280.2 23.35 70.52002 27.2 18.2 17.4 24.7 21.5 6 20.3 1.7 15.3 28.8 29 19.9 230 19.17 292003 30.9 24.6 22.6 32 23.9 30.5 10.8 3.1 9.2 48 28.7 22.2 286.5 23.88 482004 46.6 7.8 33.1 52.2 17.8 12.3 7.8 5.6 15.5 50.3 20.3 24.8 294.1 24.51 52.22005 34.4 47.3 41.9 66.3 25.8 15 4.3 5.8 29.1 23.8 32.6 33.3 359.6 29.97 66.32006 25.8 24.6 44.2 42 15.7 34.1 5.3 3.2 3.5 28 45.6 21.9 293.9 24.49 45.62007 17.2 10.7 34.8 28.7 20.7 22.7 13.3 10.8 4.6 37.9 51.6 20.8 273.8 22.82 51.62008 20.8 66.2 25.1 31.4 11.4 12.2 11.9 6.9 15 36.9 69.5 11.5 318.8 26.57 69.52009 49.5 20.2 48.2 42 27.4 17.3 15.2 10.2 12.4 22.3 20.2 25.8 310.7 25.89 49.52010 12.4 77.9 56.7 19.4 17.6 15.5 4.5 7.8 13.5 14.9 18 30.2 288.4 24.03 77.92011 42.5 39.4 44.1 38.2 21.5 8.6 14.9 3.5 44.4 23.7 30.7 44.5 356 29.67 44.52012 42.1 46.6 38.8 83.7 48 12.3 13.6 6.4 3.7 46.4 46.9 24.3 412.8 34.40 83.72012 17.9 33.4 33.4 10.5 27.5 33.2 36.9 18.9 15.8 29.5 3.5 19.5 280 23.33 36.92014 29.1 19.6 52.3 20.9 27.4 23.3 12.7 12.4 5.3 27 22.3 19.6 271.9 22.66 52.3

Promedio 32.05 30.795 36.525 36.155 23.25 17.43 12.15 7.395 16.095 29.98 31.97 25.695 299.49Máximo 70.5 77.9 92.5 83.7 48 34.1 36.9 18.9 44.4 51.6 69.5 44.5 672.5Mínimo 11.6 7.8 12.3 10.5 11.4 4.7 4.3 1.7 3.5 8.5 3.5 9.6 89.4

ESTACION : CHONTALI / 000250 /DRE - 02 LAT.: 5°38' 37'' "S" DPTO: CAJAMARCA

PARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 79°5'5'' "W" PROV: JAEN

ALT: 1627 msnm DIST. CHONTALI

ESTACION : LA CASCARILLA "CO" LAT.: 5°40'18.3'' "S" DPTO:PARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°53'51.6'' "W" PROV:

ALT: 2005 msnm DIST.

AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL PRO. ANUAL

P.MAX

1995 26.8 21.4 32.2 13.9 77.4 23.6 25.62 4.6 6.3 50 38.5 43.3 363.62 30.30 77.41996 31.2 37 33.4 57.2 26.9 30.7 3.8 24.2 29.4 41.2 15.4 17.1 347.5 28.96 57.21997 18.5 32.4 29.4 47.8 40.6 53.8 29.6 11.1 16.5 61.1 29.5 27.2 397.5 33.13 61.11998 49.9 41.1 32.4 65.3 82.6 29.8 10 8.9 23 43.1 42.2 35.9 464.2 38.68 82.61999 44.3 66.8 44.4 30.8 36.2 46 34.3 12.4 41 66.4 53 54.4 530 44.17 66.82000 42 59.8 65.8 41.8 45 40.7 17.3 15.4 83.2 13.2 20.7 19 463.9 38.66 83.22001 39.2 26.8 25.2 44.9 32.3 8.2 13 11 67.6 30.8 110.5 36 445.5 37.13 110.52002 24.3 43.2 23.2 36.6 67 13.8 33.7 30.9 23.8 52.6 25.8 23.9 398.8 33.23 672003 24.8 31.2 51.5 36.6 29.5 30.4 19 15.7 14.1 55.2 41.8 33 382.8 31.90 55.22004 72.7 25.3 27.7 29.1 49.7 24.5 12.4 12.2 28.6 30.3 45.3 45.6 403.4 33.62 72.72005 19.5 32.5 47.6 51.6 25.8 16.6 10.7 18.3 30.8 54 73.9 35.4 416.7 34.73 73.92006 45 47.2 39 33.3 24.5 98.6 3.3 8.3 9.7 41.1 67.6 50.4 468 39.00 98.62007 17.7 21.9 31.9 48.5 49.3 15.8 28.1 26 26.5 80.5 53.7 45.9 445.8 37.15 80.52008 36.9 67.9 41.8 20.2 42.6 34 28.4 17.3 8.2 52.5 38.3 5.2 393.3 32.78 67.92009 56.1 26.7 73.6 43.6 46.8 19.4 23.8 33 23.3 87.9 27.2 42.9 504.3 42.03 87.92010 23.8 50.2 17.7 66.7 17.7 14 3.8 11.4 14.2 38.3 15.6 36 309.4 25.78 66.72011 78.6 34.6 31.7 83 27.7 16.8 15.6 10.4 41.5 32 56 53.6 481.5 40.13 832012 70.3 49 67.3 61 17.7 25.1 27.4 12.6 8.2 27.7 40.5 47.7 454.5 37.88 70.32012 18.3 44.5 31.1 14.6 52.2 30 23.3 29 18.1 80.5 11 38.6 391.2 32.60 80.52014 25 40.1 58.7 23.1 90.2 24.6 8.8 12.3 14.1 29.3 33.3 28.1 387.6 32.30 90.2

Promedio 38.25 39.98 40.28 42.48 44.085 29.82 18.60 16.25 26.41 48.39 41.99 35.96 422.48Máximo 78.6 67.9 73.6 83 90.2 98.6 34.3 33 83.2 87.9 110.5 54.4 895.2Mínimo 17.7 21.4 17.7 13.9 17.7 8.2 3.3 4.6 6.3 13.2 11 5.2 140.2

ESTACION : JAEN / CP - 252/DRE - 02 LAT.: 5°40'39" "S" DPTO: CAJAMARCAPARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°46'46" "W" PROV: JAEN

ALT: 654 msnm DIST. JAEN

AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC TOTAL

1995 4.94 25.51 23.81 22.74 10.18 4.6 10.26 56.98 7.81 9.52 41.22 36 253.571996 7.9 25.7 18 11.2 16.5 14.7 0.5 6.7 13.7 19.8 18.4 38 191.11997 11 16.7 14.4 30 9.66 4.24 7.41 11.97 13.34 23.74 31.61 33.94 208.011998 26.59 76.25 41.16 37.27 31.44 18.5 3.1 21.82 23.25 29.68 35.65 15.39 360.11999 24.97 73.6 17.34 16.95 20.36 17.86 5.91 6.16 27.57 24.92 23.13 44.23 3032000 7.1 70.45 49.15 39.8 67.99 18.06 8.18 75.14 40.81 3.61 10.89 18.02 409.22001 33.88 32.71 26.26 22.64 14.83 3.29 7.08 77.94 61.48 10.96 75.31 17.95 384.332002 7.26 31.63 38.37 18.24 27.04 4.05 12.7 1.26 8.14 25.28 34.01 29.71 237.692003 6.93 54.34 15.18 15.46 17.14 28.03 8.93 2.3 11.12 15.67 37.01 17.92 230.032004 7.5 6.8 17.7 30.6 38.1 18 2.4 7.2 17 19.4 18.2 12 194.92005 6.5 42 36.2 31 10.2 18.3 1.9 14.5 18.7 27.9 78.5 31.5 317.22006 18.5 38.7 23 9.4 13.5 26.5 1.3 8.5 5.6 11.7 15.5 16 188.22007 7.6 27 32.5 29 29.3 13 27.2 7.5 7.2 45.9 38.9 22.6 287.72008 17 37.2 63.7 10.2 15.8 26.9 17.4 3.4 9.93 24.57 77.48 9.96 313.54

2009 21.47 54.12 29.48 13.67 22.19 8.3 8.3 14.64 14.52 20.23 59.48 23.59 289.992010 16.6 32.8 5.5 41.5 12.5 13.3 4 22.9 10.7 24 12.1 30 225.92011 25.5 39.5 48.9 39.8 70.6 4.5 21.8 5.8 2.5 30.8 23.5 38.7 351.92012 23.8 32.6 22.5 27.5 7.8 17 6.4 6.8 5.2 26 23.2 12.2 2112012 9.4 47 10.3 18.8 12.9 9 6.4 7.4 14 56.9 0.7 18.6 211.42014 1.4 20 50 59.2 45.3 8.2 10 8.5 6.5 9.4 30.8 22.7 272

Promedio 14.29 39.23 29.17 26.25 24.67 13.82 8.56 18.37 15.95 23.00 34.28 24.45 272.04Máximo 33.88 76.25 63.7 59.2 70.6 28.03 27.2 77.94 61.48 56.9 78.5 44.23 677.91Mínimo 1.4 6.8 5.5 9.4 7.8 3.29 0.5 1.26 2.5 3.61 0.7 9.96 52.72

PARA PRECIPITACIONES MAXIMAS ANUALES EN 24 HORAS

ESTACION p. promedio

AÑO CHONTALI CASCARILLA JAEN PP. MAX 24 HORAS

1995 46.8 77.4 56.98 60.391996 40.8 57.2 38 45.33

1997 50.4 61.1 33.94 48.481998 51.3 82.6 76.25 70.05

1999 51.6 66.8 73.6 64.002000 92.5 83.2 75.14 83.61

2001 70.5 110.5 77.94 86.312002 29 67 38.37 44.79

2003 48 55.2 54.34 52.512004 52.2 72.7 38.1 54.33

2005 66.3 73.9 78.5 72.902006 45.6 98.6 38.7 60.97

2007 51.6 80.5 45.9 59.332008 69.5 67.9 77.48 71.63

2009 49.5 87.9 59.48 65.632010 77.9 66.7 41.5 62.03

2011 44.5 83 70.6 66.032012 83.7 70.3 32.6 62.20

2012 36.9 80.5 56.9 58.102014 52.3 90.2 59.2 67.23

A) ANALISIS DE DISTRIBUCION

I. ANALISIS CON DISTRIBUCION NORMAL

ANALISIS CON DISTRIBUCION NORMALAÑO PRECIPITACION P ORDENADOS F(x) f(x)1995 69.39 86.31 0.982 0.0041996 45.33 83.61 0.969 0.0061997 48.48 72.90 0.815 0.0241998 70.05 71.63 0.783 0.0261999 64.00 70.05 0.739 0.0292000 83.61 69.39 0.720 0.0302001 86.31 67.23 0.651 0.0332002 44.79 66.03 0.610 0.0352003 52.51 65.63 0.596 0.0352004 54.33 64.00 0.539 0.0362005 72.90 62.20 0.474 0.0362006 60.97 62.03 0.468 0.0362007 59.33 60.97 0.430 0.0352008 71.63 59.33 0.373 0.0342009 65.63 58.10 0.332 0.0332010 62.03 54.33 0.220 0.0272011 66.03 52.51 0.175 0.0232012 62.20 48.48 0.097 0.0152013 58.10 45.33 0.057 0.0102014 67.23 44.79 0.051 0.009

MEDIA 63.24DESV.EST. 11.12

N 20

Media 63.24 63.24 0.5042 0.025857Des.Est 11.12 11.12 0.288192 0.010841Coef.As 0.23 0.23 -0.065282 -0.952898

Tr Pexc. Pno-exc valor Z y=x+z*desv.est

10 0.100 0.900 1.28 77.49

20 0.050 0.950 1.64 81.53

30 0.033 0.967 1.83 83.63

40 0.025 0.975 1.96 85.03

50 0.020 0.980 2.05 86.07

100 0.010 0.990 2.33 89.10

II. ANALISIS LOG. NORMAL 2 PARAMETROS

ANALISIS CON DISTRIBUCION LOG - NORMAL DE 2 PARAMETROS

AÑO P P ORDENADOS y = ln (x) F(x) f(x)1995 69.39 86.31 4.458 0.966 0.4211996 45.33 83.61 4.426 0.951 0.5741997 48.48 72.90 4.289 0.811 1.5181998 70.05 71.63 4.272 0.783 1.6481999 64.00 70.05 4.249 0.744 1.8042000 83.61 69.39 4.240 0.727 1.8652001 86.31 67.23 4.208 0.665 2.0442002 44.79 66.03 4.190 0.628 2.1232003 52.51 65.63 4.184 0.615 2.1452004 54.33 64.00 4.159 0.560 2.2132005 72.90 62.20 4.130 0.496 2.2382006 60.97 62.03 4.128 0.490 2.2382007 59.33 60.97 4.110 0.452 2.2222008 71.63 59.33 4.083 0.392 2.1552009 65.63 58.10 4.062 0.347 2.0732010 62.03 54.33 3.995 0.221 1.6662011 66.03 52.51 3.961 0.169 1.4122012 62.20 48.48 3.881 0.080 0.8312013 58.10 45.33 3.814 0.037 0.4552014 67.23 44.79 3.802 0.032 0.403

III. ANALISIS LOG NORMAL 3 PARAMETROS

ANALISIS CON DISTRIBUCION LOG - NORMAL DE 3 PARAMETROS

Media 63.24 4.13Desv.stand 11.12 0.18Coef.asimet 0.23 -0.22

Pexc. Tr x=LN I0.100 10 78.300.050 20 83.530.033 30 86.400.025 40 88.360.020 50 89.850.010 100 94.32

AÑO P P ORDENADOS y = ln (x-a) F(x) f(x)1995 69.39 86.31 4.747 0.972 0.5381996 45.33 83.61 4.723 0.956 0.7671997 48.48 72.90 4.623 0.811 2.2371998 70.05 71.63 4.610 0.782 2.4381999 64.00 70.05 4.595 0.741 2.6762000 83.61 69.39 4.588 0.723 2.7692001 86.31 67.23 4.566 0.658 3.0352002 44.79 66.03 4.553 0.619 3.1492003 52.51 65.63 4.549 0.606 3.1812004 54.33 64.00 4.531 0.550 3.2722005 72.90 62.20 4.512 0.485 3.2962006 60.97 62.03 4.510 0.479 3.2932007 59.33 60.97 4.498 0.441 3.2612008 71.63 59.33 4.480 0.382 3.1512009 65.63 58.10 4.466 0.338 3.0232010 62.03 54.33 4.421 0.217 2.4262011 66.03 52.51 4.399 0.167 2.0672012 62.20 48.48 4.349 0.083 1.2622013 58.10 45.33 4.307 0.042 0.7392014 67.23 44.79 4.300 0.037 0.664

AS: Asimetría

Si As < 0 Indica que existe presencia de la minoría de datos en la parte izquierda de la media, aunque en algunos casos no necesariamente indicará que la distribución sea asimétrica negativaSi As = 0 la distribución será simétricaSi As > 0 Indica que existe presencia de la minoría de datos en la parte derecha de la media, aunque en algunos casos no necesariamente indicará que la distribución sea asimétrica positiva

a= (Extremomayor∗extremomenor−(media≺.)2)(Extremomayor+extremomenor−(2∗media≺.))

Precipitación YMedia 63.24 4.52

Desv.stand 11.12 0.12Coef.asimet

. 0.23 -0.08

a -28.8900

Tr Pexc. 1-Pexc. z = f ( Pexc) y = ln (x - a) x10 0.100 0.900 1.28 4.67 77.9520 0.050 0.950 1.64 4.72 82.7530 0.033 0.967 1.83 4.74 85.3340 0.025 0.975 1.96 4.75 87.0950 0.020 0.980 2.05 4.76 88.41100 0.010 0.990 2.33 4.80 92.34

IV. ANALISIS POR METODO GUMBEL

VALORES GUMBELMedia reducida Yn

n 0 1 2 3 4 5 6 7 8 910 0.4952 0.4996 0.5035 0.5070 0.5100 0.5128 0.5157 0.5181 0.5202 0.522020 0.5230 0.5252 0.5268 0.5283 0.5296 0.5309 0.5320 0.5332 0.5343 0.535330 0.5362 0.5371 0.5380 0.5388 0.5396 0.5402 0.5410 0.5418 0.5424 0.543040 0.5436 0.5442 0.5448 0.5453 0.5458 0.5463 0.5468 0.5473 0.5477 0.548150 0.5485 0.5489 0.5493 0.5497 0.5501 0.5504 0.5508 0.5511 0.5515 0.551860 0.5521 0.5524 0.5527 0.5530 0.5533 0.5535 0.5538 0.5540 0.5543 0.554570 0.5548 0.5550 0.5552 0.5555 0.5557 0.5559 0.5561 0.5563 0.5565 0.556780 0.5569 0.5570 0.5572 0.5574 0.5576 0.5578 0.5580 0.5581 0.5583 0.558590 0.5586 0.5587 0.5589 0.5591 0.5592 0.5593 0.5595 0.5596 0.5598 0.5599

100 0.5600

Desviación típica reducida Sn

n 0 1 2 3 4 5 6 7 8 910 0.9496 0.9676 0.9833 0.9971 1.0095 1.0206 1.0316 1.0411 1.0493 1.056520 1.0628 1.0696 1.0754 1.0811 1.0864 1.0915 1.0961 1.1004 1.1047 1.108630 1.1124 1.1159 1.1193 1.2260 1.1255 1.1285 1.1313 1.1339 1.1363 1.388040 1.1413 1.1430 1.1458 1.1480 1.1499 1.1519 1.1538 1.1557 1.1574 1.159050 1.1607 1.1623 1.1638 1.1658 1.1667 1.1681 1.1696 1.1708 1.1721 1.173460 1.1747 1.1759 1.1770 1.1782 1.1793 1.1803 1.1814 1.1824 1.1834 1.184470 1.1854 1.1863 1.1873 1.1881 1.1890 1.1898 1.1906 1.1915 1.1923 1.193080 1.1938 1.1945 1.1953 1.1959 1.1967 1.1973 1.1980 1.1987 1.1994 1.200190 1.2007 1.2013 1.2020 1.2026 1.2032 1.2038 1.2044 1.2049 1.2055 1.2060

100 1.2065

ANALISIS CON DISTRIBUCION GUMBELVar. Reducida

AÑO P P ORDENADOS y = (x - u)/a Tr1995 69.39 86.31 2.73 15.811996 45.33 83.61 2.47 12.33

1997 48.48 72.90 1.45 4.771998 70.05 71.63 1.32 4.281999 64.00 70.05 1.17 3.762000 83.61 69.39 1.11 3.562001 86.31 67.23 0.90 3.002002 44.79 66.03 0.79 2.742003 52.51 65.63 0.75 2.662004 54.33 64.00 0.60 2.362005 72.90 62.20 0.42 2.082006 60.97 62.03 0.41 2.062007 59.33 60.97 0.31 1.922008 71.63 59.33 0.15 1.732009 65.63 58.10 0.03 1.612010 62.03 54.33 (0.33) 1.332011 66.03 52.51 (0.50) 1.242012 62.20 48.48 (0.89) 1.102013 58.10 45.33 (1.19) 1.042014 67.23 44.79 (1.24) 1.03

Tr Pexc.(1/Tr) Pno exc. ln(1-1/Tr) e(-y) y=-(LN(e(-y))) x=u+a*y

10 0.100 0.900 -0.105 0.105 2.250 81.31020 0.050 0.950 -0.051 0.051 2.970 88.840

TreXxF

ye 11)(

PRECIPITACION YMEDIA 63.24 0.5230DES. ESTA 11.12 1.0628N 20Yn= 0.523Sn= 1.0628a= 10.46u= 57.7

30 0.033 0.967 -0.034 0.034 3.384 93.17140 0.025 0.975 -0.025 0.025 3.676 96.22550 0.020 0.980 -0.020 0.020 3.902 98.585100 0.010 0.990 -0.010 0.010 4.600 105.889

Probabilidad de excedencia F(x) Diferencia Delta DDATO

S EmpíricaNorma

l LN2 LN3 GumbelNorma

l LN2 LN3 Gumbel

1 0.0476 0.0190 0.0338 0.0284 0.0632 0.0286 0.0139 0.0192 0.01562 0.0952 0.0335 0.0495 0.0438 0.0811 0.0618 0.0458 0.0514 0.01413 0.1429 0.1925 0.1892 0.1891 0.2098 0.0496 0.0463 0.0462 0.06694 0.1905 0.2253 0.2170 0.2184 0.2334 0.0348 0.0265 0.0279 0.04305 0.2381 0.2701 0.2555 0.2590 0.2660 0.0321 0.0174 0.0209 0.02796 0.2857 0.2901 0.2729 0.2772 0.2806 0.0044 0.0128 0.0085 0.00517 0.3333 0.3599 0.3348 0.3418 0.3329 0.0266 0.0015 0.0085 0.00048 0.3810 0.4010 0.3724 0.3807 0.3650 0.0201 0.0086 0.0003 0.01609 0.4286 0.4150 0.3853 0.3941 0.3761 0.0136 0.0432 0.0345 0.052510 0.4762 0.4728 0.4402 0.4503 0.4238 0.0034 0.0360 0.0259 0.052411 0.5238 0.5374 0.5039 0.5147 0.4805 0.0135 0.0199 0.0091 0.043312 0.5714 0.5434 0.5100 0.5208 0.4860 0.0280 0.0614 0.0506 0.085413 0.6190 0.5810 0.5485 0.5593 0.5213 0.0381 0.0706 0.0597 0.097814 0.6667 0.6376 0.6082 0.6185 0.5775 0.0291 0.0584 0.0482 0.089115 0.7143 0.6782 0.6526 0.6619 0.6206 0.0361 0.0617 0.0524 0.093716 0.7619 0.7886 0.7790 0.7834 0.7508 0.0267 0.0171 0.0215 0.011117 0.8095 0.8328 0.8314 0.8331 0.8087 0.0233 0.0219 0.0236 0.000818 0.8571 0.9079 0.9204 0.9172 0.9121 0.0508 0.0633 0.0600 0.054919 0.9048 0.9464 0.9629 0.9582 0.9626 0.0417 0.0581 0.0534 0.057820 0.9524 0.9515 0.9680 0.9633 0.9686 0.0008 0.0156 0.0109 0.0162

B) PRUEBAS DE BONDAD DE AJUSTE SMIRNOV-KOLMOGOROV

Max. Normal Max. LN2 Max.LN3 Max. Gumbel0.06177 0.07060 0.06003 0.09780

VERDADERO VERDADERO VERDADERO VERDADERO0.3041

Los datos de ajustan a la función Log Normal 3, siendo este dato 0,06003 menor a 0,3041

C) INTENSIDAD DE PRECIPITACIONES

T R PRECIP. MÁX LN3

10 77.9520 82.7530 85.3340 87.0950 88.41

100 92.34

Con los datos ajustados hacemos:

Tr N°P. Max 24 h. mm

I24Intensidad de lluvias en (mm/hr)

Duración de lluvias (min)10 30 60 120 180 240 480

10 1 77.95 3.25 38.98 22.50 15.91 11.25 9.19 7.96 5.6320 2 82.75 3.45 41.38 23.89 16.89 11.94 9.75 8.45 5.9730 3 85.33 3.56 42.67 24.63 17.42 12.32 10.06 8.71 6.1640 4 87.09 3.63 43.55 25.14 17.78 12.57 10.26 8.89 6.2950 5 88.41 3.68 44.21 25.52 18.05 12.76 10.42 9.02 6.38

100 6 92.34 3.85 46.17 26.66 18.85 13.33 10.88 9.42 6.66

El tiempo de concentración = 1.63 horas

Graficamos nuestra curva IDF

D. CALCULO DEL CAUDAL

Para esto se tendrá en cuenta la fórmula:

Q= CIA/360

C: coeficiente de escorrentía

I: Intensidad para un determinado tiempo de retorno de acuerdo a un tiempo de concentración.

A: Área de la cuenca en Has

-Precipitación máxima corregida sobre la cuenca (P):

Donde: KA = Factor reductor

A=Área de la cuenca en km2 = 156.12 km2

KA = 0.85376943

Pd = Precipitación máxima diaria (mm)

ESTACIÓN ARIAL CUENCA AMOJÚ

T R PRECIP. MÁX LN3 P

10 77.949 66.5520 82.750 70.6530 85.332 72.8540 87.087 74.3550 88.410 75.48100 92.343 78.84

-Intensidad:

T R Precipitación Intensidad

10 66.55 14.68920 70.65 15.59330 72.85 16.08040 74.35 16.41150 75.48 16.660100 78.87 17.401

Como la pendiente es 10 %

C= 0.6

Se tendrá en cuenta el Tc= 1.63 horas = 97.8 min lo cual representa un flujo lento.

Caudales Máximos:

Tr Intensidad mm/h Área C Q (m3/Seg)10 14.69 15612 0.6 382.2020 15.59 15612 0.6 405.7430 16.08 15612 0.6 418.4040 16.41 15612 0.6 427.0150 16.66 15612 0.6 433.49100 17.40 15612 0.6 452.78

PRECIPITACIONES 24 HORAS

PRECIPITACIONES MINIMAS EN 24 HORAS

AÑO MIN1998 1.011999 0.932000 0.342001 0.82002 1.492003 1.52004 0.992005 1.012006 0.832007 2.43

ANALISIS DE DISTRIBUCION DE PRECIPITACIONES MINIMAS

I. ANALISIS CON DISTRIBUCION NORMAL

ANALISIS CON DISTRIBUCION NORMALAÑO PRECIPITACION P ORDENADOS F(x) f(x)

1998 1.01 2.43 0.989 0.050

1999 0.93 1.50 0.742 0.572

2000 0.34 1.49 0.736 0.579

2001 0.8 1.01 0.414 0.690

2002 1.49 1.01 0.414 0.690

2003 1.5 0.99 0.400 0.684

2004 0.99 0.93 0.360 0.662

2005 1.01 0.83 0.296 0.612

2006 0.83 0.80 0.278 0.594

2007 2.43 0.34 0.080 0.263

MEDIA 1.13DESV.EST. 0.56N 10

Media 1.13 1.13 0.4708 0.539763Des.Est 0.56 0.56 0.270295 0.212832Coef.As 1.31 1.31 0.728996 -1.814385

Tr Pexc. Pno-exc valor Z y=x+z*desv.est10 0.100 0.900 1.28 1.8620 0.050 0.950 1.64 2.0630 0.033 0.967 1.83 2.1740 0.025 0.975 1.96 2.2450 0.020 0.980 2.05 2.29

100 0.010 0.990 2.33 2.45

II. ANALISIS LOG. NORMAL 2 PARAMETROS

ANALISIS CON DISTRIBUCION LOG - NORMAL DE 2 PARAMETROSAÑO P P ORDENADOS y = ln (x) F(x) f(x)1998 1.01 2.43 0.888 0.956 0.182

1999 0.93 1.50 0.405 0.777 0.582

2000 0.34 1.49 0.399 0.774 0.587

2001 0.8 1.01 0.010 0.497 0.778

2002 1.49 1.01 0.010 0.497 0.778

2003 1.5 0.99 -0.010 0.481 0.778

2004 0.99 0.93 -0.073 0.433 0.767

2005 1.01 0.83 -0.186 0.348 0.721

2006 0.83 0.80 -0.223 0.322 0.699

2007 2.43 0.34 -1.079 0.016 0.080

media 1.13 0.01desv.stand 0.56 0.51

coef.asim 1.31 -0.56

Pexc. Tr x=LN I0.100 10 1.960.050 20 2.360.033 30 2.600.025 40 2.770.020 50 2.910.010 100 3.34

MEDIA 1.13 MEDIA 0.014DESV.EST. 0.56 DESV.EST. 0.512

N 10 C.ASIMETRIA -0.561

III. ANALISIS LOG NORMAL 3 PARÁMETROS

ANALISIS CON DISTRIBUCION LOG - NORMAL DE 3 PARAMETROSAÑO P P ORDENADOS y = ln (x-a) F(x) f(x)1998 1.01 2.43 3.444 0.989 1.5951999 0.93 1.50 3.414 0.746 17.2192000 0.34 1.49 3.414 0.740 17.4182001 0.80 1.01 3.398 0.416 20.9432002 1.49 1.01 3.398 0.416 20.9432003 1.50 0.99 3.397 0.402 20.7712004 0.99 0.93 3.395 0.361 20.1052005 1.01 0.83 3.392 0.296 18.5512006 0.83 0.80 3.391 0.277 17.9932007 2.43 0.34 3.375 0.077 7.719

Precipitación Ymedia 1.13 3.40

desv.stand 0.56 0.02coef.asimet. 1.31 1.26

a -28.8900

AS: Asimetría

Si As < 0 Indica que existe presencia de la minoría de datos en la parte izquierda de la media, aunque en algunos casos no necesariamente indicará que la distribución sea asimétrica negativaSi As = 0 la distribución será simétricaSi As > 0 Indica que existe presencia de la minoría de datos en la parte derecha de la media, aunque en algunos casos no necesariamente indicará que la distribución sea asimétrica positiva

a= (Extremomayor∗extremomenor−(media≺.)2)(Extremomayor+extremomenor−(2∗media≺.))

Tr Pexc. 1-Pexc. z = f ( Pexc) y = ln (x - a) x10 0.100 0.900 1.28 3.43 1.8520 0.050 0.950 1.64 3.43 2.0630 0.033 0.967 1.83 3.44 2.1740 0.025 0.975 1.96 3.44 2.2450 0.020 0.980 2.05 3.44 2.30

100 0.010 0.990 2.33 3.45 2.46

IV. ANALISIS POR METODO GUMBEL

VALORES GUMBELMedia reducida Yn

n 0 1 2 3 4 5 6 7 8 910 0.4952 0.4996 0.5035 0.5070 0.5100 0.5128 0.5157 0.5181 0.5202 0.522020 0.5230 0.5252 0.5268 0.5283 0.5296 0.5309 0.5320 0.5332 0.5343 0.535330 0.5362 0.5371 0.5380 0.5388 0.5396 0.5402 0.5410 0.5418 0.5424 0.543040 0.5436 0.5442 0.5448 0.5453 0.5458 0.5463 0.5468 0.5473 0.5477 0.548150 0.5485 0.5489 0.5493 0.5497 0.5501 0.5504 0.5508 0.5511 0.5515 0.551860 0.5521 0.5524 0.5527 0.5530 0.5533 0.5535 0.5538 0.5540 0.5543 0.554570 0.5548 0.5550 0.5552 0.5555 0.5557 0.5559 0.5561 0.5563 0.5565 0.556780 0.5569 0.5570 0.5572 0.5574 0.5576 0.5578 0.5580 0.5581 0.5583 0.558590 0.5586 0.5587 0.5589 0.5591 0.5592 0.5593 0.5595 0.5596 0.5598 0.5599

100 0.5600

Desviación típica reducida Sn

n 0 1 2 3 4 5 6 7 8 910 0.9496 0.9676 0.9833 0.9971 1.0095 1.0206 1.0316 1.0411 1.0493 1.056520 1.0628 1.0696 1.0754 1.0811 1.0864 1.0915 1.0961 1.1004 1.1047 1.108630 1.1124 1.1159 1.1193 1.2260 1.1255 1.1285 1.1313 1.1339 1.1363 1.388040 1.1413 1.1430 1.1458 1.1480 1.1499 1.1519 1.1538 1.1557 1.1574 1.159050 1.1607 1.1623 1.1638 1.1658 1.1667 1.1681 1.1696 1.1708 1.1721 1.173460 1.1747 1.1759 1.1770 1.1782 1.1793 1.1803 1.1814 1.1824 1.1834 1.184470 1.1854 1.1863 1.1873 1.1881 1.1890 1.1898 1.1906 1.1915 1.1923 1.193080 1.1938 1.1945 1.1953 1.1959 1.1967 1.1973 1.1980 1.1987 1.1994 1.200190 1.2007 1.2013 1.2020 1.2026 1.2032 1.2038 1.2044 1.2049 1.2055 1.2060

100 1.2065

ANALISIS CON DISTRIBUCION GUMBELAÑO P P ORDENADOS y = (x - u)/a Tr1998 1.01 2.43 2.96 19.901999 0.93 1.50 1.21 3.892000 0.34 1.49 1.20 3.832001 0.80 1.01 0.29 1.902002 1.49 1.01 0.29 1.902003 1.50 0.99 0.25 1.852004 0.99 0.93 0.14 1.722005 1.01 0.83 (0.05) 1.542006 0.83 0.80 (0.10) 1.492007 2.43 0.34 (0.97) 1.08

MEDIA 1.13 0.5230DES. ESTA 0.56 1.0628N 10Yn= 0.523Sn= 1.0628a= 0.53

u= 0.86 TreXxF

ye 11)(

PRUEBAS DE BONDAD DE AJUSTE SMIRNOV-KOLMOGOROV

Probabilidad de excedencia F(x) Diferencia Delta DDATOS Empírica Normal LN2 LN3 Gumbel Normal LN2 LN3 Gumbel

1 0.0909 0.0108 0.0441 0.0113 0.0503 0.0801 0.0468 0.0796 0.04072 0.1818 0.2578 0.2225 0.2544 0.2570 0.0760 0.0407 0.0726 0.07513 0.2727 0.2636 0.2264 0.2601 0.2611 0.0092 0.0463 0.0126 0.01164 0.3636 0.5862 0.5032 0.5839 0.5263 0.2226 0.1396 0.2203 0.16275 0.4545 0.5862 0.5032 0.5839 0.5263 0.1317 0.0487 0.1294 0.07186 0.5455 0.6000 0.5188 0.5979 0.5397 0.0545 0.0267 0.0524 0.00587 0.6364 0.6404 0.5672 0.6390 0.5805 0.0041 0.0692 0.0026 0.05598 0.7273 0.7043 0.6521 0.7041 0.6496 0.0230 0.0751 0.0232 0.07779 0.8182 0.7224 0.6783 0.7225 0.6703 0.0958 0.1399 0.0956 0.1479

10 0.9091 0.9200 0.9835 0.9235 0.9285 0.0109 0.0744 0.0144 0.01940.22261 0.13988 0.22030 0.16267

VERDADERO VERDADERO VERDADERO VERDADERO

0.4301

Los datos de ajustan a la función Log Normal 3, siendo este dato 0,13988 menor a 0,4301

INTENSIDAD DE PRECIPITACIONES

Con los datos ajustados hacemos:

Donde el tiempo de concentración es de 1,63 horas.

CURVA IDF

Precipitación mínima corregida sobre la cuenca (P):

Donde: KA = Factor reductor

A=Área de la cuenca en km2 = 156.12 km2

KA = 0.85376943

Pd = Precipitación máxima diaria (mm)

ESTACIÓN ARIAL CUENCA AMOJÚ

T R PRECIP. MÁX LN3 P

10 1.956 1.6720 2.356 2.0130 2.596 2.2240 2.769 2.3650 2.906 2.48100 3.341 2.85

D. CALCULO DEL CAUDAL

Para esto se tendrá en cuenta la fórmula:

Q= CIA/360

C: coeficiente de escorrentía

I: Intensidad para un determinado tiempo de retorno de acuerdo a un tiempo de concentración.

A: Área de la cuenca en Has

-Intensidad:

Donde:P = Precipitación máxima corregida (mm)

Tc= Tiempo de concentración (horas)

T R P I

10 1.67 0.36920 2.01 0.44430 2.22 0.49040 2.36 0.52150 2.48 0.547100 2.85 0.629

Como la pendiente es 10 %

C= 0.6

Se tendrá en cuenta el Tc= 1.63 horas = 97.8 min lo cual representa un flujo lento.

Caudales Máximos:

Tr Intensidad mm/h Area C Q (m3/Seg)10 0.369 15612 0.6 9.60

20 0.444 15612 0.6 11.55

30 0.49 15612 0.6 12.75

40 0.521 15612 0.6 13.56

50 0.547 15612 0.6 14.23100 0.629 15612 0.6 16.37