METODO DE LOS
AÑOS
1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198! 198" 1985 1986 1987 1988 1989 1990 1991 199 199! 199" 1995 1996 1997 1998 1999 000 001
CUADRO N° 01 - ESTACIONES LAMBAYEQUE
FERREÑAFE
CHICLAYO
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80
16.00 3.00 6.00 2.00 9.00 3.20 21.70 65.00 16.60 2.00 9.00 6.00 10.00 2.00 3.00 4.00 32.00 5.00 NP 6.00 NP NP NP NP NP NP NP NP NP 3.00 13.00 2.00 9.90 180.80 12.40 1.60 36.60
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 43.50 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
00 00! 00" 005 006 007 008 009 010 011 MA#IMA
16.20 14.70 3.40 15.80 12.70 3.60 11.70 5.70 17.10 7.10 6!$ 6 0
48.90 5.30 3.60 2.20 8.40 6.50 21.00 18.50 12.58 19.70 180 $80
NP NP NP NP NP NP NP NP NP NP "!$ 50
F%&'(&) SENAMHI - C*+,./ Considerando Considerando como las estaciones estaciones índices a : Lambae! Lambae!"e# "e# $"ambos C%"&"r C%"&"r 'or se las estaciones cercanas "nas de otras 'or s" consistencia de los datos !"e %an re&is
PROMEDI ESTACION PLUVIOMETRICA EP2 FERREÑAFE Y LA 1.( C)lc" C)lc"lo lo de de las las 'reci 'reci'i 'itac tacio iones nes *altan *altantes tes de la la +P ,+--+ ,+--+/ /,+ ,+ con con la la +P L// L//+ +
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003 2004
ESTACIONES
2.( Con la *rm"la
LAMBAYEQUE
FERREÑAFE
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70 3.40
16.00 3.00 6.00 2.00 9.00 3.20 21.70 65.00 16.60 2.00 9.00 6.00 10.00 2.00 3.00 4.00 32.00 5.00 NP 6.00 NP NP NP NP NP NP NP NP NP 3.00 13.00 2.00 9.90 180.80 12.40 1.60 36.60 48.90 5.30 3.60
Xn Xn FER FERR R # encontramos los
3.( ,inalmente las
2005 2006 2007 2008 2009 2010 2011
15.80 12.70 3.60 11.70 5.70 17.10 7.10
2.20 8.40 6.50 21.00 18.50 12.58 19.70
X
11$90
16$ 9 6
___ ___
X
X : es la media aritmtica. : es la 'reci'itacin de cada estacin.
47
PROMEDI ESTACION PLUVIOMETRICA EP2 CHICLAYO Y LA E 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P C$CL/ con la +P L//+
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003
ESTACIONES
2.( Con la *rm"la
LAMBAYEQUE
CHICLAYO
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 43.50 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
Xn CHICL # encontramos los
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3 3.( ,inalmente las
AÑOS 1965 1966 1967
2004 2005 2006 2007 2008 2009 2010 2011
3.40 15.80 12.70 3.60 11.70 5.70 17.10 7.10
NP NP NP NP NP NP NP NP
X
11$90
"!$50
___ ___
X : es la media aritmtica.
X
: es la 'reci'itacin de cada estacin.
47
1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198" 1985
PROMEDI ESTACION PLUVIOMETRICA EP2 PUCALA Y LA E 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P PC/L/ con la +P L//++
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003
ESTACIONES
2.( Con la *rm"la
LAMBAYEQUE
PUCALA
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70
NP NP NP NP NP 2.70 19.80 12.30 14.50 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
Xn
# encontramos los
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3 3.( ,inalmente las
AÑOS 1965 1966 1967
2004 2005 2006 2007 2008 2009 2010 2011
3.40 15.80 12.70 3.60 11.70 5.70 17.10 7.10
NP NP NP NP NP NP NP NP
X
11$90
1$!!
___ ___
X : es la media aritmtica.
X
: es la 'reci'itacin de cada estacin.
47
1968 1969 197" 1975 1976 1977 1978 1979 1980 1981 198 198! 198" 1985 1986 1987 1988
PROMEDI ESTACION PLUVIOMETRICA EP2 PIMENTEL Y LA E 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P P+N=+L con la +P L//+
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003
ESTACIONES
2.( Con la *rm"la
LAMBAYEQUE
PIMENTEL
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 56.20 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
Xn P
# encontramos los
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3 3.( ,inalmente las
AÑOS 1965 1966 1967
2004 2005 2006 2007 2008 2009 2010 2011
3.40 15.80 12.70 3.60 11.70 5.70 17.10 7.10
NP NP NP NP NP NP NP NP
X
11$90
56$0
___ ___
X : es la media aritmtica.
X
: es la 'reci'itacin de cada estacin.
47
1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198" 1985
PROMEDI ESTACION PLUVIOMETRICA EP2 REQUE Y LA ES 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P -++ con la +P L//++ :
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003
ESTACIONES
2.( Con la *rm"la
LAMBAYEQUE
REQUE
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 17.50 60.40 10.20 9.20 6.00 7.30 3.00
Xn
# encontramos los
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3 3.( ,inalmente las
AÑOS 1965 1966 1967
2004 2005 2006 2007 2008 2009 2010 2011
3.40 15.80 12.70 3.60 11.70 5.70 17.10 7.10
7.00 2.50 4.30 7.50 11.00 NP NP NP
X
11$90
1$16
___ ___
X : es la media aritmtica.
X
: es la 'reci'itacin de cada estacin.
47
1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198! 198"
PROMEDI ESTACION PLUVIOMETRICA EP2 TINA4ONES Y LA 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P =N/>N+? con la +P L//+
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003
ESTACIONES
2.( Con la *rm"la
LAMBAYEQUE
TINA4ONES
8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70
44.20 19.80 2.60 47.30 9.10 93.20 22.50 34.50 5.00 2.10 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 1.40 9.40 17.40 116.30 26.35 11.32 21.41 12.39 24.00
XnTI
# encontramos los
3.( ,inalmente las
2004 2005 2006 2007 2008 2009 2010 2011
3.40 15.80 12.70 3.60 11.70 5.70 17.10 7.10
13.56 21.12 14.85 25.47 34.89 17.25 22.21 18.50
X
11$90
5$"9
___ ___
X : es la media aritmtica.
X
: es la 'reci'itacin de cada estacin.
47
PROMEDIOS
LUVIOMETRICAS DE LA CUENCA DEL RIO CHANCAY PUCALA
TINA4ONES
REQUE
PIMENTEL
NP NP NP NP NP 2.70 19.80 12.30 14.50 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
44.20 19.80 2.60 47.30 9.10 93.20 22.50 34.50 5.00 2.10 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 1.40 9.40 17.40 116.30 26.35 11.32 21.41
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 17.50 60.40 10.20 9.20 6.00
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 56.20 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
NP NP NP NP NP NP NP NP NP NP 19$80
12.39 24.00 13.56 21.12 14.85 25.47 34.89 17.25 22.21 18.50 116$!0
7.30 3.00 7.00 2.50 4.30 7.50 11.00 NP NP NP 60$"0
NOTA ) NP) No 'resenta dato en ese a@o. r todas rado.
NP NP NP NP NP NP NP NP NP NP 56$0
N° 01 STACION PLUVIOMETRICA EP2 LAMBAYEQUE + : :
___
ÑAFE
=
X LAMBAYEQUE * X FERREÑAFE ___
X LAMBAYEQUE
datos *altantes 1# 2# 3# # n :
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3
#' 90.61 14.46 26.71 5.41 4.42 4.84 4.56 9.83 20.23 9.69
UNIDAD mm mm mm mm mm mm mm mm mm mm
'reci'itaciones *altantes :
AÑOS 198! 1985 1986 1987 1988 1989 1990 1991 199 199!
DATOS FALTANTES 90.61 14.46 26.71 5.41 4.42 4.84 4.56 9.83 20.23 9.69
UNIDAD mm mm mm mm mm mm mm mm mm mm
N° 0 STACION PLUVIOMETRICA EP2 LAMBAYEQUE +: :
___
YO
=
X LAMBAYEQUE * X CHICLAYO ___
X LAMBAYEQUE
datos *altantes 1# 2# 3# # n :
#' &' 2 30.69 16.08 22.29 24.85 16.08 5.85 43.48 115.47 152.74 27.77 17.17 12.79 10.96 6.94 6.58 5.12 14.25 4.38 15.35 37.09 68.52 13.89 11.33 12.42
VARIABLE #5 3 #6 3 #7 3 #8 3 #9 3 #!0 3 #!1 3 #! 3 #!! 3 #!" 3 #!5 3 #!6 3 #!7 3 #!8 3 #!9 3 #"0 3 #"1 3 #" 3 #"! 3 #"" 3 #"5 3 #"6 3
#' 11.69 25.21 51.89 24.85 58.83 23.75 10.96 147.99 116.57 73.45 31.06 149.09 59.20 53.72 12.42 57.74 46.41 13.15 42.75 20.83 62.49 25.94
'reci'itaciones *altantes ;en mm< :
DATO FALT$ 30.69 16.08 22.29
AÑOS 1986 1987 1988
DATO FALT$ 68.52 13.89 11.33
AÑOS 006 007 008
DATO FALT$ 46.41 13.15 42.75
24.85 16.08 5.85 43.48 115.47 152.74 27.77 17.17 12.79 10.96 6.94 6.58 5.12 14.25 4.38 15.35 37.09
1989 1990 1991 199 199! 199" 1995 1996 1997 1998 1999 000 001 00 00! 00" 005
12.42 11.69 25.21 51.89 24.85 58.83 23.75 10.96 147.99 116.57 73.45 31.06 149.09 59.20 53.72 12.42 57.74
009 010 011
20.83 62.49 25.94
N° 0! TACION PLUVIOMETRICA EP2 LAMBAYEQUE : :
___
UCALA
=
X LAMBAYEQUE
* X PUCALA
___
X LAMBAYEQUE datos *altantes 1# 2# 3# # n :
#' &' 2 8.70 4.56 6.32 7.04 4.56 7.87 4.87 3.62 3.11 1.97 1.86 1.45 4.04 1.24 65.85 4.35 10.51 19.41 3.93 3.21 3.52 3.31 7.14 14.70
VARIABLE #5 3 #6 3 #7 3 #8 3 #9 3 #!0 3 #!1 3 #! 3 #!! 3 #!" 3 #!5 3 #!6 3 #!7 3 #!8 3 #!9 3 #"0 3 #"1 3 #" 3 #"! 3
#' 7.04 16.67 6.73 3.11 41.93 33.03 20.81 8.80 42.24 16.77 15.22 3.52 16.36 13.15 3.73 12.11 5.90 17.70 7.35
'reci'itaciones *altantes ;en mm< :
DATO FALT$ 8.70 4.56 6.32
AÑOS 1989 1990 1991
DATO FALT$ 3.52 3.31 7.14
AÑOS 009 010 011
DATO FALT$ 5.90 17.70 7.35
7.04 4.56 7.87 4.87 3.62 3.11 1.97 1.86 1.45 4.04 1.24 65.85 4.35 10.51 19.41 3.93 3.21
199 199! 199" 1995 1996 1997 1998 1999 000 001 00 00! 00" 005 006 007 008
14.70 7.04 16.67 6.73 3.11 41.93 33.03 20.81 8.80 42.24 16.77 15.22 3.52 16.36 13.15 3.73 12.11
N° 0" STACION PLUVIOMETRICA EP2 LAMBAYEQUE +: :
___
MENTEL
=
X LAMBAYEQUE
* X PIMENTEL
___
X LAMBAYEQUE datos *altantes 1# 2# 3# # n :
#' &' 2 39.66 20.77 28.80 32.10 20.77 7.55 56.18 149.18 197.34 35.88 22.19 16.52 14.16 8.97 8.50 6.61 18.41 5.67 19.83 47.92 88.52 17.94 14.64 16.05
VARIABLE #5 3 #6 3 #7 3 #8 3 #9 3 #!0 3 #!1 3 #! 3 #!! 3 #!" 3 #!5 3 #!6 3 #!7 3 #!8 3 #!9 3 #"0 3 #"1 3 #" 3 #"! 3 #"" 3 #"5 3 #"6 3
#' 15.11 32.57 67.04 32.10 76.01 30.69 14.16 191.20 150.60 94.89 40.13 192.62 76.48 69.40 16.05 74.59 59.96 17.00 55.24 26.91 80.73 33.52
'reci'itaciones *altantes ;en mm< :
DATO FALT$ 39.66 20.77 28.80
AÑOS 1986 1987 1988
DATO FALT$ 88.52 17.94 14.64
AÑOS 006 007 008
DATO FALT$ 59.96 17.00 55.24
32.10 20.77 7.55 56.18 149.18 197.34 35.88 22.19 16.52 14.16 8.97 8.50 6.61 18.41 5.67 19.83 47.92
1989 1990 1991 199 199! 199" 1995 1996 1997 1998 1999 000 001 00 00! 00" 005
16.05 15.11 32.57 67.04 32.10 76.01 30.69 14.16 191.20 150.60 94.89 40.13 192.62 76.48 69.40 16.05 74.59
009 010 011
26.91 80.73 33.52
N° 05 ACION PLUVIOMETRICA EP2 LAMBAYEQUE
:
___
EQUE
=
X LAMBAYEQUE
* X REQUE
___
X LAMBAYEQUE datos *altantes 1# 2# 3# # n :
#' &' 2 8.58 4.49 6.23 6.95 4.49 1.63 12.15 32.27 42.69 7.76 4.80 3.57 3.06 1.94 1.84 1.43 3.98 1.23 64.96 4.29 10.37 19.15 3.88 3.17
VARIABLE #5 3 #6 3 #7 3 #8 3 #9 3 #!0 3 #!1 3 #! 3 #!! 3 #!" 3 #!5 3
#' 3.47 3.27 7.05 14.50 6.95 16.44 6.64 3.06 5.82 17.46 7.25
'reci'itaciones *altantes ;en mm< :
DATO FALT$ 8.58 4.49 6.23
AÑOS 1985 1986 1987
DATO FALT$ 10.37 19.15 3.88
6.95 4.49 1.63 12.15 32.27 42.69 7.76 4.80 3.57 3.06 1.94 1.84 1.43 3.98 1.23 64.96 4.29
1988 1989 1990 1991 199 199! 199" 1995 1996 009 010 011
3.17 3.47 3.27 7.05 14.50 6.95 16.44 6.64 3.06 5.82 17.46 7.25
N° 06 STACION PLUVIOMETRICA EP2 LAMBAYEQUE + : : AJONES
___
=
X LAMBAYEQUE * X TINAJONES ___
X LAMBAYEQUE datos *altantes 1# 2# 3# # n :
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3
#' &' 2 10.06 7.49 6.42 4.07 3.85 3.00 8.35 2.57 136.16 8.99 21.73 40.14 8.14 6.64 7.28 6.85 14.77 30.40 14.56 34.47
'reci'itaciones *altantes ;en mm< :
AÑOS 1975 1976 1977
DATO FALT$ 10.06 7.49 6.42
1978 1979 1980 1981 198 198! 198" 1985 1986 1987 1988 1989 1990 1991 199 199! 199"
4.07 3.85 3.00 8.35 2.57 136.16 8.99 21.73 40.14 8.14 6.64 7.28 6.85 14.77 30.40 14.56 34.47
METODO DE LOS PROMEDIO
AÑOS
1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198! 198" 1985 1986 1987 1988 1989 1990 1991 199 199! 199" 1995 1996 1997 1998 1999 000 001 00 00! 00" 005 006 007 008 009
CUADRO N° 0 - ESTACIONES PLUVIOMETRICAS PUCHACA
TOCMOCHE
LLAMA
HUAMBOS
SANTA CRU
40.00 24.30 31.50 8.80 95.40 14.30 59.00 147.00 58.70 27.50 60.30 62.70 60.00 101.50 40.10 11.10 20.30 23.20 150.00 30.20 6.10 8.20 60.20 9.70 51.50 8.50 4.20 12.90 60.90 96.20 65.30 30.30 30.00 150.50 20.54 30.55 42.57 70.30 6.55 124.40 20.32 40.30 20.80 54.40 56.30
55.00 12.00 94.00 4.50 48.00 25.00 45.00 60.00 35.00 20.00 70.00 35.00 100.40 40.00 55.00 20.00 30.00 60.00 76.00 36.00 25.00 20.00 40.00 28.00 45.00 15.00 5.20 61.00 47.00 12.00 7.00 32.00 85.00 106.00 52.20 116.20 74.40 64.00 83.60 118.00 36.90 44.00 33.00 108.60 53.90
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 19.50 67.80 38.20
47.30 48.00 39.20 49.50 57.60 45.80 77.00 57.00 58.00 88.50 56.70 41.00 53.00 78.60 46.80 53.40 59.60 47.50 46.00 50.80 35.60 28.60 29.00 45.00 33.40 28.80 20.60 15.00 48.50 60.70 77.80 65.10 69.10 45.60 76.80 79.30 55.00 49.60 20.30 68.30 42.70 55.40 28.30 67.30 58.80
45.80 29.80 26.90 NP NP 24.10 45.80 29.90 40.30 18.90 56.30 54.40 NP 70.30 40.60 NP NP NP NP NP NP NP NP 32.30 29.80 NP 48.60 24.80 27.80 69.80 58.60 23.80 60.90 NP NP NP 56.80 29.20 20.50 49.80 26.80 56.10 28.90 37.30 40.20
010 011 MA#IMA
47.50 35.20 150$50
45.80 64.50 118$00
74.20 46.50 7"$0
49.80 45.90 88$50
F%&'(&) SENAMHI - C*+,./ Considerando como las estaciones índices a : Lambae!"e# $"ambos C%"&"r 'or ser todas las estaciones cercanas "nas de otras 'or s" consistencia de los datos !"e %an re&istrado.
NP NP 70$!0
NOTA )
PROMEDIO N° 07 ESTACION PLUVIOMETRICA EP2 LLAMA Y LA ESTACION P 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P LL// con la +P $/? :
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
ESTACIONES
2.( Con la *rm"la :
HUAMBOS
LLAMA
47.30 48.00 39.20 49.50 57.60 45.80 77.00 57.00 58.00 88.50 56.70 41.00 53.00 78.60 46.80 53.40 59.60 47.50 46.00 50.80 35.60 28.60 29.00 45.00 33.40 28.80 20.60 15.00 48.50 60.70 77.80 65.10 69.10 45.60 76.80 79.30 55.00 49.60 20.30 68.30 42.70 55.40 28.30 67.30 58.80 49.80 45 90
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 19.50 67.80 38.20 74.20 46 50
Xn
LLAMA
=
# encontramos los datos *altantes 1#
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3
#' &' 2 45.58 46.25 37.77 47.70 55.51 44.13 74.20 54.93 55.89 85.28 54.64 39.51 51.07 75.74 45.10 51.46 57.43 45.77 44.33 48.95 34.31 27.56 27.95 43.36
3.( ,inalmente las 'reci'itaciones *alta
AÑOS 1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975
DATO FALT$ 45.58 46.25 37.77 47.70 55.51 44.13 74.20 54.93 55.89 85.28 54.64
_ _ _
X ___ X
51$10
X : es la media aritmtica.
"9$"
: es la 'reci'itacin de cada estacin.
47
1976 1977 1978 1979 1980 1981 198 198! 198"
39.51 51.07 75.74 45.10 51.46 57.43 45.77 44.33 48.95
PROMEDIO N° 8 ESTACION PLUVIOMETRICA EP2 COCHABAMBA Y LA ESTACIO 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P CC$/// con la +P $/? :
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
ESTACIONES
2.( Con la *rm"la :
HUAMBOS
COCHABAMBA
47.30 48.00 39.20 49.50 57.60 45.80 77.00 57.00 58.00 88.50 56.70 41.00 53.00 78.60 46.80 53.40 59.60 47.50 46.00 50.80 35.60 28.60 29.00 45.00 33.40 28.80 20.60 15.00 48.50 60.70 77.80 65.10 69.10 45.60 76.80 79.30 55.00 49.60 20.30 68.30 42.70 55.40 28.30 67.30 58.80 49.80 45 90
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 60.60 83.20 55.80 57.50 49 20
Xn COCHABAMBA # encontramos los datos *altantes 1#
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3
#' &' 2 56.71 57.55 47.00 59.34 69.06 54.91 92.31 68.34 69.53 106.10 67.98 49.15 63.54 94.23 56.11 64.02 71.45 56.95 55.15 60.90 42.68 34.29 34.77 53.95
3.( ,inalmente las 'reci'itaciones *alta
AÑOS 1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975
DATO FALT$ 56.71 57.55 47.00 59.34 69.06 54.91 92.31 68.34 69.53 106.10 67.98
_ _ _
X ___ X X
51$10
61$6
: es la media aritmtica. : es la 'reci'itacin de cada estacin.
47
1976 1977 1978 1979 1980 1981 198 198! 198"
49.15 63.54 94.23 56.11 64.02 71.45 56.95 55.15 60.90
PROMEDIO N° 9 ESTACION PLUVIOMETRICA EP2 CHANCAY BAÑOS Y LA ESTAC 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P C$/NC/ /? con la +P C$A- :
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
ESTACIONES
2.( Con la *rm"la :
CHUUR
CHANCAY B$
45.30 55.40 35.60 40.80 33.70 47.30 60.50 54.20 61.80 66.30 46.30 57.70 76.70 35.80 35.80 30.30 35.30 35.70 32.80 37.90 45.20 19.50 19.80 45.60 40.80 37.80 50.20 49.80 44.80 36.80 44.90 60.80 58.80 60.90 66.50 42.80 45.70 35.40 34.40 65.50 56.10 50.20 44.30 47.30 42.90 31.90 49.70
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 36.70 65.50 36.30 42.50 25.30 45.20 46.80 42.40 64.20 NP 60.20 67.90 NP 66.30 45.70 57.80 67.50 36.80 64.50 55.80 42.20 41.90 NP NP
X n CHANCAY
BAÑO
# encontramos los datos *altantes 1#
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3 #18 3 #19 3 #0 3 #1 3 # 3 #! 3 #" 3
#' &' 2 50.00 61.15 39.29 45.03 37.20 52.21 66.78 59.82 68.21 73.18 51.10 63.69 84.66 39.51 39.51 33.44 38.96 39.40 36.20 41.83 49.89 21.52 21.85 64.90
3.( ,inalmente las 'reci'itaciones *alta
AÑOS 1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975
DATO FALT$ 50.00 61.15 39.29 45.03 37.20 52.21 66.78 59.82 68.21 73.18 51.10
_ _ _
X ___ X X
"5$8
50$58
: es la media aritmtica. : es la 'reci'itacin de cada estacin.
47
1976 1977 1978 1979 1980
63.69 84.66 39.51 39.51 33.44
PROMEDIO N° 10 ESTACION PLUVIOMETRICA EP2 QUILCATE Y LA ESTACION 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P LC/=+ con la +P C$A- :
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
ESTACIONES
2.( Con la *rm"la :
CHUUR
QUILCATE
45.30 55.40 35.60 40.80 33.70 47.30 60.50 54.20 61.80 66.30 46.30 57.70 76.70 35.80 35.80 30.30 35.30 35.70 32.80 37.90 45.20 19.50 19.80 45.60 40.80 37.80 50.20 49.80 44.80 36.80 44.90 60.80 58.80 60.90 66.50 42.80 45.70 35.40 34.40 65.50 56.10 50.20 44.30 47.30 42.90 31.90 49.70
NP 46.90 NP 34.50 30.90 NP NP NP 37.60 NP NP NP 48.00 14.40 16.50 13.80 13.20 43.70 18.90 11.90 17.60 11.80 14.10 18.90 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
Xn QUILCATE # encontramos los datos *altantes 1#
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3
#' &' 2 24.26 19.07 25.34 32.41 29.03 35.51 24.80 30.91 21.85 20.25 26.89 26.67 24.00 19.71 24.05 32.57 31.50
3.( ,inalmente las 'reci'itaciones *alta
AÑOS 1965 1967 1970 1971 197 197" 1975 1976 1989 1990 1991 199 199!
DATO FALT$ 24.26 19.07 25.34 32.41 29.03 35.51 24.80 30.91 21.85 20.25 26.89 26.67 24.00
_ _ _
X ___ X X
"5$8
"$5"
: es la media aritmtica. : es la 'reci'itacin de cada estacin.
47
199" 1995 1996 1997
19.71 24.05 32.57 31.50
PROMEDIO N° 11 ESTACION PLUVIOMETRICA EP2 SANTA CRU Y LA ESTACIO 1.( C)lc"lo de las 'reci'itaciones *altantes de la +P ?/N=/ C-B con la +P C$A- :
AÑOS 1965 1966 1967 1968 1969 1970 1971 1972 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 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
ESTACIONES
2.( Con la *rm"la :
CHUUR
SANTA CRU
45.30 55.40 35.60 40.80 33.70 47.30 60.50 54.20 61.80 66.30 46.30 57.70 76.70 35.80 35.80 30.30 35.30 35.70 32.80 37.90 45.20 19.50 19.80 45.60 40.80 37.80 50.20 49.80 44.80 36.80 44.90 60.80 58.80 60.90 66.50 42.80 45.70 35.40 34.40 65.50 56.10 50.20 44.30 47.30 42.90 31.90 49.70
45.80 29.80 26.90 NP NP 24.10 45.80 29.90 40.30 18.90 56.30 54.40 NP 70.30 40.60 NP NP NP NP NP NP NP NP 32.30 29.80 NP 48.60 24.80 27.80 69.80 58.60 23.80 60.90 NP NP NP 56.80 29.20 20.50 49.80 26.80 56.10 28.90 37.30 40.20 NP NP
XnSANTA
CRU
# encontramos los datos *altantes 1#
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3 #15 3 #16 3 #17 3
3.( ,inalmente las 'reci'itaciones *alta
AÑOS 1968 1969 1977 1980 1981 198 198! 198" 1985 1986 1987 1990 1998 1999 000
_ _ _
X
"5 $8
" 0$1 7
___
X
: es la media aritmtica. : es la 'reci'itacin de cada estacin.
X
47
010 011
DE LA CUENCA DEL RIO CHANCAY CHANCAY CHANCAY B$
CHUUR
QUILCATE
COCHABAMBA
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 36.70 65.50 36.30 42.50 25.30 45.20 46.80 42.40 64.20 NP 60.20 67.90 NP 66.30 45.70 57.80 67.50 36.80 64.50 55.80 42.20 41.90
45.30 55.40 35.60 40.80 33.70 47.30 60.50 54.20 61.80 66.30 46.30 57.70 76.70 35.80 35.80 30.30 35.30 35.70 32.80 37.90 45.20 19.50 19.80 45.60 40.80 37.80 50.20 49.80 44.80 36.80 44.90 60.80 58.80 60.90 66.50 42.80 45.70 35.40 34.40 65.50 56.10 50.20 44.30 47.30 42.90
NP 46.90 NP 34.50 30.90 NP NP NP 37.60 NP NP NP 48.00 14.40 16.50 13.80 13.20 43.70 18.90 11.90 17.60 11.80 14.10 18.90 NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP
NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP NP 60.60 83.20 55.80
NP NP 67 $90
31.90 49.70 76$ 70
NP) No 'resenta dato en ese a@o.
NP NP " 8 $0 0
57.50 49.20 8!$ 0
UVIOMETRICA EP2 HUAMBOS
___
X HUAMBOS
* X LL LLAMA
___
X HUAMBOS 2# 3# # n :
VARIABLE #5 3 #6 3 #7 3 #8 3 #9 3 #!0 3 #!1 3 #! 3 #!! 3 #!" 3 #!5 3 #!6 3 #!7 3 #!8 3 #!9 3 #"0 3 #"1 3 #" 3
#' 40.04 34.53 24.70 17.98 58.15 72.77 93.27 78.05 82.84 54.67 92.07 95.07 65.94 59.46 24.34 81.88 51.19 66.42
ntes ;en mm< :
AÑOS 1985 1986 1987 1988 1989 1990 1991 199 199! 199" 1995
DATO FALT$ 34.31 27.56 27.95 43.36 40.04 34.53 24.70 17.98 58.15 72.77 93.27
AÑOS 005 006
DATO FALT$ 51.19 66.42
1996 1997 1998 1999 000 001 00 00! 00"
78.05 82.84 54.67 92.07 95.07 65.94 59.46 24.34 81.88
PLUVIOMETRICA EP2 HUAMBOS
___
X HUAMBOS * X COCHABAMBA ___
X HUAMBOS 2# 3# # n :
VARIABLE #5 3 #6 3 #7 3 #8 3 #9 3 #!0 3 #!1 3 #! 3 #!! 3 #!" 3 #!5 3 #!6 3 #!7 3 #!8 3 #!9 3 #"0 3 #"1 3 #" 3
#' 40.04 34.53 24.70 17.98 58.15 72.77 93.27 78.05 82.84 54.67 92.07 95.07 65.94 59.46 24.34 81.88 51.19 66.42
ntes ;en mm< :
AÑOS 1985 1986 1987 1988 1989 1990 1991 199 199! 199" 1995
DATO FALT$ 42.68 34.29 34.77 53.95 40.04 34.53 24.70 17.98 58.15 72.77 93.27
AÑOS 005 006
DATO FALT$ 51.19 66.42
1996 1997 1998 1999 000 001 00 00! 00"
78.05 82.84 54.67 92.07 95.07 65.94 59.46 24.34 81.88
ION PLUVIOMETRICA EP2 CHUUR
___
=
X C H U G U R* X CHANCAY B A Ñ O S
S
___
X C H U G U R 2# 3# # n :
VARIABLE #5 3 #6 3 #7 3
#' 47.24 35.21 54.86
ntes ;en mm< :
AÑOS 1981 198 198! 198" 1985 1986 1987 1997 000 010 011
DATO FALT$ 38.96 39.40 36.20 41.83 49.89 21.52 21.85 64.90 47.24 35.21 54.86
PLUVIOMETRICA EP2 CHUUR
___
X CHUGUR * X QUILCATE ___
X CHUGUR 2# 3# # n :
VARIABLE #1 3 # 3 #! 3 #" 3 #5 3 #6 3 #7 3 #8 3 #9 3 #10 3 #11 3 #1 3 #1! 3 #1" 3
#' &' 2 32.62 35.62 22.93 24.48 18.96 18.43 35.08 30.05 26.89 23.73 25.34 22.98 17.09 26.62
ntes ;en mm< :
AÑOS 1998 1999 000 001 00 00! 00" 005 006 007 008 009 010
DATO FALT$ 32.62 35.62 22.93 24.48 18.96 18.43 35.08 30.05 26.89 23.73 25.34 22.98 17.09
011
26.62
PLUVIOMETRICA EP2 CHUUR
___
=
X CHUGUR * X SANTA ___
X CHUGUR 2# 3# # n :
#' 35.77 29.54 67.24 26.56 30.95 31.30 28.75 33.23 39.63 17.10 17.36 33.14 53.39 58.30 37.52 27.97 43.57
UNIDAD mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm
ntes :
DATOS FALTANTES 35.77 29.54 67.24 26.56 30.95 31.30 28.75 33.23 39.63 17.10 17.36 33.14 53.39 58.30 37.52
UNIDAD mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm
CRUZ
27.97 43.57
mm mm
CUADRO RESUMEN N° 01 DE LAS PRECIPITACIONES MA#IMAS EN " HORA AÑO 1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198! 198" 1985 1986 1987 1988 1989 1990 1991 199 199! 199" 1995 1996 1997 1998 1999 000 001 00 00! 00" 005 006 007 008 009 010
LAMBAYEQUE 8.40 4.40 6.10 6.80 4.40 1.60 11.90 31.60 41.80 7.60 4.70 3.50 3.00 1.90 1.80 1.40 3.90 1.20 63.60 4.20 10.15 18.75 3.80 3.10 3.40 3.20 6.90 14.20 6.80 16.10 6.50 3.00 40.50 31.90 20.10 8.50 40.80 16.20 14.70 3.40 15.80 12.70 3.60 11.70 5.70 17.10
FERREÑAFE 16.00 3.00 6.00 2.00 9.00 3.20 21.70 65.00 16.60 2.00 9.00 6.00 10.00 2.00 3.00 4.00 32.00 5.00 90.61 6.00 14.46 26.71 5.41 4.42 4.84 4.56 9.83 20.23 9.69 3.00 13.00 2.00 9.90 180.80 12.40 1.60 36.60 48.90 5.30 3.60 2.20 8.40 6.50 21.00 18.50 12.58
CHICLAYO 30.69 16.08 22.29 24.85 16.08 5.85 43.48 115.47 152.74 27.77 17.17 12.79 10.96 6.94 6.58 5.12 14.25 4.38 43.50 15.35 37.09 68.52 13.89 11.33 12.42 11.69 25.21 51.89 24.85 58.83 23.75 10.96 147.99 116.57 73.45 31.06 149.09 59.20 53.72 12.42 57.74 46.41 13.15 42.75 20.83 62.49
PUCALA 8.70 4.56 6.32 7.04 4.56 2.70 19.80 12.30 14.50 7.87 4.87 3.62 3.11 1.97 1.86 1.45 4.04 1.24 65.85 4.35 10.51 19.41 3.93 3.21 3.52 3.31 7.14 14.70 7.04 16.67 6.73 3.11 41.93 33.03 20.81 8.80 42.24 16.77 15.22 3.52 16.36 13.15 3.73 12.11 5.90 17.70
TINA4ONES 44.20 19.80 2.60 47.30 9.10 93.20 22.50 34.50 5.00 2.10 10.06 7.49 6.42 4.07 3.85 3.00 8.35 2.57 136.16 8.99 21.73 40.14 8.14 6.64 7.28 6.85 14.77 30.40 14.56 34.47 1.40 9.40 17.40 116.30 26.35 11.32 21.41 12.39 24.00 13.56 21.12 14.85 25.47 34.89 17.25 22.21
011 MA#$
7.10 6!$60
19.70 180$80
25.94 15$7"
7.35 65$85
18.50 1!6$16
CUADRO RESUMEN N° 0 DE LAS PRECIPITACIONES MA#IMAS EN " AÑO 1965 1966 1967 1968 1969 1970 1971 197 197! 197" 1975 1976 1977 1978 1979 1980 1981 198 198! 198" 1985 1986 1987 1988 1989 1990 1991 199 199! 199" 1995 1996 1997 1998 1999 000 001 00 00! 00" 005 006 007 008 009 010
PUCHACA 40.00 24.30 31.50 8.80 95.40 14.30 59.00 147.00 58.70 27.50 60.30 62.70 60.00 101.50 40.10 11.10 20.30 23.20 150.00 30.20 6.10 8.20 60.20 9.70 51.50 8.50 4.20 12.90 60.90 96.20 65.30 30.30 30.00 150.50 20.54 30.55 42.57 70.30 6.55 124.40 20.32 40.30 20.80 54.40 56.30 47.50
TOCMOCHE 55.00 12.00 94.00 4.50 48.00 25.00 45.00 60.00 35.00 20.00 70.00 35.00 100.40 40.00 55.00 20.00 30.00 60.00 76.00 36.00 25.00 20.00 40.00 28.00 45.00 15.00 5.20 61.00 47.00 12.00 7.00 32.00 85.00 106.00 52.20 116.20 74.40 64.00 83.60 118.00 36.90 44.00 33.00 108.60 53.90 45.80
LLAMA 45.58 46.25 37.77 47.70 55.51 44.13 74.20 54.93 55.89 85.28 54.64 39.51 51.07 75.74 45.10 51.46 57.43 45.77 44.33 48.95 34.31 27.56 27.95 43.36 40.04 34.53 24.70 17.98 58.15 72.77 93.27 78.05 82.84 54.67 92.07 95.07 65.94 59.46 24.34 81.88 51.19 66.42 19.50 67.80 38.20 74.20
HUAMBOS 47.30 48.00 39.20 49.50 57.60 45.80 77.00 57.00 58.00 88.50 56.70 41.00 53.00 78.60 46.80 53.40 59.60 47.50 46.00 50.80 35.60 28.60 29.00 45.00 33.40 28.80 20.60 15.00 48.50 60.70 77.80 65.10 69.10 45.60 76.80 79.30 55.00 49.60 20.30 68.30 42.70 55.40 28.30 67.30 58.80 49.80
SANTA CRU 45.80 29.80 26.90 35.77 29.54 24.10 45.80 29.90 40.30 18.90 56.30 54.40 67.24 70.30 40.60 26.56 30.95 31.30 28.75 33.23 39.63 17.10 17.36 32.30 29.80 33.14 48.60 24.80 27.80 69.80 58.60 23.80 60.90 53.39 58.30 37.52 56.80 29.20 20.50 49.80 26.80 56.10 28.90 37.30 40.20 27.97
CHANCAY B$ 50.00 61.15 39.29 45.03 37.20 52.21 66.78 59.82 68.21 73.18 51.10 63.69 84.66 39.51 39.51 33.44 38.96 39.40 36.20 41.83 49.89 21.52 21.85 36.70 65.50 36.30 42.50 25.30 45.20 46.80 42.40 64.20 64.90 60.20 67.90 47.24 66.30 45.70 57.80 67.50 36.80 64.50 55.80 42.20 41.90 35.21
011 MA#$
35.20 150$50
64.50 118$00
46.50 95$07
45.90 88$50
43.57 70$!0
54.86 8"$66
S REQUE 8.58 4.49 6.23 6.95 4.49 1.63 12.15 32.27 42.69 7.76 4.80 3.57 3.06 1.94 1.84 1.43 3.98 1.23 64.96 4.29 10.37 19.15 3.88 3.17 3.47 3.27 7.05 14.50 6.95 16.44 6.64 3.06 17.50 60.40 10.20 9.20 6.00 7.30 3.00 7.00 2.50 4.30 7.50 11.00 5.82 17.46
PIMENTEL 39.66 20.77 28.80 32.10 20.77 7.55 56.18 149.18 197.34 35.88 22.19 16.52 14.16 8.97 8.50 6.61 18.41 5.67 56.20 19.83 47.92 88.52 17.94 14.64 16.05 15.11 32.57 67.04 32.10 76.01 30.69 14.16 191.20 150.60 94.89 40.13 192.62 76.48 69.40 16.05 74.59 59.96 17.00 55.24 26.91 80.73
7.25 6"$96
33.52 197$!"
HORAS CHUUR 45.30 55.40 35.60 40.80 33.70 47.30 60.50 54.20 61.80 66.30 46.30 57.70 76.70 35.80 35.80 30.30 35.30 35.70 32.80 37.90 45.20 19.50 19.80 45.60 40.80 37.80 50.20 49.80 44.80 36.80 44.90 60.80 58.80 60.90 66.50 42.80 45.70 35.40 34.40 65.50 56.10 50.20 44.30 47.30 42.90 31.90
QUILCATE 24.26 46.90 19.07 34.50 30.90 25.34 32.41 29.03 37.60 35.51 24.80 30.91 48.00 14.40 16.50 13.80 13.20 43.70 18.90 11.90 17.60 11.80 14.10 18.90 21.85 20.25 26.89 26.67 24.00 19.71 24.05 32.57 31.50 32.62 35.62 22.93 24.48 18.96 18.43 35.08 30.05 26.89 23.73 25.34 22.98 17.09
COCHABAMBA 56.71 57.55 47.00 59.34 69.06 54.91 92.31 68.34 69.53 106.10 67.98 49.15 63.54 94.23 56.11 64.02 71.45 56.95 55.15 60.90 42.68 34.29 34.77 53.95 40.04 34.53 24.70 17.98 58.15 72.77 93.27 78.05 82.84 54.67 92.07 95.07 65.94 59.46 24.34 81.88 51.19 66.42 60.60 83.20 55.80 57.50
49.70 76$70
26.62 "8$00
49.20 106$10
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA LAMBAYEQUE 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 63.60 41.80 40.80 40.50 31.90 31.60 20.10 18.75 17.10 16.20 16.10 15.80 14.70 14.20 12.70 11.90 11.70 10.15 8.50 8.40 7.60 7.10 6.90 6.80 6.80 6.50 6.10 5.70 4.70 4.40 4.40 4.20 3.90 3.80 3.60 3.50 3.40 3.40 3.20 3.10 3.00 3.00 1.90 1.80 1.60 1.40 1.20
Y 3 L # 1.803 1.621 1.611 1.607 1.504 1.500 1.303 1.273 1.233 1.210 1.207 1.199 1.167 1.152 1.104 1.076 1.068 1.006 0.929 0.924 0.881 0.851 0.839 0.833 0.833 0.813 0.785 0.756 0.672 0.643 0.643 0.623 0.591 0.580 0.556 0.544 0.531 0.531 0.505 0.491 0.477 0.477 0.279 0.255 0.204 0.146 0.079
Y -Y/ 0.933 0.751 0.740 0.737 0.633 0.629 0.433 0.402 0.362 0.339 0.336 0.328 0.297 0.282 0.233 0.205 0.198 0.136 0.059 0.054 0.010 (0.019 (0.032 (0.038 (0.038 (0.058 (0.085 (0.115 (0.199 (0.227 (0.227 (0.247 (0.280 (0.291 (0.314 (0.327 (0.339 (0.339 (0.365 (0.379 (0.393 (0.393 (0.592 (0.615 (0.666 (0.724 (0.791
∑ x =
559.50
∑Y =
Xx =
11.90
Y y
x
13.14
σ
σ =
y
Y -Y/2! 0.812 0.423 0.405 0.400 0.254 0.249 0.081 0.065 0.048 0.039 0.038 0.035 0.026 0.022 0.013 0.009 0.008 0.003 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.002 (0.008 (0.012 (0.012 (0.015 (0.022 (0.025 (0.031 (0.035 (0.039 (0.039 (0.049 (0.055 (0.061 (0.061 (0.207 (0.233 (0.296 (0.380 (0.496 0.852 40.92 =
=
0.87 0.422
T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
N3
47.00
METODO UMBEL TIPO I
∑ x =
559.50
=
11.90
Xx
x
σ =
13.14
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 α
1Iα 3.( ?e calc"la la moda :
u
=
Xx
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
=
=
σ x σ y
31.11
1 α
− Y N (5.12
y
1 = u + * w α
-5$1 +
!1$11
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
Y 3 P:&,+$ 6.39 41.54 64.88 94.43 116.21 137.99 160.24 188.08 209.86
METODO DE LO PEARSON III
∑Y = Y y
y
σ
40.92 =
=
0.87 0.422
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy =
N x
∑ ( Y − Yy )
3
( N − 1) x ( N − 2) xσ y
L"e&o :
CS/ 3
0.2569
CE G
0.4851
3
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y = Y y + +ntonces :
L Y 3
0$87
σ y
*
K
+
0$"
=
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$562 (0.042 0.827 1.305 1.834 2.185 2.508 2.815 3.000 3.500
L Y 0.853 1.220 1.422 1.645 1.793 1.930 2.059 2.138 2.349
Y 3 P:&,+$ 7.13 16.59 26.41 44.16 62.15 85.09 114.64 137.30 223.29
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION LAMBAYEQUE
ESTACIN LAMBAYEQUE - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN LAMBAYEQUE - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
: &' . <
CALCULO DE LA PRECIPITACION MEDIA POLIONO DE THIESSEEN
P !"i# = O:&' 1 ! " 5 6 7 8 9 10 11 1 1! 1" 15 16
E<(.,+' L//++ ,+--+/,+ C$CL/ PC/L/ =N/>N+? -++ P+N=+L PC$/C/ =CC$+ LL// $/? ?/N=/ C-B C$/NC/ . C$ALC/=+ CC$/// TOTAL
1
AT
n
∑ Ai * Pi i =1
A:&. G2 700.64 518.97 144.91 500.76 648.49 150.30 62.71 39.92 190.24 472.88 227.06 523.51 176.36 480.79 510.20 56.43 5"0"$17
P:&,+$ 2 63.60 180.80 152.74 65.85 136.16 64.96 197.34 150.50 118.00 95.07 88.50 70.30 84.66 76.70 48.00 106.10
L%& . P:&,+$ &+. 3
95$58
PROMEDIO ARITMETICO
P !"i#
=
1
n
Pi ∑ n i =1
ORDEN 1 2 3 4 5 6 7 8
E<(.,+' L//++ ,+--+/,+ C$CL/ PC/L/ =N/>N+? -++ P+N=+L PC$/C/
P:&,+$ 2 63.60 180.80 152.74 65.85 136.16 64.96 197.34 150.50
A+ = P:&,+$ 44560.70 93829.78 22134.09 32973.99 88299.57 9763.10 12375.06 6007.96 22448.32 44957.10 20094.81 36802.75 14930.15 36876.59 24489.60 5987.25 5165!0$8
9 10 11 12 13 14 15 16
=CC$+ LL// $/? ?/N=/ C-B C$/NC/ . C$ALC/=+ CC$/// TOTAL
L%& . P:&,+$ &+. 3
118.00 95.07 88.50 70.30 84.66 76.70 48.00 106.10 1699$8
106$0
RESULTADO DE PRECIPITACIONES SEN EL ANALISIS DE FRECUENCIAS ESTACION LAMBAYEQUE T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 6.39 41.54 64.88 94.43 116.21 137.99 160.24 188.08 209.86
METODO LO PEARSON III 7.13 16.59 26.41 44.16 62.15 85.09 114.64 137.30 223.29
ESTACION FERREÑAFE T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 6.16 77.86 125.45 185.73 230.14 274.56 319.93 376.71 421.13
METODO LO PEARSON III 7.96 21.00 37.23 71.95 113.18 173.47 260.50 280.02 347.42
ESTACION CHICLAYO T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 22.25 132.09 205.00 297.36 365.40 433.45 502.96 589.96 658.01
METODO LO PEARSON III 21.16 56.45 86.32 137.09 185.81 244.98 316.50 362.08 386.20
ESTACION PUCALA T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 5.89 41.37 64.92 94.74 116.72 138.69 161.14 189.24 211.22
METODO LO PEARSON III 7.22 15.99 24.74 40.13 55.41 74.44 98.65 107.20 109.38
RESULTADO DE PRECIPITACIONES SEN EL ANALISIS DE FRECUENCIAS ESTACION TINA4ONES T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 11.63 81.77 128.33 187.30 230.75 274.19 318.58 374.13 417.58
METODO LO PEARSON III 15.78 32.83 44.81 59.45 69.59 78.94 87.48 89.37 91.39
ESTACION REQUE T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 4.40 43.19 68.94 101.55 125.58 149.61 174.16 204.88 228.92
METODO LO PEARSON III 5.98 13.56 21.91 38.19 55.96 80.22 113.03 137.94 181.70
ESTACION PIMENTEL T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 28.74 170.66 264.86 384.17 472.09 560.00 649.80 762.21 850.12
METODO LO PEARSON III 33.11 72.93 111.53 177.28 240.06 316.80 409.29 492.56 509.18
ESTACION PUCHACA T: 3 N1 2 ? 2 5 10 25 50 100 200
METODO UMBEL 30.08 140.77 214.24 307.30 375.87 444.45 514.49
METODO LO PEARSON III 35.66 72.65 101.99 143.05 175.72 209.51 244.68
500 1000
602.16 670.73
306.85 324.21
RESULTADO DE PRECIPITACIONES SEN EL ANALISIS DE FRECUENCIAS ESTACION TOCMOCHE T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 34.03 135.01 202.03 286.93 349.48 412.03 475.93 555.91 618.46
METODO LO PEARSON III 44.94 76.54 94.77 113.94 125.99 135.29 143.49 159.54 171.58
ESTACION LLAMA T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 33.78 162.12 247.30 355.20 434.71 514.21 595.42 697.07 776.57
METODO LO PEARSON III 52.15 70.71 81.16 92.58 100.01 106.64 112.63 132.68 146.76
ESTACION HUAMBOS T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 33.05 148.10 224.46 321.19 392.46 463.73 536.53 627.66 698.93
METODO LO PEARSON III 51.10 66.23 73.49 80.39 84.42 87.40 89.94 94.70 98.12
ESTACION SANTA CRU T: 3 N1 2 ? 2 5 10 25
METODO UMBEL 22.84 123.57 190.43 275.11
METODO LO PEARSON III 35.90 49.43 58.28 69.21
50 100 200 500 1000
337.51 399.91 463.64 543.43 605.82
77.89 93.50 94.83 105.50 115.76
RESULTADO DE PRECIPITACIONES SEN EL ANALISIS DE FRECUENCIAS ESTACION CHANCAY BAÑOS T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 30.57 151.44 231.66 333.28 408.15 483.02 559.50 655.24 730.11
METODO LO PEARSON III 48.79 61.66 68.63 76.09 80.87 83.92 88.95 97.84 104.65
ESTACION CHUUR T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 28.28 140.08 214.29 308.28 377.54 446.80 517.54 606.09 675.35
METODO LO PEARSON III 45.56 56.36 61.93 67.08 71.22 74.28 76.95 83.67 88.94
ESTACION QUILCATE T: 3 N1 2 ? 2 5 10 25 50 100 200 500 1000
METODO UMBEL 15.33 80.67 124.04 178.98 219.46 259.93 301.28 353.03 393.51
1 24.39 32.47 37.49 43.51 47.79 51.92 55.93 62.14 70.23
ESTACION COCHABAMBA T: 3 N1 2 ? 2
METODO UMBEL 39.64
METODO LO PEARSON III 61.82
5 10 25 50 100 200 500 1000
178.33 270.38 386.98 472.89 558.81 646.56 756.41 842.32
79.15 87.15 94.59 98.69 101.83 104.34 111.38 115.14
1000
1000
RESULTADOS DE LAS DISTRIBUCIONES CON ME4OR A4USTE EN LAS SERIES PLUVIOMETRICAS 2
ESTACION L//++ ,+--+/,+ C$CL/ PC/L/ =N/>N+? -++ P+N=+L PC$/C/ =CC$+ LL// $/? ?/N=/ C-B C$/NC/ /? C$ALC/=+ CC$///
DISTRIBUCION DE MAYOR A4USTE Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o A"mbel =i'o A"mbel =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o Lo& Pearson =i'o
7.13 7.96 21.16 5.89 11.63 5.98 33.11 35.66 44.94 52.15 51.10 35.90 48.79 45.56 24.39 61.82
5 16.59 21.00 56.45 41.37 81.77 13.56 72.93 72.65 76.54 70.71 66.23 49.43 61.66 56.36 32.47 79.15
10 26.41 37.23 86.32 64.92 128.33 21.91 111.53 101.99 94.77 81.16 73.49 58.28 68.63 61.93 37.49 87.15
PERIODOS DE RETORNO 5 50 100 44.16 62.15 85.09 71.95 113.18 173.47 137.09 185.81 244.98 94.74 116.72 138.69 187.30 230.75 274.19 38.19 55.96 80.22 177.28 240.06 316.80 143.05 175.72 209.51 113.94 125.99 135.29 92.58 100.01 106.64 80.39 84.42 87.40 69.21 77.89 93.50 76.09 80.87 83.92 67.08 71.22 74.28 43.51 47.79 51.92 94.59 98.69 101.83
00 114.64 260.50 316.50 161.14 318.58 113.03 409.29 244.68 143.49 112.63 89.94 94.83 88.95 76.95 55.93 104.34
500 137.30 280.02 362.08 189.24 374.13 137.94 492.56 306.85 159.54 132.68 94.70 105.50 97.84 83.67 62.14 111.38
1000 223.29 347.42 386.20 211.22 417.58 181.70 509.18 324.21 171.58 146.76 98.12 115.76 104.65 88.94 70.23 115.14
F%&'(&) +laboracin de los tesistas
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA FERR 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 180.80 90.61 65.00 48.90 36.60 32.00 26.71 21.70 21.00 20.23 19.70 18.50 16.60 16.00 14.46 13.00 12.58 12.40 10.00 9.90 9.83 9.69 9.00 9.00 8.40 6.50 6.00 6.00 6.00 5.41 5.30 5.00 4.84 4.56 4.42 4.00 3.60 3.20 3.00 3.00 3.00 2.20 2.00 2.00 2.00 2.00 1.60
∑ x = Xx x σ
= =
Y 3 L # 2.257 1.957 1.813 1.689 1.563 1.505 1.427 1.336 1.322 1.306 1.294 1.267 1.220 1.204 1.160 1.114 1.100 1.093 1.000 0.996 0.993 0.986 0.954 0.954 0.924 0.813 0.778 0.778 0.778 0.733 0.724 0.699 0.685 0.659 0.645 0.602 0.556 0.505 0.477 0.477 0.477 0.342 0.301 0.301 0.301 0.301 0.204
Y -Y/ 1.309 1.009 0.864 0.741 0.615 0.557 0.478 0.388 0.374 0.358 0.346 0.319 0.272 0.256 0.212 0.166 0.151 0.145 0.052 0.047 0.044 0.038 0.006 0.006 (0.024 (0.136 (0.170 (0.170 (0.170 (0.215 (0.224 (0.249 (0.263 (0.290 (0.303 (0.346 (0.392 (0.443 (0.471 (0.471 (0.471 (0.606 (0.647 (0.647 (0.647 (0.647 (0.744
818.24
∑Y =
17.41
Y y
29.72
σ
y
Y -Y/2! 2.242 1.026 0.646 0.407 0.233 0.173 0.109 0.058 0.052 0.046 0.041 0.032 0.020 0.017 0.009 0.005 0.003 0.003 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.002 (0.005 (0.005 (0.005 (0.010 (0.011 (0.016 (0.018 (0.024 (0.028 (0.042 (0.060 (0.087 (0.105 (0.105 (0.105 (0.223 (0.271 (0.271 (0.271 (0.271 (0.412 2.776 44.58 =
0.95
=
0.468
N3
47.00
METODO UMBEL TIPO I
∑ x =
818.24
=
17.41
Xx
x
σ =
29.72
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
63.45
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(17.32
1 * w α
y = u + -17$! +
6!$"5
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
44.58 = =
0.95 0.468
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
0.6135
CE G
0.4938
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y = +ntonces :
L Y 3
Yy +
σ y
0$95
*
K
+
0$"68
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$61!2 (0.101 0.798 1.329 1.940 2.360 2.756 3.133 3.200 3.400
L Y 0.901 1.322 1.571 1.857 2.054 2.239 2.416 2.447 2.541
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION FERREÑAFE
ESTACIN FERREÑAFE - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN FERREÑAFE - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
EÑAFE T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 6.16 77.86 125.45 185.73 230.14 274.56 319.93 376.71 421.13
=
Y 3 P:&,+$ 7.96 21.00 37.23 71.95 113.18 173.47 260.50 280.02 347.42
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA CHI 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 152.74 149.09 147.99 116.57 115.47 73.45 68.52 62.49 59.20 58.83 57.74 53.72 51.89 46.41 43.50 43.48 42.75 37.09 31.06 30.69 27.77 25.94 25.21 24.85 24.85 23.75 22.29 20.83 17.17 16.08 16.08 15.35 14.25 13.89 13.15 12.79 12.42 12.42 11.69 11.33 10.96 10.96 6.94 6.58 5.85 5.12 4.38
∑ x = Xx x σ
= =
Y 3 L # 2.184 2.173 2.170 2.067 2.062 1.866 1.836 1.796 1.772 1.770 1.761 1.730 1.715 1.667 1.638 1.638 1.631 1.569 1.492 1.487 1.444 1.414 1.402 1.395 1.395 1.376 1.348 1.319 1.235 1.206 1.206 1.186 1.154 1.143 1.119 1.107 1.094 1.094 1.068 1.054 1.040 1.040 0.842 0.818 0.767 0.709 0.642
Y -Y/ 0.766 0.756 0.752 0.649 0.645 0.448 0.418 0.378 0.354 0.352 0.344 0.312 0.297 0.249 0.221 0.220 0.213 0.151 0.074 0.069 0.026 (0.004 (0.016 (0.023 (0.023 (0.042 (0.070 (0.099 (0.183 (0.212 (0.212 (0.232 (0.264 (0.275 (0.299 (0.311 (0.324 (0.324 (0.350 (0.364 (0.378 (0.378 (0.576 (0.600 (0.651 (0.709 (0.776
1855.60
∑Y =
39.48
Y y
38.90
σ
y
Y -Y/2! 0.450 0.431 0.426 0.273 0.268 0.090 0.073 0.054 0.045 0.044 0.041 0.030 0.026 0.015 0.011 0.011 0.010 0.003 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.006 (0.009 (0.009 (0.012 (0.018 (0.021 (0.027 (0.030 (0.034 (0.034 (0.043 (0.048 (0.054 (0.054 (0.191 (0.216 (0.276 (0.356 (0.467 0.392 66.64 =
1.42
=
0.400
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
1855.60
=
39.48
x
σ =
38.90
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
97.21
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(13.72
1 * w α
y = u + -1!$7
+
97$1
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
66.64 1.42
= =
0.400
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
0.1388
CE G
0.2822
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$"
*
K
+
0$"00
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$1!82 (0.231 0.834 1.295 1.797 2.127 2.427 2.705 2.851 2.921
L Y 1.325 1.752 1.936 2.137 2.269 2.389 2.500 2.559 2.587
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION CHICLAYO
ESTACIN CHICLAYO - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN CHICLAYO - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
LAYO T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 22.25 132.09 205.00 297.36 365.40 433.45 502.96 589.96 658.01
=
Y 3 P:&,+$ 21.16 56.45 86.32 137.09 185.81 244.98 316.50 362.08 386.20
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA PU 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 65.85 42.24 41.93 33.03 20.81 19.80 19.41 17.70 16.77 16.67 16.36 15.22 14.70 14.50 13.15 12.30 12.11 10.51 8.80 8.70 7.87 7.35 7.14 7.04 7.04 6.73 6.32 5.90 4.87 4.56 4.56 4.35 4.04 3.93 3.73 3.62 3.52 3.52 3.31 3.21 3.11 3.11 2.70 1.97 1.86 1.45 1.24
∑ x = Xx x σ
= =
Y 3 L # 1.819 1.626 1.623 1.519 1.318 1.297 1.288 1.248 1.225 1.222 1.214 1.182 1.167 1.161 1.119 1.090 1.083 1.022 0.945 0.939 0.896 0.866 0.854 0.848 0.848 0.828 0.800 0.771 0.687 0.659 0.659 0.638 0.606 0.595 0.571 0.559 0.547 0.547 0.520 0.506 0.492 0.492 0.431 0.294 0.270 0.161 0.094
Y -Y/ 0.943 0.750 0.747 0.643 0.443 0.421 0.413 0.373 0.349 0.346 0.338 0.307 0.292 0.286 0.243 0.214 0.208 0.146 0.069 0.064 0.020 (0.009 (0.022 (0.028 (0.028 (0.047 (0.075 (0.104 (0.188 (0.217 (0.217 (0.237 (0.269 (0.281 (0.304 (0.316 (0.329 (0.329 (0.355 (0.369 (0.383 (0.383 (0.444 (0.582 (0.605 (0.714 (0.781
538.60
∑Y =
11.46
Y y
12.46
σ
y
Y -Y/2! 0.839 0.422 0.417 0.266 0.087 0.075 0.070 0.052 0.043 0.042 0.039 0.029 0.025 0.023 0.014 0.010 0.009 0.003 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.007 (0.010 (0.010 (0.013 (0.020 (0.022 (0.028 (0.032 (0.036 (0.036 (0.045 (0.050 (0.056 (0.056 (0.088 (0.197 (0.222 (0.364 (0.477 0.696 41.15 =
0.88
=
0.397
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
538.60
=
11.46
x
σ =
12.46
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
31.39
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(5.72
1 * w α
y = u + -5$7
+
!1$!9
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
41.15 0.88
= =
0.397
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
0.2526
CE G
0.4534
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
0$88
*
K
+
0$!97
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$5!2 (0.042 0.827 1.305 1.834 2.187 2.510 2.818 2.909 2.931
L Y 0.859 1.204 1.393 1.603 1.744 1.872 1.994 2.030 2.039
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION PUCALA
ESTACIN PUCALA - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN PUCALA - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ALA T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 5.89 41.37 64.92 94.74 116.72 138.69 161.14 189.24 211.22
=
Y 3 P:&,+$ 7.22 15.99 24.74 40.13 55.41 74.44 98.65 107.20 109.38
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA TINA 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 136.16 116.30 93.20 47.30 44.20 40.14 34.89 34.50 34.47 30.40 26.35 25.47 24.00 22.50 22.21 21.73 21.41 21.12 19.80 18.50 17.40 17.25 14.85 14.77 14.56 13.56 12.39 11.32 10.06 9.40 9.10 8.99 8.35 8.14 7.49 7.28 6.85 6.64 6.42 5.00 4.07 3.85 3.00 2.60 2.57 2.10 1.40
∑ x = Xx x σ
= =
Y 3 L # 2.134 2.066 1.969 1.675 1.645 1.604 1.543 1.538 1.537 1.483 1.421 1.406 1.380 1.352 1.347 1.337 1.331 1.325 1.297 1.267 1.241 1.237 1.172 1.169 1.163 1.132 1.093 1.054 1.003 0.973 0.959 0.954 0.922 0.910 0.875 0.862 0.836 0.822 0.808 0.699 0.609 0.586 0.477 0.415 0.410 0.322 0.146
Y -Y/ 0.996 0.927 0.831 0.536 0.507 0.465 0.404 0.399 0.399 0.345 0.282 0.268 0.242 0.214 0.208 0.199 0.192 0.186 0.158 0.129 0.102 0.098 0.033 0.031 0.025 (0.006 (0.045 (0.085 (0.136 (0.165 (0.179 (0.185 (0.217 (0.228 (0.264 (0.276 (0.303 (0.316 (0.331 (0.439 (0.529 (0.553 (0.662 (0.723 (0.729 (0.816 (0.992
1064.06
∑Y =
22.64
Y y
27.40
σ
y
Y -Y/2! 0.987 0.797 0.574 0.154 0.130 0.101 0.066 0.064 0.064 0.041 0.023 0.019 0.014 0.010 0.009 0.008 0.007 0.006 0.004 0.002 0.001 0.001 0.000 0.000 0.000 0.000 0.000 (0.001 (0.002 (0.005 (0.006 (0.006 (0.010 (0.012 (0.018 (0.021 (0.028 (0.032 (0.036 (0.085 (0.148 (0.169 (0.290 (0.379 (0.387 (0.544 (0.977 (0.072 53.50 =
1.14
=
0.441
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx X x
1064.06
=
22.64
x
σ =
27.40
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
62.07
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(11.33
1 * w α
y = u + -11$!!
+
6 $0 7
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia: eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
53.50 1.14
= =
0.441
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(0.0189
CE G
0.3878
2.( ?e calc"la el el coe*iciente coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$1"
*
K
+
0 $" " 1
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia: eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -0$8192 0.135 0.856 1.162 1.440 1.595 1.719 1.820 1.841 1.863
L Y 1.198 1.516 1.651 1.774 1.843 1.897 1.942 1.951 1.961
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION TINA4ONES
ESTACIN TINA4ONES - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN TINA4ONES - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ONES T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 11.63 81.77 128.33 187.30 230.75 274.19 318.58 374.13 417.58
=
Y 3 P:&,+$ 15.78 32.83 44.81 59.45 69.59 78.94 87.48 89.37 91.39
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA RE 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 64.96 60.40 42.69 32.27 19.15 17.50 17.46 16.44 14.50 12.15 11.00 10.37 10.20 9.20 8.58 7.76 7.50 7.30 7.25 7.05 7.00 6.95 6.95 6.64 6.23 6.00 5.82 4.80 4.49 4.49 4.30 4.29 3.98 3.88 3.57 3.47 3.27 3.17 3.06 3.06 3.00 2.50 1.94 1.84 1.63 1.43 1.23
∑ x = Xx x σ
= =
Y 3 L # 1.813 1.781 1.630 1.509 1.282 1.243 1.242 1.216 1.161 1.085 1.041 1.016 1.009 0.964 0.933 0.890 0.875 0.863 0.860 0.848 0.845 0.842 0.842 0.822 0.795 0.778 0.765 0.681 0.653 0.653 0.633 0.632 0.600 0.589 0.553 0.541 0.514 0.501 0.486 0.486 0.477 0.398 0.288 0.264 0.213 0.155 0.088
Y -Y/ 0.997 0.965 0.814 0.693 0.466 0.427 0.426 0.400 0.345 0.269 0.225 0.200 0.192 0.148 0.117 0.074 0.059 0.047 0.044 0.032 0.029 0.026 0.026 0.006 (0.022 (0.038 (0.051 (0.135 (0.163 (0.163 (0.183 (0.184 (0.216 (0.227 (0.263 (0.275 (0.302 (0.316 (0.330 (0.330 (0.339 (0.418 (0.528 (0.552 (0.603 (0.661 (0.728
492.75
∑Y =
10.48
Y y
13.56
σ
y
Y -Y/2! 0.990 0.898 0.540 0.332 0.101 0.078 0.077 0.064 0.041 0.019 0.011 0.008 0.007 0.003 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.002 (0.004 (0.004 (0.006 (0.006 (0.010 (0.012 (0.018 (0.021 (0.027 (0.031 (0.036 (0.036 (0.039 (0.073 (0.147 (0.168 (0.219 (0.289 (0.385 1.638 38.36 =
0.82
=
0.395
N3
47.00
METODO UMBEL TIPO I
∑ x =
492.75
=
10.48
Xx
x
σ =
13.56
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
34.33
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(8.30
1 * w α
y = u + -8$!0
+
!"$!!
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
38.36 0.82
= =
0.395
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
0.6034
CE G
0.4840
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
0$8
*
K
+
0$!95
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$60!2 (0.099 0.800 1.328 1.939 2.359 2.755 3.132 3.351 3.654
L Y 0.777 1.132 1.341 1.582 1.748 1.904 2.053 2.140 2.259
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION REQUE
ESTACIN REQUE - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN REQUE - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
QUE T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 4.40 43.19 68.94 101.55 125.58 149.61 174.16 204.88 228.92
=
Y 3 P:&,+$ 5.98 13.56 21.91 38.19 55.96 80.22 113.03 137.94 181.70
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA PIM 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 197.34 192.62 191.20 150.60 149.18 94.89 88.52 80.73 76.48 76.01 74.59 69.40 67.04 59.96 56.20 56.18 55.24 47.92 40.13 39.66 35.88 33.52 32.57 32.10 32.10 30.69 28.80 26.91 22.19 20.77 20.77 19.83 18.41 17.94 17.00 16.52 16.05 16.05 15.11 14.64 14.16 14.16 8.97 8.50 7.55 6.61 5.67
∑ x = Xx x σ
= =
Y 3 L # 2.295 2.285 2.281 2.178 2.174 1.977 1.947 1.907 1.884 1.881 1.873 1.841 1.826 1.778 1.750 1.750 1.742 1.681 1.603 1.598 1.555 1.525 1.513 1.507 1.507 1.487 1.459 1.430 1.346 1.317 1.317 1.297 1.265 1.254 1.230 1.218 1.206 1.206 1.179 1.165 1.151 1.151 0.953 0.929 0.878 0.820 0.753
Y -Y/ 0.766 0.756 0.752 0.649 0.645 0.448 0.418 0.378 0.354 0.352 0.344 0.312 0.297 0.249 0.221 0.220 0.213 0.151 0.074 0.069 0.026 (0.004 (0.016 (0.023 (0.023 (0.042 (0.070 (0.099 (0.183 (0.212 (0.212 (0.232 (0.264 (0.275 (0.299 (0.311 (0.324 (0.324 (0.350 (0.364 (0.378 (0.378 (0.576 (0.600 (0.651 (0.709 (0.776
2397.34
∑Y =
51.01
Y y
50.26
σ
y
Y -Y/2! 0.450 0.431 0.426 0.273 0.268 0.090 0.073 0.054 0.045 0.044 0.041 0.030 0.026 0.015 0.011 0.011 0.010 0.003 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.006 (0.009 (0.009 (0.012 (0.018 (0.021 (0.027 (0.030 (0.034 (0.034 (0.043 (0.048 (0.054 (0.054 (0.191 (0.216 (0.276 (0.356 (0.467 0.392 71.87 =
1.53
=
0.400
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2397.34
=
51.01
x
σ =
50.26
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
125.59
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(17.73
1 * w α
y = u + -17$7!
+
15$59
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
71.87 1.53
= =
0.400
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
0.1388
CE G
0.2617
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$5!
*
K
+
0$"00
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$1!92 (0.023 0.834 1.295 1.798 2.127 2.428 2.706 2.907 2.943
L Y 1.520 1.863 2.047 2.249 2.380 2.501 2.612 2.692 2.707
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION PIMENTEL
ESTACIN PIMENTEL - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN PIMENTEL - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
NTEL T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 28.74 170.66 264.86 384.17 472.09 560.00 649.80 762.21 850.12
=
Y 3 P:&,+$ 33.11 72.93 111.53 177.28 240.06 316.80 409.29 492.56 509.18
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA PUC 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 150.50 150.00 147.00 124.40 101.50 96.20 95.40 70.30 65.30 62.70 60.90 60.30 60.20 60.00 59.00 58.70 56.30 54.40 51.50 47.50 42.57 40.30 40.10 40.00 35.20 31.50 30.55 30.30 30.20 30.00 27.50 24.30 23.20 20.80 20.54 20.32 20.30 14.30 12.90 11.10 9.70 8.80 8.50 8.20 6.55 6.10 4.20
∑ x = Xx x σ
= =
Y 3 L # 2.178 2.176 2.167 2.095 2.006 1.983 1.980 1.847 1.815 1.797 1.785 1.780 1.780 1.778 1.771 1.769 1.751 1.736 1.712 1.677 1.629 1.605 1.603 1.602 1.547 1.498 1.485 1.481 1.480 1.477 1.439 1.386 1.365 1.318 1.313 1.308 1.307 1.155 1.111 1.045 0.987 0.944 0.929 0.914 0.816 0.785 0.623
Y -Y/ 0.651 0.650 0.641 0.569 0.480 0.457 0.453 0.321 0.289 0.271 0.258 0.254 0.253 0.252 0.245 0.242 0.224 0.209 0.186 0.150 0.103 0.079 0.077 0.076 0.020 (0.028 (0.041 (0.045 (0.046 (0.049 (0.087 (0.141 (0.161 (0.208 (0.214 (0.218 (0.219 (0.371 (0.416 (0.481 (0.540 (0.582 (0.597 (0.612 (0.710 (0.741 (0.903
2230.13
∑Y =
47.45
Y y
38.38
y σ
Y -Y/2! 0.276 0.274 0.263 0.184 0.111 0.095 0.093 0.033 0.024 0.020 0.017 0.016 0.016 0.016 0.015 0.014 0.011 0.009 0.006 0.003 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.003 (0.004 (0.009 (0.010 (0.010 (0.010 (0.051 (0.072 (0.111 (0.157 (0.197 (0.213 (0.230 (0.358 (0.407 (0.736 (1.078 71.74 = =
1.53 0.392
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2230.13
=
47.45
x
σ =
38.38
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
97.96
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(6.16
1 * w α
y = u + -6$16
+
97$96
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
71.74 1.53
= =
0.392
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(0.4071
CE G
0.2567
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$5!
*
K
+
0$!9
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -0$"072 0.066 0.855 1.231 1.606 1.834 2.029 2.201 2.452 2.513
L Y 1.552 1.861 2.009 2.155 2.245 2.321 2.389 2.487 2.511
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION PUCHACA
ESTACIN PUCHACA - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN PUCHACA - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ACA T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 30.08 140.77 214.24 307.30 375.87 444.45 514.49 602.16 670.73
=
Y 3 P:&,+$ 35.66 72.65 101.99 143.05 175.72 209.51 244.68 306.85 324.21
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA TOC 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 118.00 116.20 108.60 106.00 100.40 94.00 85.00 83.60 76.00 74.40 70.00 64.50 64.00 61.00 60.00 60.00 55.00 55.00 53.90 52.20 48.00 47.00 45.80 45.00 45.00 44.00 40.00 40.00 36.90 36.00 35.00 35.00 33.00 32.00 30.00 28.00 25.00 25.00 20.00 20.00 20.00 15.00 12.00 12.00 7.00 5.20 4.50
∑ x = Xx x σ
= =
Y 3 L # 2.072 2.065 2.036 2.025 2.002 1.973 1.929 1.922 1.881 1.872 1.845 1.810 1.806 1.785 1.778 1.778 1.740 1.740 1.732 1.718 1.681 1.672 1.661 1.653 1.653 1.643 1.602 1.602 1.567 1.556 1.544 1.544 1.519 1.505 1.477 1.447 1.398 1.398 1.301 1.301 1.301 1.176 1.079 1.079 0.845 0.716 0.653
Y -Y/ 0.474 0.468 0.438 0.428 0.404 0.376 0.332 0.325 0.283 0.274 0.248 0.212 0.209 0.188 0.181 0.181 0.143 0.143 0.134 0.120 0.084 0.075 0.063 0.056 0.056 0.046 0.005 0.005 (0.031 (0.041 (0.053 (0.053 (0.079 (0.092 (0.120 (0.150 (0.200 (0.200 (0.297 (0.297 (0.297 (0.421 (0.518 (0.518 (0.752 (0.882 (0.944
2344.20
∑Y =
49.88
Y y
30.03
y σ
Y -Y/2! 0.107 0.102 0.084 0.078 0.066 0.053 0.037 0.034 0.023 0.021 0.015 0.010 0.009 0.007 0.006 0.006 0.003 0.003 0.002 0.002 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.002 (0.003 (0.008 (0.008 (0.026 (0.026 (0.026 (0.075 (0.139 (0.139 (0.426 (0.685 (0.842 (1.739 75.08 = =
1.60 0.336
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2344.20
=
49.88
x
σ =
30.03
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
89.36
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
0.97
1 * w α
y = u + 0$97
+
89$!6
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
75.08 1.60
= =
0.336
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(1.0401
CE G
0.2104
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$60
*
K
+
0$!!6
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -1$0"02 0.164 0.852 1.128 1.366 1.496 1.588 1.664 1.801 1.895
L Y 1.653 1.884 1.977 2.057 2.100 2.131 2.157 2.203 2.234
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION TOCMOCHE
ESTACIN TOCMOCHE - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN TOCMOCHE - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
OCHE T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 34.03 135.01 202.03 286.93 349.48 412.03 475.93 555.91 618.46
=
Y 3 P:&,+$ 44.94 76.54 94.77 113.94 125.99 135.29 143.49 159.54 171.58
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA LL 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 95.07 93.27 92.07 85.28 82.84 81.88 78.05 75.74 74.20 74.20 72.77 67.80 66.42 65.94 59.46 58.15 57.43 55.89 55.51 54.93 54.67 54.64 51.46 51.19 51.07 48.95 47.70 46.50 46.25 45.77 45.58 45.10 44.33 44.13 43.36 40.04 39.51 38.20 37.77 34.53 34.31 27.95 27.56 24.70 24.34 19.50 17.98
∑ x = Xx x σ
= =
Y 3 L # 1.978 1.970 1.964 1.931 1.918 1.913 1.892 1.879 1.870 1.870 1.862 1.831 1.822 1.819 1.774 1.765 1.759 1.747 1.744 1.740 1.738 1.737 1.711 1.709 1.708 1.690 1.679 1.667 1.665 1.661 1.659 1.654 1.647 1.645 1.637 1.603 1.597 1.582 1.577 1.538 1.535 1.446 1.440 1.393 1.386 1.290 1.255
Y -Y/ 0.278 0.270 0.264 0.231 0.218 0.213 0.192 0.179 0.170 0.170 0.162 0.131 0.122 0.119 0.074 0.065 0.059 0.047 0.044 0.040 0.038 0.037 0.011 0.009 0.008 (0.010 (0.021 (0.033 (0.035 (0.039 (0.041 (0.046 (0.053 (0.055 (0.063 (0.097 (0.103 (0.118 (0.123 (0.162 (0.165 (0.254 (0.260 (0.307 (0.314 (0.410 (0.445
2534.01
∑Y =
53.92
Y y
19.81
y σ
Y -Y/2! 0.021 0.020 0.018 0.012 0.010 0.010 0.007 0.006 0.005 0.005 0.004 0.002 0.002 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.001 (0.002 (0.002 (0.004 (0.004 (0.016 (0.018 (0.029 (0.031 (0.069 (0.088 (0.140 79.90 = =
1.70 0.174
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2534.01
=
53.92
x
σ =
19.81
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
113.58
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(8.25
1 * w α
y = u + -8$5
+
11!$58
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
79.90 1.70
= =
0.174
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(0.599
CE G
0.1026
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$70
*
K
+
0$17"
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -0$5992 0.099 0.857 1.200 1.528 1.720 1.880 2.016 2.424 2.675
L Y 1.717 1.849 1.909 1.967 2.000 2.028 2.052 2.123 2.167
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION LLAMA
ESTACIN LLAMA - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN LLAMA - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
MA T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 33.78 162.12 247.30 355.20 434.71 514.21 595.42 697.07 776.57
=
Y 3 P:&,+$ 52.15 70.71 81.16 92.58 100.01 106.64 112.63 132.68 146.76
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA HUA 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 88.50 79.30 78.60 77.80 77.00 76.80 69.10 68.30 67.30 65.10 60.70 59.60 58.80 58.00 57.60 57.00 56.70 55.40 55.00 53.40 53.00 50.80 49.80 49.60 49.50 48.50 48.00 47.50 47.30 46.80 46.00 45.90 45.80 45.60 45.00 42.70 41.00 39.20 35.60 33.40 29.00 28.80 28.60 28.30 20.60 20.30 15.00
∑ x = Xx x σ
= =
Y 3 L # 1.947 1.899 1.895 1.891 1.886 1.885 1.839 1.834 1.828 1.814 1.783 1.775 1.769 1.763 1.760 1.756 1.754 1.744 1.740 1.728 1.724 1.706 1.697 1.695 1.695 1.686 1.681 1.677 1.675 1.670 1.663 1.662 1.661 1.659 1.653 1.630 1.613 1.593 1.551 1.524 1.462 1.459 1.456 1.452 1.314 1.307 1.176
Y -Y/ 0.265 0.218 0.214 0.209 0.205 0.204 0.158 0.153 0.146 0.132 0.102 0.094 0.088 0.082 0.079 0.074 0.072 0.062 0.059 0.046 0.043 0.024 0.016 0.014 0.013 0.004 0.000 (0.005 (0.007 (0.011 (0.019 (0.020 (0.021 (0.023 (0.028 (0.051 (0.069 (0.088 (0.130 (0.158 (0.219 (0.222 (0.225 (0.230 (0.368 (0.374 (0.506
2401.60
∑Y =
51.10
Y y
16.66
y σ
Y -Y/2! 0.019 0.010 0.010 0.009 0.009 0.008 0.004 0.004 0.003 0.002 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.002 (0.004 (0.011 (0.011 (0.011 (0.012 (0.050 (0.052 (0.129 (0.201 79.04 = =
1.68 0.164
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2401.60
=
51.10
x
σ =
16.66
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
101.82
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(4.63
1 * w α
y = u + -"$6!
+
101$8
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
79.04 1.68
= =
0.164
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(1.040
CE G
0.0973
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$68
*
K
+
0$16"
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -1$0"2 0.164 0.852 1.128 1.366 1.496 1.588 1.664 1.801 1.895
L Y 1.708 1.821 1.866 1.905 1.926 1.942 1.954 1.976 1.992
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION HUAMBOS
ESTACIN HUAMBOS - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN HUAMBOS - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
BOS T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 33.05 148.10 224.46 321.19 392.46 463.73 536.53 627.66 698.93
=
Y 3 P:&,+$ 51.10 66.23 73.49 80.39 84.42 87.40 89.94 94.70 98.12
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA SANT 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 70.30 69.80 67.24 60.90 58.60 58.30 56.80 56.30 56.10 54.40 53.39 49.80 48.60 45.80 45.80 43.57 40.60 40.30 40.20 39.63 37.52 37.30 35.77 33.23 33.14 32.30 31.30 30.95 29.90 29.80 29.80 29.54 29.20 28.90 28.75 27.97 27.80 26.90 26.80 26.56 24.80 24.10 23.80 20.50 18.90 17.36 17.10
∑ x = Xx x σ
= =
Y 3 L # 1.847 1.844 1.828 1.785 1.768 1.766 1.754 1.751 1.749 1.736 1.727 1.697 1.687 1.661 1.661 1.639 1.609 1.605 1.604 1.598 1.574 1.572 1.553 1.521 1.520 1.509 1.496 1.491 1.476 1.474 1.474 1.470 1.465 1.461 1.459 1.447 1.444 1.430 1.428 1.424 1.394 1.382 1.377 1.312 1.276 1.239 1.233
Y -Y/ 0.289 0.286 0.270 0.227 0.210 0.208 0.197 0.193 0.191 0.178 0.170 0.139 0.129 0.103 0.103 0.081 0.051 0.047 0.046 0.040 0.016 0.014 (0.004 (0.036 (0.037 (0.049 (0.062 (0.067 (0.082 (0.084 (0.084 (0.087 (0.092 (0.097 (0.099 (0.111 (0.114 (0.128 (0.130 (0.134 (0.163 (0.176 (0.181 (0.246 (0.281 (0.318 (0.325
1816.40
∑Y =
38.65
Y y
14.43
y σ
Y -Y/2! 0.024 0.023 0.020 0.012 0.009 0.009 0.008 0.007 0.007 0.006 0.005 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.002 (0.002 (0.002 (0.004 (0.005 (0.006 (0.015 (0.022 (0.032 (0.034 0.003 73.22 = =
1.56 0.162
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
1816.40
=
38.65
x
σ =
14.43
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
89.14
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(10.14
1 * w α
y = u + -10$1"
+
89$1"
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
73.22 1.56
= =
0.162
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
0.014
CE G
0.1039
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$56
*
K
+
0$16
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 0$01"2 (0.017 0.841 1.283 1.744 2.061 2.551 2.589 2.875 3.124
L Y 1.555 1.694 1.766 1.840 1.891 1.971 1.977 2.023 2.064
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION SANTA CRU
ESTACIN SANTA CRU - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN SANTA CRU - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
CRU T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 22.84 123.57 190.43 275.11 337.51 399.91 463.64 543.43 605.82
=
Y 3 P:&,+$ 35.90 49.43 58.28 69.21 77.89 93.50 94.83 105.50 115.76
1000
1000
ANALISIS ANALISIS DE MA#IMAS PRECIPITACIONES PRECIPITACIONES DE LA ESTACION ESTACION PLUVIOMETRICA CHANCA 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 84.66 73.18 68.21 67.90 67.50 66.78 66.30 65.50 64.90 64.50 64.20 63.69 61.15 60.20 59.82 57.80 55.80 54.86 52.21 51.10 50.00 49.89 47.24 46.80 45.70 45.20 45.03 42.50 42.40 42.20 41.90 41.83 39.51 39.51 39.40 39.29 38.96 37.20 36.80 36.70 36.30 36.20 35.21 33.44 25.30 21.85 21.52
∑ x = Xx x σ
= =
Y 3 L # 1.928 1.864 1.834 1.832 1.829 1.825 1.822 1.816 1.812 1.810 1.808 1.804 1.786 1.780 1.777 1.762 1.747 1.739 1.718 1.708 1.699 1.698 1.674 1.670 1.660 1.655 1.654 1.628 1.627 1.625 1.622 1.622 1.597 1.597 1.596 1.594 1.591 1.570 1.566 1.565 1.560 1.559 1.547 1.524 1.403 1.340 1.333
Y -Y/ 0.252 0.188 0.158 0.156 0.153 0.149 0.145 0.140 0.136 0.134 0.131 0.128 0.110 0.104 0.101 0.086 0.071 0.063 0.042 0.032 0.023 0.022 (0.002 (0.006 (0.016 (0.021 (0.023 (0.048 (0.049 (0.051 (0.054 (0.055 (0.079 (0.079 (0.081 (0.082 (0.085 (0.106 (0.110 (0.111 (0.116 (0.117 (0.129 (0.152 (0.273 (0.337 (0.343
2328.16
∑Y =
49.54
Y y
14.22
y σ
Y -Y/2! 0.016 0.007 0.004 0.004 0.004 0.003 0.003 0.003 0.003 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.002 (0.002 (0.002 (0.003 (0.020 (0.038 (0.040 (0.058 78.77 = =
1.68 0.133
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx X x
2328.16
=
49.54
x
σ =
14.22
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
106.96
=
1 Xx − Y = Xx N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(9.01
1 * w α
y = u + -9$01
+
1 0 6 $9 6
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
78.77 1.68
= =
0.133
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(0.5587
CE G
0.0793
2.( ?e calc"la el coe*iciente coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$68
*
K
+
0 $1 ! !
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -0$5592 0.092 0.857 1.207 1.544 1.743 1.864 2.054 2.365 2.585
L Y 1.688 1.790 1.837 1.881 1.908 1.924 1.949 1.990 2.020
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION CHANCAY BAÑOS
ESTACIN CHANCAY BAÑOS - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN CHANCAY BAÑOS - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
Y BAÑOS T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 30.57 151.44 231.66 333.28 408.15 483.02 559.50 655.24 730.11
=
Y 3 P:&,+$ 48.79 61.66 68.63 76.09 80.87 83.92 88.95 97.84 104.65
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA CHU 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 76.70 66.50 66.30 65.50 61.80 60.90 60.80 60.50 58.80 57.70 56.10 55.40 54.20 50.20 50.20 49.80 49.70 47.30 47.30 46.30 45.70 45.60 45.30 45.20 44.90 44.80 44.30 42.90 42.80 40.80 40.80 37.90 37.80 36.80 35.80 35.80 35.70 35.60 35.40 35.30 34.40 33.70 32.80 31.90 30.30 19.80 19.50
∑ x = Xx x σ
= =
Y 3 L # 1.885 1.823 1.822 1.816 1.791 1.785 1.784 1.782 1.769 1.761 1.749 1.744 1.734 1.701 1.701 1.697 1.696 1.675 1.675 1.666 1.660 1.659 1.656 1.655 1.652 1.651 1.646 1.632 1.631 1.611 1.611 1.579 1.577 1.566 1.554 1.554 1.553 1.551 1.549 1.548 1.537 1.528 1.516 1.504 1.481 1.297 1.290
Y -Y/ 0.240 0.178 0.177 0.172 0.146 0.140 0.139 0.137 0.125 0.116 0.104 0.099 0.089 0.056 0.056 0.053 0.052 0.030 0.030 0.021 0.015 0.014 0.011 0.010 0.008 0.007 0.002 (0.012 (0.013 (0.034 (0.034 (0.066 (0.067 (0.079 (0.091 (0.091 (0.092 (0.093 (0.096 (0.097 (0.108 (0.117 (0.129 (0.141 (0.163 (0.348 (0.355
2153.60
∑Y =
45.82
Y y
12.27
y σ
Y -Y/2! 0.014 0.006 0.006 0.005 0.003 0.003 0.003 0.003 0.002 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.001 (0.002 (0.002 (0.003 (0.004 (0.042 (0.045 (0.057 77.30 = =
1.64 0.124
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2153.60
=
45.82
x
σ =
12.27
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
98.94
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(8.33
1 * w α
y = u + -8$!!
+
98$9"
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
77.30 1.64
= =
0.124
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(0.6764
CE G
0.0754
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$6"
*
K
+
0$1"
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -0$6762 0.112 0.857 1.187 1.467 1.677 1.824 1.948 2.241 2.455
L Y 1.659 1.751 1.792 1.827 1.853 1.871 1.886 1.923 1.949
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION CHUUR
ESTACIN CHUUR - METODO UMBEL TIPO I 1000
100
PRECIPITACIN PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN CHUUR - METODO LOARITMO PEARSON III 1000
100 100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
UR T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 28.28 140.08 214.29 308.28 377.54 446.80 517.54 606.09 675.35
=
Y 3 P:&,+$ 45.56 56.36 61.93 67.08 71.22 74.28 76.95 83.67 88.94
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA QUIL 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 48.00 46.90 43.70 37.60 35.62 35.51 35.08 34.50 32.62 32.57 32.41 31.50 30.91 30.90 30.05 29.03 26.89 26.89 26.67 26.62 25.34 25.34 24.80 24.48 24.26 24.05 24.00 23.73 22.98 22.93 21.85 20.25 19.71 19.07 18.96 18.90 18.90 18.43 17.60 17.09 16.50 14.40 14.10 13.80 13.20 11.90 11.80
∑ x = Xx x σ
= =
Y 3 L # 1.681 1.671 1.640 1.575 1.552 1.550 1.545 1.538 1.513 1.513 1.511 1.498 1.490 1.490 1.478 1.463 1.430 1.430 1.426 1.425 1.404 1.404 1.394 1.389 1.385 1.381 1.380 1.375 1.361 1.360 1.340 1.306 1.295 1.280 1.278 1.276 1.276 1.265 1.246 1.233 1.217 1.158 1.149 1.140 1.121 1.076 1.072
Y -Y/ 0.299 0.289 0.258 0.193 0.169 0.168 0.163 0.155 0.131 0.130 0.128 0.116 0.107 0.107 0.095 0.080 0.047 0.047 0.044 0.043 0.021 0.021 0.012 0.006 0.002 (0.001 (0.002 (0.007 (0.021 (0.022 (0.043 (0.076 (0.088 (0.102 (0.105 (0.106 (0.106 (0.117 (0.137 (0.150 (0.165 (0.224 (0.233 (0.243 (0.262 (0.307 (0.311
1202.32
∑Y =
25.58
Y y
8.78
y σ
Y -Y/2! 0.027 0.024 0.017 0.007 0.005 0.005 0.004 0.004 0.002 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.001 (0.001 (0.001 (0.001 (0.002 (0.003 (0.003 (0.005 (0.011 (0.013 (0.014 (0.018 (0.029 (0.030 (0.028 64.98 = =
1.38 0.152
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
1202.32
=
25.58
x
σ =
8.78
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
57.83
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(6.07
1 * w α
y = u + -6$07
+
57$8!
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
64.98 1.38
= =
0.152
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(0.1828
CE G
0.1098
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$!8
*
K
+
0$15
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -0$18!2 0.030 0.849 1.260 1.686 1.954 2.191 2.404 2.705 3.055
L Y 1.387 1.512 1.574 1.639 1.679 1.715 1.748 1.793 1.846
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION QUILCATE
ESTACIN QUILCATE - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN QUILCATE - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
CATE T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 15.33 80.67 124.04 178.98 219.46 259.93 301.28 353.03 393.51
=
Y 3 P:&,+$ 24.39 32.47 37.49 43.51 47.79 51.92 55.93 62.14 70.23
1000
1000
ANALISIS DE MA#IMAS PRECIPITACIONES DE LA ESTACION PLUVIOMETRICA COCHA 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00
# 2 106.10 95.07 94.23 93.27 92.31 92.07 83.20 82.84 81.88 78.05 72.77 71.45 69.53 69.06 68.34 67.98 66.42 65.94 64.02 63.54 60.90 60.60 59.46 59.34 58.15 57.55 57.50 56.95 56.71 56.11 55.80 55.15 54.91 54.67 53.95 51.19 49.20 49.15 47.00 42.68 40.04 34.77 34.53 34.29 24.70 24.34 17.98
∑ x = Xx x σ
= =
Y 3 L # 2.026 1.978 1.974 1.970 1.965 1.964 1.920 1.918 1.913 1.892 1.862 1.854 1.842 1.839 1.835 1.832 1.822 1.819 1.806 1.803 1.785 1.782 1.774 1.773 1.765 1.760 1.760 1.755 1.754 1.749 1.747 1.742 1.740 1.738 1.732 1.709 1.692 1.692 1.672 1.630 1.603 1.541 1.538 1.535 1.393 1.386 1.255
Y -Y/ 0.263 0.216 0.212 0.207 0.203 0.202 0.158 0.156 0.151 0.130 0.099 0.092 0.080 0.077 0.072 0.070 0.060 0.057 0.044 0.041 0.022 0.020 0.012 0.011 0.002 (0.002 (0.003 (0.007 (0.009 (0.013 (0.016 (0.021 (0.023 (0.025 (0.030 (0.053 (0.071 (0.071 (0.090 (0.132 (0.160 (0.221 (0.224 (0.227 (0.370 (0.376 (0.508
2885.68
∑Y =
61.40
Y y
19.66
y σ
Y -Y/2! 0.018 0.010 0.009 0.009 0.008 0.008 0.004 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 (0.001 (0.002 (0.004 (0.011 (0.011 (0.012 (0.051 (0.053 (0.131 (0.196 82.84 = =
1.76 0.160
N3
47.00
METODO UMBEL TIPO I
∑ x = Xx
2885.68
=
61.40
x
σ =
19.66
1.( e la =abla ND 01# determinamos las Eariable red"cida n la desEiacin est)ndar es'erada en *"ncin del nFemro de re&istros : +ntonces : n G 0.5473 1.1557 σ= 2.( L"e&o se calc"la el 'ar)metro de dis'ersin:
1 =
α
1Iα 3.( ?e calc"la la moda :
u
σ x σ y
122.74
=
1 = Xx − Y N α
% 3 4.( Por lo tanto al ec"acin de 'rediccin es:
L%&) / 3
(5.78
1 * w α
y = u + -5$78
+
1$7"
=>
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
F /2 0.5000 0.8000 0.9000 0.9600 0.9800 0.9900 0.9950 0.9980 0.9990
> 0.370 1.500 2.250 3.200 3.900 4.600 5.315 6.210 6.910
METODO DE LO PEARSON III
∑Y = Y y
y
σ
82.84 1.76
= =
0.160
1.( ?e calc"la la inclinacin o coe*iciente de ses&o ;Cs<:
CSy
( Y − Yy ) ∑ = 3 ( N − 1) x ( N − 2) xσ y
L"e&o :
3
N x
CS/ 3
(1.0833
CE G
0.0909
2.( ?e calc"la el coe*iciente de Eariacin : CE G J I Por lo tanto : 3.( L"e&o la ec"acin de 'rediccin ser) :
L o g Y +ntonces :
L Y 3
=
Yy
+ σ y
1$76
*
K
+
0$160
5.( Preci'itaciones m)Himas 'robables# con 'eríodos de retorno 'robabilidad de eHcedencia:
T: 2 5 10 25 50 100 200 500 1000
1?T: 50.00 20.00 10.00 4.00 2.00 1.00 0.50 0.20 0.10
P @2 50.00 80.00 90.00 96.00 98.00 99.00 99.50 99.80 99.90
C 3 -1$08!2 0.179 0.849 1.110 1.332 1.447 1.532 1.598 1.775 1.865
L Y 1.791 1.898 1.940 1.976 1.994 2.008 2.018 2.047 2.061
RAFICAS DEL ANALISIS DE LAS FRECUENCIAS DE LAS PRECIPITACIONES MA#IMAS DE LA ESTACION COCHABAMBA
ESTACIN COCHABAMBA - METODO UMBEL TIPO I 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
ESTACIN COCHABAMBA - METODO LOARITMO PEARSON III 1000
100
PRECIPITACIN &' 2 10
1 1
10
100
TIEMPO DE RETORNO T: &' .;<2
BAMBA T: &' .;<2 48.000 24.000 16.000 12.000 9.600 8.000 6.857 6.000 5.333 4.800 4.364 4.000 3.692 3.429 3.200 3.000 2.824 2.667 2.526 2.400 2.286 2.182 2.087 2.000 1.920 1.846 1.778 1.714 1.655 1.600 1.548 1.500 1.455 1.412 1.371 1.333 1.297 1.263 1.231 1.200 1.171 1.143 1.116 1.091 1.067 1.043 1.021
Y 3 P:&,+$ 39.64 178.33 270.38 386.98 472.89 558.81 646.56 756.41 842.32
=
Y 3 P:&,+$ 61.82 79.15 87.15 94.59 98.69 101.83 104.34 111.38 115.14
1000
1000
TABLA N° 01) MEDIAS ESPERADAS Y DESVIACIONES ESTANDAR DE E#TREMOS REDUCIDO
N 0 1 ! " 5 6 7 8 9 !0 !1 ! !! !" !5 !6 !7 !8 !9 "0 "1 " "! "" "5 "6 "7 "8 "9 F%&'(& )
Y' 0.5236 0.5252 0.5268 0.5282 0.5296 0.5309 0.5309 0.5320 0.5332 0.5353 0.5362 0.5371 0.5380 0.5388 0.5396 0.5403 0.5410 0.5418 0.5424 0.5430 0.5436 0.5442 0.5448 0.5453 0.5458 0.5463 0.5468 0.5473 0.5477 0.5481
S' 1.0628 1.0695 1.0755 1.0812 1.0865 1.0915 1.0961 1.1004 1.1047 1.1086 1.1124 1.1159 1.1193 1.2260 1.2550 1.1285 1.1313 1.1339 1.1363 1.1388 1.1413 1.1436 1.1458 1.1480 1.1499 1.1519 1.1538 1.1557 1.1574 1.1590
K/N/L?? + ,-+C+NC/? + ,+N+N? +N $-LA/K niEersidad Nacional /&raria KLa olinaK
N 50 51 5 5! 5" 55 56 57 58 59 60 6 6" 66 68 70 7 7" 76 78 80 8 8" 86 88 90 9 9" 96 98
Y' 0.5485 0.5489 0.5493 0.5497 0.5501 0.5504 0.5508 0.5510 0.5552 0.5552 0.5521 0.5527 0.5333 0.5538 0.5543 0.5548 0.5552 0.5557 0.5561 0.5565 0.5569 0.5572 0.5576 0.5580 0.5583 0.5586 0.5589 0.5592 0.5595 0.5598
S
S' 1.1607 1.1623 1.1638 1.1653 1.1667 1.1681 1.1696 1.1708 1.1721 1.1734 1.1747 1.1770 1.1793 1.1814 1.1834 1.1854 1.1873 1.1890 1.1906 1.1923 1.1938 1.1953 1.1967 1.1980 1.1994 1.2007 1.2020 1.2032 1.2044 1.2055
0.500
´----------->
1.98
0.200
´----------->
X
0.100
´----------->
1.880
RESULTADO : 1.905
N° ORDEN 1 ! " 5 6 7 8 9 10 11 1 1! 1" 15 16
ESTACION PLUVIOMETRICA L//++ ,+--+/,+ C$CL/ PC/L/ =N/>N+? -++ P+N=+L PC$/C/ =CC$+ LL// $/? ?/N=/ C-B C$/NC/ /? C$ALC/=+ CC$///
LATITUD
LONITUD
642M ? 638M ? 646M ? 645M ? 640M ? 653M ? 650M ? 621M ? 625M ? 630M ? 627M ? 637M ? 634M ? 640M ? 649M ? 628M ?
7955M 7947M 7950M 7936M 7929M 7951M 79 56M 7928M 7922M 79 07M 7858M 7857M 7852M 7840M 7844M 7853M