13.- Vol III - Ane 01 - EstHid - Anexo 1.2.1 (F).pdf

ANEXO 3.2.1

DATA HISTORICA DE PRECIPITACION MEDIA MENSUAL

Cuadro N 3.1 Estacin Vilacota Precipitacin Media Mensual (mm)

Periodo de Registro 1998 2011

ALTITUD: 4440 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986198719881989199019911992199319941995199619971998 206.3 42.8 11.7 0.9 0.9 7 0 0 0 1.7 17.2 36.3 324.81999 75.6 236.3 170.4 32.2 1.2 0 0 0 12.8 18.2 0 33.8 580.52000 164 105.4 99.1 28.5 6.3 2.7 2.2 2.2 2.2 15.7 5.1 62.7 496.12001 172 165.1 142.9 42.6 2.2 2.6 0 0 3.6 10.3 9.7 1.3 552.32002 63 148.8 123.3 60.8 2.3 0 31.3 0 0 24.3 31.6 81.8 567.22003 47.6 157.8 103.7 9.7 12.6 0 3.6 4.4 0 3.2 7.1 59.9 409.62004 143.3 97.2 63.1 4.2 0 0.5 21.1 15.7 1.8 0 0 29.3 376.22005 83.6 154.1 58 6.1 0 0 0 0 8.4 0.9 22.9 82.4 416.42006 115 126.1 176.6 25.2 0 0 0 0 0.7 28.3 20.4 57.7 5502007 92.5 97.8 84.3 6.6 3.2 0.5 0 0 3.9 3.8 31.2 74.3 398.12008 142.5 63.4 64.5 0 0 1 0 4.2 0 8.1 0 110.9 394.62009 84.6 164.3 65 46.3 0 0 3.9 0 2.7 0 43.9 34.7 445.42010 113.2 99.7 53 31.7 5.9 0 0 0 0.9 4.6 2.4 90 401.42011 130.4 141.3 35.5 46.4 13.3 0 1 0 0.8 0 19.2 91.3 479.2

PROM 116.7 128.6 89.4 24.4 3.4 1.0 4.5 1.9 2.7 8.5 15.1 60.5 456.6

ESTACION : VILACOTAPARAMETRO : PRECIPITACION

Cuadro N 3.2 Estacin Candarave Precipitacin Media Mensual (mm)


ALTITUD: 3435 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 65.6 58.4 40.6 1.7 0.0 0.2 0.0 0.0 1.4 2.7 1.0 37.1 208.71987 102.8 5.4 4.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.81988 54.9 0.0 18.1 1.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74.11989 8.7 82.0 2.4 2.8 0.0 0.1 0.0 0.0 0.0 2.9 1.5 12.0 112.41990 15.1 7.6 15.2 0.0 0.0 20.3 0.0 0.0 0.0 0.0 13.4 12.1 83.71991 5.6 1.5 5.7 1.1 0.0 0.0 0.0 0.0 0.0 0.0 1.7 1.6 17.21992 8.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 72.3 81.51993 108.8 9.2 18.6 0.0 0.0 0.0 0.0 0.3 0.0 0.0 0.0 10.0 146.91994 75.0 134.1 2.1 17.6 0.0 0.0 0.0 0.0 0.0 0.0 1.3 17.5 247.61995 43.5 0.0 73.9 2.8 0.1 0.0 0.0 0.0 0.0 0.0 0.6 12.2 133.11996 43.6 25.5 1.3 0.0 0.0 0.0 0.0 0.2 0.0 0.0 1.7 3.4 75.71997 60.7 70.3 39.6 0.0 0.2 0.0 0.0 9.5 23.6 0.0 0.0 11.9 215.81998 92.1 31.9 1.6 2.0 0.0 4.1 0.0 0.0 0.0 0.0 6.6 8.3 146.61999 22.1 146.5 121.6 4.1 0.0 0.0 0.0 0.0 0.0 8.2 0.0 17.2 319.72000 117.7 63.2 101.8 0.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.9 292.92001 55.6 225.1 61.2 7.1 0.0 0.0 0.0 3.0 0.0 0.0 0.0 8.8 360.82002 21.6 82.5 33.7 2.8 0.0 6.3 26.3 0.0 0.0 2.5 3.5 13.3 192.52003 19.4 13.3 56.4 0.0 1.6 0.0 0.0 0.9 0.0 0.0 0.0 3.2 94.82004 63.8 51.5 1.3 0.0 0.0 0.0 12.4 0.5 0.0 0.0 0.0 1.0 130.52005 52.8 1.7 14.5 2.4 0.0 0.0 0.0 0.0 10.9 0.0 1.1 20.1 103.52006 58.7 72.2 40.4 0.7 0.0 0.0 0.0 0.0 0.0 0.1 0.0 5.9 178.02007 58.7 72.2 40.4 0.7 0.0 0.0 0.0 0.0 0.0 0.1 0.0 5.9 178.02008 58.7 72.2 40.4 0.7 0.0 0.0 0 0.0 0.0 0.1 0.0 5.9 178.02009 8.9 164.1 39.2 3.1 0 0 0.5 0 0 0 4.1 1.5 221.42010 4.8 34.6 1.7 0 3.1 0 0 0 0 1 0 9.6 54.82011 89.1 146.1 4.9 9.3 0 0 0 0 0 0 2.2 94.5 346.1

PROM 50.6 60.4 30.0 2.3 0.2 1.2 1.5 0.6 1.4 0.7 1.5 15.2 165.7

ESTACIONPARAMETRO

: CANDARAVE: PRECIPITACION

Cuadro N 3.3 Estacin Pampa Umalzo Precipitacin Media Mensual (mm)

Periodo de Registro 1986 1989; 1992 2011

ALTITUD: 4609 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 18.8 20.9 42.8 6.9 0 0 2.9 0.5 0 0 0 79.5 172.31987 152.1 25.6 12.1 0 0 0 2.5 0 0 0.3 0 10.5 203.11988 123.9 31.5 83.7 34.6 0 0 0 0 0 0 0 47.2 320.91989 80.2 229.4 98.7 0 0 0 0 0 0 0 0 0 408.3199019911992 101.0 95.4 78.9 0 0 0 0 0 0 0 0 30.8 306.11993 107.1 7.1 2.3 0 0 4.1 0 13.1 0 0 0 25.5 159.21994 152.9 37.5 39.8 1.5 0 0 0 0 0 3.4 9.2 38.1 282.41995 39.8 28 44.4 0 1.5 0.2 0 0 0.6 0 4.3 31.2 1501996 65.2 67.2 56.7 19.9 0.4 0 0 4.1 1.6 0 3.6 31.2 249.91997 103.9 191.2 73.8 10.6 2.5 0 0 32.3 30.3 0 17.1 47.7 509.41998 161.6 34 22 12.2 0 4.1 0 0 0 0 13.6 44.5 2921999 57.2 222.3 115.3 58.9 0 0 0 0 10.6 11.8 0 30.9 5072000 129.2 118.3 97.7 21.5 0 0.3 0.6 0 0 19.3 4.9 58.2 4502001 143.4 204.4 130.2 58.1 2.8 1.9 0 6.5 0 9.4 22.3 41 6202002 143.2 153.9 183.3 77.2 7 4.5 19.5 19.5 0 0 54.4 53.2 715.72003 70.3 70.9 115.4 15.5 15.6 0 0 10.4 4.3 0.8 4.9 67.5 375.62004 146.6 135.6 100 17.1 0 0 16.2 31 14.3 1.4 0.1 32.5 494.82005 74.1 137.7 97.7 11.9 0 0 0 0 52.2 4.1 8.3 97.1 483.12006 127.8 98.2 109 14.8 0 5.5 0 0 1 18.7 63.6 69.3 507.92007 132.8 101 145.6 19.4 13.8 1.2 0 5.4 5.2 0 0 0 424.42008 47.4 41.5 82.8 5 0 0 0 6.6 0 0 0 59.2 242.52009 12.8 34.4 63.6 23.6 0 0 16 0 0 12.1 40.5 13.9 216.92010 41.5 65.7 54 15.3 10.5 0 0 0 3.4 0 0 104 294.42011 192.3 137.3 44.3 33.1 7.5 0 1 0 1.6 0 25.4 120.8 563.3

PROM 101.0 95.4 78.9 19.0 2.6 0.9 2.4 5.4 5.2 3.4 11.3 47.2 372.9

ESTACION : PAMPA UMALZOPARAMETRO : PRECIPITACION

Cuadro N 3.4 Estacin Susapaya Precipitacin Media Mensual (mm)


ALTITUD: 3420 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 223 92.9 25.5 0 0 0 0 0 0 0 12.1 95.4 448.91987 100.4 9.7 0 0 0 0 5.3 0 0 21.8 0 0 137.21988 100.4 0.2 46.6 1.1 0 0 0 0 0 0 0 7.9 156.21989 19.4 216.4 12.2 0 0 0 0 0 0 0 0 0 2481990199119921993199419951996 28.2 22.6 17.6 0 0 0 0 0 0 0 0 10.4 78.81997 167.4 130.2 82.8 0 0 0 0 14.9 42.4 0 0 7.8 445.51998 146.2 39 0 0 0 8.4 0 0 0 0 7.5 16.5 217.61999 36.4 393.7 134.4 1.3 0 0 0 0 2.1 6.2 0 18.9 5932000 184 76.4 9.3 0 0 0 0 0 0 0 0 13 282.72001 37.2 342.6 129.2 0 0 0 0 3.7 0 0 0 12 524.72002 27.4 95.6 46 0 0 5.2 44.2 0 0 8.7 2.5 5.7 235.32003 26.2 36.6 49.7 0 2.6 0 0 1.1 0 0 0 3.9 120.12004 56 65.1 0 0 0 0.5 2.3 0 0 2.1 1.6 0.6 128.22005 42.8 69.7 7 0 0 0 0 0 7.1 0 2.1 22.9 151.62006 55 70.2 52.9 0 0 0 0 0 0 3.5 0 16.3 197.92007 41.4 54 33.2 0 0 0 0 0 0 0 2.6 11.1 142.32008 131.5 35.9 9.1 0 0 0 0 1.6 0 0 0 8.5 186.62009 8.1 99.2 8.4 0 0 0 0.2 0 0 0 1.5 0 117.42010 8 27 0 4.6 0 0 0 0 0 0 0 16.3 55.852011 83.6 134.5 0 10.1 7 0 0 0 0 0 2 57.9 295.1

PROM 76.1 100.6 33.2 0.9 0.5 0.7 2.6 1.1 2.6 2.1 1.6 16.3 238.1

ESTACION : SUSAPAYAPARAMETRO : PRECIPITACION

Cuadro N 3.5 Estacin Aricota Precipitacin Media Mensual (mm)


ALTITUD: 2825 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC TOTAL1986 5.4 7.3 1.1 0.2 0.0 39.3 0.0 0.0 0.2 0.4 0.0 65.8 119.71987 1.4 0.0 0.0 0.0 0.0 0.1 0.0 0.0 0.0 0.0 0.0 0.0 1.51988 29.1 9.2 3.7 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.9 43.11989 5.9 4.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 10.81990 5.0 0.5 14.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47.7 67.41991 0.0 0.0 0.5 2.1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 2.81992 13.8 3.4 0.0 0.1 0.0 1.2 0.0 0.0 0.0 0.0 0.0 64.4 82.91993 23.2 0.1 8.7 0.0 0.0 0.0 0.0 0.3 0.0 0.0 0.0 8.5 40.81994 10.5 90.1 0.0 16.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.8 124.01995 27.1 0.0 77.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1 12.6 118.11996 0.0 1.4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26.6 28.01997 31.6 77.9 64.0 0.0 0.0 0.0 0.0 0.2 1.3 0.0 0.0 2.4 177.41998 10.3 27.8 1.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8 2.1 43.21999 2.4 64.5 56.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8 125.02000 91.8 58.8 29.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 184.42001 27.9 129.7 42.4 1.2 0.0 0.0 0.0 1.5 0.0 0.0 0.0 0.0 202.72002 13.4 37.5 21.8 0.2 0.0 6.6 16.4 0.0 0.0 1.7 0.0 3.4 101.02003 14.8 2.2 20.9 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37.92004 19.7 52.1 5.2 0.0 0.0 0.0 3.2 0.0 0.0 0.0 0.0 0.0 80.22005 94.4 59.3 0.0 0.0 0.0 0.0 0.0 0.0 8.2 0.0 0.0 19.4 181.32006 2.6 16.9 12.1 0.0 0.0 0.6 0.0 0.0 0.0 0.0 0.0 0.0 32.22007 26.1 30.7 23.5 0.6 0.0 1.3 0.5 0.1 0.5 0.1 0.1 11.2 94.72008 26.1 30.7 23.5 0.6 0.0 1.3 0.5 0.1 0.5 0.1 0.1 11.2 94.7200920102011

PROM 21.0 30.6 17.7 0.9 0.0 2.2 0.9 0.1 0.5 0.1 0.1 12.6 86.7

: ARICOTA: PRECIPITACION

ESTACIONPARAMETRO

Cuadro N 3.6 Estacin Suches Precipitacin Media Mensual (mm)


ALTITUD: 4500 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC TOTAL1986 134.0 138.4 56.2 20.1 1.5 0.4 0.0 3.7 0.0 0.4 6.7 97.2 458.61987 149.8 33.8 13.2 0.0 0.0 2.8 16.1 0.0 0.1 10.7 14.9 12.2 253.61988 94.1 9.2 56.1 17.1 0.5 0.0 0.1 0.0 0.1 3.3 3.3 36.9 220.71989 73.3 100.2 32.5 23.5 1.6 0.0 1.0 0.0 0.0 0.0 33.9 1.8 267.81990 61.5 12.0 47.6 15.2 3.3 59.2 0.0 0.0 0.2 3.8 52.2 82.1 337.11991 114.8 50.5 73.0 17.1 0.0 21.4 0.0 0.0 0.0 13.3 22.5 19.3 331.91992 39.9 15.1 0.3 0.3 0.0 2.1 0.0 1.6 0.1 10.0 19.6 84.6 173.61993 125.3 84.4 87.0 8.7 0.0 0.1 0.2 0.5 1.0 59.1 20.6 82.7 469.61994 134.2 163.4 39.3 40.6 5.7 0.0 0.0 0.0 0.0 0.0 10.2 48.9 442.31995 77.3 25.8 112.9 24.5 0.6 0.0 0.0 0.0 1.4 9.7 10.9 46.8 309.91996 80.6 128.0 66.7 25.4 4.3 0.0 0.0 0.0 0.7 0.1 54.4 81.1 441.31997 130.0 187.8 86.0 25.1 10.6 0.0 0.0 20.6 28.8 3.2 1.8 70.3 564.21998 176.2 63.2 26.2 19.5 0.0 0.2 0.0 0.3 0.0 0.7 23.9 57.7 367.91999 54.2 235.1 136.3 33.9 0.0 0.0 0.0 0.0 18.9 9.6 0.0 56.2 544.22000 124.2 130.9 69.7 14.9 4.9 0.3 0.2 0.0 0.0 13.5 6.5 45.8 410.92001 120.9 199.1 117.0 49.6 0.0 0.0 0.4 4.8 1.3 11.3 10.9 22.1 537.42002 71.8 136.1 123.8 54.8 2.3 5.2 13.2 0.0 0.0 8.1 39.4 41.4 496.12003 51.2 83.8 76.5 16.6 9.8 0.0 0.0 3.1 1.7 0.6 5.7 39.5 288.52004 97.8 100.7 55.5 12.0 0.0 0.3 21.5 6.8 2.7 0.0 0.0 0.0 297.32005 42.8 143.7 61.6 5.0 0.0 0.0 0.0 0.0 3.9 1.0 14.9 73.3 346.22006 141.9 113.2 49.7 26.6 0.3 0.0 0.1 0.1 1.0 1.1 1.9 9.1 345.02007 141.9 113.2 49.7 26.6 0.3 0.0 0.1 0.1 1.0 1.1 1.9 9.1 345.02008 141.9 113.2 49.7 26.6 0.3 0.0 0.1 0.1 1.0 1.1 1.9 9.1 345.0200920102011

PROM 102.1 101.9 65.0 22.0 2.0 4.2 2.4 1.7 2.9 7.3 16.0 42.3 373.7

ESTACION : SUCHESPARAMETRO : PRECIPITACION

ANEXO 3.2.2

HISTOGRAMAS DE PRECIPITACIN

Grfico N 3.1. Histograma Precipitacin Media Mensual Estacin Vilacota (1998 2011)

0.0

50.0

100.0

150.0

200.0

250.0

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

Prec

ipita

cin

Med

ia M

ensu

al (m

m)

Aos

Histograma Estacin Vilacota (1998-2011)

Grfico N 3.2. Histograma Precipitacin Media Mensual Estacin Candarave (1986 2011)

0.0

50.0

100.0

150.0

200.0

250.0

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

Prec

ipita

cin

Med

ia M

encu

al (m

m)

Aos

Histograma Estacin Candarave (1986-2011)

Grfico N 3.3. Histograma Precipitacin Media Mensual Estacin Pampa Umalzo (1986 2011)

0.0

50.0

100.0

150.0

200.0

250.0

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

Prec

ipita

cin

Med

ia M

ensu

al (m

m)

Aos

Histograma Estacin Pampa Umalzo (1986-2011)

Grfico N 3.4. Histograma Precipitacin Media Mensual Estacin Susapaya (1986 2011)

0.0

50.0

100.0

150.0

200.0

250.0

300.0

350.0

400.0

450.0

1986

1993

2000

2007

Prec

ipita

cin

Med

ia M

ensu

al (m

m)

Aos

Histograma Estacin Susapaya (1986-2011)

Grfico N 3.5. Histograma Precipitacin Media Mensual Estacin Aricota (1986 2011)

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

Prec

ipita

cin

Med

ia M

ensu

al (m

m)

Aos

Histograma Estacin Aricota (1986-2011)

Grfico N 3.6 Histograma Estacin Suches (1986 2011)

0.0

50.0

100.0

150.0

200.0

250.0

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

Prec

ipita

cin

Med

ia M

ensu

al (m

m)

Histograma Estacin Suches (1986 -2011)

Anexo 3.2.3

ANLISIS DE DOBLE MASA

Cuadro N 3.7

Estaciones Grupo I Anlisis de Doble Masa de Precipitacin Total Anual (mm) Periodo de Registro 1986 2011

AO

GRUPO I PROMEDIO

VILACOTA PAMPA UMALZO SUCHES

ANUAL ACUMULADA ANUAL ACUMULADA ANUAL ACUMULADA ANUAL ACUMULADA

1 1986 456.6 11870.5 172.3 9695.1 253.6 9614.7 294.2 10393.4

2 1987 456.6 11413.9 203.1 9522.8 220.7 9361.1 293.5 10099.3

3 1988 456.6 10957.4 320.9 9319.7 267.8 9140.4 348.4 9805.8

4 1989 456.6 10500.8 408.3 8998.7 337.1 8872.6 400.7 9457.4

5 1990 456.6 10044.3 372.9 8590.4 331.9 8535.5 387.1 9056.7

6 1991 456.6 9587.7 372.9 8217.5 173.6 8203.6 334.3 8669.6

7 1992 456.6 9131.1 306.1 7844.6 469.6 8030.0 410.8 8335.3

8 1993 456.6 8674.6 159.2 7538.5 442.3 7560.4 352.7 7924.5

9 1994 456.6 8218.0 282.4 7379.3 309.9 7118.1 349.6 7571.8

10 1995 456.6 7761.5 150.0 7096.9 441.3 6808.2 349.3 7222.2

11 1996 456.6 7304.9 249.9 6946.9 564.2 6366.9 423.6 6872.9

12 1997 456.6 6848.4 509.4 6697.0 367.9 5802.7 444.6 6449.3

13 1998 324.8 6391.8 292.0 6187.6 544.2 5434.8 387.0 6004.7

14 1999 580.5 6067.0 507.0 5895.6 410.9 4890.6 499.5 5617.7

15 2000 496.1 5486.5 450.0 5388.6 537.4 4479.7 494.5 5118.3

16 2001 552.3 4990.4 620.0 4938.6 496.1 3942.3 556.1 4623.8

17 2002 567.2 4438.1 715.7 4318.6 288.5 3446.2 523.8 4067.6

18 2003 409.6 3870.9 375.6 3602.9 297.3 3157.7 360.8 3543.8

19 2004 376.2 3461.3 494.8 3227.3 346.2 2860.4 405.7 3183.0

20 2005 416.4 3085.1 483.1 2732.5 345.0 2514.2 414.8 2777.3

21 2006 550.0 2668.7 507.9 2249.4 345.0 2169.2 467.6 2362.4

22 2007 398.1 2118.7 424.4 1741.5 345.0 1824.2 389.2 1894.8

23 2008 394.6 1720.6 242.5 1317.1 369.8 1479.2 335.6 1505.6

24 2009 445.4 1326.0 216.9 1074.6 369.8 1109.4 344.0 1170.0

25 2010 401.4 880.6 294.4 857.7 369.8 739.6 355.2 826.0

26 2011 479.2 479.2 563.3 563.3 369.8 369.8 470.8 470.8

MEDIA 456.6 372.9 369.8

Dato mensual histrico completado con media histrica

Cuadro N 3.8

Estaciones Grupo II Anlisis de Doble Masa de Precipitacin Total Anual (mm) Periodo de Registro 1986 2011

AO

GRUPO II PROMEDIO

CANDARAVE SUSAPAYA ARICOTA

ANUAL ACUMULADA ANUAL ACUMULADA ANUAL ACUMULADA ANUAL ACUMULADA

1 1986 208.7 4307.1 448.9 6191.7 119.7 2253.9 259.1 4250.9

2 1987 112.8 4098.4 137.2 5742.8 1.5 2134.2 83.8 3991.8

3 1988 74.1 3985.6 156.2 5605.6 43.1 2132.7 91.1 3908.0

4 1989 112.4 3911.5 248.0 5449.4 10.8 2089.6 123.7 3816.8

5 1990 83.7 3799.1 238.1 5201.4 67.4 2078.8 129.7 3693.1

6 1991 17.2 3715.4 238.1 4963.3 2.8 2011.4 86.0 3563.4

7 1992 81.5 3698.2 238.1 4725.1 82.9 2008.6 134.2 3477.3

8 1993 146.9 3616.7 238.1 4487.0 40.8 1925.7 141.9 3343.1

9 1994 247.6 3469.8 238.1 4248.9 124.0 1884.9 203.2 3201.2

10 1995 133.1 3222.2 238.1 4010.7 118.1 1760.9 163.1 2997.9

11 1996 75.7 3089.1 78.8 3772.6 28.0 1642.8 60.8 2834.8

12 1997 215.8 3013.4 445.5 3693.8 177.4 1614.8 279.6 2774.0

13 1998 146.6 2797.6 217.6 3248.3 43.2 1437.4 135.8 2494.4

14 1999 319.7 2651.0 593.0 3030.7 125.0 1394.2 345.9 2358.6

15 2000 292.9 2331.3 282.7 2437.7 184.4 1269.2 253.3 2012.7

16 2001 360.8 2038.4 524.7 2155.0 202.7 1084.8 362.7 1759.4

17 2002 192.5 1677.6 235.3 1630.3 101.0 882.1 176.3 1396.7

18 2003 94.8 1485.1 120.1 1395.0 37.9 781.1 84.3 1220.4

19 2004 130.5 1390.3 128.2 1274.9 80.2 743.2 113.0 1136.1

20 2005 103.5 1259.8 151.6 1146.7 181.3 663.0 145.5 1023.2

21 2006 178.0 1156.3 197.9 995.1 32.2 481.7 136.0 877.7

22 2007 178.0 978.3 142.3 797.2 94.7 449.5 138.3 741.7

23 2008 178.0 800.3 186.6 655.0 94.7 354.8 153.1 603.4

24 2009 221.4 622.3 117.4 468.4 86.7 260.1 141.8 450.3

25 2010 54.8 400.9 55.9 351.0 86.7 173.4 65.8 308.4

26 2011 346.1 346.1 295.1 295.1 86.7 86.7 242.6 242.6

MEDIA 165.7 238.1 86.7

Dato mensual histrico completado con media histrica

Grfico N 3.7 Estaciones Grupo I Anlisis de Doble Masa de Precipitacin Total Anual (mm)


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Grupo IANLISIS DE DOBLE MASA DE LA PRECIPITACIN TOTAL ANUAL (mm); 1986 - 2011

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Grfico N 3.8 Estaciones Grupo I Anlisis de Doble Masa de Precipitacin Total Anual (mm)


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Grupo IIANLISIS DE DOBLE MASA DE LA PRECIPITACIN TOTAL ANUAL (mm); 1986 - 2011

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Grfico N 3.9 Estaciones Grupo I

Identificacin de quiebres en las series de precipitacin anual acumulada

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Grupo IANLISIS DE DOBLE MASA CON ESTACIN CONFIABLE: VILACOTA

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Grfico N 3.10 Estaciones Grupo II

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Anexo 3.2.4

ANLISIS ESTADSTICO

Cuadro N 3.9

Determinacin de periodos confiables y dudosos Precipitacin Media Mensual histrica

GRUPO I: ESTACIN PAMPA UMALZO

Ao PAMPA UMALZO

ANUAL ACUMULADA 1986 172.3 9695.1 1987 203.1 9522.8 1988 320.9 9319.7 1989 408.3 8998.7 1990 372.9 8590.4 1991 372.9 8217.5 1992 306.1 7844.6 1993 159.2 7538.5 1994 282.4 7379.3 1995 150.0 7096.9 1996 249.9 6946.9 1997 509.4 6697.0 1998 292.0 6187.6 1999 507.0 5895.6 2000 450.0 5388.6 2001 620.0 4938.6 2002 715.7 4318.6 2003 375.6 3602.9 2004 494.8 3227.3 2005 483.1 2732.5 2006 507.9 2249.4 2007 424.4 1741.5 2008 242.5 1317.1 2009 216.9 1074.6 2010 294.4 857.7 2011 563.3 563.3

Perodo Dudoso

Perodo Confiable

Cuadro N 3.10 Parmetros estadsticos Estacin PAMPA UMALZO

CONFIABLE DUDOSO 1 DUDOSO 2 PERIODO 1986 - 1993 y 2005 - 2008 1994 - 2004 2009 - 2011 LONGITUD MUESTRAL (N) 12 11 3 MEDIA (X) 331.1 422.4 358.2 DESVIACIN ESTNDAR (S) 117.6 169.9 181.8

Cuadro N 3.11 Consistencia en la media y en la desviacin standart

Estadstica T

Anlisis en la Media DUDOSO 1 DUDOSO 2 T-Student = 0.025 0.025 Sp = 144.9 134.9 Sd = 60.5 87.1 Tc = -1.510 -0.311 GDL = 21 12 Tt = 2.414 2.560 Se corrige? No No

Estadstica F

Anlisis en la Desviacin DUDOSO 1 DUDOSO 2 F-Fisher = 0.05 0.05 Fc = 2.085 2.388 Ff = 2.854 3.982 Se corrige? No No

Cuadro N 3.12

Determinacin de periodos confiables y dudosos Precipitacin Media Mensual histrica GRUPO II: ESTACIN SUSAPAYA

Ao SUSAPAYA

ANUAL ACUMULADA 1986 448.9 6191.7 1987 137.2 5742.8 1988 156.2 5605.6 1989 248.0 5449.4 1990 238.1 5201.4 1991 238.1 4963.3 1992 238.1 4725.1 1993 238.1 4487.0 1994 238.1 4248.9 1995 238.1 4010.7 1996 78.8 3772.6 1997 445.5 3693.8 1998 217.6 3248.3 1999 593.0 3030.7 2000 282.7 2437.7 2001 524.7 2155.0 2002 235.3 1630.3 2003 120.1 1395.0 2004 128.2 1274.9 2005 151.6 1146.7 2006 197.9 995.1 2007 142.3 797.2 2008 186.6 655.0 2009 117.4 468.4 2010 55.9 351.0 2011 295.1 295.1

Perodo Dudoso

Perodo Confiable

Cuadro N 3.13 Parmetros estadsticos

CONFIABLE DUDOSO 1 DUDOSO 2 PERIODO 1999 - 2011 1986 - 1989 1996 - 1998 LONGITUD MUESTRAL (N) 13 4 3 MEDIA (X) 233.1 247.6 247.3 DESVIACIN ESTNDAR (S) 160.1 142.7 185.1

Cuadro N 3.14 Consistencia en la media y en la desviacin standart

Estadstica T

Anlisis en la Media DUDOSO 1 DUDOSO 2 T-Student = 0.025 0.025 Sp = 156.8 163.9 Sd = 89.7 105.0 Tc = -0.161 -0.135 GDL = 15 14 Tt = 2.490 2.510 Se corrige? No No

Estadstica F

Anlisis en la Desviacin DUDOSO 1 DUDOSO 2 F-Fisher = 0.05 0.05 Fc = 1.260 1.337 Ff = 8.745 3.885 Se corrige? No No

ANEXO 3.2.5

CUADROS DE PRECIPITACIONES PRECIPITACION MENSUAL COMPLETADA

Cuadro N 3.15 Estacin Vilacota Precipitacin Media Mensual Completada (mm)


ALTITUD: 4440 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 121.09 122.44 57.59 8.52 2.76 0 3.48 0.33 0.44 1.32 1.51 58.74 378.221987 165.73 73.65 17.5 0.7 0.06 0.27 8.93 0.08 0.52 20.27 1.64 44.73 334.081988 116.96 65.09 52.8 16.93 0.13 0.01 0.13 0 0.29 3.99 0.62 69.02 325.971989 81.58 170.24 81.55 5.64 0.12 0.03 0.07 0 0.19 0.05 10.39 39.05 388.911990 83.42 86.67 65.12 6.91 1.13 0.02 0.24 0 0.92 7.9 34.16 41.54 328.031991 137.63 93.5 51.86 12.69 0.66 0.88 0.04 0 0.19 27.1 6.83 30.42 361.81992 56.04 128.67 69.76 0.69 0.2 0.33 0 0 0.65 7.39 8.19 32.16 304.081993 137.57 78.01 36.17 4.11 0.07 0.04 0.08 0.02 1.25 26.69 1.34 22.72 308.071994 151.83 125.15 72.51 12.51 8.08 0 0 0 0.1 1.31 23.35 61.06 455.91995 83.34 88.33 75.37 5.65 3.5 0.1 0 0.04 2.72 8.44 9.18 32.89 309.561996 75.56 159.3 66.2 18.43 21.32 0 0.1 0.03 1.04 0.43 21.84 48.31 412.561997 140.95 135.75 113.16 33.88 16.97 0 0.15 0.27 5.48 2.46 7.91 51.65 508.631998 206.3 42.8 11.7 0.9 0.9 7 0 0 0 1.7 17.2 36.3 324.81999 75.6 236.3 170.4 32.2 1.2 0 0 0 12.8 18.2 0 33.8 580.52000 164 105.4 99.1 28.5 6.3 2.7 2.2 2.2 2.2 15.7 5.1 62.7 496.12001 172 165.1 142.9 42.6 2.2 2.6 0 0 3.6 10.3 9.7 1.3 552.32002 63 148.8 123.3 60.8 2.3 0 31.3 0 0 24.3 31.6 81.8 567.22003 47.6 157.8 103.7 9.7 12.6 0 3.6 4.4 0 3.2 7.1 59.9 409.62004 143.3 97.2 63.1 4.2 0 0.5 21.1 15.7 1.8 0 0 29.3 376.22005 83.6 154.1 58 6.1 0 0 0 0 8.4 0.9 22.9 82.4 416.42006 115 126.1 176.6 25.2 0 0 0 0 0.7 28.3 20.4 57.7 5502007 92.5 97.8 84.3 6.6 3.2 0.5 0 0 3.9 3.8 31.2 74.3 398.12008 142.5 63.4 64.5 0 0 1 0 4.2 0 8.1 0 110.9 394.62009 84.6 164.3 65 46.3 0 0 3.9 0 2.7 0 43.9 34.7 445.42010 113.2 99.7 53 31.7 5.9 0 0 0 0.9 4.6 2.4 90 401.42011 130.4 141.3 35.5 46.4 13.3 0 1 0 0.8 0 19.2 91.3 479.2

PROM 114.8 120.3 77.3 18.0 4.0 0.6 2.9 1.0 2.0 8.7 13.0 53.0 415.7

ESTACION : VILACOTAPARAMETRO : PRECIPITACION

Cuadro N 3.16 Estacin Candarave Precipitacin Media Mensual Completada (mm)


ALTITUD: 3435 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 65.6 58.4 40.6 1.7 0.0 0.2 0.0 0.0 1.4 2.7 1.0 37.1 208.71987 102.8 5.4 4.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.81988 54.9 0.0 18.1 1.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74.11989 8.7 82.0 2.4 2.8 0.0 0.1 0.0 0.0 0.0 2.9 1.5 12.0 112.41990 15.1 7.6 15.2 0.0 0.0 20.3 0.0 0.0 0.0 0.0 13.4 12.1 83.71991 5.6 1.5 5.7 1.1 0.0 0.0 0.0 0.0 0.0 0.0 1.7 1.6 17.21992 8.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 72.3 81.51993 108.8 9.2 18.6 0.0 0.0 0.0 0.0 0.3 0.0 0.0 0.0 10.0 146.91994 75.0 134.1 2.1 17.6 0.0 0.0 0.0 0.0 0.0 0.0 1.3 17.5 247.61995 43.5 0.0 73.9 2.8 0.1 0.0 0.0 0.0 0.0 0.0 0.6 12.2 133.11996 43.6 25.5 1.3 0.0 0.0 0.0 0.0 0.2 0.0 0.0 1.7 3.4 75.71997 60.7 70.3 39.6 0.0 0.2 0.0 0.0 9.5 23.6 0.0 0.0 11.9 215.81998 92.1 31.9 1.6 2.0 0.0 4.1 0.0 0.0 0.0 0.0 6.6 8.3 146.61999 22.1 146.5 121.6 4.1 0.0 0.0 0.0 0.0 0.0 8.2 0.0 17.2 319.72000 117.7 63.2 101.8 0.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.9 292.92001 55.6 225.1 61.2 7.1 0.0 0.0 0.0 3.0 0.0 0.0 0.0 8.8 360.82002 21.6 82.5 33.7 2.8 0.0 6.3 26.3 0.0 0.0 2.5 3.5 13.3 192.52003 19.4 13.3 56.4 0.0 1.6 0.0 0.0 0.9 0.0 0.0 0.0 3.2 94.82004 63.8 51.5 1.3 0.0 0.0 0.0 12.4 0.5 0.0 0.0 0.0 1.0 130.52005 52.8 1.7 14.5 2.4 0.0 0.0 0.0 0.0 10.9 0.0 1.1 20.1 103.52006 58.7 72.2 40.4 0.7 0.0 0.0 0.0 0.0 0.0 0.1 0.0 5.9 178.02007 58.7 72.2 40.4 0.7 0.0 0.0 0.0 0.0 0.0 0.1 0.0 5.9 178.02008 58.7 72.2 40.4 0.7 0.0 0.0 0 0.0 0.0 0.1 0.0 5.9 178.02009 8.9 164.1 39.2 3.1 0 0 0.5 0 0 0 4.1 1.5 221.42010 4.8 34.6 1.7 0 3.1 0 0 0 0 1 0 9.6 54.82011 89.1 146.1 4.9 9.3 0 0 0 0 0 0 2.2 94.5 346.1

PROM 50.6 60.4 30.0 2.3 0.2 1.2 1.5 0.6 1.4 0.7 1.5 15.2 165.7

ESTACIONPARAMETRO

: CANDARAVE: PRECIPITACION

Cuadro N 3.17 Estacin Pampa Umalzo Precipitacin Media Mensual Completada (mm)


ALTITUD: 4609 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 18.8 20.9 42.8 6.9 0 0 2.9 0.5 0 0 0 79.5 172.31987 152.1 25.6 12.1 0 0 0 2.5 0 0 0.3 0 10.5 203.11988 123.9 31.5 83.7 34.6 0 0 0 0 0 0 0 47.2 320.91989 80.2 229.4 98.7 0 0 0 0 0 0 0 0 0 408.31990 30.73 21.58 41.13 2.11 0.01 0.02 0.02 0.06 0.07 0.38 26.13 82.99 205.231991 150.93 59.2 38.97 12.4 0.18 0.01 0.01 0.13 0 0.04 3.39 25.99 291.251992 101.1 95.4 78.9 0 0 0 0 0 0 0 0 30.8 306.11993 107.1 7.1 2.3 0 0 4.1 0 13.1 0 0 0 25.5 159.21994 152.9 37.5 39.8 1.5 0 0 0 0 0 3.4 9.2 38.1 282.41995 39.8 28 44.4 0 1.5 0.2 0 0 0.6 0 4.3 31.2 1501996 65.2 67.2 56.7 19.9 0.4 0 0 4.1 1.6 0 3.6 31.2 249.91997 103.9 191.2 73.8 10.6 2.5 0 0 32.3 30.3 0 17.1 47.7 509.41998 161.6 34 22 12.2 0 4.1 0 0 0 0 13.6 44.5 2921999 57.2 222.3 115.3 58.9 0 0 0 0 10.6 11.8 0 30.9 5072000 129.2 118.3 97.7 21.5 0 0.3 0.6 0 0 19.3 4.9 58.2 4502001 143.4 204.4 130.2 58.1 2.8 1.9 0 6.5 0 9.4 22.3 41 6202002 143.2 153.9 183.3 77.2 7 4.5 19.5 19.5 0 0 54.4 53.2 715.72003 70.3 70.9 115.4 15.5 15.6 0 0 10.4 4.3 0.8 4.9 67.5 375.62004 146.6 135.6 100 17.1 0 0 16.2 31 14.3 1.4 0.1 32.5 494.82005 74.1 137.7 97.7 11.9 0 0 0 0 52.2 4.1 8.3 97.1 483.12006 127.8 98.2 109 14.8 0 5.5 0 0 1 18.7 63.6 69.3 507.92007 132.8 101 145.6 19.4 13.8 1.2 0 5.4 5.2 0 0 0 424.42008 47.4 41.5 82.8 5 0 0 0 6.6 0 0 0 59.2 242.52009 12.8 34.4 63.6 23.6 0 0 16 0 0 12.1 40.5 13.9 216.92010 41.5 65.7 54 15.3 10.5 0 0 0 3.4 0 0 104 294.42011 192.3 137.3 44.3 33.1 7.5 0 1 0 1.6 0 25.4 120.8 563.3

PROM 100.3 91.1 75.9 18.1 2.4 0.8 2.3 5.0 4.8 3.1 11.6 47.8 363.3

ESTACION : PAMPA UMALZOPARAMETRO : PRECIPITACION

Cuadro N 3.18 Estacin Susapaya Precipitacin Media Mensual Completada (mm)


ALTITUD: 3420 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC ANUAL1986 223 92.9 25.5 0 0 0 0 0 0 0 12.1 95.4 448.91987 100.4 9.7 0 0 0 0 5.3 0 0 21.8 0 0 137.21988 100.4 0.2 46.6 1.1 0 0 0 0 0 0 0 7.9 156.21989 19.4 216.4 12.2 0 0 0 0 0 0 0 0 0 248.01990 131.6 0.5 61.2 1.7 0.2 0.2 0.2 0.2 0.2 0.2 0.2 10.6 207.11991 25.6 283.5 16.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 327.21992 172.5 0.8 80.3 2.4 0.5 0.5 0.5 0.5 0.5 0.5 0.5 14.0 273.61993 33.7 371.3 21.4 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 430.91994 226.1 1.3 105.4 3.3 0.9 0.9 0.9 0.9 0.9 0.9 0.9 18.6 360.81995 44.4 486.2 28.2 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 566.71996 28.2 22.6 17.6 0 0 0 0 0 0 0 0 10.4 78.81997 167.4 130.2 82.8 0 0 0 0 14.9 42.4 0 0 7.8 445.51998 146.2 39 0 0 0 8.4 0 0 0 0 7.5 16.5 217.61999 36.4 393.7 134.4 1.3 0 0 0 0 2.1 6.2 0 18.9 593.02000 184 76.4 9.3 0 0 0 0 0 0 0 0 13 282.72001 37.2 342.6 129.2 0 0 0 0 3.7 0 0 0 12 524.72002 27.4 95.6 46 0 0 5.2 44.2 0 0 8.7 2.5 5.7 235.32003 26.2 36.6 49.7 0 2.6 0 0 1.1 0 0 0 3.9 120.12004 56 65.1 0 0 0 0.5 2.3 0 0 2.1 1.6 0.6 128.22005 42.8 69.7 7 0 0 0 0 0 7.1 0 2.1 22.9 151.62006 55 70.2 52.9 0 0 0 0 0 0 3.5 0 16.3 197.92007 41.4 54 33.2 0 0 0 0 0 0 0 2.6 11.1 142.32008 131.5 35.9 9.1 0 0 0 0 1.6 0 0 0 8.5 186.62009 8.1 99.2 8.4 0 0 0 0.2 0 0 0 1.5 0 117.42010 8 27 0 4.6 0 0 0 0 0 0 0 16.3 55.92011 83.6 134.5 0 10.1 7 0 0 0 0 0 2 57.9 295.1

PROM 82.9 121.4 37.6 1.0 0.5 0.7 2.1 0.9 2.1 1.7 1.3 14.2 266.5

ESTACION : SUSAPAYAPARAMETRO : PRECIPITACION

Cuadro N 3.19 Estacin Vilacota Precipitacin Media Mensual Completada (mm)


ALTITUD: 2825 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC TOTAL1986 5.4 7.3 1.1 0.2 0.0 39.3 0.0 0.0 0.2 0.4 0.0 65.8 119.71987 1.4 0.0 0.0 0.0 0.0 0.1 0.0 0.0 0.0 0.0 0.0 0.0 1.51988 29.1 9.2 3.7 0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.9 43.11989 5.9 4.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 10.81990 5.0 0.5 14.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47.7 67.41991 0.0 0.0 0.5 2.1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 2.81992 13.8 3.4 0.0 0.1 0.0 1.2 0.0 0.0 0.0 0.0 0.0 64.4 82.91993 23.2 0.1 8.7 0.0 0.0 0.0 0.0 0.3 0.0 0.0 0.0 8.5 40.81994 10.5 90.1 0.0 16.6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.8 124.01995 27.1 0.0 77.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1 12.6 118.11996 0.0 1.4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26.6 28.01997 31.6 77.9 64.0 0.0 0.0 0.0 0.0 0.2 1.3 0.0 0.0 2.4 177.41998 10.3 27.8 1.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8 2.1 43.21999 2.4 64.5 56.3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8 125.02000 91.8 58.8 29.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 184.42001 27.9 129.7 42.4 1.2 0.0 0.0 0.0 1.5 0.0 0.0 0.0 0.0 202.72002 13.4 37.5 21.8 0.2 0.0 6.6 16.4 0.0 0.0 1.7 0.0 3.4 101.02003 14.8 2.2 20.9 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37.92004 19.7 52.1 5.2 0.0 0.0 0.0 3.2 0.0 0.0 0.0 0.0 0.0 80.22005 94.4 59.3 0.0 0.0 0.0 0.0 0.0 0.0 8.2 0.0 0.0 19.4 181.32006 2.6 16.9 12.1 0.0 0.0 0.6 0.0 0.0 0.0 0.0 0.0 0.0 32.22007 26.1 30.7 23.5 0.6 0.0 1.3 0.5 0.1 0.5 0.1 0.1 11.2 94.72008 26.1 30.7 23.5 0.6 0.0 1.3 0.5 0.1 0.5 0.1 0.1 11.2 94.72009 13.4 15.7 12.2 1.0 0.7 1.3 1.0 0.8 1.0 0.8 0.8 6.2 54.72010 7.3 8.3 6.6 1.2 1.1 1.4 1.2 1.1 1.2 1.1 1.1 3.7 35.22011 4.2 4.8 3.9 1.3 1.2 1.4 1.3 1.2 1.3 1.2 1.2 2.5 25.7

PROM 19.5 28.2 16.5 1.0 0.1 2.1 0.9 0.2 0.5 0.2 0.2 11.6 81.1

: ARICOTA: PRECIPITACION

ESTACIONPARAMETRO

Cuadro N 3.20 Estacin Suches Precipitacin Media Mensual Completada (mm)


ALTITUD: 4500 msnm

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC TOTAL1986 134.0 138.4 56.2 20.1 1.5 0.4 0.0 3.7 0.0 0.4 6.7 97.2 458.61987 149.8 33.8 13.2 0.0 0.0 2.8 16.1 0.0 0.1 10.7 14.9 12.2 253.61988 94.1 9.2 56.1 17.1 0.5 0.0 0.1 0.0 0.1 3.3 3.3 36.9 220.71989 73.3 100.2 32.5 23.5 1.6 0.0 1.0 0.0 0.0 0.0 33.9 1.8 267.81990 61.5 12.0 47.6 15.2 3.3 59.2 0.0 0.0 0.2 3.8 52.2 82.1 337.11991 114.8 50.5 73.0 17.1 0.0 21.4 0.0 0.0 0.0 13.3 22.5 19.3 331.91992 39.9 15.1 0.3 0.3 0.0 2.1 0.0 1.6 0.1 10.0 19.6 84.6 173.61993 125.3 84.4 87.0 8.7 0.0 0.1 0.2 0.5 1.0 59.1 20.6 82.7 469.61994 134.2 163.4 39.3 40.6 5.7 0.0 0.0 0.0 0.0 0.0 10.2 48.9 442.31995 77.3 25.8 112.9 24.5 0.6 0.0 0.0 0.0 1.4 9.7 10.9 46.8 309.91996 80.6 128.0 66.7 25.4 4.3 0.0 0.0 0.0 0.7 0.1 54.4 81.1 441.31997 130.0 187.8 86.0 25.1 10.6 0.0 0.0 20.6 28.8 3.2 1.8 70.3 564.21998 176.2 63.2 26.2 19.5 0.0 0.2 0.0 0.3 0.0 0.7 23.9 57.7 367.91999 54.2 235.1 136.3 33.9 0.0 0.0 0.0 0.0 18.9 9.6 0.0 56.2 544.22000 124.2 130.9 69.7 14.9 4.9 0.3 0.2 0.0 0.0 13.5 6.5 45.8 410.92001 120.9 199.1 117.0 49.6 0.0 0.0 0.4 4.8 1.3 11.3 10.9 22.1 537.42002 71.8 136.1 123.8 54.8 2.3 5.2 13.2 0.0 0.0 8.1 39.4 41.4 496.12003 51.2 83.8 76.5 16.6 9.8 0.0 0.0 3.1 1.7 0.6 5.7 39.5 288.52004 97.8 100.7 55.5 12.0 0.0 0.3 21.5 6.8 2.7 0.0 0.0 0.0 297.32005 42.8 143.7 61.6 5.0 0.0 0.0 0.0 0.0 3.9 1.0 14.9 73.3 346.22006 141.9 113.2 49.7 26.6 0.3 0.0 0.1 0.1 1.0 1.1 1.9 9.1 345.02007 141.9 113.2 49.7 26.6 0.3 0.0 0.1 0.1 1.0 1.1 1.9 9.1 345.02008 141.9 113.2 49.7 26.6 0.3 0.0 0.1 0.1 1.0 1.1 1.9 9.1 345.02009 92.2 93.1 48.7 27.9 0.3 0.0 34.08 0.0 0.1 0.0 20.0 27.0 343.42010 96.2 41.5 28.1 24.1 1.7 0.3 0.01 0.0 0.8 4.7 4.3 105.8 307.52011 123.9 154.1 26.9 15.0 1.2 0.0 0.62 0.0 0.8 0.1 13.4 120.1 456.1

PROM 103.5 102.7 61.2 22.0 1.9 3.6 3.4 1.6 2.5 6.4 15.2 49.2 373.1

ESTACION : SUCHESPARAMETRO : PRECIPITACION

ANEXO 3.2.6

HISTOGRAMAS DE PRECIPITACIN COMPLETADA

Grfico N 3.11 Histograma Precipitacin Media Mensual Completada Estacin Vilacota (1986 2011)

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Histograma Precipitacin Completada Vilacota (1986 - 2011)

Grfico N 3.12 Histograma Precipitacin Media Mensual Completada Estacin Candarave (1986 2011)

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Histograma Precipitacin Completada Candarave (1986 - 2011)

Grfico N 3.13 Histograma Precipitacin Media Mensual Completada Estacin Pampa Umalzo (1986 2011)

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Histograma Precipitacin Completada Pampa Umalzo (1986 - 2011)

Grfico N 3.14 Histograma Precipitacin Media Mensual Completada Estacin Susapaya (1986 2011)

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Grfico N 3.15 Histograma Precipitacin Media Mensual Completada Estacin Aricota (1986 2011)

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Histograma Precipitacin Completada Aricota (1986 - 2011)

Grfico N 3.16 Histograma Precipitacin Media Mensual Completada Estacin Aricota (1986 2011)

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Histograma Precipitacin Completada Suches(1986 - 2011)

ANEXO 3.2.7

PRECIPITACIONES MAXIMAS EN 24 HORAS

ESTACION : VILACOTA PARAMETRO : PRECIPITACION MAXIMA

AO ENE FEB MAR ABR MAY JUN JUL AGO SEP OCT NOV DIC anual

1998 29.00 10.10 6.80 0.90 0.90 6.80 0.00 0.00 0.00 1.70 6.80 16.30 29 1999 18.10 22.40 28.00 14.30 1.20 0.00 0.00 0.00 10.00 8.20 0.00 10.20 28 2000 35.50 13.20 21.10 9.30 4.10 2.20 2.20 2.20 2.20 6.30 2.40 12.50 35.5 2001 26.60 20.20 28.90 14.30 2.20 1.30 0.00 0.00 1.20 3.50 3.50 1.30 28.9 2002 18.20 15.10 35.50 14.60 1.80 0.00 14.60 0.00 0.00 11.10 8.30 25.00 35.5 2003 9.80 37.20 27.10 5.30 5.50 0.00 2.90 3.50 0.00 3.00 7.10 28.50 37.2 2004 17.90 18.20 14.80 3.00 0.00 0.50 10.00 7.40 1.00 0.00 0.00 12.30 18.2 2005 12.50 26.70 11.00 4.40 0.00 0.00 0.00 0.00 4.20 0.90 14.60 19.60 26.7 2006 24.00 29.20 21.90 15.40 0.00 0.00 0.00 0.00 0.70 15.00 9.00 23.60 29.2 2007 15.00 17.60 21.90 6.00 3.20 0.50 0.00 0.00 2.00 3.50 9.50 13.60 21.9 2008 19.30 15.40 15.10 0.00 0.00 1.00 0.00 4.20 0.00 5.90 0.00 15.50 19.3 2009 34.90 26.90 19.60 16.40 0.00 0.00 3.90 0.00 2.70 0.00 7.50 9.50 34.9 2010 20.00 21.50 19.40 19.50 2.00 0.00 0.00 0.00 0.90 3.60 2.40 15.00 21.5

2011 18.00 18.00 7.10 22.40 11.50 0.00 1.00 0.00 0.80 0.00 19.20 19.00 22.4

Max 35.5 37.2 35.5 22.4 11.5 6.8 14.6 7.4 10 15 19.2 28.5 37.2

ESTACION : PAMPA UMALZO (TITIJONES) PARAMETRO : PRECIPITACION MAXIMA


1986 10.20 5.20 10.00 2.80 0.00 0.00 2.90 0.50 0.00 0.00 0.00 10.00 10.2 1987 11.10 5.30 2.80 0.00 0.00 0.00 1.40 0.00 0.00 0.30 0.00 7.30 11.1 1988 9.60 13.10 10.30 5.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 13.1 1989 11.00 26.80 12.80 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 26.8 1992 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5.40 5.4 1993 14.40 2.50 1.00 0.00 0.00 1.40 0.00 5.00 0.00 0.00 0.00 5.30 14.4 1994 17.00 7.60 7.00 1.20 0.00 0.00 0.00 0.00 0.00 1.30 1.90 3.40 17.0 1995 3.50 3.50 6.00 0.00 1.50 0.20 0.00 0.00 0.60 0.00 3.10 4.80 6.0 1996 5.20 6.90 12.10 4.10 0.40 0.00 0.00 3.80 1.60 0.00 1.30 3.20 12.1 1997 8.70 31.50 9.40 2.80 1.40 0.00 0.00 10.90 7.30 0.00 4.70 14.20 31.5 1998 26.30 6.90 3.10 7.00 0.00 4.10 0.00 0.00 0.00 0.00 4.80 10.60 26.3 1999 10.50 27.70 11.90 9.50 0.00 0.00 0.00 0.00 4.40 3.00 0.00 8.40 27.7 2000 15.00 14.10 10.60 4.10 0.00 0.30 0.40 0.00 0.00 12.20 2.70 7.10 15.0 2001 26.90 21.10 14.90 11.20 1.50 1.90 0.00 4.20 0.00 5.80 8.60 12.40 26.9 2002 20.00 16.20 23.40 16.60 7.00 2.70 6.30 6.30 0.00 0.00 17.50 14.60 23.4 2003 13.40 9.90 15.20 4.30 11.30 0.00 0.00 5.80 3.60 0.80 3.30 16.10 16.1 2004 14.60 25.10 16.80 9.80 0.00 0.00 11.70 9.40 8.00 1.40 0.10 8.20 25.1 2005 12.40 23.00 12.90 3.30 0.00 0.00 0.00 0.00 18.40 4.10 3.90 13.90 23.0 2006 13.60 16.60 12.20 5.60 0.00 3.60 0.00 0.00 0.80 8.60 19.30 21.00 21.0 2007 21.10 16.70 32.70 8.50 12.60 0.80 0.00 0.00 0.00 0.00 32.7 2008 9.40 4.90 12.80 2.40 0.00 0.00 0.00 3.30 0.00 0.00 0.00 11.40 12.8 2009 2.30 4.20 16.60 5.60 0.00 0.00 8.80 0.00 0.00 3.80 14.00 6.00 16.6 2010 4.20 12.80 6.80 6.40 6.80 0.00 0.00 0.00 3.40 0.00 0.00 8.60 12.8

2011 26.40 11.90 7.20 6.70 6.10 0.00 1.00 0.00 0.80 0.00 22.90 15.40 26.4

Max 26.90 31.50 32.70 16.60 12.60 4.10 11.70 10.90 18.40 12.20 22.90 21.00 32.7

ESTACION : SUSAPAYA PARAMETRO : PRECIPITACION MAXIMA


1986 24.20 22.20 5.30 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5.30 23.90 24.2 1987 21.50 8.40 0.00 0.00 0.00 0.00 4.10 0.00 0.00 13.80 0.00 0.00 21.5 1988 11.30 0.20 14.10 1.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3.60 14.1 1989 10.20 26.40 10.30 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 26.4 1996 7.60 6.30 6.70 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6.20 7.6 1997 17.50 13.50 26.80 0.00 0.00 0.00 0.00 7.00 30.60 0.00 0.00 4.30 30.6 1998 21.70 25.50 0.00 0.00 0.00 4.10 0.00 0.00 0.00 0.00 4.50 10.20 25.5 1999 20.00 35.00 18.90 1.30 0.00 0.00 0.00 0.00 2.10 2.80 0.00 5.90 35.0 2000 19.30 11.90 4.40 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5.40 19.3 2001 16.00 51.40 32.80 0.00 0.00 0.00 0.00 3.60 0.00 0.00 0.00 11.60 51.4 2002 9.50 13.60 7.70 0.00 0.00 5.20 23.00 0.00 0.00 8.40 1.70 5.60 23.0 2003 9.70 9.70 10.40 0.00 1.20 0.00 0.00 0.00 0.00 0.00 2.60 10.4 2004 9.40 19.70 0.00 0.00 0.00 0.50 1.80 0.00 0.00 0.60 19.7 2005 16.80 32.40 6.30 0.00 0.00 0.00 0.00 0.00 4.80 0.00 2.10 7.00 32.4 2006 14.50 13.10 11.30 0.00 0.00 0.00 0.00 0.00 0.00 3.50 0.00 14.5 2007 16.50 10.40 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.60 7.70 16.5 2008 22.40 17.70 4.60 0.00 0.00 0.00 0.00 1.60 0.00 0.00 0.00 2.60 22.4 2009 3.00 23.20 5.80 0.00 0.00 0.00 0.20 0.00 0.00 0.00 1.50 0.00 23.2 2010 4.10 12.60 0.00 3.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 12.6 2011 16.30 24.50 0.00 6.40 7.00 0.00 0.00 0.00 0.00 0.00 2.00 12.10 24.5 Max 24.20 51.40 32.80 6.40 7.00 5.20 23.00 7.00 30.60 13.80 5.30 23.90 51.4

ANEXO 3.2.8

DATA HISTRICA DE CAUDALES DE ESTACIONES HIDROMETRICAS

ANEXO 3.2.9

DATA HISTORICA DE CAUDALES HORARIOS TURBINADOS

ANEXO 3.2.10

DATA HISTORICA DE CAUDALES HORARIOS VERTEDERO

Anexo 3.2.11

ANLISIS DE CONSISTENCIA DE LA INFORMACIN HIDROMETRICA

1. ANLISIS DE CONSISTENCIA DE LA INFORMACIN HIDROMTRICA

Para el anlisis de consistencia se tomaron en cuenta los registro de los aos 2001,2002,2007,2008,2009 y 2010, tanto para el caudal turbinado y el vertedero, descartando algunos aos por la indisponibilidad de la central hidroelctrica 2, por mantenimiento mayor o siniestros y tambin por falta de mediciones o errores de lectura, siendo estos justificados con el criterio que el caudal del vertedero tiene que ser mayor que el caudal del turbinado, debido a que existe el aporte por infiltraciones y de un dren subterrneo.

1.1. Anlisis de consistencia La no homogeneidad e inconsistencia en secuencias hidrolgicas representa uno

de los aspectos ms importantes del estudio de hidrologa, ya que un error significativo puede introducirse en todos los anlisis futuros, obteniendo resultados altamente sesgado.

el anlisis de los datos de caudales obedecen a la misma metodologa aplicada

para el anlisis de datos pluviomtricos. 1.2. Anlisis de saltos El Anlisis de Saltos se realiza desde tres puntos de vista:

1. Anlisis Visual de los Grficos Originales, 2. Anlisis de Doble Masa, y 3. Anlisis Estadstico de la Media y Desviacin Estndar, segn las Pruebas

de T de Student, y F de Fisher, respectivamente.

Combinando estos criterios se llega a tener una idea de la confiabilidad de la muestra para corregirla si fuese necesario aumentando su bondad estadstica.

1.2.1 Anlisis visual

En general los procesos hidrolgicos como son la precipitacin y la escorrenta se pueden registrar a una escala de tiempo continuo, aunque pueden ser tambin discretos cuando se registran respetando un intervalo de tiempo. una grafica de descargas vs el tiempo constituyen una serie de tiempo que pueden ser definidas en forma horaria, diaria, mensual o anualmente.

En el anlisis de homogeneidad de los datos primero se empieza por una anlisis visual de la serie hidrolgica, esto a fin de detectar saltos.

1.2.2 Anlisis de doble masa Los diagramas de doble masa junto con el anlisis visual sirven para determinar

el rango de los periodos dudosos y confiables para cada estacin en estudio. Los errores posibles se pueden detectar por el quiebre o quiebres que presentan los diagramas, considerndose una estacin con menos errores, consistentes, en la medida que presente un menor nmero de puntos de quiebre.

En los siguientes grficos se muestran los diagramas de doble masa

Grfico N 3.17 :Diagrama de doble masa para el periodo 2001

Grfico N 3.18: Diagrama de doble masa para el periodo 2002

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Analizando e interpretando los grficos de doble masa se observa que a partir del ao 2007 al 2010 presentan quiebres, lo que se traduce en periodos no confiables, y como otro criterio de interpretacin, que el caudal del vertedero debe ser mayor o igual al caudal turbinado, lo cual en ninguno de estos aos se evidencia esto, dando como resultado que el turbinado sea mayor que el vertedero, cosa que no debe ocurrir, caso contrario ocurre con los aos 2001 y 2002, por lo que tomaremos como periodo confiable los caudales turbinados de esos aos, debido a que sus mediciones son mas exactas que las que se registra en el vertedero.

1.2.3 Anlisis Estadstico Conociendo los periodos de posible correccin de los datos, se procede a

analizarlos estadsticamente, en la media y la desviacin estndar, para ver si sus valores estn dentro del rango permisible para un cierto nivel de significacin, segn la hiptesis que se plantea.

Combinando estos criterios se llega a tener una idea de la confiabilidad de la muestra, para corregir, si fuese necesario, mejorando su bondad estadstica y obteniendo finalmente una serie de datos homogneos y consistentes.

Prueba estadstica T de Student

Analizando los caudales del vertedero y segn el anlisis de doble masa, a partir del ao 2007,es donde se genera un quiebre hasta el ao 2010, la cual ser nuestro periodo no confiable y la parte confiable los aos 2001 y 2002, en el siguiente cuadro se muestra los resultados.

Parmetro Confiable (X1) Dudoso (X2) x 0.2 0.1 s 0.026 0.0161 n 718 1339 s2 0.000701 0.000260

Anlisis en la Media PD1

T-student = 0.025 Sp = 0.0 Sd = 0.0 Tc = 65.343 GDL = 2055 Tt = 2.243 Se corrige? Si

Prueba estadstica F de Fisher

El anlisis consiste en probar, mediante la prueba F de Fisher, si los valores de la desviacin estndar de las muestras son estadsticamente homogneas con un 5% de nivel de significancia

Anlisis en la Desviacin

PD1 F-fisher = 0.05 Fc = 2.701 Ff = 1.113 Se corrige? Si

la media de X1 y X2 de los caudales del vertedero son estadsticamente no

homogneas (T calculado > T tabular); y las desviaciones estndar S1 y S2 son estadsticamente no homogneas (F calculado > F tabular), por lo tanto se realiza la correccin o completacin de los valores de caudales diarios del perodo dudoso.

2. CORRECCIN DE LA INFORMACIN HIDROMTRICA

Si la media y desviacin estndar resultan estadsticamente iguales, la informacin original queda intacta, por ser consistente al 95% de probabilidad, aun cuando en el doble masa se encuentre pequeos quiebres. Pero si resulta la media y la desviacin estndar estadsticamente diferentes se corrige mediante la siguiente ecuacin.

si se corrige el primer priodo: si se corrige el segundo periodo:

Se realizo la correccin de los datos de los periodos dudosos, las cuales se dan a

partir de ao 2007, como resultado se obtiene el diagrama de doble masa de toda la serie de los aos, donde se cumple que el caudal del vertedero es mayor al turbinado.

Mediante un anlisis estadstico se comprueba que la media y desviacin

estndar son homogneas y consistentes, sin embargo la grafica muestra que a partir del ao 2007, ambas tendencias no guardan relacin proporcional debido a

que el caudal de filtraciones y del dren subterrneo se mantienen constantes en el tiempo, por lo que se ve en la necesidad de generar caudales del vertedero a partir de caudal turbinado, tomando como referencia que la pendiente del caudal del vertedero del ao 2007 al 2010 debe tender a ser igual a la del turbinado.

Grfico N 3.23: Diagrama de doble masa de los periodos 2001,2002,2007-2010

2.2.1 Correlacin lineal y regresin Si disponemos de dos series de datos emparejados, con frecuencia es til

conocer si ambas variables estn relacionadas, y en caso afirmativo, encontrar la expresin que refleja dicha relacin. Si la ecuacin que mejor relaciona dichas variables es la de una recta, decimos que existe una correlacin lineal, sin embargo la relacin entre estas dos variables puede ser exponencial, polinmica, etc.

Se llama recta de regresin a la lnea que atraviesa la nube de puntos y que

mejor se ajuste a ellos, siendo la ecuacin de la recta Y=a X + b, y si llegamos a conocer esa ecuacin, podemos llegar a estimar valores de Y desconocidos a partir de valores de X conocidos, siendo para nuestro caso los valores de X los datos del caudal turbinado. En el siguiente grafico se muestra la correlacin entre los caudales turbinados y caudales del vertedero.

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Grfico N 3.24: correlacin lineal del caudal turbinado vs el caudal del vertedero

Del grafico anterior se obtiene la relacin entre los caudales, siendo la variable

independiente los datos de caudales turbinados (X), con lo cual se obtendrn los nuevos caudales a partir del ao 2007 al 2010 con la siguiente ecuacin: Y=0.887X+0.036, a partir de esta ecuacin se procede a generar los nuevos caudales del vertedero, las cuales se volvieron a generar el diagrama de doble masa, la que se presenta en el grafico siguiente.

Grfico N 3.25: Diagrama de doble masa de los periodos 2001,2002,2007-2010

y = 0.887x + 0.036R = 0.766

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Anexo 3.2.10

CAUDALES DEL VERTEDERO GENERADOS

1. anlisis de consistencia de la informacin hidromtrica2. correccin de la informacin hidromtrica

13.- Vol III - Ane 01 - EstHid - Anexo 1.2.1 (F).pdf

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