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US Army Corps of Engineers
BUILDING STRONG®
Omaha Districts Inflow Forecast Regression Analysis
Carrie Vuyovich and Steven DalyERDC-CRREL
Cold Regions Res. and Engr. Lab. (CRREL)U.S. Army Corps of Engineers
January 2011
BUILDING STRONG®
Overview
Background Multiple linear regression analysis to forecast spring
inflows to reservoirs 6 snow-dominated watersheds Monthly forecasts beginning in January
Goals Update regressions with recent data, improve accuracy Develop better estimate of SWE Work towards a more automated process Identify possible climate trends
BUILDING STRONG®
BUILDING STRONG®
Parameters
• Q (106 ac-ft) = Forecasted total volume inflow to reservoir (+ Holdouts)
• SWE (in) = Average station SWE on first of month• ANTQ (106 ac-ft) = Total antecedent inflow from Oct – Nov of previous year
(+ Holdouts)
• ANTPREC (in) = Total annual precipitation in previous year
• P (in) = Total precipitation since beginning of year
1 1
1 1
OCT NOV DEC OCT
OCT NOV OCT NOV
APR JUL APR JUL AUG APR
APR JUL APR JUL
Holdout Storage Storage Storage
AntQ Inflow Holdouts
Holdout Storage Storage Storage
Q Inflow Holdouts
Holdout Calculation:
BUILDING STRONG®
Canyon Ferry
Average monthly total precipitation (in)
Area = 15,886 mi2
Average Apr-Jul total volume inflow = 1.9 M ac-ft (2 M ac-ft Natural)
Average Oct-Nov total volume inflow = 0.56 M ac-ft (0.56 M ac-ft Natural)
Precip (in) Jan Feb Mar Apr May JunAverage 0.56 0.46 0.89 1.41 2.30 2.49
SWE (in) 1-Jan 1-Feb 1-Mar 1-Apr 1-May 1-JunAverage 7.35 10.65 13.32 16.59 16.87 8.84
BUILDING STRONG®
Canyon Ferry
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
1970
1972
1974
1976
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
Canyon Ferry1 Jan Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
1970
1972
1974
1976
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
Canyon Ferry1 Feb Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
1970
1972
1974
1976
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
Canyon Ferry1 Mar Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
1970
1972
1974
1976
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
Canyon Ferry1 Apr Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
1970
1972
1974
1976
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
Canyon Ferry1 May Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
1970
1972
1974
1976
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
Canyon Ferry1 June Forecast
Actual inflow Observed Natural Inflow
Jan Feb Mar Apr May June July
Results Without Holdouts R2 0.43 0.55 0.55 0.63 0.71 0.75 0.84Std dev error 0.66 0.60 0.61 0.55 0.49 0.45 0.37
BUILDING STRONG®
Clark Canyon
Average monthly total precipitation (in)
Area = 2,315 mi2
Average Apr-Jul total volume inflow = 0.08 M ac-ft (0.09 M ac-ft Natural)
Average Oct-Nov total volume inflow = 0.04 M ac-ft (0.05 M ac-ft Natural)
Precip (in) Jan Feb Mar Apr May JunAverage 0.33 0.26 0.57 1.08 1.86 1.73
SWE (in) 1-Jan 1-Feb 1-Mar 1-Apr 1-May 1-JunAverage 5.93 8.49 10.56 13.15 12.89 4.72
BUILDING STRONG®
Clark Canyon
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.3519
77
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Clark Canyon1 Jan Forecast
Actual inflow Observed Natural Inflow
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Clark Canyon1 FebForecast
Actual inflow Observed Natural Inflow
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Clark Canyon1 Mar Forecast
Actual inflow Observed Natural Inflow
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Clark Canyon1 Apr Forecast
Actual inflow Observed Natural Inflow
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Clark Canyon1 May Forecast
Actual inflow Observed Natural Inflow
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Clark Canyon1 June Forecast
Actual inflow Observed Natural Inflow
Jan Feb Mar Apr May Jun Jul
R2 0.54 0.55 0.51 0.60 0.66 0.67 0.72Std dev error 0.05 0.05 0.05 0.04 0.04 0.04 0.03
BUILDING STRONG®
Tiber
Average monthly total precipitation (in)
Area = 4,724 mi2
Average Apr-Jul total volume inflow = 0.43 M ac-ft
Average Oct-Nov total volume inflow = 0.04 M ac-ft
Precip (in) Jan Feb Mar Apr May JunAverage 0.37 0.28 0.51 0.92 2.02 2.56
SWE (in) Jan Feb Mar Apr May JunAverage 8.01 12.13 15.37 18.40 15.52 5.85
BUILDING STRONG®
Tiber
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.9019
77
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Tiber1 Jan Forecast
Actual inflow Observed
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Tiber1 Feb Forecast
Actual inflow Observed
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Tiber1 Mar Forecast
Actual inflow Observed
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Tiber1 Apr Forecast
Actual inflow Observed
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Tiber1 May Forecast
Actual inflow Observed
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Tiber1 June Forecast
Actual inflow Observed
Jan Feb Mar Apr May June JulyR2 0.28 0.41 0.46 0.51 0.59 0.66 0.80
Standard Error 0.16 0.14 0.14 0.13 0.12 0.11 0.08
BUILDING STRONG®
Yellowtail
Average monthly total precipitation (in)
Area = 19,693 mi2
Average Apr-Jul total volume inflow = 1.0 M ac-ft (1.4 M ac-ft Natural)
Average Oct-Nov total volume inflow = 0.30 M ac-ft (0.32 M ac-ft Natural)
Precip (in) Jan Feb Mar Apr May JunAverage 0.30 0.29 0.61 1.11 1.89 1.24
SWE (in) Jan Feb Mar Apr May JunAverage 6.49 8.84 10.88 13.60 13.84 6.80
BUILDING STRONG®
Yellowtail
0.00
0.50
1.00
1.50
2.00
2.50
3.00
Yellowtail1 Jan Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
Yellowtail1 Feb Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
Yellowtail1 Mar Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
Yellowtail1 Apr Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
Yellowtail1 May Forecast
Actual inflow Observed Natural Inflow
0.00
0.50
1.00
1.50
2.00
2.50
3.00
Yellowtail1 June Forecast
Actual inflow Observed Natural Inflow
Jan Feb Mar Apr May Jun Jul
With Holdouts R2 0.38 0.44 0.36 0.44 0.70 0.86 0.91Std dev Error 0.55 0.54 0.58 0.53 0.39 0.27 0.22
BUILDING STRONG®
Boysen
Average monthly total precipitation (in)
Area = 7,750 mi2
Average Apr-Jul total volume inflow = 0.56 M ac-ft (0.6 M ac-ft Natural)
Average Oct-Nov total volume inflow = 0.11 M ac-ft (0.11 M ac-ft Natural)
Precip (in) Jan Feb Mar Apr May JunAverage 0.36 0.43 0.84 1.51 2.10 1.12
SWE (in) Jan Feb Mar Apr May JunAverage 5.65 7.61 9.48 11.87 11.42 4.79
BUILDING STRONG®
Boysen
0.00
0.20
0.40
0.60
0.80
1.00
1.20
Boysen1 Jan Forecast
Actual inflow Observed Natural Inflow
0.00
0.20
0.40
0.60
0.80
1.00
1.20
Boysen1 Feb Forecast
Actual inflow Natural Inflow Observed
0.00
0.20
0.40
0.60
0.80
1.00
1.20
Boysen1 Mar Forecast
Actual inflow Natural Inflow Observed
0.00
0.20
0.40
0.60
0.80
1.00
1.20
Boysen1 Apr Forecast
Actual inflow Natural Inflow Observed
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
Boysen1 May Forecast
Actual inflow Natural Inflow Observed
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
Boysen1 June Forecast
Actual inflow Natural Inflow Observed
Jan Feb Mar Apr May Jun Jul
R2 0.45 0.44 0.43 0.48 0.78 0.91 0.91Standard error: 0.17 0.17 0.17 0.17 0.14 0.10 0.09
BUILDING STRONG®
Glendo
Average monthly total precipitation (in)
Area = 15,562 mi2
Average Apr-Jul total volume inflow = 0.60 M ac-ft (0.88 M ac-ft Natural)0.14 M ac-ft below Alcova
Average Oct-Nov total volume inflow = 0.13 M ac-ft (0.09 M ac-ft Natural)0.03 M ac-ft below Alcova
Precip (in) Jan Feb Mar Apr May JunAverage 0.49 0.56 0.82 1.33 1.90 1.26
SWE (in) Jan Feb Mar Apr May JunAverage 8.66 12.26 15.74 19.44 19.07 8.92
BUILDING STRONG®
Glendo
0.000.200.400.600.801.001.201.401.601.802.00
Glendo1 Jan Forecast
Actual inflow Observed Natural Inflow
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
1.60
1.80
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Glendo1 Feb Forecast
Actual inflow Natural Inflow Observed
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
1.60
1.80
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Glendo1 Mar Forecast
Actual inflow Natural Inflow Observed
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
1.60
1.80
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Glendo1 Apr Forecast
Actual inflow Natural Inflow Observed
0.00
0.50
1.00
1.50
2.00
2.50
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Glendo1 May Forecast
Actual inflow Natural Inflow Observed
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
2005
2007
2009
2011
Glendo1 June Forecast
Actual inflow Natural Inflow Observed
Jan Feb Mar Apr May Jun Jun
R2 0.43 0.44 0.50 0.60 0.77 0.85 0.88Standard error: 0.43 0.42 0.40 0.35 0.27 0.22 0.20
BUILDING STRONG®
Percent Error
0500
1000150020002500300035004000
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Canyon Ferry
USACE Actual
0
20
40
60
80
100
120
140
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Clark Canyon
USACE Actual
Canyon FerryUSACE
Jan 39%Feb 43%Mar 44%apr 39%may 28%jun 24%
Clark CanyonJan 30%Feb 27%Mar 36%apr 20%may 18%jun 4%
TiberJan 55%Feb 53%Mar 46%apr 43%may 26%jun 27%
0
200
400
600
800
1000
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Tiber
USACE Actual
BUILDING STRONG®
Percent Error
*2011 Yellowtail forecast of Actual reservoir inflow for Apr – Jul (USACE and BoR)
USACE Forecast for May-Jul, includes holdouts from Boysen, Buffalo Bill and Bull Lake
0
500
1000
1500
2000
2500
3000
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Yellowtail - AMJJ Actual Inflow
USACE Actual BoR
0
500
1000
1500
2000
2500
3000
3500
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Yellowtail
USACE Actual
0
200
400
600
800
1000
1200
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Boysen
USACE Actual
YellowtailUSACE
Jan 53%Feb 54%Mar 58%apr 53%may 30%jun 2%
BoysenJan 36%Feb 45%Mar 45%apr 45%may 38%jun 2%
BUILDING STRONG®
Percent Error
0
50
100
150
200
250
300
350
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Glendo below Alcova
USACE Actual
0
500
1000
1500
2000
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Glendo
USACE Actual
0
500
1000
1500
2000
2500
Jan Feb Mar apr may jun
Inflo
w (K
AF)
Glendo with Holdouts
USACE Actual
GlendoJan 47%Feb 50%Mar 49%apr 42%may 29%jun 23%
Glendo below AlcovaJan 260%Feb 254%Mar 258%apr 242%may 277%jun 312%
Glendo Natural FlowJan 40%Feb 43%Mar 36%apr 23%may 4%jun 12%
BUILDING STRONG®
AutomationYellowtail Reservoir Forecasting Tool
To forcast for a given month enter data in the appropriately colored cells Jan Feb Mar Apr May JunCalculated values are shown in bold
Forecasted total volume inflow to reservoir May-Jul (10 6 ac-ft)
Jan Feb Mar Apr May Juneactual 1.086 1.036 0.978 1.056 0.948 1.169natural (with holdouts) 1.404 1.309 1.225 1.335 1.286 1.561
Total Antecedent Inflow from Oct-Nov
ac-ft 106 ac-ftactual 244780 0.245natural (with holdouts) 244780 0.245
Holdouts
30-Nov 1-Oct Oct-Novac-ft ac-ft ac-ft
Boysen 621834 639219 -17385Buffalo Bill 455551 483785 -28234Bull Lake Reservoirs 69623 65893 3730
Total Holdout -0.042 106 ac-ft
Precipitation stationsPrecipitation (in) http://cdo.ncdc.noaa.gov/dlyp/DLYPJan-Oct Nov Dec 2011 Jan Feb Mar Apr May June
Cody 481840 6.21 0.00 0.00 6.21 0.00 0.00 0.07 1.03 3.78Lander Hunt Fld AP 12.97 0.75 0.73 14.45 0.50 1.39 0.28 1.05 0.56Powell Fld Stn 4.34 0.52 0.18 5.04 0.00 0.96 0.12 0.67 3.41Riverton 10.11 0.14 0.60 10.85 0.24 0.75 0.08 0.21 5.29Worland 489785 0.84 0.52 0.25 1.61 0.14 0.12 0.42 0.57 1.31
Average 7.63 0.18 0.64 0.19 0.71 2.87Cumulative Average 0.18 0.82 1.01 1.72 4.59
Average of SWE at stations on first of month (in) Jan Feb Mar Apr May June
Average 7.7 10.2 12.2 15.7 20.2 20.5Col # 0.0 1.0 2.0 3.0 4.0 5.0
Blad Mtn. 56 10.1 16.0 19.3 24.0 32.1 41.1Bear Trap Meadow 57 3.3 5.5 6.3 8.8 11.4 7.5Blackwater 58 14.1 17.9 20.8 26.9 36.7 43.1Bone Springs Div 59 7.9 12.9 15.7 20.3 28.2 33.2Burroughs Creek 60 7.9 10.1 12.1 15.8 20.7 20.3
4/1/2011
PeriodMost
Probable% of
Normal1-Jan 1-Feb 1-Mar 1-Apr 1-May 1-Apr 1-May 1-Jun
Boysen May-July 524 94% 122% 111% 109% 108% 41%Canyon Ferry (actual) Apr-July 2162 116% 115% 113% 110% 116% 69%
Canyon Ferry (natural) (1) Apr-July 2250 115% 115% 113% 110% 116% 69%Clark Canyon Apr-June 115 137% 134% 136% 128% 139% 89%Glendo (actual) Apr-July 966 168% 147% 137% 134% 139% 112%
Glendo (natural) (1) Apr-July 1512 179% 147% 137% 134% 139% 112%Alcova to Glendo Apr-July 161 120% 112% 117% 116% 106% 112%Tiber Apr-July 454 108% 98% 105% 118% 123% 86%Yellowtail (actual) May-July 1056 109% 120% 118% 114% 118% 64%Yellowtail (natural) (1) May-July 1335 99% 120% 118% 114% 118% 64%
Reservoir Inflow Forecast (KAF) Basin Snowpack (% Normal) Precipitation (% Normal)
Goals:• Link regression equations, data and
statistics to final forecast sheet• Links to data sources (semi-automated)• Limit data entry and calculation errors• Easily transfer regression coefficients
each year• Easily transfer annual data to regression
analysis workbook
BUILDING STRONG®
2011 Issues
Late snowfall in April► Switched from 1 Apr SWE to Max(1 Apr, 1 May)
Real-time precipitation data ► Difficult to automate
Canyon Ferry results► Not capturing complete water balance by the end of the season
BUILDING STRONG®
Proposed Improvements to Inflow Forecasting
Daily estimates of forecasted inflow for monitoring► Need to automate regression analysis and data stream
Climate change impacts to regression analysis► Temperature appears to be increasing, Precipitation neither increasing
or decreasing► Changes in climate will reduce the accuracy of regressions over time► Limit data used in analysis to recent years rather than entire period of
record
BUILDING STRONG®
0.0E+00
5.0E+09
1.0E+10
1.5E+10
2.0E+10
2.5E+10
3.0E+10
7/10/1987 4/5/1990 12/30/1992 9/26/1995 6/22/1998 3/18/2001 12/13/2003 9/8/2006 6/4/2009
To
tal
bas
in S
WE
(m
3)
date
SWE IDW SWE IDW-elev SWE Average SSM/I NOHRSC
Proposed Improvements to Inflow Forecasting
Further investigation of better SWE estimation► Test in different basins► Field measurements to better understand distribution of snow
Canyon Ferry
BUILDING STRONG®
Proposed Improvements to Inflow Forecasting
Passive Microwave Satellite Observations of SWE in the Great Plains
► Algorithms developed in Great Plains region of Canada.► Shown promising results in Red River of the North Basins► Independent estimate of SWE, available real-time► Long period of record (1987 – present)► Evaluate by comparison to NOHRSC, ground and flight observations,
hydrologic analysis
BUILDING STRONG®
Proposed Improvements to Inflow Forecasting
Passive Microwave detection of snowmelt and runoff► Affected by presence of wet snow► Research into detection of “ripe” snow and rain-on-snow events► May provide information on timing of melt and flood forecasting
Hydrologic Analysis of Plains snowpack► Correlation between timing and volume to SWE in Plains to discharge► Terrain-state modeling ► Statistical analysis/rank-order
BUILDING STRONG®
Thank you