Return Flow Discussion ESHMC Meeting 6 March 2008 Presented by Stacey Taylor 1
Overview Bryce Contor’s slides Historical data analysis: – IESW007 (Big and Little Wood Rivers) – IESW054 (Richfield) Ongoing Snake River return data (groups) General conclusions 2
3 Current Calculation Method Diversions Returns Returns = b 1 * Diversions (one equation for each entity)
4 Alternate Methods Diversions Returns Returns = b o (one equation for each entity) Diversions Returns Returns = b o + b 1 * Diversions (one equation for each entity) Diversions Returns Returns = -b o + b 1 * Diversions) (one equation for each entity) Diversions Returns Returns = logarithmic function (one equation for each entity) Returns = exponential function (one equation for each entity) OR Alternate Method (1)Alternate Method (2) Alternate Method (3)Alternate Methods (4) and (5)
Raster Graphics Created several raster graphics to represent returns and diversions for IESW007 and IESW054 Different colors represent different diversions/returns. 5
Example Raster (1) 6 Water Year Month Oct.Sept Diversion 1,000 ac-ft
Example Raster (2) 7 Water Year Month Oct.Sept Diversion 1,000 ac-ft
Example Raster (3) 8 Water Year Month Oct.Sept Diversion 1,000 ac-ft
IESW007 Total Diversions (Big and Little Wood Rivers) 9 Water Year Month Diversion (1,000 ac-ft)
Return (1,000 ac-ft) Water Year Month IESW007 Total Returns (Big and Little Wood Rivers) 10
IESW054 Total Diversions (Richfield) 11 Diversion (1,000 ac-ft) Water Year Month
IESW054 Total Returns (Richfield) 12 Return (1,000 ac-ft) Water Year Month
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Cumulative Return vs. Cumulative Diversion IESW054 (Richfield) 16
What Caused the Change? Change in slope of cumulative plots – Possibly related to conversion to sprinklers – Calibration data shows percentage these increases: IESW007 – May 1980 to May 2002 sprinkler % increased from 14.7% to 28.0% (13% increase) IESW054 – May 1980 to May 2002 sprinkler % increased from 31.9% to 59.7% (28% increase) Aerial photography covering the area encompassed by both entities has been requested for 1969 and
Regression Analysis A regression analysis was performed on each set of data ( , , etc) P-values were found for each intercept and slope (95% confidence interval) Given shared ranges between each set of data, a general equation may describe both entities (IESW007 and IESW054) 18
IESW007 Intercepts and Slopes (Based on 95% CI) 19 Shared intercept range: to -3.67Shared slope range: to y = 0.02x – 3.70
IESW054 Intercepts and Slopes (Based on 95% CI) 20 No shared slope range between all sets; slope is negative Shared slope range: to y = 0.17x - ???
Ongoing Snake River Return Data Group data for were compared to IESW007 and IESW054 Plotted returns vs. diversions Plotted returns vs. normalized diversion (Normalized diversion = diversion/max diversion of single entity) Plotted normalized returns vs. normalized diversions 21
Returns vs. Diversions for Separate Entities 22
Returns vs. Normalized Diversion 23
Conclusions Current technique of assuming straight line plot with zero intercept may still be best (Returns = b 1 *Diversions) Slope (b 1 ) based on historical data OR lag factors (depends on which is available) Slope may be better estimated with inclusion of latest data 24
Discussion 25