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Scientific Investigations Report 2007–5117

U.S. GEOLOGICAL SURVEY
Scientific Investigations Report 2007–5117

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Table 18. Akaike weights and supporting variables for evaluating models of lake level in relation to minimum July–August dissolved-oxygen concentration at Midnorth, Upper Klamath Lake, Oregon, 1990–2006.

[n=17 for all; +/-, the sign of the coefficient in the model, respectively; K, number of parameters in the model; RSS, residual sum of squares; AICc, Akaike information criterion; ∆i, AICi minus the minimum AICc for the set; wi, Akaike model weight; shading indicates the best fit model for each set]

Model +/- K RSS AICc i e(-0.5*∆i) wi
Lake level and peak chlorophyll-a
Median monthly lake level + 3 40.9 22.8 0.0 1.00 0.55
Peak chlorophyll-a concentration - 3 43.1 23.7 .9 .65 .35
Median monthly lake level and peak chlorophyll-a concentration +, + 4 40.7 26.2 3.4 .18 .10
Lake level and degree-days
Median monthly lake level + 3 40.9 22.8 0.0 1.00 0.55
Degree-days from April 1 to May 15 - 3 43.2 23.7 .9 .63 .35
Median monthly lake level and degree-days from April 1 to May 15 +, + 4 40.6 26.2 3.4 .19 .10
Lake level and water temperature
Median monthly lake level + 3 40.9 22.78 3.5 0.17 0.11
75th-percentile water temperature - 3 33.3 19.28 .0 1.00 .66
Median monthly lake level and 75th-percentile water temperature +, - 4 30.7 21.40 2.1 .35 .23
Lake level and Williamson River discharge
Median monthly lake level + 3 40.9 22.8 0.0 1.00 0.54
Cumulative Ocober–May Williamson River discharge - 3 43.2 23.7 .9 .63 .34
Median monthly lake level and cumulative October–May Williamson River discharge +, - 4 39.9 25.9 3.1 .22 .12
Lake level and wind speed
Median monthly lake level + 3 40.9 22.8 0.0 1.00 0.53
Median monthly wind speed + 3 42.8 23.6 .8 .68 .36
Median monthly lake level and median monthly wind speed +, + 4 39.9 25.8 3.0 .22 .11

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