Feasibility of Fish Passage at Alameda Creek Diversion Dam

Appendix BArroyo Hondo – Alameda Creek Flow Model DevelopmentArroyo Hondo. The deterministic components of the 20 chosen models are expressed by the followingequations, where X are the Arroyo Hondo mean daily flows, and Y are the Alameda Creek mean daily flows.Model 1: Y =α+β × X⎧ β × X, if X ≤( φ−β)Model 2: ⎪Y = ⎨⎪δ+φ⎪⎩×−δX, if X >−δφ−β( )Model 3: ( ) ( ) 2× ×Y =β X 1,000 +δ X 1,0002 3Model 4: Y =β × ( X 1,000) +δ × ( X 1,000) +φ × ( X 1,000)2 3 4Model 5: Y =β × ( X 1,000) +δ × ( X 1,000) +φ × ( X 1,000) +γ × ( X 1,000)2 3 4 5Model 6: Y =β × ( X 1,000) +δ × ( X 1,000) +φ × ( X 1,000) +γ × ( X 1,000) +η × ( X 1,000)2 3 4 5 6Model 7: Y =β × ( X 1,000) +δ × ( X 1,000) +φ × ( X 1,000) +γ × ( X 1,000) +η × ( X 1,000) +ϕ × ( X 1,000)Model 8: Y =α× ( 1−exp( −β × X))Model 9: Y =α× X × exp( −β × Xδ)φModel 10:Model 11:Y =Y =α×X( 1+β×X )δα( 1+ exp( β−δ×X ))1φModel 12: Y =α× exp( −exp( β−δ × X))⎛ ⎛ βModel 13: Y 1 expX ⎞⎞=α−×−⎜⎟⎜ βδ⎟⎝ ⎝ ⎠⎠Model 14:φY =α−β× exp( −δ × X )Model 15:βY =α × XModel 16: Y =α+β × ln ( X +δ )ACDD Passage June 2009 Page B-3