We have conducted extensive hydrologic simulation experiments in order to investigate how the flood scaling parameters in the power-law relationship Q(A)=αAθ, between peak-discharges resulting from a single rainfall–runoff event Q(A) and upstream area A, change as a function of rainfall, runoff coefficient (Cr) that we use as a proxy for catchment antecedent moisture state, hillslope overland flow velocity (vh), and channel flow velocity (vc), all of which are variable in space.

Ayalew, T.B., W.F. Krajewski, and R. Mantilla. “Connecting the power-law scaling structure of peak-discharges to spatially variable rainfall and catchment physical properties,” Advances in Water Resources, 71, pp. 32-43, 2014.