Figure 3 . Sensitivity analysis of a river profile to different
spatial gradients in rainfall. a) Defines general domains of behavior
described in the sensitivity analysis shown in (b) – see text for
descriptions of different fields. Black star in (a) marks the initial
condition; note, initial conditions in panels (a) and (b) are different.
Top-heavy and bottom-heavy domains are separated by the 1:1 line. The
primary influence of different h values in Hack’s Law is on the
slope of Qf /Qi , as indicated. b)
Same as (a) but where the initial profile is adjusted to spatially
uniform P = 1.5 m/yr, and grey fields in (a) are colored by
magnitude of Δzsc (e.g., Figure
2). White stars show rainfall gradient scenarios explored in section 3
– Cases 3 & 4. Contours of Qf/Qi are shown in grey dashed lines, and contours ofRf /Ri in black dotted lines.