L. Benda et T. Dunne, STOCHASTIC FORCING OF SEDIMENT SUPPLY TO CHANNEL NETWORKS FROM LANDSLIDING AND DEBRIS FLOW, Water resources research, 33(12), 1997, pp. 2849-2863
Sediment influx to channel networks is stochastically driven by rainst
orms and other perturbations, which are discrete in time and space and
which occur on a landscape with its own spatial variability in topogr
aphy, colluvium properties, and state of recovery from previous distur
bances. The resulting stochastic field of sediment supply interacts wi
th the topology of the channel network and with transport processes to
generate spatial and temporal patterns of flux and storage that chara
cterize the sedimentation regime of a drainage basin. The regime varie
s systematically with basin area. We describe how the stochastic sedim
ent supply is generated by climatic, topographic, geotechnical, and bi
otic controls that vary between regions. The general principle is illu
strated through application to a landscape where sediment is supplied
by mass wasting, and the forcing variables are deterministic thickenin
g of colluvium, random sequences of root-destroying wildfires, and ran
dom sequences of rainstorms that trigger failure in a population of la
ndslide source areas with spatial variance in topography and colluvium
strength. Landslides stop in channels or convert to scouring debris f
lows, depending on the nature of the low-order channel network. Sedime
nt accumulates within these channels for centuries before being transf
erred downstream by debris flows. Time series of sediment supply, tran
sport, and storage vary with basin scale for any combination of climat
ic, topographic, and geotechnical controls. In a companion paper [Bend
a and Dunne, this issue] we use simulations of timing, volumes, and lo
cations of mass wasting to study the interaction between a stochastica
lly forced sediment supply and systematic changes of storage and flux
through channel networks.