Tj. Myers et S. Swanson, STOCHASTIC MODELING OF TRANSECT-TO-TRANSECT PROPERTIES OF GREAT-BASINRANGELAND STREAMS, Water resources research, 33(4), 1997, pp. 853-864
We developed a transect-to-transect stochastic model of stream width a
nd pools. The model included Markov chains for transect-to-transect tr
ansitions among pools, nonpools, and part pools, a two-parameter beta
distribution for pool fraction when the transect is a partial pool, an
d a two-parameter gamma distribution to model standardized widths. The
model accurately reproduced the mean and standard deviation of both w
idth and transect-based measures of pool area. However, the model smoo
thed the distributions thereby reducing the skewness of the observed d
ata. The physical tendency for streams to have very few transects that
are almost! but not totally, all pool or nonpool implies that stochas
tic models based on continuous distributions will have more density in
the tails than observed on the stream. The model represented odd-shap
ed empiric distributions of pool area which indicates it is very flexi
ble and can accurately model a variety of streams.