Dynamic modelling on stream profile evolution based on cellular models
Received date: 2005-05-15
Revised date: 2005-09-27
Online published: 2006-04-15
Cellular automata(CA) are discrete, dynamical systems that are divided into small cells with each cell taking a certain state.The basic idea of cellular automata or extended cellular automata(cellular models) is to reduce a complex system using complex rules into something simpler.This paper discusses a one-dimensional cellular model for simulating river profile evolution.In the mode,channel is represented by a series of square cells which are linked one by one.The model is started by applying a "package" of water and sediment to the first cell.Erosion takes place as the water moves from each cell to its neighbors.Sediment is routed downstream according to a transport equation with the transport rate dependent on the elevation difference between two adjacent cells.The elevation of each cell will change depending on the difference between sediment input and output of a cell.When the "package" has been routed across the last cell,a new "package" is applied at the first location and the whole process is repeated.Rules used in the model are simple.When these rules are applied at small scales,the resulting profile has large-scale properties.For example,despite of the original form,the stream profile always tends to evolve to an equilibrium profile when keeping the water and sediment entering the first cell constant.It also showed that discharge has much effect on channel evolution.The channel prolongation causes the rise of the riverbed throughout the downstream.This study is a first step towards applying cellular models to complex geographical system modelling.
Key words： cellular automata; cellular models; stream profile; dynamic modelling
HUANG Chong, LIU Gao-huan . Dynamic modelling on stream profile evolution based on cellular models[J]. GEOGRAPHICAL RESEARCH, 2006 , 25(2) : 342 -349 . DOI: 10.11821/yj2006020019
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