Nonlinear Processes in Geophysics www.nonlin-processes-geophys.net 1023-5809 1607-7946 12 1 2005 10.5194/npg-12-31-2005 http://www.nonlin-processes-geophys.net/12/31/2005/ http://www.nonlin-processes-geophys.net/12/31/2005/npg-12-31-2005.html http://www.nonlin-processes-geophys.net/12/31/2005/npg-12-31-2005.pdf 31 40 2005-01-17 Discrete simulations of spatio-temporal dynamics of small water bodies under varied stream flow discharges B. S. Daya Sagar Faculty of Engineering and Technology, Melaka Campus, Multimedia University, Jalan Ayer Keroh Lama, 75450, Melaka, Malaysia Spatio-temporal patterns of small water bodies (SWBs) under the influence of temporally varied stream flow discharge are simulated in discrete space by employing geomorphologically realistic expansion and contraction transformations. Cascades of expansion-contraction are systematically performed by synchronizing them with stream flow discharge simulated via the logistic map. Templates with definite characteristic information are defined from stream flow discharge pattern as the basis to model the spatio-temporal organization of randomly situated surface water bodies of various sizes and shapes. These spatio-temporal patterns under varied parameters (&lambda;<i>s</i>) controlling stream flow discharge patterns are characterized by estimating their fractal dimensions. At various &lambda;<i>s</i>, nonlinear control parameters, we show the union of boundaries of water bodies that traverse the water body and non-water body spaces as geomorphic attractors. The computed fractal dimensions of these attractors are 1.58, 1.53, 1.78, 1.76, 1.84, and 1.90, respectively, at &lambda;<i>s</i> of 1, 2, 3, 3.46, 3.57, and 3.99. These values are in line with general visual observations.