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Progress in Earth and Planetary Science
Fig. 5 | Progress in Earth and Planetary Science

Fig. 5

From: Simple stochastic cellular automaton model for starved beds and implications about formation of sand topographic features in terms of sand flux

Fig. 5

Simulation: long-term sand flux against the average sand thickness. As shown in Fig. 4, the sand flux asymptotically decreases until the time step is approximately 104, and then it becomes almost constant with only a small fluctuation. The bars indicate the standard deviation of the fluctuation (the length of each bar is 2σ), which is obtained from data sampled every 500 steps from 1 × 105 to 5 × 105 steps for 10 runs under the same conditions (except for small random differences in the initially almost flat bed). The sand thickness is equal to the number of compiled slabs. The sand flux is the number of transported sand slabs per unit width per unit time step

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