Modeling Patch Dynamics from Integration of Cellular Automata Simulation and Historical Air-photographs Analysis

Dynamics in nature are multi-faceted and difficult to follow. Computerized simulations offer new ways for investigating dynamic systems by incorporating their principle aspects . These simulations might be instrumental in discovering fundamental properties of dynamic systems such as duality between fragmentation and shape of changing patch patterns. Do fragmentation processes which occur over a range of scales, from planets to microecosystems, share a common geometrical evolution? Using remote sensing data and computerized simulation, we have formulated and assessed here the duality between geometrical properties of patch patterns. Fragmentation and shape, were found to be mutual and complementary in the way that they change, facilitating reconstruction of patch patterns from partial data over a wide range of natural phenomena. .