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 simulating_patterns_of_change [2020/07/16 01:16]argemiro simulating_patterns_of_change [2020/07/16 01:53] (current)argemiro Both sides previous revision Previous revision 2020/07/16 01:53 argemiro 2020/07/16 01:50 argemiro 2020/07/16 01:48 argemiro 2020/07/16 01:45 argemiro 2020/07/16 01:42 argemiro [Dinamica's Collection of Spatial Patterns of Change] 2020/07/16 01:39 argemiro [Dinamica's Collection of Spatial Patterns of Change] 2020/07/16 01:37 argemiro [Dinamica's Collection of Spatial Patterns of Change] 2020/07/16 01:35 argemiro 2020/07/16 01:18 argemiro 2020/07/16 01:16 argemiro 2020/07/16 01:13 argemiro 2020/07/16 01:01 argemiro 2020/07/16 00:58 argemiro 2020/07/16 00:54 argemiro 2020/07/16 00:54 argemiro 2020/07/16 00:50 argemiro 2020/07/16 00:50 argemiro 2020/07/16 00:45 argemiro 2020/07/16 00:44 argemiro 2020/07/16 00:43 argemiro 2020/07/16 00:31 argemiro 2020/07/16 00:28 argemiro 2020/07/16 00:19 argemiro 2020/07/16 00:18 argemiro 2020/07/16 00:17 argemiro 2020/07/16 00:10 argemiro created Next revision Previous revision 2020/07/16 01:53 argemiro 2020/07/16 01:50 argemiro 2020/07/16 01:48 argemiro 2020/07/16 01:45 argemiro 2020/07/16 01:42 argemiro [Dinamica's Collection of Spatial Patterns of Change] 2020/07/16 01:39 argemiro [Dinamica's Collection of Spatial Patterns of Change] 2020/07/16 01:37 argemiro [Dinamica's Collection of Spatial Patterns of Change] 2020/07/16 01:35 argemiro 2020/07/16 01:18 argemiro 2020/07/16 01:16 argemiro 2020/07/16 01:13 argemiro 2020/07/16 01:01 argemiro 2020/07/16 00:58 argemiro 2020/07/16 00:54 argemiro 2020/07/16 00:54 argemiro 2020/07/16 00:50 argemiro 2020/07/16 00:50 argemiro 2020/07/16 00:45 argemiro 2020/07/16 00:44 argemiro 2020/07/16 00:43 argemiro 2020/07/16 00:31 argemiro 2020/07/16 00:28 argemiro 2020/07/16 00:19 argemiro 2020/07/16 00:18 argemiro 2020/07/16 00:17 argemiro 2020/07/16 00:10 argemiro created Line 8: Line 8: * The capability of the **Dinamica EGO** to reproduce a wide range of spatial patterns of change; * The capability of the **Dinamica EGO** to reproduce a wide range of spatial patterns of change; \\ \\ - The combination of Dinamica'​s transition function presents numerous possibilities with respect to the generation and evolvement of spatial patterns of change. As a result, **Dinamica EGO** can be considered as a potential tool for the replication of dynamic landscape structures. The calibration of a simulated landscape can be achieved by a series of simulation using varying parameters. An approximated solution can be attained comparing landscape metrics, such as fractal index, patch cohesion index, nearest neighbor distance, and mean patch size, of the simulated maps with the ones of the reference landscape. + The combination of Dinamica'​s transition function presents numerous possibilities with respect to the generation and evolvement of spatial patterns of change. As a result, **Dinamica EGO** can be considered as a potential tool for the replication of dynamic landscape structures. The calibration of a simulated landscape can be achieved by a series of simulation using varying parameters. An approximated solution can be attained comparing ​[[tutorial:​landscape_metrics_in_dinamica_ego|landscape metrics]], such as fractal index, patch cohesion index, nearest neighbor distance, and mean patch size, of the simulated maps with the ones of the reference landscape. \\ \\ \\ \\ Line 16: Line 16: \\ \\ \\ \\ - I) The spatial arrangement of the simulated landscape needs to be approximated to the one of the reference landscape by defining the weights of evidence for the modeled transitions and thereby their transition probabilities maps; + I) The spatial arrangement of the simulated landscape needs to be approximated to the one of the reference landscape by defining the weights of evidence for the modeled transitions and thereby their transition probabilities maps (See more at [[tutorial:​building_a_land-use_and_land-cover_change_simulation_model|Building a land-use and land-cover change simulation model]]); \\ \\ \\ \\ - II) The reference landscape structure can be replicated by fine-tuning the parameters of the Dinamica'​s transition functions. ​ + II) The reference landscape structure can be replicated by fine-tuning the parameters of the Dinamica'​s transition functions ​([[patcher|Patcher]] and [[expander|Expander]]). \\ \\ \\ \\ Line 33: Line 33: \\ \\ \\ \\ - **H1:** The allocation process is set to form patches with a patch mean size of five cells, patch size variance is set to zero. Only the Patcher function is used. The Patcher isometry factor is set to zero, which means that the patches tend to be most linear as possible. + **H1:** The allocation process is set to form patches with a patch mean size of five cells, patch size variance is set to zero. Only the [[patcher|Patcher]] function is used. The Patcher isometry factor is set to zero, which means that the patches tend to be most linear as possible. \\ \\ \\ \\ - **H2:** The allocation process is set to form patches with a patch mean size of five cells, patch size variance is set to zero. Only the Patcher function is used. The Patcher isometry factor is set to 1 , the patches still take linear form, although shorter. + **H2:** The allocation process is set to form patches with a patch mean size of five cells, patch size variance is set to zero. Only the [[patcher|Patcher]] function is used. The Patcher isometry factor is set to 1 , the patches still take linear form, although shorter. \\ \\ \\ \\ - **H3:** The allocation process is set to form patches with a patch mean size of five cells,patch size variance is set to zero. Only the Patcher function is used. The Patcher isometry factor is set to 1 .5. Now the patches assume a more isometric form. + **H3:** The allocation process is set to form patches with a patch mean size of five cells,patch size variance is set to zero. Only the [[patcher|Patcher]] function is used. The Patcher isometry factor is set to 1 .5. Now the patches assume a more isometric form. \\ \\ \\ \\ - **H4:** Only the Expander function is used with patch mean size of 1 742 cells, which is tantamount to the expected number of transitions. Patch variance is set to 0. The Expander isometry factor is set to 1 .5. Notice the single patch produced around a cell of class 1 located at the center of the map. + **H4:** Only the Expander function is used with patch mean size of 1 742 cells, which is tantamount to the expected number of transitions. Patch variance is set to 0. The [[expander|Expander]]) isometry factor is set to 1 .5. Notice the single patch produced around a cell of class 1 located at the center of the map. \\ \\ \\ \\ - **H5:** The transition functions are used in a combination of 0.8 of Expander and 0.2 of Patcher. Patch mean size is set to 600 with patch size variance of 0. The isometry factor is set to 1 .5. Two more patches are produced around the expanded central cell. + **H5:** The transition functions are used in a combination of 0.8 of [[expander|Expander]] and 0.2 of [[patcher|Patcher]]. Patch mean size is set to 600 with patch size variance of 0. The isometry factor is set to 1 .5. Two more patches are produced around the expanded central cell. \\ \\ \\ \\ Line 54: Line 54: \\ \\ \\ \\ - The fractal dimension reveals the patch complexity. It is as a function of inner area in relation to the patch edge and varies from 1 to 2. Therefore, the fractal dimension is affected by the patch shape and size (Forman and Godron, 1986). According to McGarical and Marks (1995), the patch cohesion index gives an indication of the level of fragmentation of a landscape and thereby the habitat connectivity,​ thus large cohesion index indicates less fragmentation. In turn, the nearest neighbor distance shows the dispersion of patches in a landscape. + The fractal dimension reveals the patch complexity. It is as a function of inner area in relation to the patch edge and varies from 1 to 2. Therefore, the fractal dimension is affected by the patch shape and size (Forman and Godron, 1986). According to McGarical and Marks (1995), the patch cohesion index gives an indication of the level of fragmentation of a landscape and thereby the habitat connectivity,​ thus large cohesion index indicates less fragmentation. ​ \\ \\ \\ \\ - The next figure shows how these indices vary as a function of the patch mean size set in Dinamica patcher function. The results of the landscape indices show a predictable behavior, indicating that Dinamica can be set to replicate the structure of a reference landscape by fine-tuning the parameters of its transition functions. + <​note>​The nearest neighbor distance shows the dispersion of patches in a landscape.​ + \\ + \\ + The next figure shows how these indices vary as a function of the patch mean size set in Dinamica ​[[patcher|Patcher]] ​function. The results of the landscape indices show a predictable behavior, indicating that Dinamica can be set to replicate the structure of a reference landscape by fine-tuning the parameters of its transition functions. \\ \\ \\ \\ Line 63: Line 66: \\ \\ \\ \\ - **H6:** Transitions occur as a function of the spatial probability. ​DINAMICA ​sets up a spatial transition probability map for each transition, based on the weights of evidence chosen for specific ranges of each spatial variable stored in the static cube raster dataset. Simulation was run in 1 5 steps, with a rate of 0.005 per step. Only the Patcher function is used with patch mean size of 20 and patch size variance of 0. Patch isometry is equal to 2. + **H6:** Transitions occur as a function of the spatial probability. ​Dinamica ​sets up a spatial transition probability map for each transition, based on the weights of evidence chosen for specific ranges of each spatial variable stored in the static cube raster dataset. Simulation was run in 1 5 steps, with a rate of 0.005 per step. Only the Patcher function is used with patch mean size of 20 and patch size variance of 0. Patch isometry is equal to 2. \\ \\ - \\ The next figure depicts the static variable map, the calculated spatial transition probability map, and the simulated landscape. Notice the concentration of changed cells in the higher probability areas at the center of the map. + \\ + The next figure depicts the static variable map, the calculated spatial transition probability map, and the simulated landscape. Notice the concentration of changed cells in the higher probability areas at the center of the map. \\ \\ \\ \\ Line 71: Line 75: \\ \\ \\ \\ - DINAMICA ​can perform multiple transitions,​ up to 255 classes and 64770 transitions (255  ! 255). To test its ability in simulating multiple transitions,​ simulations from H7 to H9 are run for a transition matrix 6 by 6 with 5 transitions. + Dinamica ​can perform multiple transitions,​ up to 255 classes and 64770 transitions (255² - 255). To test its ability in simulating multiple transitions,​ simulations from H7 to H9 are run for a transition matrix 6 by 6 with 5 transitions. \\ \\ \\ \\ - **H7:** There is no spatial arrangement and no patch aggregation. Expander percentage is 0, patch mean size is 1 , and patch size variance is 0. Transitions take place randomly only obeying the amounts of change set by the transition matrix. Simulations are run for 1 0 time steps. + **H7:** There is no spatial arrangement and no patch aggregation. Expander percentage is 0, patch mean size is 1, and patch size variance is 0. Transitions take place randomly only obeying the amounts of change set by the transition matrix. Simulations are run for 1 0 time steps. \\ \\ \\ \\ Line 98: Line 102: === References === === References === + Soares-Filho et al, 2003. Simulating the spatial patterns of change through the use of the DINAMICA model. Anais XI SBSR. \\ + [[http://​citeseerx.ist.psu.edu/​viewdoc/​download?​doi=10.1.1.4.9617&​rep=rep1&​type=pdf]] + \\ + \\ + Wu, Jianguo. (2013). Landscape Ecology. 10.1007/​978-1-4614-5755-8_11. ​ + \\ + \\ + ☞[[:​guidebook_start| Back to Guidebook Start]] + +