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 determine_transition_matrix [2011/07/24 21:16]hermann [Group] determine_transition_matrix [2015/10/11 23:26] (current)admin Both sides previous revision Previous revision 2015/10/11 23:26 admin 2015/10/11 23:25 admin 2011/07/24 21:16 hermann [Group] 2011/05/11 22:16 hermann 2011/05/11 22:15 hermann 2011/05/11 22:14 hermann created Next revision Previous revision 2015/10/11 23:26 admin 2015/10/11 23:25 admin 2011/07/24 21:16 hermann [Group] 2011/05/11 22:16 hermann 2011/05/11 22:15 hermann 2011/05/11 22:14 hermann created Line 8: Line 8: ^ Name              ^ Type                                       ^ Description ​                               ^ ^ Name              ^ Type                                       ^ Description ​                               ^ - | Initial Landscape | [[Categorical Map Type|Categorical Map  ​]] | Initial map of land use and cover classes. | + | Initial Landscape | [[Categorical Map Type]] ​ | Initial map of land use and cover classes. | - | Final Landscape ​  | [[Categorical Map Type|Categorical Map  ​]] | Final map of land use and cover classes. ​  | + | Final Landscape ​  | [[Categorical Map Type]] ​ | Final map of land use and cover classes. ​  | - | Time Steps        | [[Positive ​Int Type|Positive Int  ​]]       ​| Number of time steps between initial and final landscape maps. Step can be any time unit, such as year, month, etc.  | + | Time Steps        | [[Positive ​Integer Value Type]] ​ | Number of time steps between initial and final landscape maps. Step can be any time unit, such as year, month, etc.  | ===== Output ===== ===== Output ===== ^ Name                   ^ Type                                           ^ Description ​                              ^ ^ Name                   ^ Type                                           ^ Description ​                              ^ - | Single Step Matrix ​    | [[Transition Matrix Type|Transition Matrix  ​]] | Transition matrix for the entire period. ​ | + | Single Step Matrix ​    | [[Transition Matrix Type]] ​ | Transition matrix for the entire period. ​ | - | Single Step Matrix ​    | [[Transition Matrix Type|Transition Matrix  ​]] | Transition matrix for the time step specified by the number of units that the time period is divided. ​ | + | Single Step Matrix ​    | [[Transition Matrix Type]] ​ | Transition matrix for the time step specified by the number of units that the time period is divided. ​ | ===== Group ===== ===== Group ===== Line 28: Line 28: Multi-step transition matrix only applies to an ergodic matrix, i.e. a matrix that possesses eigenvalues and vectors. Multi-step transition matrix only applies to an ergodic matrix, i.e. a matrix that possesses eigenvalues and vectors. - The transition matrix describes a system that changes over discrete time increments, in which the value of any variable in a given time period is the sum of fixed percentages of the value of the variables in the previous time period. The sum of fractions along the column of the transition matrix is equal to one. The diagonal Line of the transition matrix needs not to be filled in since it models the percentage of unchangeable cells. The transition rates are passed on to the model as a fixed parameter within a given phase. For DINAMICA, time step can comprise any span of time, since the time unit is only a reference parameter externally set. + The transition matrix describes a system that changes over discrete time increments, in which the value of any variable in a given time period is the sum of fixed percentages of the value of the variables in the previous time period. The sum of fractions along the column of the transition matrix is equal to one. The diagonal Line of the transition matrix needs not to be filled in since it models the percentage of unchangeable cells. The transition rates are passed on to the model as a fixed parameter within a given phase. For Dinamica, time step can comprise any span of time, since the time unit is only a reference parameter externally set. Line 78: Line 78: ... ... - The transition matrix is calculated for a time period. ​DINAMICA ​can also be run in multiple time steps. It is necessary for this purpose to derive the multiple time step transition matrix, as this is equivalent to the number of time steps in which the time period is divided. + The transition matrix is calculated for a time period. ​Dinamica ​can also be run in multiple time steps. It is necessary for this purpose to derive the multiple time step transition matrix, as this is equivalent to the number of time steps in which the time period is divided.