====== Calc Net Transition Rates ======

===== Description =====

This submodel calculates gross transition rates for a time-period and specified number of time-steps and then derives the matrix of mean net transition rates.

===== Inputs =====

^ Name            ^ Type                                      ^ Description                                                     ^
| Initial Landscape | [[Categorical Map Type | Categorical Map]] | Map of classes or categories output from an execution pipeline. |
^ Name            ^ Type                                      ^ Description                                                     ^
| Final Landscape | [[Categorical Map Type | Categorical Map]] | Map of classes or categories output from an execution pipeline. |
^ Name ^ Type                                       ^ Description                  ^
| Number of time steps  | [[non_negative_integer_value_type|Non Negative Integer Value Type]] | Constant|

===== Outputs =====

^ Name ^ Type                                       ^ Description                  ^
| Mean Multiple Step Transition Matrix| [[transition_matrix|Transition Matrix]]  | Mean Multiple Step Transition Matrix |

===== Group =====

Calibration

===== Notes =====

Regardless matrix ergodicity, this functor calculates gross transition rates for a time-period and specified number of time-steps and then derives the matrix of mean net transition rates. Output transition matrix is an approximation of the multiple-step transition matrix at the order of 0.1% (for most cases) and thus can be used as input for multiple-step land change simulations.