====== Calc Similarity of Differences ====== 

===== Description =====

{{:submodels:submodel16.png?nolink|Submodel}} Calculate the minimum fuzzy similarity using maps of changes.  

===== Inputs =====

^ Name  ^ Type  ^ Description  ^
|  Initial Map   | [[categorical_map_type|Categorical Map]]  |  Initial map of simulation period.   |
| Observed Map  | [[categorical_map_type|Categorical Map]]  |  Observed (reference) Map.  |
| Simulated map  | [[categorical_map_type|Categorical Map]]  |  Simulated map.   |
| Use exponential decay   | [[boolean_value_type|Boolean Value]]  |  If true, the similarity is calculated using an exponential decay function truncated by the window size. Otherwise, a constant function is used within the specified window.   |
| Window size   | [[integer_value_type|Integer Value]]  |  Only odd number are accepted |
| Print Similarities   | [[boolean_value_type|Boolean Value]]  |  If true, print the values of the mean similarities on the application console.   |

===== Optional Inputs =====

^ Name  ^ Type  ^ Description  ^
|  Exponential Decay Divisor   | [[real_value_type|Real Value]]  |  Attenuation factor of the exponential decay function.   |

===== Outputs =====

^ Name  ^ Type  ^ Description  ^
|  Similarity  | [[table_type|Table]]  |  The minimum similarity.  |
| Similarity map | [[map_type|Map]] |  The minimum similarity map (map)  |

===== Notes =====

This operator calculates the map of differences between a initial map (first one of a time series) and an observed map (last one of a time series) and the differences between an initial map and a simulated map (the simulated one corresponding to the observed map). Then, these maps of differences are used by CalcReciprocalSimilarityMap to derive the minimum similarity value. All calculations are performed using a constant decay function.

===== Group =====

[[Functor List#Validation | Validation]]

===== Internal Name ===== 

CalcSimilarityofDifferences