Linear100

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Linear100 is a ModelTraits for the EUCS model which is similar to Mnl100 and Split100 with the exception that the SuitabilityData and DynamicNeighbourData are not transformed to 0..1 values and are combined directly, using the weighting factor \( W_j \). All factors (suitability and DynamicNeighbourhood) form a linear combination, which is more compatible with the hedonic pricing concept and what has been estimated with the linear regression, especially when the action of the shadow prices is considered. Since shadow prices augment the transition potentials and in the Linear100 model, the transition prices are defined as linear combination of weighted suitability factors, both the shadow prices and the weights could be related to a monetary unit.

Thus, the resulting Transition Potential \(TP_{ijt}\) for allocatable land unit \(i\), allocatable land use type \(j\) and time step \(t\) is defined as

  • if not \(Allow_{ijt}\) then \(-5[EUR/m^2]\)
  • if \(Allow_{ijt}\) then \((1-W_j)*v_{ij} + W_j * N_{ijt}\) with \(W_j\) is the j-th entry of the scenario parameter vector Neighbourhood/Weight.

\(Allow_{ijt}\) is based on the allowed matrix combined with age dependent bottom-up rules.

\(v_{ij}\) is defined directly as SuitabilityData_ij which means that values can become much lower than -5.

SuitabilityData_ij is defined by alloc1.txt as a linear combination of factor map data.

\(N_{ijt}\) is defined directly as DynamicNeighbourData_ijt.

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