In: Geografický časopis, vol. 56, no. 3
Rok, strany: 2004, 173 - 185
spatial interaction modelling, entropy maximization
The spatial interaction model resulting from maximizing entropy subject to only marginal (row and column) flows is extremely simple since it does not contain any parameters requiring estimation. The deficiency of this model is, however, that it does not contain any variable representing the spatial separation of the origin zone i from the destination zone j. Such a variable is considered essential in spatial interaction modelling. The purpose of this paper is to design a model exhibiting the simplicity of this model and containing at the same time such a variable in the form of transportation cost, cij. The basic idea to achieve this lies in replacing Tij by the product Tij cij = Zij and dealing with this new variable, Zij, as with Tij; so the corresponding entropy objective function is defined and then maximized subject to only marginal (row and column) transportation costs. The resulting model exhibits the simplicity of the model mentioned above, but it estimates Zij, not Tij. Therefore, in order to estimate Tij, it is necessary to assume additionally that cij is known; then Tij = Zij /cij. If this operation is admissible, and the author finds it crucial for the model, then the final form of the model designed bears the structure of a spatial interaction model of gravity type. The purpose of this model is only to give first, preliminary estimates of interaction flows when one wants to avoid the estimation of model parameters, a procedure which sometimes may not be computationally simple.
Paulov, J. 2004. ON AN ESTIMATION OF INTERACTION FLOWS FROM TRANSPORTATION COSTS. In Geografický časopis, vol. 56, no.3, pp. 173-185. ISSN 0016-7193.
Paulov, J. (2004). ON AN ESTIMATION OF INTERACTION FLOWS FROM TRANSPORTATION COSTS. Geografický časopis, 56(3), 173-185. ISSN 0016-7193.