scholarly journals Impactos dos parâmetros em Modelos de Interação Espacial: uma discussão metodológica / Impacts of parameters in Spatial Interaction Models: a methodological discussion

2019 ◽  
Vol 29 (56) ◽  
pp. 179
Author(s):  
Paulo Fernando Braga Carvalho ◽  
Sandro Laudares ◽  
Diego Filipe Cordeiro Alves ◽  
Erick De Oliveira Faria

Interessantes aplicações dos dados espaciais são vistas em estudos de interação espacial que usam modelos matemáticos adaptados de outras ciências ou criados para contextos específicos e, em geral, os principais elementos nas expressões algébricas que representam esses modelos são: as distâncias entre as Unidades Espaciais Básicas (UEB) e a magnitude (massa) de cada UEB. O problema discutido neste trabalho é: ao usar diferentes atributos ou medidores de distância os resultados obtidos com a aplicação de modelos matemáticos de interação espacial podem provocar conclusões distintas? Neste estudo foi aplicado o Modelo Potencial para cálculo e avaliação do potencial de atração dos municípios da Mesorregião do Triângulo Mineiro/Alto Paranaíba. Os resultados deste trabalho mostram que a escolha de variáveis e a forma de medir distância provocam resultados com diferenças significativas dentro de um mesmo modelo matemático que lida com a interação espacial.Palavras–chave: Interação Espacial, Modelos, Métodos QuantitativosAbstract Interesting spatial data applications are seen in spatial interaction studies using mathematical models adapted from other sciences or created for specific contexts, and in general the main elements in the algebraic expressions representing these models are: the distances between the Basic Space Units (BSU) and the magnitude (mass) of each (BSU). The problem discussed in this work is: when using different attributes or distance metrics can the results obtained with the application of mathematical models of spatial interaction lead to different conclusions? In this study the Potential Model was applied to calculate and evaluate the attraction potential of the municipalities of the Triângulo Mineiro / Alto Paranaíba Meso-region. The results of this work shows that the choice of variables and the way of measuring distance causes results with significant differences within a same mathematical model that deals with the spatial interaction.Keywords: Spatial Interaction, Models, Quantitative Methods

1981 ◽  
Vol 13 (2) ◽  
pp. 217-224 ◽  
Author(s):  
J Ledent

This paper compares the system of equations underlying Alonso's theory of movement with that of Wilson's standard family of spatial-interaction models. It is shown that the Alonso model is equivalent to one of Wilson's four standard models depending on the assumption at the outset about which of the total outflows and/or inflows are known. This result turns out to supersede earlier findings—inconsistent only in appearance—which were derived independently by Wilson and Ledent. In addition to this, an original contribution of this paper—obtained as a byproduct of the process leading to the aforementioned result—is to provide an exact methodology permitting one to solve the Alonso model for each possible choice of the input data.


2013 ◽  
Vol 15 (3) ◽  
pp. 249-264 ◽  
Author(s):  
Giuseppe Arbia ◽  
Francesca Petrarca

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