A Spatial Interaction Model for Agricultural Uses

Author(s):  
J. Gonçalves ◽  
T. Dentinho
1979 ◽  
Vol 11 (5) ◽  
pp. 527-539 ◽  
Author(s):  
Irena Chudzyńska ◽  
Z Słodkowski

A mathematical model of urban spatial interaction based on the intervening-opportunities principle is discussed and its equilibria are studied. It is shown that, under natural assumptions, the number of equilibria is finite, and a mathematical criterion for distinguishing the equilibrium corresponding to reality is given.


2020 ◽  
Vol 12 (10) ◽  
pp. 4324
Author(s):  
Felipa de Mello-Sampayo

This manuscript develops a theoretical spatial interaction model using the entropy approach to relax the assumption of the deterministic utility function. The spatial healthcare accessibility improves as the demand for healthcare increases or the opportunity cost of traveling to and from healthcare providers decreases. The empirical application used different spatial econometric techniques and multilevel modeling to evaluate the spatial distribution of existing hospitals in Texas and their social and economic correlates. To control for spatial autocorrelation, spatial autoregressive regression models were estimated, and geographically weighted regression models examined potential spatial non-stationarity. The multilevel modeling controlled for spatial autocorrelation and also allowed local variation and spatial non-stationarity. The empirical analysis showed that healthcare accessibility was not stationary in Texas in 2015, with areas of poor accessibility in rural and peripheral areas in Texas, when using hospitals’ location and county data. The model of spatial interaction applied to healthcare accessibility can be used to evaluate policies aiming at the provision of health services, such as closures of hospitals and capacity increases.


1982 ◽  
Vol 14 (6) ◽  
pp. 823-837 ◽  
Author(s):  
B Harris ◽  
J-M Choukroun ◽  
A G Wilson

In previous research it has been shown that discrete changes in spatial patterns of supply in the production-constrained spatial-interaction model arise from changes in parameters such as α and β In this case, pattern changes are explored as a function of the given population distributions. This shows the existence of new kinds of critical points.


1992 ◽  
Vol 24 (8) ◽  
pp. 1077-1095
Author(s):  
Ye G Kantorovich

Two types of equilibrium models of urban spatial structures are considered. An equilibrium version of the production-constrained spatial interaction model involving zonal-capacity constraints on allocation is investigated. A model of equilibrium for interacting subsystems is defined (it is a generalisation of Nash equilibria and of some Lowry-type models) and connections between this model and Nash equilibria are investigated. An entropy-projection operator is used for equilibrium urban models with zonal-capacity constraints. Problems of uniqueness of an equilibrium and the convergence of the iterative computational process are studied for these models.


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