The Calibration of Gravity, Entropy, and Related Models of Spatial Interaction:

作者: M Batty , S Mackie

DOI: 10.1068/A040205

关键词: Spatial interactionEntropy (information theory)Artificial intelligenceIterative and incremental developmentRate of convergenceFibonacci search techniqueGravity model of tradeApplied mathematicsSimplex algorithmMultivariate statisticsComputer science

摘要: This paper presents a methodology for deriving best statistics the calibration of spatial interaction models, and several procedures finding parameter values are described. The family models due to Wilson is first outlined, then some existing methods briefly reviewed. A procedure based on principle maximum-likelihood developed from work Hyman Evans, illustrated using example retail gravity model. Five solving equations outlined: simple first-order iterative process, Newton—Raphson method variables, multivariate Fibonacci search, search Simplex method, quadratic convergence, all tested compared. It appears that most efficient, this further in disaggregated residential location models.

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