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Estimating nodal attractions with exogenous spatial interaction and impedance data using the gravity model
Author(s) -
Shen Guoqiang
Publication year - 1999
Publication title -
papers in regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.937
H-Index - 64
eISSN - 1435-5957
pISSN - 1056-8190
DOI - 10.1111/j.1435-5597.1999.tb00741.x
Subject(s) - node (physics) , gravity model of trade , impedance parameters , mathematics , algebraic number , flow (mathematics) , calibration , nodal , electrical impedance , matrix (chemical analysis) , cardinal point , attraction , econometrics , statistics , mathematical analysis , mathematical optimization , physics , geometry , economics , optics , acoustics , materials science , philosophy , quantum mechanics , international trade , composite material , linguistics , medicine , anatomy
. Unlike the conventional calibration of a gravity model in which nodal attractions are treated exogenously, this study treats the attraction of a node as an endogenous composite indicator of many contributing factors associated with the node and estimates the nodal attraction based upon exogenous spatial interaction (flow) and impedance data. An algebraic method is developed for the general N × N O‐D matrix and applied to a hypothetical 5 × 5 O‐D flow case. A theoretical discussion of utilizing regression to estimate the contributing factors of nodal attractions is also presented.