A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation

被引:0
|
作者
Louis de Grange
Angel Ibeas
Felipe González
机构
[1] Diego Portales University,Industrial Engineering Department
[2] University of Cantabria,Department of Transport
来源
关键词
Gravity model; Hierarchical model; Spatial correlation; Maximum likelihood; Multi-objective optimization;
D O I
暂无
中图分类号
学科分类号
摘要
This study presents a hierarchical trip distribution gravity model that can accommodate various spatial correlation structures. It is formulated on the basis of the solution to an equivalent optimization problem, and its parameters are estimated using a sequential maximum likelihood procedure. We conclude that accounting for spatial correlation through a hierarchical structure incorporated into gravity-type trip distribution models significantly increases their explanatory and predictive powers and improves the results they generate for use in transportation system planning processes.
引用
收藏
页码:439 / 463
页数:24
相关论文
共 50 条
  • [1] A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation
    de Grange, Louis
    Ibeas, Angel
    Gonzalez, Felipe
    NETWORKS & SPATIAL ECONOMICS, 2011, 11 (03): : 439 - 463
  • [2] Hierarchical disparity estimation using spatial correlation
    Lin, CW
    Fei, EY
    Chen, YC
    IEEE TRANSACTIONS ON CONSUMER ELECTRONICS, 1998, 44 (03) : 630 - 637
  • [3] On the mathematical formulation and parameter estimation of the Norwegian Sea plankton system
    Broström, G
    Drange, H
    SARSIA, 2000, 85 (03): : 211 - 225
  • [4] INVERSE FORMULATION FOR BURGER MODEL PARAMETER ESTIMATION
    Dey, Arindam
    Basudhar, Prabir K.
    ADVANCES IN GROUND TECHNOLOGY AND GEO-INFORMATION, 2012, : 483 - 491
  • [5] Parameter Estimation of Spatial AR Model
    蒋继明
    数学进展, 1989, (03) : 377 - 380
  • [6] Parameter and State Estimation of a Mathematical Model of Carbohydrate Intake
    Olay-Blanco, A.
    Rodriguez-Linan, A.
    Quiroz, G.
    IFAC PAPERSONLINE, 2018, 51 (13): : 73 - 78
  • [7] A mathematical method for parameter estimation in a tumor growth model
    Knopoff, D.
    Fernandez, D.
    Torres, G.
    Turner, C.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (01): : 733 - 748
  • [8] A mathematical method for parameter estimation in a tumor growth model
    D. Knopoff
    D. Fernández
    G. Torres
    C. Turner
    Computational and Applied Mathematics, 2017, 36 : 733 - 748
  • [9] PARAMETER-ESTIMATION OF SPATIAL AR MODEL
    JIANG, JM
    CHINESE ANNALS OF MATHEMATICS SERIES B, 1991, 12 (04) : 432 - 444
  • [10] THE GRAVITY MODEL AND HIERARCHICAL SPATIAL SYSTEMS - THEORETICAL AND EMPIRICAL OBSERVATIONS
    NADER, GA
    CANADIAN GEOGRAPHER-GEOGRAPHE CANADIEN, 1983, 27 (01): : 73 - 81