Push-Pull Migration Laws
Annals of the Association of American GeographersPublished 1 March 1983
Guido Dorigo, Waldo Tobler
Citations297
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
ABSTRACT The mathematics of a push-pull model are shown to incorporate many of Ravenstein's laws of migration, to be equivalent to a quadratic transportation problem, and to be related to the mathematics of classical continuous-flow models. These results yield an improved class of linear spatial interaction models. Empirical results are presented for one country.
Keywords
Social SciencesEngineering
Economic GeographyA Computer Movie Simulating Urban Growth in the Detroit Region
9,591 Citations1970Waldo Tobler
NatureSimple mathematical models with very complicated dynamics
6,948 Citations1976Robert M. May
This is an interpretive review of first-order difference equations, which can exhibit a surprising array of dynamical behaviour, from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations.
Contemporary Sociology A Journal of ReviewsDiscrete Multivariate Analysis: Theory and Practice.
5,160 Citations1975James R. Beniger, Yvonne Bishop +4 more
Proceedings of the Institution of Civil EngineersROAD PAPER. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH.
2,151 Citations1952J G Wardrop
Journal of the American Statistical AssociationAn Exponential Family of Probability Distributions for Directed Graphs
1,143 Citations1981Paul W. Holland, Samuel Leinhardt
An exponential family of distributions that can be used for analyzing directed graph data is described, and several special cases are discussed along with some possible substantive interpretations.
Transportation ResearchA statistical theory of spatial distribution models
1,129 Citations1967Alan Wilson
Journal of Economic LiteratureResearch on Internal Migration in the United States: A Survey
1,090 Citations2016Michael J. Greenwood, Paul L. Burgess +2 more
SIAM Journal on Numerical AnalysisOn Direct Methods for Solving Poisson’s Equations
737 Citations1970B.L. Buzbee, Gene H. Golub +1 more
Some efficient and accurate direct methods are developed for solving certain elliptic partial difference equations over a rectangle with Dirichlet, Neumann or periodic boundary conditions.
The Annals of Mathematical StatisticsAn Iterative Procedure for Estimation in Contingency Tables
351 Citations1970Stephen E. Fienberg
Journal of the American Institute of PlannersAn Historical Review of the Gravity and Potential Concepts of Human Interaction
346 Citations1956Gerald A. P. Carrothers
An Historical Review of the Gravity and Potential Concepts of Human Interaction and its Applications to Planning in the 1950s is presented.
International Regional Science ReviewIntra- Urban Residential Mobility: A Review and Synthesis
322 Citations1977John M. Quigley, Daniel H. Weinberg
The Economic JournalBiproportional Matrices and Input Output Change.
260 Citations1971Maurice Peston, Mr Bacharach
IMA Journal of Applied MathematicsA General Quadratic Programming Algorithm
226 Citations1971R. Fletcher
Mathematics of ComputationOn the numerical solution of Helmholtz’s equation by the capacitance matrix method
137 Citations1976Włodzimierz Proskurowski, Olof B. Widlund
It is shown, that by an appropriate choice of the fast solver, the capacitance matrix can be generated quite inexpensively and a highly accurate solution can be obtained at an expense which grows no faster than that for a fast Laplace solver on a rectangle when the mesh size is decreased.
Progress in PlanningRecent research on migration and mobility: A review and interpretation
125 Citations1982William A. V. Clark
International Regional Science ReviewA Critical Review of the Development of the Gravity Model
116 Citations1979Chang-I Hua, Frank W. Porell
This paper analyzes and criticizes recent work on gravity models with respect to form, structure, derivation, and theoretical and methodological grounds.
Regional Science and Urban EconomicsReflections on gravity and entropy models
98 Citations1975Peter Nijkamp
American Journal of Public Health and the Nations HealthResearch Memorandum on Migration Differentials
93 Citations1939C. T. Pihlblad
Journal of Mathematical PsychologyA heuristic method for the comparison of related structures
89 Citations1981Lawrence J. Hubert, Reginald G. Golledge
Environment and Planning A Economy and SpaceA Mathematical Theory of Migration
81 Citations1978Waldo Tobler
Lecture notes in economics and mathematical systemsOptimal Spatial Interaction and the Gravity Model
79 Citations1980Sven Erlander
Environment and Planning A Economy and SpaceToward More Realistic Allocation in Location—Allocation Models: An Interaction Approach
73 Citations1978Michael J. Hodgson
Progress in PlanningMigration dynamics and labour market turnover
73 Citations1977David Gleave, M. Cordey‐Hayes
The Professional GeographerA BEHAVIORAL VIEW OF MOBILITY AND MIGRATION RESEARCH
58 Citations1980Reginald G. Golledge
Environment and Planning A Economy and SpaceTheoretical Issues in the Design of Population Mobility Models
48 Citations1973Peter A. Morrison
Environment and Planning A Economy and SpaceModeling out-Migration from Depressed Regions: The Significance of Origin and Destination Characteristics
41 Citations1980Gordon L. Clark, Kenneth P. Ballard
It is hypothesized that the actual out-migration decision process has two separate but interrelated stages—the decision to leave and the decision as to the destination.
Transportation ScienceA Framework for Constructing Network Equilibrium Models of Urban Location
41 Citations1980David E. Boyce
It is shown how several urban location models can be derived from the mathematical framework based on the network equilibrium problem by reinterpreting the zone-to-zone trip variable.
Environment and Planning A Economy and SpaceOn the Relationship between Alonso's Theory of Movement and Wilson's Family of Spatial-Interaction Models
24 Citations1981Jacques Ledent
Naval Research Logistics QuarterlyAn algorithm for solving the transportation problem when the shipping cost over each route is convex
23 Citations1959E. M. L. Beale
International Regional Science ReviewThe Functional Form of the Gravity Model
22 Citations1979James B. Kau, C. F. Sirmans
Environment and Planning A Economy and SpaceControlling Interregional Migration Processes of a Markovian Type
22 Citations1975Ross D. MacKinnon
A framework is suggested within which normative modelling strategies can be used to make simple dynamic migration models more relevant to policymakers.
Transportation ResearchLeast-squares estimation of trip distribution parameters
21 Citations1975Frank J. Cesario
Socio-Economic Planning SciencesDynamic frameworks for spatial models
20 Citations1972M. Cordey‐Hayes
Economic GeographyMigration and Economic Growth in the United States
14 Citations1982Richard L. Morrill, Michael J. Greenwood
Environment and Planning A Economy and SpaceAn Application of Economic Interaction Models to the Analysis of Spatial Effects of Economic Integration
10 Citations1980Johannes Bröcker
Transportation ResearchLeast-squares estimation of trip distribution parameters: A note
3 Citations1977Tom Wansbeek