Spatial Structure and Spatial Interaction: A Review

This paper is a review of the literature of that area of spatial interaction which attempts to accommodate the affects of spatial structure. A brief history of this problem is presented, together with criticisms of suggested alternative solutions. Next, spatial interaction in a Christaller K = 3 hierarchy is outlined and its principal components evaluated. Finally, some tentative conclusions as well as several areas for subsequent research are mentioned.

[1]  Air travel, spatial structure, and gravity models , 1970 .

[2]  J. H. Niedercorn,et al.  AN ECONOMIC DERIVATION OF THE “GRAVITY LAW” OF SPATIAL INTERACTION: A FURTHER REPLY AND A REFORMULATION , 1972 .

[3]  B. Berry,et al.  Central places in Southern Germany , 1967 .

[4]  Gerald A. P. Carrothers An Historical Bedew of the Gravity and Potential Concepts of Human Interaction , 1956 .

[5]  H. Heide Migration models and their significance for population forecasts. , 1963, The Milbank Memorial Fund quarterly.

[6]  H. Glejser,et al.  A GRAVITY MODEL OF INTERDEPENDENT EQUATIONS TO ESTIMATE FLOW CREATION AND DIVERSION , 1969 .

[7]  Wendell Bell,et al.  Location and Space-Economy. , 1957 .

[8]  Josef D. Moorehead,et al.  The commodity flow gravity model: A theoretical reassessment , 1974 .

[9]  Brian J. L. Berry,et al.  CENTRAL PLACE STUDIES. A BIBLIOGRAPHY OF THEORY AND APPLICATIONS , 1962 .

[10]  Wesley H. Long,et al.  Distance, intervening opportunities, city hierarchy and air travel , 1971 .

[11]  Vedia F. Dökmeci,et al.  AN OPTIMIZATION MODEL FOR A HIERARCHICAL SPATIAL SYSTEM , 1973 .

[12]  M. Dacey ALTERNATIVE FORMULATIONS OF CENTRAL PLACE POPULATION , 1970 .

[13]  L. Curry A Spatial Analysis of Gravity Flows , 1972, The Random Spatial Economy and Its Evolution.

[14]  Alan Wilson,et al.  A statistical theory of spatial distribution models , 1967 .

[15]  Alan Wilson,et al.  A Family of Spatial Interaction Models, and Associated Developments , 1971 .

[16]  S. Stouffer Intervening opportunities: a theory relating mobility and distance , 1940 .

[17]  Martin J. Beckmann,et al.  CITY SIZE DISTRIBUTION IN A CENTRAL PLACE HIERARCHY: AN ALTERNATIVE APPROACH* , 1970 .

[18]  J. Ord,et al.  Evaluating the friction of distance parameter in gravity models , 1974 .

[19]  Gunnar Olsson CENTRAL PLACE SYSTEMS, SPATIAL INTERACTION, AND STOCHASTIC PROCESSES , 1967 .

[20]  J. H. Niedercorn,et al.  AN ECONOMIC DERIVATION OF THE “GRAVITY LAW” OF SPATIAL INTERACTION* , 1969 .

[21]  Amos H. Hawley,et al.  The Economics of Location. , 1955 .

[22]  Martin J. Beckmann,et al.  City Hierarchies and the Distribution of City Size , 1958, Economic Development and Cultural Change.

[23]  M. Dacey POPULATION OF PLACES IN A CENTRAL PLACE HIERARCHY , 1966 .

[24]  Gunnar Olsson,et al.  Distance and human interaction : a review and bibliography , 1965 .

[25]  J. B. Parr,et al.  CITY HIERARCHIES AND THE DISTRIBUTION OF CITY SIZE: A RECONSIDERATION OF BECKMANN'S CONTRIBUTION , 1969 .

[26]  F. Strodtbeck Equal Opportunity Intervals: A Contribution to the Method of Intervening Opportunity Analysis , 1949 .

[27]  Alan Wilson,et al.  Entropy in urban and regional modelling , 1972, Handbook on Entropy, Complexity and Spatial Dynamics.

[28]  Thomas Andrew Broadbent,et al.  A hierarchical interaction-allocation model for a two-level spatial system , 1971 .