Abstract
Besides the happy event and the long friendship explaining our meeting in a fully deterministic way, there are many other good reasons for recalling the links between geography and physics. Actually the mutual history of those two disciplines is already too long to be summarized in a short paper. Since the time where they collaborated in the same person, who could call himself together a physicist and a geographer, (and also an explorer in both senses!), like a Pierre-Louis Moreau de Maupertuis measuring the Terrestrial meridian, the relationships have been constant and diverse. Since about the middle of the XIXth century, when it emerged as an institutionalized discipline, geography has a long tradition of borrowing concepts and mathematical models from physical sciences.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Allen P. 1978 Dynamique des centres urbains. Sciences et Techniques, 50, 15–19.
Allen P.M., McGlade J.M. 1987 Evolutionary Drive: the Effect of Microscopic Diversity, Error Making, and Noise. Fondations of Physics, 17, 7, 723–738.
Alonso W., 1986 Gravity models. Harvard University, Center for Population Studies, Discussion Paper 86–9, 7 p.
Beguin H. Thisse J. 1979 An axiomatic approach to geographical space. Geographical Analysis, 325–341.
Berry B.J.L. Garrison W.L., 1958 Alternate Explanations of Urban rank-size relationships. Annals of the Association of American Geographers, 1, 83–91.
Brunet R. 1980 La composition des modèles dans l’analyse spatiale. L’Espace Géographique, 4.
Bunge W. 1962 Theoretical Geography. Lund Studies in Geography, serie C, 1.
Chapman G.P. 1970 The application of information theory to the analysis of population distribution in space. Economic Geography, 2, 317–331.
Chorley R.J. 1964 Geography and analogue theory. Annals of the Association of American Geographers, 127–137.
Curry L., 1964 The random spatial economy. Annals of the Association of American Geographers, 138–146.
Dendrinos D. Mullally H. 1985 - Urban Evolution. Oxford University Press.
Dendrinos D. Sonis M. 1990 Chaos and socio-spatial dynamics. New York, Springer Verlag.
Frankhauser P. 1991 Aspects fractals des structures urbaines. L’Espace Géographique, 1, 45–69.
Gibrat R. 1931 Les inégalités économiques. Paris, Sirey.
Gould P. 1985 - The geographer at work. London, Routledge.
Guérin F. Pumain D. 1990–150 ans de croissance urbaine. Economie et Statistique, 230, 5–16.
Haag G. 1992 -
Haggett P., 1990 The geographers’ art. Oxford, Blackwell.
Haken H., 1977 Synergetics, an introduction. Berlin, Springer.
Haran E.G.P. Vining D.R. 1973 On the implications of a stationary urban population for the size distribution of cities. Geographical Analysis, 4, 194–200.
Haynes K. E. - Fotheringham A.S., 1984 Gravity and Spatial interaction Models. Beverly Hills, CA, Sage, Scientific geography series 2.
Huberman B.A. ed 1988 The Ecology of Computation. New York, North Holland.
Isard W., 1956 Location and space economy.Cambridge, MIT Press.
Kohl J.H. 1841 Der Verkher und die Ansiedlungen der Menschen in ihrer Abhängigkeit des Gestaltung der Erdoberfläche. Dresden, Arnold.
Le Maistre 1692 - La Métropolitée
Levasseur E., 1889–92 - La population française, 3 vol.
Muller J.C. 1983 La cartographie des espaces fonctionnels. L’Espace Géographique, 2, 142–152.
Philbrick A.K. 1957 Principles of Areal Functions of Organization in Regional Human Geography. Economic Geography, 299–336.
Prigogine I., Stengers I., 1979 La nouvelle alliance. Paris, Gallimard.
Pumain D. 1982 La dynamique des villes. Paris Economica.
Pumain D. Sanders L. Saint-Julien T. 1989 - Villes et auto-organisation. Paris, Economica.
Quandt R.E. 1964 Statistical discrimination among alternate hypothesis and some economic regularities. Journal of Regional Science, 2, 1–23.
Quetelet, 1830
Ravenstein E.G., 1885 and 1889 - The laws of migration. Journal of the Royal Statistical Society, 48, 167–235, and 52, 241–305.
Reclus E., 1895 The Evolution of Cities. The Contemporary Review, 67, 246–264.
Reilly W.J., 1931 The law of retail gravitation. New York, W.J. Reilly Co.
Reynauld J., 1841 Villes, in l’Encyclopédie Moderne, Paris, Gosselin, VIII, 670–687.
Rimbert S. 1991 Cartographies. Paris, Hermès.
Robic M.C., 1982 Cent ans avant Christaller, une théorie des lieux centraux. L’Espace Géographique, number 2, 5–12.
Robic M.C. 1989 Perspectives temporelles sur l’émergence de quelques concepts de la géographie urbaine française. Sistemi Urbani, 3, 225–239.
Robson B. 1973 Urban growth, an approach. London, Methuen. Rosser J. B. 1991 -
Sanders L. 1992 Systèmes de villes et synergétique. Paris, Economica. Simon H. 1955–On a class of Skew Distributions. Biometrika, 425–440.
Steindl J. 1968 Size distributions in economics, in “International Encyclopedia of the Social Science”, vol. 14 ( Silks ed.) New York, Macmillan.
Steward J.Q., 1947 Suggested principles of “social physics”. Science, 106, 179–80.
Steward J.Q., 1948 Demographic gravitation: evidence and application. Sociometry 1, 31–58.
Stouffer S.A., 1940 Intervening opportunities: a theory relating mobility and distance. American Sociological Review, 5, 845–867.
Tobler W. R., 1976 The geometry of Mental Maps, in: Golledge R.G. ed, Spatial Choice and Spatial Behavior, Colombus, Ohio State University Press, 69–81.
Tobler W., 1979 -
de Vries J. 1984 European Urbanization. London, Methuen.
Weber A.F. 1899 The growth of cities in nineteenth century. New York, Macmillan.
Weidlich W., 1991 Physics and social sciences - the apporach of synergetics. Amsterdam, North Holland, Physic Reports, 204, 1, 163 p.
Weidlich W. Haag G., 1987 A dynamic phase transition model for spatial agglomeration processes. Journal of Regional Science, 529–569.
Willekens F., 1980 Entropy, multiproportionality adjustments and analysis of contingency tables. Sistemi Urbani, 2, 171–201.
Wilson A., 1969 Notes on some concepts in social physics. Papers of the Regional Science Association, 22, 159–193.
Wilson A., 1971 A family of spatial interaction models and associated developments. Environnement and Planning, 3, 255–282.
Wilson A. 1981 Catastrophe theory and bifurcation: applications to urban and regional systems. London, Croom Helm.
Woldenberg M.J. Berry B.J.L. 1967 Rivers and Central Places: Analoguous Systems? Journal of Regional Science, 129–139.
Zipf G.K., 1949 Human Behaviour and the Principe of Least Effort: an Introduction to Human Ecology. Cambridge, Addison—Wesley.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Pumain, D. (1992). Geography, Physics and Synergetics. In: Haag, G., Mueller, U., Troitzsch, K.G. (eds) Economic Evolution and Demographic Change. Lecture Notes in Economics and Mathematical Systems, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48808-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-48808-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56172-9
Online ISBN: 978-3-642-48808-5
eBook Packages: Springer Book Archive