Abstract
Understanding the emergence and evolution of structure and pattern in natural and human systems is one of the most important, and complex questions that can be addressed. The transition from simply describing and mapping spatial patterns, to understanding how they emerge and how they can change over time has proved to be difficult. In general we can say that the latter questions did not even begin to receive a mathematical framework within which answers might be sought, until the study of dissipative structures (Nicolis and Prigogine, 1977, Prigogine, Herman and Allen, 1977) and synergetic systems (Haken, 1977) began some 15 years ago.
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References
Allen P.M., 1976, Darwinian Evolution and a Predator-Prey Ecology, Bulletin of Mathematical Biology, Vol 37., pp. 389–405.
Allen P.M., 1978, Dynamiques de Centres Urbains, Sciences et Techniques, No. 50, pp. 15–18.
Allen P.M., 1982, The Genesis of Structure in Social Systems: The Paradigm of Self-Organization, in Theory and Explanation in Archaeology, Academic press, New York.
Allen P.M., 1984, Self-Organization and Evolution in Urban Systems, (Cities and Regions as Non-linear Decision Systems, Crosby, ed.) AAAS Selected Symposia, 77, Westview Press, Boulder Colorado.
Allen P.M. Towards a new Science of Complex Systems, The Science and Praxis of Complexity, United Nations University Press, Tokyo.
Allen P.M., 1988, Evolution: Why the Whole is greater than the sum of its parts, in Ecodynamics, Springer Verlag, Berlin.
Allen P.M., 1990, Why the Future is not what it was, Futures, July/August, pp. 555–570.
Allen P.M. and M. Lesser, 1991, Evolutionary Human Systems: Learning, Ignorance and Subjectivity, Harwood, Chur, Switzerland.
Allen P.M. and M. Sanglier, 1979, Dynamic Model of growth in a Central Place System, Geographical Analysis, Vol 11, No 3.
Allen P.M. and M. Sanglier, 1981, Urban Evolution, Self-Organization and Decision Making, Environment and Planning A.
Allen P.M., G. Engelen and M. Sanglier, 1983, Self-Organizing Models in Human Systems, in Synergetics- From Microscopic to Macroscopic Order, Synergetics Series, Springer Verlag.
Allen P.M. and J.M. McGlade, 1987, Evolutionary Drive: The Effect of Microscopic Diversity, Error Making and Noise, Foundations of Physics, Vol.17, No.7, July.
Allen P.M. and J.M. McGlade, 1989, Optimality, Adequacy and the Evolution of Complexity, in Structure, Coherence and Chaos in Dynamical Systems, (Christiansen and Parmentier, eds.), Manchester University Press, Manchester.
Allen P.M. and J.M. McGlade, 1986, Dynamics of Discovery and Exploitation: the Scotian Shelf Fisheries, Canadian Journal of Fishing and Aquatic Science, Vol. 43, No. 6.
Allen P.M. and J.M. McGlade, 1987, Modelling Complex Human Systems: a Fisheries Example, European Journal of Operations Research, Vol. 30, pp. 147–167.
Allen P.M. and J.M. McGlade, 1987, Managing Complexity: a Fisheries Example, Report to the United Nations University, Tokyo.
Eigen M. and P. Schuster, 1979, The Hypercycle, Springer, Berlin. Gould P. and R. White, Mental Maps, Pengu in Books.
Haken H., 1977, Synergetics, Synergetics Series, Springer Verlag, Heidelberg.
Nicolis G. and I. Prigogine, 1977, Self-Organization in Non-Equilibrium Systems, Wiley Interscience, New York.
Prigogine I., P.M. Allen and Herman R., 1977, The Evolution of Complexity and the Laws of Nature, Goals for a Global Society, ( E.Laszlo, ed. ), Pergamon Press.
Prigogine I. and I. Stengers, 1987, Order out of Chaos, Bantam Books, New York.
Sanglier M. and P.M. Allen, 1989, Evolutionary Models of Urban Systems: an Application to the Belgian Provinces, Environment and Planning A, Vol. 21, pp. 477–498.
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© 1993 Springer-Verlag Berlin · Heidelberg
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Allen, P.M. (1993). Spatial Evolution in Complex Systems. In: Nijkamp, P., Reggiani, A. (eds) Nonlinear Evolution of Spatial Economic Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78463-7_8
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DOI: https://doi.org/10.1007/978-3-642-78463-7_8
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