Can the principle of Self-Organized Gradients Be Applied for Human Systems? A Case Study on Rural-Urban Interactions

Can the principle of Self-Organized Gradients Be Applied for Human Systems? A Case Study on Rural-Urban Interactions

Franziska Kroll Felix Müller 

Institute for the Conservation of Natural Resources, Christian-Albrechts University of Kiel, Germany

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The ecological gradient approach states that self-organized processes produce patterns of concentration profi les that can be distinguished into structural and functional gradients. Throughout the undisturbed development of such systems, certain attributes are regularly optimized. These ‘orientors’ can be used to characterize the state of open systems. H. Bossel has introduced a set of ‘basic orientors’, which can be applied as indicators and target functions of any self-organized system. In this paper we combine the gradient approach with the basic orientor concept to test if the principles of self-organization can also be used to describe human entities. The case studies utilized are representing several concentration profi les between urban and rural landscapes in Europe. These spatial gradients, which have been arising from long-term development of cities and their hinterlands, are assigned to the basic orientors’ existence, effectiveness, freedom of action, security, adaptability, and coexistence. The results show that in all cases the demanded patterns can be found, thus there are functional parallels between self-organizing processes in ecological and human systems. The basic orientor approach can be used to explain these patterns, i.e. to clarify the utility of the outcome of self-organized processes in nature and society.


 self-organizing systems, basic orientors, ecological gradients, rural-urban gradient, urbanization.


[1] Müller, F. & Kroll, F., Integrating ecosystem theories – gradients and orientors as outcomes of self-organized processes. International Journal of Design & Nature and Ecodynamics, 6(X), pp. 000–000, (in print), 2011.

[2] Müller, F. & Fath, B., The physical basis of ecological goal functions – an integrative discus-sion. Eco Targets, Goal Functions and Orientors, eds F. Müller & M. Leupelt, Springer: Berlin, pp. 269–285, 1998.

[3] Nicolis, G. & Prigogine, I., Self-Organisation In Nonequlibrium Systems: From Dissipative Structures To Order Through Fluctuations, Wiley-Interscience: New York, p.4, 1977.

[4] Prigogine, I., From Being To Becoming: Time and Complexity in the Physical Sciences,  Freeman: San Francisco, 1980.

[5] Odum, H.T., Self-Organisation, Transformity and Information. Science, 242(4882), pp. 1 132–1139, 1988. doi:

[6] Prigogine, I., The End of Certainty: Time, Chaos and the New Laws of Nature. Free Press: New York, 1997.

[7] Joergensen, S.E., B. Fath, S. Bastianoni, Marquez, J., Müller, F., Nielsen, S.N.,Patten, B., Tiezzi, E. & Ulanowicz, R., A New Ecology - The Systems Perspective. Elsevier Publishers: Amsterdam, 2007.

[8] Pulselli, R. & Tiezzi, E., City Out Of Chaos, WIT Press: Southampton, 2010.

[9] Bossel, H., Policy assessment and simulation of actor orientation for sustainable develop-ment. Ecological Economics, 34(X), pp.337–355, 2000. doi:

[10] Müller, F. & Leupelt, M., Eco Targets, Goal Functions, and Orientors. Springer-Verlag:  Berlin, 1998.

[11] Holling, C.S., Understanding the Complexity of Economic, Ecological, and Social Systems. Ecosystems, 4(X), pp. 390–405, 2001. doi:

[12] Müller, F., Gradients in ecological systems. Ecological Modelling, 108, pp. 3–21, 1998. doi:

[13] Allen, P. & Sanglier, M., Urban evolution, self-organisation and decision making. Environment and Planning A, 13, pp. 169–183, 1981. doi:

[14] Portugali, J., Self-organizing cities. Futures, 29(4/5), pp. 353–380, 1997. doi:http://dx.doi.


[15] Küppers, G., Der umgang mit unsicherheit: zur selbstorganisation sozialer systeme. Komplexe Systeme und nichtlineare Dynamik in Natur und Gesellschaft. Komplexitätsforschung in Deutschland auf dem Weg ins nächste Jahrhundert, ed. K. Mainzer, Springer: Berlin, pp. 348–372, 1999.

[16] Portugali, J., Self-organisation and the City, Springer: Heidelberg, 2000.

[17] Imada, T., Self-organisation and Society, Springer: Tokyo, 2008.

[18] Newman, P., Beatley, T. & Boyer, H., Resilient cities, Responding to Peak Oil and Climate Change, Island Press: Washington, 2009.

[19] Bossel, H., Deriving indicators of sustainable development. Environmental Modeling and  Assessment, 1, pp. 193–218, 1996. doi:

[20] Bossel, H., Ecological orientors: emergence of basic orientors in evolutionary  self-organization. Eco targets, goal functions and orientors, eds F. Müller & M. Leupelt, Springer, Berlin. pp. 19–33, 1998.

[21] Pumain, D. An evolutionary approach to settlement systems. New forms of urbanisation: beyond the rural-urban dichotomy, eds T. Champion, H. Graeme, Ashgate Publishing: Aldershot.

[22] Portugali, J., Notions concerning the nature of world urbanisation. Progress in Planning, 46(3), pp. 145–162, 1996. doi:

[23] Mumford, L., The Natural History of Urbanisation, In: Thomas W.L. (Eds.) Man’s Role in the Changing the Face of the Earth. University of Chicago Press, Chicago, 1956.

[24] Marti-Henneberg, J., Empirical evidence of regional population concentration in Europe, 18702000. Population Space and Place, 11(4), pp. 269–281, 2005. doi: psp.373

[25] UNPD, World Urbanisation Prospects: The 2005 Revision, United Nations Population Division: New York, 2005.

[26] Davis, M., Planet of Slums, Verso: London, 2006.

[27] Kraas, F., Megacities and global change: key priorities. Geographical Journal, 173(1) pp. 79–82, 2007.

[28] Cowgill, G.L., Origins and development of urbanism: archaeological perspectives. Annu. Rev. Anthropol, 33, pp. 525–49, 2004. doi: [29] Lösch, A., The Economics of Location, Yale University Press: New Haven, CN, 1954.

[30] Christaller, W., Central Places in Southern Germany, Prentice Hall: Englewood, Cliffs, NJ, 1966.

[31] Kroll, F. & Kabisch, N., The relation of diverging urban growth processes and demographic change along an rural-urban gradient. Population Space and Place, 2011. doi:http://dx.doi. org/10.1002/psp.653

[32] Kroll, F., Müller, F., Haase, D. & Fohrer, N., Rural-urban gradient analysis of ecosystem services supply and demand dynamics. Land Use Policy, 2011. doi: j.landusepol.2011.07.008

[33] German Federal Statistical Offi ce, Statistik lokal 2007, Daten für die Kreise, Kreisfreien Städte und Gemeinden Deutschlands, DVD, 2007.

[34] Statistical Offi ce Leipzig, Ortsteilkatalog 2006. Stadt Leipzig, Amt für Statistik und Wahlen, Leipzig, 2006.

[35] German Federal Environment Agency, DLR, DFD, CORINE Land Cover 2000. Daten zur Bodenbedeckung Deutschland, DVD, 2004.

[36] World Bank, World Development Indicators Online 2008. Available online:, 2008.

[37] Heston, A., Summers, R. & Aten, B., Penn World Table Version 6.2, Centre for International Comparisons of Production, Income and Prices at the University of Pennsylvania, Pennsylvania, 2006.

[38] Partzsch, D., Zum Begriff der Funktionsgesellschaft. Mitteilungen des Deutschen Verbandes für Wohnungswesen, Städtebau und Raumplanung, number IV, pp. 3–10, 1964.

[39] Weisz, H. & Steinberger, J.K., Reducing energy and material fl ows in cities. Current Opinion in Environmental Sustainability, 2, pp. 185–192, 2010. doi: j.cosust.2010.05.010

[40] Kennedy, C., Duddihy, J. & Engel-Yan, J., The changing metabolism of cities. Journal of  industrial ecology, 11(2), pp. 43–59, 2007. doi:

[41] German Federal Statistical Offi ce, Energieverbrauch der privaten Haushalte. Begleitmaterial zur Pressekonferenz 5, Berlin, November 2008.

[42] Gutman, P., Ecosystem services: foundations for a new rural-urban compact. Ecological Economics, 62, pp. 383–387, 2007. doi:

[43] Läpple, D., City and region in an age of globalisation and digitization, german. Journal of Urban Studies, 40(2), pp. 1–19, 2001.

[44] van den Berg L., Drewett R., Klaassen L.H., Rossi A. & Vijverberg C.H.T., Urban Europe: A Study of Growth and Decline. Pergamon Press: Oxford, 1982.

[45] Rienits, T. & Oswalt, P. (eds), Atlas of Shrinking Cities, Ostfi ldern: Hatje Cantz Verlag, 2006.

[46] Holling, C.S., The resilience of terrestrial ecosystems: local surprise and global change. Sustainable Development of the Biosphere, eds W.M. Clark & R.E. Munn, Cambridge University Press, Oxford, pp. 292–320, 1986.

[47] Tainter, J.A., Sustainability of complex societies. Futures, 27(4), pp. 397–407, 1995. doi:

[48] Grimm, N.B, Faeth, S.H., Golubiewski, N.E., Redman C.L., Wu, J., Bai, X. & Briggs, J.M., Global change and the ecology of cities. Science, 319(5864), pp. 756–760, 2008. doi:http://

[49] Ulrich, H. & Probst, G. Self-organisation and management of social systems, Springer:  Heidelberg, 1984. doi: