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Landscape Ecology

, Volume 3, Issue 3–4, pp 193–205 | Cite as

A hierarchical framework for the analysis of scale

  • R. V. O'Neill
  • A. R. Johnson
  • A. W. King
Article

Abstract

Landscapes are complex ecological systems that operate over broad spatiotemporal scales. Hierarchy theory conceptualizes such systems as composed of relatively isolated levels, each operating at a distinct time and space scale. This paper explores some basic properties of scaled systems with a view toward taking advantage of the scaled structure in predicting system dynamics. Three basic properties are explored:

(1) hierarchical structuring, (2) disequilibrium, and (3) metastability. These three properties lead to three conclusions about complex ecological systems. First, predictions about landscape dynamics can often be based on constraints that directly result from scaled structure. Biotic potential and environmental limits form a constraint envelope, analogous to a niche hypervolume, within which the landscape system must operate. Second, within the constraint envelope, thermodynamic and other limiting factors may produce attractors toward which individual landscapes will tend to move. Third, because of changes in biotic potential and environmental conditions, both the constraint envelope and the local attractors change through time. Changes in the constraint structure may involve critical thresholds that result in radical changes in the state of the system. An attempt is made to define measurements to predict whether a specific landscape is approaching a critical threshold.

Keywords

hierarchy theory nonequilibrium thermodynamics catastrophe theory 

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Literature cited

  1. Allen, T.F.H. and Starr, T.B. 1982. Hierarchy: perspectives for ecological complexity. University of Chicago Press.Google Scholar
  2. Andrews, J.F. 1968. A mathematical model for continuous cultivation of microorganisms utilizing inhibitory substrates. Biotechnol. Bioeng. 10: 707–723.Google Scholar
  3. Bermudez, J. and Wagensberg, J. 1985. Microcalorimetric and thermodynamic studies of the effect of temperature on the anaerobic growth of Serratia marcescens in a minimal glucose-limited medium. J. Therm. Anal. 30: 1397–1402.Google Scholar
  4. Bermudez, J. and Wagensberg, J. 1986. On entropy production in microbiological stationary states. J. Theor. Biol. 122: 347–358.Google Scholar
  5. Bolin, B. 1970. The carbon cycle. Sci. Am. 223(3): 125–132.Google Scholar
  6. Borighem, G. and Vereecken, J. 1981. Model of a chemostat utilising phenol as inhibitory substrate. Ecol. Modell. 2: 231–243.Google Scholar
  7. Carpenter, S.R. and Kitchell, J.F. 1987. The temporal scale of variance in limnetic primary production. Am. Nat. 129: 417–433.Google Scholar
  8. Chi, C.T., Howell, J.A. and Pawlowsky, U. 1974. The regions of multiple stable steady states of a biological reactor with wall growth, utilizing inhibitory substrates. Chem. Eng. Sci. 29: 207–211.Google Scholar
  9. Crowley, T.J. and North, G.R. 1988. Abrupt climate change and extinction events in earth history. Science 240: 996–1002.Google Scholar
  10. DeAngelis, D.L. and Waterhouse, J.C. 1987. Equilibrium and nonequilibrium concepts in ecological models. Ecol. Monogr. 57: 1–21.Google Scholar
  11. Delcourt, H.R., Delcourt, P.A. and Webb, T. 1983. Dynamic plant ecology: the spectrum of vegetation change in space and time. Quat. Sci. Rev. 1: 153–175.Google Scholar
  12. Edmondson, W.T. 1944. Ecological studies of sessile Rotatoria. Part 1. Factors limiting distribution. Ecol. Monogr. 14: 31–66.Google Scholar
  13. Eldredge, N. 1985. Unfinished synthesis: biological hierarchies and modern evolutionary thought. Oxford University Press, New York.Google Scholar
  14. Fisher, S.G. and Likens, G.E. 1973. Energy flow in Bear Creek, New Hampshire: an integrative approach to stream ecosystem metabolism. Ecol. Monogr. 43: 421–439.Google Scholar
  15. Forman, R.T.T. and Godron, M. 1986. Landscape ecology. John Wiley and Sons, New York.Google Scholar
  16. Forrest, W.W. and Walker, D.J. 1962. Thermodynamics of biological growth. Nature 196: 990–991.Google Scholar
  17. Forrest, W.W. and Walker, D.J. 1964. Change in entropy during bacterial metabolism. Nature 201: 49–52.Google Scholar
  18. Gaudy Jr., A.F., Lowe, W., Rozich, A. and Colvin, R. 1988. Practical methodology for predicting critical operating range of biological systems treating inhibitory substrates. J. Water Pollut. Control Fed. 60: 77–85.Google Scholar
  19. Glansdorff, P. and Prigogine, I. 1971. Thermodynamic theory of structure, stability and fluctuations. Wiley Interscience, New York.Google Scholar
  20. Golley, F.B. 1960. Energy dynamics of a food chain of an old-field community. Ecol. Monogr. 30: 187–206.Google Scholar
  21. Haken, H. 1983. Synergetics: an introduction. 3rd ed. Springer-Verlag, Heidelberg.Google Scholar
  22. Hutchinson, G.E. 1958. Concluding remarks. Cold Spring Harbor Symp. on Quant. Biol. 22: 415–427.Google Scholar
  23. Hutchinson, G.E. 1965. The ecological theater and the evolutionary play. Yale University Press, New Haven, CT.Google Scholar
  24. Hutchinson, G.E. 1970. The chemical ecology of three species of Myriophyllum (Angiospermae, Haloragaceae). Limnol. Oceanogr. 15: 1–5.Google Scholar
  25. Jones, D.D. 1975. The application of catastrophe theory to ecological systems. RR-75–15. International Institute for Applied Systems Analysis, Laxenburg, Austria.Google Scholar
  26. Lindemann, R.L. 1942. The trophic-dynamic aspect of ecology. Ecology 23: 399–418.Google Scholar
  27. McGinnis, J.T., Golley, F.B., Clements, R.G., Child, G.I. and Duever, M.J. 1969. Elemental and hydrologic budgets of the Panamanian tropical moist forest. Bioscience 19: 697–700.Google Scholar
  28. Menhinick, E.F. 1967. Structure, stability, and energy flow in plants and arthropods in a Sericea lespedeza stand. Ecol. Monogr. 37: 255–272.Google Scholar
  29. Naveh, Z. and Lieberman, A.S. 1984. Landscape ecology: theory and application. Springer-Verlag, New York.Google Scholar
  30. Odum, H.T. 1957. Trophic structure and productivity of Silver Springs, Florida. Ecol. Monogr. 27: 55–112.Google Scholar
  31. O'Neill, R.V. 1988. Hierarchy theory and global change. In Scales and Global Change, pp. 29–45T. Edited by R. Rosswall, G. Woodmansee and P. Risser. John Wiley and Sons, New York.Google Scholar
  32. O'Neill, R.V. (in press). Perspectives in hierarchy theory. In Perspectives in Theoretical Ecology. Edited by R.M. May and J. Roughgarten. Princeton University Press, Princeton, NJ.Google Scholar
  33. O'Neill, R.V. and DeAngelis, D.L. 1981. Comparative productivity and biomass relations of forest ecosystems. In Dynamic Properties of Forest Ecosystems, pp. 411–449. Edited by D.E. Reichle. Cambridge University Press, Cambridge, UK.Google Scholar
  34. O'Neill, R.V., DeAngelis, D.L., Allen, T.F.H. and Waide, J.B. 1986. A hierarchical concept of ecosystems. Monographs in Population Biology 23. Princeton University Press, Princeton, NJ.Google Scholar
  35. Park, R.A., O'Neill, R.V., Bloomfield, J.A., Shugart, H.H., Booth, R.S., Goldstein, R.A., Mankin, J.B., Koonce, J.F., Scavia, D., Adams, M.S., Clesceri, L.S., Colon, E.M., Dettmann, E.H., Hoopes, J.A., Huff, D.D., Katz, S., Kitchell, J.F., Kohberger, R.C., LaRow, E.J., McNaught, D.C., Peterson, J.L., Titus, J.E., Weiler, P.R., Wilkinson, J.W., Zahorcak, C.S. 1975. A generalized model for simulating lake ecosystems. Simulation 23: 33–50.Google Scholar
  36. Pawlowsky, U., Howell, J.A. and Chi, C.T. 1973. Mixed culture biooxidation of phenol. III. Existence of multiple steady states in continuous culture with wall growth. Biotechnol. Bioeng. 15: 905–916.Google Scholar
  37. Pearson, O.P. 1964. Carnivore-mouse predation: an example of its intensity and bioenergetics. J. of Mammal. 45: 177–188.Google Scholar
  38. Pielou, E.C. 1972. Niche width and niche overlap: a method for measuring them. Ecology 53: 687–692.Google Scholar
  39. Pielou, E.C. 1977. Mathematical ecology. John Wiley and Sons, New York.Google Scholar
  40. Plant, R.E. and Kim, M. 1975. On the mechanism underlying bursting in the Aplysia abdominal ganglion R12 cell. Math. Biosci. 26: 357–375.Google Scholar
  41. Porter, W.P. and Gates, D.M. 1969. Thermodynamic equilibria of animals with environment. Ecol. Monogr. 39: 227–244.Google Scholar
  42. Prigogine, I. 1967. Introduction to thermodynamics of irreversible processes, 3rd ed. Wiley Interscience, New York. [English translation of work first published in French in 1947.]Google Scholar
  43. Reichle, D.E., O'Neill, R.V. and Olson, J.S. 1973. Modeling forest ecosystems. EDFB-IBP-73–7. Oak Ridge National Laboratory, Oak Ridge, TN.Google Scholar
  44. Rozich, A.F. and Gaudy Jr., A.F. 1985. Response of phenolacclimated activated sludge to quantitative shock loading. J. Water Pollut. Control Fed. 57: 795–804.Google Scholar
  45. Salthe, S.N. 1985. Evolving hierarchical systems: their structure and representation. Columbia University Press, New York.Google Scholar
  46. Satchell, J.E. 1971. Feasibility study of an energy budget for Meathop Woods. In Proceedings of the Symposium on Productivity of the Forest Ecosystems of the World. UNESCO, Paris.Google Scholar
  47. Schaarschmidt, B., Zotin, A.I., Brettel, R. and Lamprecht, I. 1975. Experimental investigation of the bound dissipation: change of the u-function during the growth. Arch. Microbiol. 105: 13–16.Google Scholar
  48. Schaarschmidt, B., Zotin, A.I. and Lamprecht, I. 1977. Quantitative relation between heat production and weight during growth of microbial cultures. In Applications of Calorimetry in Life Sciences, pp. 139–148. Edited by I. Lamprecht and B. Schaarschmidt (eds.), Walter de Gruyter, Berlin.Google Scholar
  49. Schindler, D.W. 1977. Evolution of phosphorus limitation in lakes. Science 195: 260–262.Google Scholar
  50. Schindler, D.W. 1978. Factors regulating phytoplankton production in the world's freshwaters. Limnol. Oceanogr. 23: 478–486.Google Scholar
  51. Schindler, J.E., Waide, J.B., Waldron, M.C. Hains, J.J., Schreiner, S.P., Freedman, M.L., Benz, S.L., Pettigrew, D.R., Schissel, L.A. and Clark, P.J. 1980. A microcosm approach to the study of biogeochemical systems. 1. Theoretical rationale. In Ecological Research, pp. 192–203. Edited by J.P. Giesy Jr. Symposium Series 52, CONF-781101, US Department of Energy, Washington, DC.Google Scholar
  52. Schoner, G. and Kelso, J.A.S. 1988. Dynamic pattern generation in behavioral and neutral systems. Science 239: 1513–1520.Google Scholar
  53. Steele, J.H., ed. 1978. Spatial pattern in plankton communities. Plenum Press, New York.Google Scholar
  54. Stent, G.S. 1978. Paradoxes of progress. W.H. Freeman, San Francisco.Google Scholar
  55. Stoward, P.J. 1962. Thermodynamics of biological growth. Nature 194: 977–978.Google Scholar
  56. Teal, J.M. 1957. Community metabolism in a temperate cold spring. Ecol. Monogr. 27: 283–302.Google Scholar
  57. Tikhonov, A.N. 1950. On systems of differential equations containing parameters. Mat. Sb. 27: 147–156 [in Russian].Google Scholar
  58. Tilly, L.J. 1968. The structure and dynamics of Cone Spring. Ecol. Monogr. 38: 169–197.Google Scholar
  59. Urban, D.L. and O'Neill, R.V. (in press). Mechanisms of avian demography: sensitivity, uncertainty, and scaling implications. Ecology.Google Scholar
  60. Vollenweider, R.A. 1975. Input-output models with special reference to the phosphorus loading concept in limnology. Schweiz. Z. Hydrol. 37: 53–84.Google Scholar
  61. Vollenweider, R.A. 1976. Advances in defining critical loading levels for phosphorus in lake eutrophication. Mem. Ist. Ital. Idrobiol. 33: 53–83.Google Scholar
  62. Weaver, W. 1948. Science and complexity. Am. Sci. 36: 537–544.Google Scholar
  63. Weinberg, G.M. 1975. An introduction to general systems thinking. John Wiley and Sons, New York.Google Scholar
  64. Weinberg, G.M. and Weinberg, D. 1979. On the design of stable systems. John Wiley and Sons, New York.Google Scholar
  65. Whittaker, R.H. 1961. Experiments with radiophosphorus tracer in aquarium microcosms. Ecol. Monogr. 31: 157–188.Google Scholar
  66. Wiens, J.A. (in press). Spatial scaling in ecology. Functional Ecology.Google Scholar
  67. Witkamp, M. and Frank, M.L. 1969. Cesium-137 kinetics in terrestrial microcosms. In Proceedings of the Second National Symposium on Radioecology. pp. 635–643. Edited by D.J. Nelson and F.C. Evans. CONF-670503. United States Atomic Energy Commission, Washington, DC.Google Scholar
  68. Worden, R.M. and Donaldson, T.L. 1987. Dynamics of a biological fixed film for phenol degradation in a fluidized-bed bioreactor. Biotechnol. Bioeng. 30: 398–412.Google Scholar
  69. Yano, T. and Koga, S. 1969. Dynamic behavior of the chemostat subject to substrate inhibition. Biotechnol. Bioeng. 11: 139–153.Google Scholar
  70. Zotin, A.I., Zotina, R.S. and Konoplev, V.A. 1978. Theoretical basis for a qualitative phenomenological theory of development. In Thermodynamics of biological processes, pp. 85–98. Edited by I. Lamprecht and A.I. Zotin. Thermodynamics of Biological Processes. Walter deGruyter, Berlin.Google Scholar

Copyright information

© SPB Academic Publishing bv 1989

Authors and Affiliations

  • R. V. O'Neill
    • 1
  • A. R. Johnson
    • 1
  • A. W. King
    • 1
  1. 1.Environmental Sciences DivisionOak Ridge National LaboratoryOak RidgeUSA

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