Abstract
Information theory (IT) is predicated upon that which largely eludes physics – the absence of something. The capacity for IT to portray both presence and absence in comparable quantitative fashion makes it indispensable to ecology. IT has been applied to ecology along two separate lines: (1) it has been used to quantify the distribution of stocks and numbers of organisms and (2) it has been used to quantify the pattern of interactions of trophic processes. By and large, the first endeavor has resulted in relatively few insights into ecosystem dynamics and has generated much ambiguity and disappointment, so that most ecologists remain highly skeptical about the advisability of applying IT to ecology. By contrast, the second (and less well-known) application has shed light on the possibility that ecosystem behavior is the most palpable example of a purely natural “infodynamics” that transcends classical dynamics, but remains well within the realm of the quantifiable.
MSC2000 Primary 92B99; Secondary 94A17, 90B70, 93B52, 93D21, 49Q12.
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Notes
- 1.
The term entropy, chosen by Shannon, is retained only because of the ubiquity of its use. No relationship to thermodynamical entropy is implied thereby.
References
Abramson, N.: Information Theory and Coding. McGraw-Hill, New York (1963)
Bateson, G.: Steps to an Ecology of Mind. Ballantine Books, New York (1972)
Boltzmann, L.: Weitere Studien ueber das Waermegleichtgewicht unter Gasmolekuelen. Wien. Ber. 66, 275–370 (1872)
Brooks, D.R., Wiley, E.O.: Evolution as Entropy: Toward a Unified Theory of Biology. University Chicago Press, Chicago (1986)
Collier, J.D.: Intrinsic information. In: Hanson, P.P. (ed.) Information, Language and Cognition: Vancouver Studies in Cognitive Science, Vol. 1, pp. 390–409. University of British Columbia Press, Vancouver (1990)
Deacon, T.W.: Emergence: The hole at the wheel’s hub. In: Clayton, P., Davies, P. (eds.) The Re-emergence of Emergence: The Emergentist Hypothesis, pp. 111–149. Oxford University Press, London (2006)
Elsasser, W.M.: A form of logic suited for biology. In: Robert Rosen (ed.) Progress in Theoretical Biology, pp. 23–62. Academic Press, New York (1981)
Gardner, M.R., Ashby, W.R.: Connectance of large dynamic (cybernetic) systems: critical values for stability. Nature 228, 784–784 (1970)
Goerner, S.J., Lietaer, B., Ulanowicz, R.E., Gomez, R.: Quantifying economic sustainability: implications for free-enterprise theory, policy and practice. Ecol. Econ. 69, 76–81 (2009)
Hastings, H.M.: Stability of large systems. BioSystems 17, 171–177 (1984)
Hoffmeyer, J.: Signs of Meaning in the Universe. Indiana University Press, Bloomington, Indiana (1993)
Hoffmeyer, J.: Biosemiotics: Signs of Life and Life of Signs. University of Scranton Press, Scranton, Pennsylvannia (2008)
Holling, C.S.: The resilience of terrestrial ecosystems: local surprise and global change. In: Clark, W.C., Munn, R.E. (eds.) Sustainable Development of the Biosphere, pp. 292–317. Cambridge University Press, Cambridge, UK (1986)
Jørgensen, S.E., Fath, B.D., Bastianoni, S., Marques, J., Mueller, F., Nors-Nielsen, S., Patten, B.C., Tiezzi, E., Ulanowicz, R.E.: A New Ecology: Systems Perspective. Elsevier, Amsterdam (2007)
Lindeman, R.L.: The trophic-dynamic aspect of ecology. Ecology 23, 399–418 (1942)
MacArthur, R.: Fluctuations of animal populations, and a measure of community stability. Ecology 36, 533–536 (1955)
Margalef, R.: La teoria de la informacion en ecologia. Mem. Real Acad. Ciencias Artes Barcelona 32(13), 373–449 (1957)
Margalef, R.: Communication of structure in planktonic populations. Limnol. Oceanog. 6, 124–128 (1961)
May, R.M.: Stability and Complexity in Model Ecosystems, p. 235. Princeton University Press, Princeton, NJ (1973)
Odum, E.P.: Fundamentals of Ecology. Saunders, Philadelphia (1953)
Odum, E.P.: Fundamentals of Ecology, 2nd edn. Sanders, Philadelphia, PA (1959)
Odum, E.P.: The strategy of ecosystem development. Science 164, 262–270 (1969)
Odum, H.T., Pinkerton, R.C.: Time’s speed regulator: the optimum efficiency for maximum power output in physical and biological systems. Am. Sci. 43, 331–343 (1955)
Pahl-Wostl, C.: Information theoretical analysis of functional temporal and spatial organization in flow networks. Math. Comput. Modell. 16(3), 35–52 (1992)
Pielou. E.C.: An Introduction to Mathematical Ecology. Wiley-Interscience, New York (1969)
Rutledge, R.W., Basorre, B.L., Mulholland, R.J.: Ecological stability: an information theory viewpoint. J. Theor. Biol. 57, 355–371 (1976)
SCOPE: Ecosystem ascendancy and nutrient dynamics. SCOPE Newslett. 93, 4–5 (1999)
Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27, 379–423 (1948)
Simpson, E.H.: Measurement of diversity. Nature 163, 688 (1949)
Solé, R.V., Valverde, S.: Information theory of complex networks: On evolution and architectural constraints. Lect. Notes Phys. 650, 189–207 (2004)
Tilman, D., Downing, J.A.: Biodiversity and stability in grasslands. Nature 367, 363–365 (1994)
Tribus, M., McIrvine, E.C.: Energy and information. Sci. Am. 225, 179–188 (1971)
Ulanowicz, R.E.: An hypothesis on the development of natural communities. J. Theor. Biol. 85, 223–245 (1980)
Ulanowicz, R.E.: Ecology, the Ascendent Perspective. Columbia University Press, NY (1997)
Ulanowicz, R.E.: Life after Newton: An ecological metaphysic. BioSystems 50, 127–142 (1999)
Ulanowicz, R.E.: Toward the measurement of ecological integrity. In: Pimentel, D., Westra, L., Noss, R.F. (eds), Ecological Integrity: Integrating Environment, Conservation and Health, pp. 99–113. Island Press, Washington, DC (2000)
Ulanowicz, R.E.: Quantifying constraints upon trophic and migratory transfers in spatially heterogeneous ecosystems. In: Sanderson, J., Harris, L.D. (eds.) Series in Landscape Ecology: A Top-Down Approach, pp. 113–142. Lewis Publications, Boca Raton, FL (2000)
Ulanowicz, R.E.: Information theory in ecology. Comput. Chem. 25, 393–399 (2001)
Ulanowicz, R.E.: The balance between adaptability and adaptation. BioSystems 64, 13–22 (2002)
Ulanowicz, R.E., Abarca-Arenas, L.G.: An informational synthesis of ecosystem structure and function. Ecol. Model. 95, 1–10 (1997)
Ulanowicz, R.E., Baird, D.: Nutrient controls on ecosystem dynamics: The Chesapeake mesohaline community. J. Mar. Sci. 19, 159–172 (1999)
Ulanowicz, R.E., Goerner, S.J., Lietaer, B., Gomez, R.: Quantifying sustainability: resilience, efficiency and the return of information theory. Ecol. Complex. 6, 27–36 (2009)
Ulanowicz, R.E., Norden, J.: Symmetrical overhead in flow networks. Int. J. Syst. Sci. 21(2), 429–437 (1990)
Van Voris, P., O’Neill, R.V., Emanuel, W.R., Shugart, H.H. Jr.: Functional complexity and ecosystem stability. Ecology 61, 1352–1360 (1980)
Weber, B.H., Depew, D.J., Dyke, C., Salthe, S.N., Schneider, E.D., Ulanowicz, R.E., Wicken, J.S.: Evolution in thermodynamic perspective. Biol. Phil. 4, 373–405 (1989)
Wigner, E.P.: Statistical properties of real symmetric matrices with many dimensions. In: Proceedings of the Fourth Canadian Mathematical Congress, Toronto 174 (1959)
Woodwell, G.M., Smith, H.H.: Diversity and Stability in Ecological Systems, p. 22. U.S. Brookhaven Symp. Biol., NY (1969)
Zorach, A.C., Ulanowicz, R.E.: Quantifying the complexity of flow networks: How many roles are there? Complexity 8(3), 68–76 (2003)
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Ulanowicz, R.E. (2011). The Central Role of Information Theory in Ecology. In: Dehmer, M., Emmert-Streib, F., Mehler, A. (eds) Towards an Information Theory of Complex Networks. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4904-3_7
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