Network optimization model implies strength of average mutual information in ascendency

Ecological Modelling

Volumn 179, Issue 3, 2004, Pages 373-392

  Latham II, Luke G ^a   Scully, Erik P ^b  

^a Agent Modeler Page   (United States)

^b TOWSON UNIVERSITY   (United States)

Author keywords

Ascendency; Average mutual information; Information theory; Network analysis; Structural dynamic model

Indexed keywords

ECOLOGICAL MODELING; FOOD WEB; NETWORK ANALYSIS;

EID: 4444367407     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2004.04.017     Document Type: Article

References (50)

1. Brewer, R., 1988. The Science of Ecology. Saunders College Publishing, Philadelphia, pp. 382-383, 922.
2. Bendoricchio G., Jørgensen S.E. Exergy as goal function of ecosystems dynamic. Ecol. Model. 102:1997;5-15
3. Christensen V. Emergy-based ascendency. Ecol. Model. 72:1994a;129-144
4. Christensen V. On the behavior of some proposed goal functions for ecosystem development. Ecol. Model. 75-76:1994b;37-49
5. Christensen V. Ecosystem maturity - toward quantification. Ecol. Model. 77:1995;3-32
6. Coffaro G., Bocci M., Bendoricchio G. Application of structural dynamic approach to estimate space variability of primary producers in shallow marine water. Ecol. Model. 102:1997;97-114
7. Fath B.D., Patten B.C., Choi J.S. Complementarity of ecological goal functions. J. Theor. Biol. 208:2001;493-506
8. Gallager, R.G., 1968. Information Theory and Reliable Communication. Wiley & Sons, New York.
9. Hirata H., Ulanowicz R.E. Information theoretical analysis of ecological networks. Int. J. Syst. Sci. 15(3):1984;261-270
10. Jørgensen S.E. Structural dynamic model. Ecol. Model. 31:1986;1-9
11. Jørgensen S.E. Use of models as experimental tool to show that structural changes are accompanied by increasing exergy. Ecol. Model. 41:1988;117-126
12. Jørgensen, S.E., 1992a. Integration of Ecosystem Theories: A Pattern. Kluwer, Dordrecht, Netherlands, p. 383.
13. Jørgensen S.E. Parameters, ecological constraints and exergy. Ecol. Model. 62:1992b;163-170
14. Jørgensen S.E. Development of models able to account for changes in species composition. Ecol. Model. 62:1992c;195-208
15. Jørgensen S.E. Review and comparison of goal functions in system ecology. Vie Milieu. 44:1994;11-20
16. Jørgensen S.E. State-of-the-art of ecological modelling with emphasis on development of structural dynamic models. Ecol. Model. 120:1999;75-96
17. Jørgensen, S.E., Logofet, D.O., Svirezhev, Y.M., 1995. Exergy principles and exergical ecosystems. In: Patten, B.C., Jørgensen, S.E. (Eds.), Complex Ecology, The Part-Whole Relation in Ecosystems. Prentice-Hall, Englewood Cliffs, NJ, pp. 585-608.
18. Jørgensen S.E., Patten B.C., Straškraba M. Ecosystems emerging: 4. Growth. Ecol. Model. 126:2000;249-284
19. Kruskal, J.B., Wish, M., 1978. Multidimensional Scaling. Sage Publications, Beverly Hills, CA.
20. Latham L.G., Scully E.P. Quantifying constraint to assess development in ecological networks. Ecol. Model. 154:2002;25-44
21. Lotka A.J. Contribution to the energetics of evolution. Proc. Natl. Acad. Sci. U.S.A. 8:1922;148-154
22. Mageau M.T., Costanza R., Ulanowicz R.E. Quantifying the trends expected in developing ecosystems. Ecol. Model. 112:1998;1-22
23. Manly, B.F.J., 1994. Multivariate Statistical Methods. Chapman & Hall/CRC, Washington, DC, pp. 215, 168-182.
24. Mann, K.H., Field, J.G., Wulff, F., 1989. Network analysis in marine ecology: an assessment. In: Wulff, F., Field, J.G., Mann, K.H. (Eds.), Coastal and Estuarine Studies, vol. 32, Springer-Verlag, New York, Chapter 12, pp. 266, 284.
25. Mather, P.M., 1976. Computational Methods of Multivariate Analysis in Physical Geography. John Wiley & Sons, London, p. 532.
26. Mauersberger P., Straškraba M. Two approaches to generalized ecosystem modelling: thermodynamic and cybernetic. Ecol. Model. 39:1987;161-169
27. McCune, B., Mefford, M.J., 1999. PC-ORD. Multivariate Analysis of Ecological Data, Version 4. MjM Software Design, Gleneden Beach, OR, USA.
28. Nielsen S.N. Strategies for structural dynamic modelling. Ecol. Model. 63:1992;91-101
29. Nielsen S.N. Modelling structural dynamical changes in a Danish shallow lake. Ecol. Model. 73:1994;13-30
30. Nielsen S.N. Optimization of exergy in a structural dynamic model. Ecol. Model. 77:1995;111-122
31. Nielsen S.N. Examination and optimization of different exergy forms in macrophyte societies. Ecol. Model. 102:1997;115-127
32. Odum E.P. The strategy of ecosystem development. Science. 164:1969;262-270
33. Odum H.T., Pinkerton R.C. Time's speed regulator: the optimum efficiency for maximum power output in physical and biological systems. Am. Sci. 43:1995;331-343
34. Patten B.C. Network integration of ecological extremal principles: exergy, emergy, power, ascendency, and indirect effects. Ecol. Model. 79:1995;75-84
35. Pimm S.L., Lawton J.H. Are food webs divided into compartments? J. Anim. Ecol. 49:1980;879-898
36. Rutledge R.W., Basore B.L., Mulholland R.J. Ecological stability: an information theory viewpoint. J. Theor. Biol. 57:1976;355-371
37. Salomonsen J. Examination of properties of exergy, power and ascendency along a eutrophication gradient. Ecol. Model. 62:1992;171-181
38. Shannon C.E. A mathematical theory of communication. Bell Syst. Technol. J. 27:1948;379-423
39. Shannon, C.E., Weaver, W., 1949. The Mathematical Theory of Communication. University of Illinois Press, Urbana.
40. Straškraba M. Cybernetic categories of ecosystem dynamics. ISEM J. 2:1980;81-96
41. Ulanowicz R.E. An hypothesis on the development of natural communities. J. Theor. Biol. 85:1980;223-245
42. Ulanowicz, R.E., 1986. Growth and Development, Ecosystems Phenomenology. Springer-Verlag, New York, p. 203.
43. Ulanowicz R.E. A phenomenology of evolving networks. Syst. Res. 6(3):1989;209-217
44. Ulanowicz, R.E., 1997. Ecology, the ascendent perspective. In: Allen, T.F.H., Roberts, D.W. (Eds.), Complexity in Ecological Systems Series. Columbia University Press, New York, p. 201.
45. Ulanowicz, R.E., 1998a. Network orientors: theoretical and philosophical considerations why ecosystems may exhibit a propensity to increase ascendency. In: Muller, F., Leupelt, M. (Eds.), Eco Targets, Goal Functions, and Orientors. Springer-Verlag, New York, pp. 177-192.
46. Ulanowicz R.E. A phenomenology of evolving networks. Syst. Res. 15:1998b;373-383
47. Ulanowicz R.E., Abarca-Arenas L.G. An informational synthesis of ecosystem structure and function. Ecol. Model. 95:1997;1-10
48. Ulanowicz R.E., Norden J.S. Symmetrical overhead in flow networks. Int. J. Syst. Sci. 21(2):1990;429-437
49. Ulanowicz R.E., Wolff W.F. Ecosystem flow networks: loaded dice? Math. Biosci. 103:1990;45-68
50. Weber B.H., Depew D.J., Dyke C., Salthe S.N., Ulanowicz R.E., Wicken J.S. Evolution in thermodynamic perspective: an ecological approach. Biol. Philos. 4:1989;373-405