Defining and measuring trophic role similarity in food webs using regular equivalence

Journal of Theoretical Biology

Volumn 220, Issue 3, 2003, Pages 303-321

  Luczkovich, Joseph J ^a   Borgatti, Stephen P ^b   Johnson, Jeffrey C ^a   Everett, Martin G ^c  

^a EAST CAROLINA UNIVERSITY   (United States)

^b BOSTON COLLEGE   (United States)

^c UNIVERSITY OF GREENWICH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ECOLOGICAL MODELING; FOOD WEB; FUNCTIONAL GROUP; TROPHIC LEVEL;

ARTICLE; CONTROLLED STUDY; FOOD; FOOD WEB; GEOGRAPHY; MATHEMATICAL MODEL; NONHUMAN; PREDATOR; PREY; PRIORITY JOURNAL;

HALOPHILA; INSECTA; SARRACENIACEAE;

EID: 0037271432     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.2003.3147     Document Type: Article

References (42)

1. ADAMS, S. M., KIMMEL, B. L. & PLOSKEY, G. R. (1983). Sources of organic matter for reservoir fish production: a trophic-dynamics analysis. Can. J. Fish. Aquat. Sci. 40, 1480-1495.
2. BAIRD, D., LUCZKOVICH, J. J. & CHRISTIAN, R. R. (1998). Assessment of spatial and temporal variability in ecosystem attributes of the St. Marks National Wildlife Refuge, Apalachee Bay, Florida. Estuarine Coastal Shelf Sci. 47, 329-349, doi:10.1006/ecss.1998.0360.
3. BATAGELJ, V. & MRVAR, A. (1999). Pajek, version 0.83, available on-line at http://vlado.fmf.uni-lj.si/pub/networks/pajek.
4. BEAVER, R. A. (1985). Geographical variation in food web structure in Nepenthes pitcher plants. Ecol. Entomol. 10, 241-248.
5. BORGATTI, S. P. & EVERETT, M. G. (1989). The class of all regular equivalences: algebraic structure and computation. Soc. Networks 11, 65-88.
6. BORGATTI, S. P. & EVERETT, M. G. (1993). Two algorithms for computing regular equivalence. Soc. Networks 16, 43-55.
7. BORGATTI, S. P., EVERETT, M. G. & SHIREY, P. (1990). LS sets, lambda sets, and other cohesive subsets. Soc. Networks 12, 337-357.
8. BORGATTI, S. P., EVERETT, M. G. & FREEMAN, L. (1999). UCINET V. Software for Social Network Analysis. Harvard, MA: Analytical Technologies.
9. BOYD, J. P. (1969). The algebra of group kinship. J. Math. Psychol. 6, 139-167.
10. CHRISTIAN, R. R. & LUCZKOVICH, J. J. (1999). Organizing and understanding a winter's seagrass foodweb network through effective trophic levels. Ecol. Model. 117, 99-124.
11. COHEN, J. E. & NEWMAN, C. M. (1985). A stochastic theory of community food webs. I. Models and aggregated data. Proc. R. Soc. London Biol. Sci. 224, 421-448.
12. COUSINS, S. H. (1985). Ecologists build pyramids again. New Sci. 106, 50-54.
13. COUSINS, S. H. (1987). The decline of the trophic level concept. Trends Ecol. Evol. 2, 312-316.
14. ELTON, C. S. (1927). Animal Ecology. London: Sidgwick and Jackson.
15. EVERETT, M. G. & BORGATTI, S. P. (1991). Role colouring a graph. Math. Soc. Sci. 21, 183-188.
16. EVERETT, M. G. & BORGATTI, S. P. (1994). Regular equivalence: General theory. J. Math. Soc. 19, 29-52.
17. EVERETT, M. G. & BORGATTI, S. P. (1996). Exact colorations of graphs and digraphs. Soc. Networks 18, 319-331.
18. GOLDWASSER, L. & ROUGHGARDEN, J. (1993). Construction and analysis of a large Caribbean food web. Ecology 74, 1216-1233.
19. GOODENOUGH, W. H. (1969). Rethinking "status" and "role": toward a general model of the cultural organization of social relationships. In Cognitive Anthropology (Tyler, S. A., ed.), pp. 311-330. New York: Holt, Rinehart, and Winston.
20. HIRATA, H. & ULANOWICZ, R. E. (1985). Information theoretical analysis of the aggregation and hierarchical structure of ecological networks. J. theor. Biol. 116, 321-341.
21. HOMANS, G. C. (1950). The Human Group. New York: Harcourt, Brace, and World.
22. HOMANS, G. C. (1961). Social Behavior: Its Elementary Forms. New York: Harcourt, Brace, and World.
23. HUTCHINSON, G. E. (1958). Concluding remarks. Cold Spring Harbor Symp. Quant. Biol. 22, 415-427.
24. JACCARD, P. (1900). Contribution au problame de l'immigration post-glaciaire de la flore alpine. Bull. Soc. Vaudoise Sci. Nat. 36, 87-130.
25. JACKSON, J. B. C., KIRBY, M. X., BERGER, W. H., BJORNDAL, K. J., BOTSFORD, L. W., BOURQUE, B. J., BRADBURY, R. H., COOKE, R., ERLANDSON, J., ESTES, J. A., HUGHES, T. P., KIDWELL, S., LANGE, C. B., LENIHAN, H. S., PANDOLFI, J. M., PETERSON, C. H., STENECK, R. S., TEGNER, M. J. & WARNER, R. H. (2001). Historical overfishing and the recent collapse of coastal ecosystems. Science 293, 629-638.
26. JOHNSON, J. C., BORGATTI, S. P., LUCZKOVICH, J. J. & EVERETT, M. G. (2001). Network role analysis in the study of food webs: an application of regular role coloration. J. Soc. Struct. 2, online: http://www.heinz.cmu.edu/project/INSNA/joss/index1.html.
27. JOHNSON, S. C. (1967). Hierarchical clustering schemes. Psychometrika 32, 241-253.
28. LINDEMAN, R. L. (1942). The trophic-dynamic aspect of ecology. Ecology 23, 399-418.
29. LORRAIN, F. & WHITE, H. C. (1971). Structural equivalence of individuals in networks. J. Math. Soc. 1, 49-80.
30. LUCZKOVICH, J. J., WARD, G. P., JOHNSON, J. C., CHRISTIAN, R. R., BAIRD, D., NECKLES, H. & RIZZO, B. Determining the trophic guilds of fishes and macroinvertebrates in a seagrass food web. Estuaries, in press.
31. MAYHEW, B. (1980). Structuralism vs. individualism. Part 1: shadow boxing in the dark. Soc. Forces 59, 335-375.
32. MERTON, R. K. (1959). Social Theory and Social Structure. New York: Free Press.
33. NADEL, S. F. (1957). The Theory of Social Structure. New York: Free Press.
34. PERRSON, L., BENGTSSON, J., MENGE, B. A. & POWER, M. E. (1996). Productivity and consumer regulation F concepts, patterns, and mechanisms. In: Food Webs: Integration of Patterns and Dynamics. (Polis, G. & Winemiller, K. O., eds), pp. 396-434. Chapman & Hall. New York, NY, U.S.A.
35. ROOT, R. B. (1967). The niche exploitation pattern of the blue-gray gnatcatcher. Ecol. Monogr. 37, 317-350.
36. STARKE, P. H. (1972). Abstract Automata. Amsterdam: North Holland Publishing Company, Elsevier.
37. STILING, P. (2002). Ecology: Theories and Applications. Upper Saddle River, NJ: Prentice-Hall.
38. ULANOWICZ, R. E. (1986). Growth and Development: Ecosystems Phenomenology. New York: Springer-Verlag.
39. WHITE, H. C. (1963). An Anatomy of Kinship. Englewood Cliffs, NJ: Prentice-Hall.
40. WHITE, H. C. & REITZ, K. P. (1983). Graph and semigroup homomorphisms on networks of relations. Soc. Networks 5, 193-235.
41. YODZIS, P. (1988). The indeterminacy of ecological interactions as perceived through perturbation experiments. Ecology 69, 508-515.
42. YODZIS, P. & WINEMILLER, K. O. (1999). In search of operational trophospecies in a tropical aquatic food web. Oikos 87, 327-340.