Multivariate comparison of trophic networks of grassland ecosystems

  • O. Y. Buzhdygan Freie Universität Berlin
  • S. S. Rudenko Chernivtsi National University
Keywords: ecological network analysis, , trophic networks, multivariate analysis, grassland ecosystems, system-wide network properties

Abstract

This article compares 13 network properties of food webs of 31 Ukrainian grasslands. The properties are: network size N, trophic link number L, trophic classes Cl, system connectance C, link density LD, total system throughflow TST, network cycling FCI, ascendency AS, developmental capacity DC, indirect effects dominance IE, system aggradation AI, system synergism SI, and mutualism MI. Our results show these properties are highly correlated and can be aggregated into the three latent factors. The first factor includes N, TST, AS, DC, SI, L, and LD, where network size N appears to be a central defining variable. The second latent factor includes FCI, AI, and Cl, and is driven by indirect effects dominance IE.  The third factor includes mutualism MI and connectance C, the last being the driving variable. Network Synergism SI is negatively correlated with the other network properties, while all others are positively intercorrelated. Network connectance appears to be a scale invariant property, while link density is highly sensitive to network size. Our data also show that network mutualism MI is more tied to the network complexity than simply to system scale or number of feeding links.

References

Bastianoni, S., Marchettini, N., 1997. Emergy/exergy ratio as a measure of the level of organization of systems. Ecological Modelling 99, 33–40.
Batagelj, V., Mrvar, A., 2010. Pajek. http://vlado.fmf.uni-lj.si/pub/networks/pajek/
Bersier, L.-F., Sugihara, G., 1997. Scaling regions for food web properties. Proc. Natl Acad. Sci. USA 94, 1247–1251.
Borgatti, S. P., Everett, M. G., 1993. Two algorithms for computing regular equivalence. Social Networks 15, 361−376.
Borgatti, S. P., Everett, M. G., Freeman, L. C., 2002. UCINET VI. Software for Social Network Analysis. Natick, Analytic Technologies.
Borrett, S. R., 2013. Characterization of Topics in Network Ecology and the Community that Studies Them. Symposium in Honor of Bernard C. Patten «Systems Ecology: A Network Perspective & Retrospective». April 12–15, 2013. Athens, Georgia, USA.
Borrett, S. R., Fath, B. D., Patten, B. C., 2007. Functional integration of ecological networks through pathway proliferation. Journal of theoretical biology 245, 98–111.
Borrett, S. R., Osidele, O. O., 2007. Environ indicator sensitivity to flux uncertainty in a phosphorus model of Lake Sidney Lanier, USA. Ecological Modelling 200, 371–383.
Borrett, S. R., Salas, A. K., 2010. Evidence for resource homogenization in 50 trophic ecosystem networks. Ecological Modelling 221, 1710–1716.
Buzhdygan, O. Y., Patten, B. C., Kazanci, C., Ma, Q., Rudenko, S. S., 2012 (a). Dynamical and system-wide properties of linear flow-quantified food webs. Ecological Modelling 245, 176–184.
Buzhdygan, O. Y., Patten, B. C., Rudenko, S. S., 2012 (b). Trophic Network Analysis: Comparison of System-Wide Properties. In: Jordan, F., Jørgensen, S. E. (Eds.), Models of the Ecological Hierarchy. Elsevier, Oxford, UK, 181–199.
Cheslak, E. F., Lamarra, V. A., 1981. The residence time of energy as a measure of ecological organization. In: Mitsch, W. J., Bossermann, R. W., Klopatek, J. M. (Eds.), Energy and Ecological Modelling . Amsterdam. Elsevier, 591–600.
Christian, R. R., Luczkovich, J. J., 1999. Organizing and understanding a winter’s seagrass food web network through effective trophic levels. Ecological Modelling 117, 99–124.
Christian, R. R., Baird, D., Luczkovich, J., Johnson, J. C., Scharler, U. M., Ulanowicz, R. E., 2005. Role of network analysis in comparative ecosystem ecology of estuaries. In: Belgrano, A., Scharler, U. M., Dunne, J., Ulanowicz, R. E. (Eds.), Aquatic Food Webs, An Ecosystem Approach. Oxford University Press Inc., New York, pp. 25–40.
Cohen, J. E., Briand, F., Newman, C. M., 1990. Community food webs: data and theory. Springer-Verlag, Berlin, Germany.
Cohen, J. E., 1978. Food webs and niche space. Princeton University Press, Princeton, New Jersey, USA.
Cohen, J. E., Briand, F., 1984. Trophic links of community food web. Proceedings of the National Academy of Sciences of the USA 81, 4105–4109.
Fath, B. D., 2004. Network analysis applied to large-scale cyber-ecosystems. Ecological Modelling 171, 329–337.
Fath, B. D., 2007. Network mutualism, positive community-level relations in ecosystems. Ecological Modelling 208, 56–67.
Fath, B. D., Borrett, S. R., 2006. A MATLAB function for network environ analysis. Environ. Model. & Soft. 21, 375−405.
Fath, B. D., Patten, B. C., 1998. Network synergism, emergence of positive relations in ecological systems. Ecological Modelling 107, 127–143.
Fath, B. D., Patten, B. C., 1999. Review of the foundations of Network Environ Analysis. Ecosystems 2, 167–179.
Fath, B. D., Patten, B. C., 2001. A progressive definition of network aggradation. In: Ulgiati, S., Brown, M. T., Giampietro, M., Herendeen, R. A., Mayumi, K. (Eds.), Proceedings of the Second International Workshop on Advances in Energy Studies, Exploring Supplies, Constraints and Strategies. May 23–27, 2000, Porto Venere, Italy, 551–562.
Fath, B. D., Patten, B. C., Choi, J. S., 2001. Complementarity of ecological goal functions. Journal of theoretical biology 208, 493–506.
Fath, B. D., Scharler, U. M., Ulanowicz, R. E., Hannon, B., 2007. Ecological network analysis: network construction. Ecological Modelling 208, 49–55.
Finn, J. T., 1976. Measures of ecosystem structure and function derived from analysis of flows. Journal of theoretical biology 56, 363–80.
Finn, J. T., 1980. Flow Analysis of Models of the Hubbard Brook Ecosystem. Ecology 61, 562–571.
Fonseca, C. R, John, J. L., 1996. Connectance, a role for community allometry. Oikos 77, 353–358.
Gardner, M. R., Ashby, W. R., 1970. Connectance of large (cybernetic) systems, critical values for stability. Nature 228, 784.
Garlaschelli, D., 2004. Universality in food webs. The European Physical Journal B – Condensed Matter 38, 277–285.
Han, B., 1997. On several measures concerning flow variables in ecosystems. Ecological Modelling 104, 289–302.
Hannon, B., 1973. Structure of ecosystems. Journal of theoretical biology 41, 535–546.
Havens, K. E., 1992. Scale and structure in natural food webs. Science 257, 1107–1109.
Herendeen, R. A., 1981. Energy intensities in ecological and economic systems. Journal of theoretical biology 91, 607–620.
Herendeen, R. A., 1989. Energy intensity, residence time, exergy, and ascendency in dynamic ecosystems. Ecological Modelling 48 (1–2), 19–44.
Higashi, M., Patten, B. C., 1989. Dominance of indirect causality in ecosystems. The American Naturalist 133, 288−302.
Higashi, M., Patten, B. C., 1986. Further aspects of the analysis of indirect effects in ecosystems. Ecological Modelling 31, 69–77.
Johnson, S. C., 1967. Hierarchical clustering schemes. Psychometrika 32, 241−253.
Jørgensen, S. E., 1994. Review and comparison of goal functions in systems ecology. Vie Milieu 44, 11–20.
Jørgensen, S. E., 2002. Integration of Ecosystem Theories: A Pattern, third ed. Kluwer Academic Publishers, Dordrecht.
Jørgensen, S. E., Mejer, H. F., 1979. A holistic approach to ecological modelling. Ecological Modelling 7, 169–189.
Jørgensen, S. E., Patten, B. C., Straškraba, M., 1992. Ecosystems emerging: toward an ecology of complex systems in a complex future. Ecological Modelling 62, 1–27.
Kaiser, H. F., 1960. The application of electronic computers to factor analysis. Educational and Psychological Measurement 20, 141–151.
Kazanci, C., 2007. EcoNet: A new software for ecological modeling, simulation and network analysis. Ecological Modelling 208, 3–8.
Kazanci, C., Matamba, L., Tollner, E. W., 2009. Cycling in ecosystems: An individual based approach. Ecological Modelling 220, 2908–2914.
Lawler, L., 1978. A comment on randomly constructed model ecosystems. The American Naturalist 112, 445–447.
Link, J. S. 2002. Does food web theory work for marine ecosystems? Marine Ecology Progress Series 230, 1–9.
Lotka, A. J., 1922. Contribution to the energetics of evolution. Proceedings of the National Academy of Sciences of the United States of America 8, 147–151.
Luczkovich, J. J., Borgatti, S. P., Johnson, J. C., Everett, M. G., 2003. Defining and Measuring Trophic Role Similarity in Food Webs Using Regular Equivalence. Journal of Theoretical Biology 220, 303–321.
Martinez, N. D. 1992. Constant connectance in community food webs. The American Naturalist. 139, 1208–1218.
Martinez, N. D., 1991. Artifacts or attributes? Effects of resolution on the Little Rock Lake food web. Ecological Monographs 61 (4), 367–392.
May, R. M., 1972 Will a large complex system be stable? Nature 238, 413–414.
May, R. M., 1973. Stability and complexity in model ecosystems. Princeton Univ. Press.
McCann, K. S., 2000. The diversity-stability debate. Nature 405, 228–33.
Morowitz, H. J., 1968. Energy Flow in Biology; Biological Organization as a Problem inthermal Physics. New York: Academic Press.
Morris, J. T., Christian, R. R., Ulanowicz, R. E., 2005. Analysis of size and complexity of randomly constructed food webs by information theoretic metrics. In: Belgrano, A., Scharler, U.M., Dunne, J., Ulanowicz, R. E. (Eds.), Aquatic Food Webs, An Ecosystem Approach. Oxford University Press Inc., New York, pp. 73–85.
Odum, E. P., 1953. Fundamentals of ecology. W. B. Saunders Coop., Philadelphia.
Odum, H. T., 1983. Systems Ecology: An Introduction. Wiley, New York.
Odum, H. T., 1988. Self-organization, transformity, and information. Science. 242, 1132–1139.
Onsager, L., 1931. Reciprocal relations in irreversible processes. Physical Review 38, 2265–2279.
Patrı́cio, J., Ulanowicz, R., Pardal, M. A., Marques, J. C., 2004. Ascendency as an ecological indicator: a case study of estuarine pulse eutrophication. Estuarine, Coastal and Shelf Science 60, 23–35.
Patten B. C. 2013. Systems Ecology and Environmentalism – Getting the Science Right: The Janus Hypothesis. Symposium in Honor of Bernard C. Patten «Systems Ecology: A Network Perspective & Retrospective». April 12–15, 2013, Athens, Georgia, USA.
Patten, B. C., 1978. Systems approach to the concept of environment. Ohio Journal of Science 78, 206–222.
Patten, B. C., 1981. Environs: the super niches of ecosystems. American Zoology 21, 845–852.
Patten, B. C., 1982. Environs: relativistic elementary particles for ecology. American Naturalist 119, 179–219.
Patten, B. C., 1984. Toward a theory of the quantitative dominance of indirect effects in ecosystems. Verh. Gesellschaft für Ökologie. 13, 271–284.
Patten, B. C., 1985. Energy cycling in the ecosystem. Ecological Modelling 28, 1–71.
Patten, B. C., 1991. Network ecology, indirect determination of the life-environment relationship in ecosystems. In: Higashi, M., Burns, T. P. (Eds.), Theoretical Studies of Ecosystems, The Network Perspective. Cambridge University Press, New York, 288–351.
Patten, B. C., 1992. Energy, emergy and environs. Ecological Modelling 62, 29–69.
Patten, B. C., 1995. Network integration of ecological extremal principles: exergy, emergy, power, ascendency, and indirect effects. Ecological Modelling 79, 75–84.
Patten, B. C., Bosserman, R. W., Finn, J. T., Cale, W. G., 1976. Propagation of cause in ecosystems. In: Patten, B.C. (Ed.), Systems Analysis and Simulation in Ecology, vol. IV. Academic Press, New York, 457–579.
Patten, B. C., Fath, B. D., 1998. Environ theory and analysis: relations between aggradation, dissipation, and cycling in energy-matter flow networks at steady state. In: Ulgiati, S., Brown, M. T., Giampietro, M., Herendeen, R. A., Mayumi, K. (Eds.), Advances in Energy Studies: Energy Flows in Ecology and Economy. MUSIS Publisher, Rome, Italy, 483–497.
Patten, B. C., Higashi, M., Burns, T. P., 1990. Trophic dynamics in ecosystem networks: significance of cycles and storage. Ecological Modelling 51, 1–28.
Patten, B. C., in prep., Holoecology: The Unification of Nature by Network Indirect Effects.
Patten, B. C., Straškraba, M., Jørgensen, S. E., 1997. Ecosystems emerging: 1. conservation. Ecological Modelling 96, 221–284.
Patten, B. C., Fath, B. D., Chois, J. S., 2002a. Complex Adaptive Hierarchical Systems – background. In: Costanza, R. and Jorgensen, S. E. (Eds.), Understanding and Solving Environmental Problems in the 21st Century. Elsevier Science Ltd., London. 41–94.
Patten, B. C., Fath, B. D., Choi, J. S., 2002b. Complex Adaptive Hierarchical Systems – consensus. In: Costanza, R. and Jorgensen, S. E. (Eds.), Understanding and Solving Environmental Problems in the 21st Century. Elsevier Science Ltd., London. 95–99.
Pimm, S. L., 1991. Food web patterns and their consequences. Nature 350, 669–674.
Prigogine, I., 1955. Introduction to the Thermodynamics of Irreversible Processes. Wiley & Sons, New York.
Puzachenko, Y. G., 1989. Ecosystems in the critical state. Nauka, Moskow (in Russian).
Rossberg, A. G., Yanagi, K., Amemiya, T., Itoh, K., 2006. Estimating trophic link density from quantitative but incomplete diet data. Journal of theoretical biology 243, 261–72.
Samuelson, P. A., 1948. Economics: An Introductory Analysis. McGraw–Hill Book Co., New York.
Schneider, E. D., Kay, J. J., 1990. Life as a phenomenological manifestation of the second law of thermodynamics. Environment and Resource Studies. University of Waterloo, Canada.
Schramski, J. R, Kazanci, C, Tollner, E. W., 2010. Network environ theory, simulation and EcoNet 2.0. Environ. Model. Softw. 26, 419–428.
Shannon, C. E., 1948. A mathematical theory of communication. Bell System Technical Journal 27, 379–423.
Sugihara, G., Schoenly, K., Trombla, A., 1989. Scale invariance in food web properties. Science 245, 48–52.
Ulanowicz, R. E., 1980. An hypothesis on the development of natural communities. Journal of theoretical biology 85, 223–45.
Ulanowicz, R. E., 1983. Identifying the structure of cycling in ecosystems. Mathematical Biosciences 65, 219–237.
Ulanowicz, R. E., 1986. Growth and Development: Ecosystem Phenomenology. Springer-Verlag, New York.
Ulanowicz, R. E., 1997. Ecology, the Ascendant Perspective. Columbia University Press, New York.
Ulanowicz, R. E., 2004. A synopsis of quantitative methods for Ecological Network Analysis. Computational Biology and Chemistry, 28(5–6), 321–339.
Ulanowicz, R. E., Jorgensen, S. E., Fath, B. D., 2006. Exergy, information and aggradation: An ecosystems reconciliation. Ecological Modelling 198, 520–524.
Winemiller, K. O., 1990. Spatial and temporal variation in tropical fish trophic networks. Ecological Monographs 60, 331–367.
Yodzis, P. 1980. The connectance of real ecosystems. Nature 284, 544–545.

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Published
2016-04-21
How to Cite
Buzhdygan, O., & Rudenko, S. (2016). Multivariate comparison of trophic networks of grassland ecosystems. Ecology and Noospherology, 27(1-2), 49-71. https://doi.org/https://doi.org/10.15421/031606