Trophic Network Analysis: Comparison of System-Wide Properties

Abstract Ecological network analysis provides various indices that serve as whole-system properties. Several attempts were made to assess system-level organizational measures and investigate the relationships between them. But the limitations in data availability associated with the difference in type of network models, their aggregation, currency, and timescale make direct comparisons of network properties complicated. To overcome this problem we compared seven empirical trophic networks of geographically close pastoral ecosystems. For comparative network analysis to be valid, the study food webs were similarly constructed with no difference in aggregation, currency, or timescale. We investigated the sensitivity and robustness in the relations between the following network analysis system-wide properties: degree of system connectance, link density, total system throughflow, cycling degree, ascendency, developmental capacity, indirect effects dominance, system aggradation, system synergism, and mutualism.

[1]  B. C. Patten,et al.  Complementarity of ecological goal functions. , 2001, Journal of theoretical biology.

[2]  C. Fonseca,et al.  Connectance : a role for community allometry , 1996 .

[3]  V. Christensen Ecosystem maturity - towards quantification , 1995 .

[4]  P. Yodzis,et al.  The connectance of real ecosystems , 1980, Nature.

[5]  Neo D. Martinez,et al.  Simple rules yield complex food webs , 2000, Nature.

[6]  R. Paine Road Maps of Interactions or Grist for Theoretical Development , 1988 .

[7]  M. T Brown,et al.  Embodied energy analysis and EMERGY analysis: a comparative view , 1996 .

[8]  Debal Deb,et al.  Scale-dependence of food web structures: tropical ponds as paradigm , 1995 .

[9]  B. C. Patten Environs: The Superniches of Ecosystems , 1981 .

[10]  Neo D. Martinez,et al.  Improving Food Webs , 1993 .

[11]  Wassily Leontief Input-Output Economics , 1966 .

[12]  Diego Garlaschelli,et al.  Universality in food webs , 2004 .

[13]  Neo D. Martinez Constant Connectance in Community Food Webs , 1992, The American Naturalist.

[14]  Robert E. Ulanowicz,et al.  Analysis of size and complexity of randomly constructed food webs by information theoretic metrics , 2005 .

[15]  Caner Kazanci,et al.  EcoNet: A new software for ecological modeling, simulation and network analysis , 2007 .

[16]  R. Ulanowicz Growth and development : ecosystems phenomenology , 1988 .

[17]  Neo D. Martinez,et al.  How do complex food webs persist in nature , 2005 .

[18]  G. Sugihara,et al.  Scale invariance in food web properties. , 1989, Science.

[19]  B. Hannon,et al.  The structure of ecosystems. , 1973, Journal of theoretical biology.

[20]  Stuart R. Borrett,et al.  Environ indicator sensitivity to flux uncertainty in a phosphorus model of Lake Sidney Lanier, USA , 2007 .

[21]  K. Havens,et al.  Scale and Structure in Natural Food Webs , 1992, Science.

[22]  Sven Erik Jørgensen,et al.  Structural dynamic model , 1986 .

[23]  B. Han,et al.  On several measures concerning flow variables in ecosystems , 1997 .

[24]  J. E. Cohen,et al.  Trophic links of community food webs. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[25]  Raymond L. Lindeman The trophic-dynamic aspect of ecology , 1942 .

[26]  Guido Caldarelli,et al.  Universal scaling relations in food webs , 2003, Nature.

[27]  Lael Parrott,et al.  Measuring ecological complexity , 2010 .

[28]  Paul A. Samuelson Economics: An Introductory Analysis , 1948 .

[29]  Louis-Félix Bersier,et al.  QUANTITATIVE DESCRIPTORS OF FOOD-WEB MATRICES , 2002 .

[30]  B. C. Patten,et al.  A progressive definition of network storage aggradation , 2002 .

[31]  Bernard C. Patten,et al.  Dominance of Indirect Causality in Ecosystems , 1989, The American Naturalist.

[32]  S. Borgatti,et al.  Defining and measuring trophic role similarity in food webs using regular equivalence. , 2003, Journal of theoretical biology.

[33]  Robert E. Ulanowicz,et al.  Role of network analysis in comparative ecosystem ecology of estuaries , 2005 .

[34]  Brian D. Fath,et al.  Network synergism: Emergence of positive relations in ecological systems , 1998 .

[35]  K. Winemiller Spatial and Temporal Variation in Tropical Fish Trophic Networks , 1990 .

[36]  Bjarke Fog,et al.  Paul Samuelson. Economics. An Introductory Mc Graw-Hill Book Co. New York. 1948. 622 s. $ 4.50. , 1949 .

[37]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[38]  Robert A. Herendeen,et al.  Energy intensities in ecological and economic systems , 1981 .

[39]  Brian D. Fath,et al.  Network mutualism: Positive community-level relations in ecosystems , 2007 .

[40]  Ernest W. Tollner,et al.  Cycling in ecosystems: An individual based approach , 2009 .

[41]  P. Warren Making connections in food webs. , 1994, Trends in ecology & evolution.

[42]  Brian D. Fath,et al.  Exergy, information and aggradation: An ecosystems reconciliation , 2006 .

[43]  Bernard C. Patten,et al.  Further aspects of the analysis of indirect effects in ecosystems , 1986 .

[44]  Robert R. Christian,et al.  Organizing and understanding a winter's seagrass foodweb network through effective trophic levels , 1999 .

[45]  M. Duijn,et al.  Software for social network analysis , 2005 .

[46]  B. C. Patten,et al.  Review of the Foundations of Network Environ Analysis , 1999, Ecosystems.

[47]  R. Macarthur Fluctuations of Animal Populations and a Measure of Community Stability , 1955 .

[48]  R. Ulanowicz An hypothesis on the development of natural communities. , 1980, Journal of theoretical biology.

[49]  Lael Parrott,et al.  Examining the potential effects of species aggregation on the network structure of food webs , 2007, Bulletin of mathematical biology.

[50]  W. Leontief Quantitative Input and Output Relations in the Economic Systems of the United States , 1936 .

[51]  S. C. Johnson Hierarchical clustering schemes , 1967, Psychometrika.

[52]  Brian D. Fath,et al.  A MATLABreg function for Network Environ Analysis , 2006, Environ. Model. Softw..

[53]  E. Odum The strategy of ecosystem development. , 1969, Science.

[54]  R. Christian,et al.  Comparison of nitrogen cycling in salt marsh zones related to sea-level rise , 2001 .

[55]  Robert E. Ulanowicz,et al.  Ascendency as an ecological indicator: a case study of estuarine pulse eutrophication , 2004 .

[56]  Charles C. Elton,et al.  The Ecology of Invasions by Animals and Plants. , 1959 .

[57]  Robert E. Ulanowicz,et al.  Aquatic Food Webs , 2005 .

[58]  Neo D. Martinez Scale-Dependent Constraints on Food-Web Structure , 1994, The American Naturalist.

[59]  Neo D. Martinez Artifacts or Attributes? Effects of Resolution on the Little Rock Lake Food Web , 1991 .

[60]  Stuart R. Borrett,et al.  Indirect effects and distributed control in ecosystems: Temporal variation of indirect effects in a seven-compartment model of nitrogen flow in the Neuse River Estuary, USA—Time series analysis , 2006 .

[61]  J. Finn,et al.  Measures of ecosystem structure and function derived from analysis of flows. , 1976, Journal of theoretical biology.

[62]  Robert A. Herendeen,et al.  Energy intensity, residence time, exergy, and ascendency in dynamic ecosystems , 1989 .

[63]  MARK R. GARDNER,et al.  Connectance of Large Dynamic (Cybernetic) Systems: Critical Values for Stability , 1970, Nature.

[64]  R. Margalef,et al.  On Certain Unifying Principles in Ecology , 1963, The American Naturalist.

[65]  John R. Schramski,et al.  Network environ theory, simulation, and EcoNet® 2.0 , 2011, Environ. Model. Softw..

[66]  B. C. Patten Environs: Relativistic Elementary Particles for Ecology , 1982, The American Naturalist.

[67]  Bernard C. Patten,et al.  Systems Approach to the Concept of Environment , 1978 .

[68]  R. May,et al.  Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[69]  Bruce Hannon,et al.  Linear dynamic ecosystems , 1985 .

[70]  Brian D. Fath,et al.  Network analysis applied to large-scale cyber-ecosystems , 2004 .

[71]  S. Jørgensen Integration of Ecosystem Theories: A Pattern , 1994, Ecology & Environment.

[72]  Martin G. Everett,et al.  Two algorithms for computing regular equivalence , 1993 .

[73]  Bernard C. Patten,et al.  Energy, emergy and environs , 1992 .