Equivalence of throughflow- and storage-based environs

Abstract An environ is a within-system partition of the environment associated with each ecosystem component. The methodologies for calculating throughflow-based and storage-based environs have heretofore been considered quantitatively and qualitatively different. Below, we show, from the fundamental environ equations, that these two approaches are mathematically equivalent by proving the throughflow-storage-equivalence relationship, T E  =  S E . This implies that ecosystem flows of energy or matter to storage and throughflow are one and the same, differing only in storage delays (flow impedances) along the way in the storage case.

[1]  Stuart R. Borrett,et al.  Indirect effects and distributed control in ecosystems: Comparative network environ analysis of a seven-compartment model of nitrogen flow in the Neuse River estuary, USA—Time series analysis , 2007 .

[2]  Stuart R. Borrett,et al.  Indirect effects and distributed control in ecosystems Network environ analysis of a seven-compartment model of nitrogen flow in the Neuse River Estuary, USA-Steady-state analysis , 2006 .

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

[4]  Villy Christensen,et al.  ECOPATH II − a software for balancing steady-state ecosystem models and calculating network characteristics , 1992 .

[5]  Bernard C. Patten,et al.  Network trophic dynamics: the tempo of energy movement and availability in ecosystems , 1993 .

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

[7]  Patricia A. Flebbe.  Aquatic Carbon Cycle in Okefenokee Swamp Habitats: Environ Analysis , 1983 .

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

[9]  Sven Erik Jørgensen,et al.  Emergy, environ, exergy and ecological modelling , 1995 .

[10]  Peter Hippe,et al.  Environ analysis of linear compartmental systems: The dynamic, time-invariant case , 1983 .

[11]  Thomas B. Starr,et al.  Hierarchy: Perspectives for Ecological Complexity , 1982 .

[12]  Bernard C. Patten,et al.  ENERGY CYCLING IN THE ECOSYSTEM , 1985 .

[13]  R. Damé,et al.  Analysis of Energy Flows in an lntertidal Oyster Reef , 1981 .

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

[15]  B. C. Patten,et al.  Systems Analysis and Simulation in Ecology , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[16]  Robert W. Bosserman,et al.  17 – Propagation of Cause in Ecosystems , 1976 .

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

[18]  R. Costanza,et al.  Embodied energy and economic valuation. , 1980, Science.

[19]  A. J. Lotka,et al.  Elements of Physical Biology. , 1925, Nature.

[20]  Arpita Ghosh,et al.  Input-Output Approach in an Allocation System , 1958 .

[21]  John T. Finn,et al.  Flow analysis of models of the Hubbard Brook Ecosystem. , 1980 .

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

[23]  R. Ulanowicz.  Ecology, the ascendent perspective , 1997 .

[24]  James H. Matis,et al.  The water environs of Okefenokee swamp: An application of static linear environ analysis , 1982 .

[25]  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 .

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

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

[28]  Bernard C. Patten,et al.  Modified cycling index for ecological applications , 1984 .

[29]  A. D. Bazykin.  Analysis of ecological systems: State-of-the-art in ecological modelling: William K. Lauenroth, Gaylord V. Skogerboe and Marshall Flug (Editors). Developments in Environmental Modelling, 5. Elsevier, Amsterdam, 1983. 992 pp., Dfl. 320.00. ISBN 0-444-42179-3 , 1986 .