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The Reynolds transport theorem: Application to ecological compartment modeling and case study of ecosystem energetics

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dc.contributor.author Schramski, JR en
dc.contributor.author Patten, BC en
dc.contributor.author Kazanci, C en
dc.contributor.author Gattie, DK en
dc.contributor.author Kellam, NN en
dc.date.accessioned 2014-06-06T06:49:03Z
dc.date.available 2014-06-06T06:49:03Z
dc.date.issued 2009 en
dc.identifier.issn 03043800 en
dc.identifier.uri http://dx.doi.org/10.1016/j.ecolmodel.2009.08.009 en
dc.identifier.uri http://62.217.125.90/xmlui/handle/123456789/4401
dc.subject Control surface en
dc.subject Control volume en
dc.subject Ecological modeling en
dc.subject Ecological network analysis en
dc.subject Ecosystem energetics en
dc.subject Eulerian en
dc.subject Reynolds transport theorem en
dc.subject.other Control surface en
dc.subject.other Control volume en
dc.subject.other Ecological modeling en
dc.subject.other Ecological network analysis en
dc.subject.other Eulerian en
dc.subject.other Reynolds transport theorem en
dc.subject.other Abstracting en
dc.subject.other Electric network analysis en
dc.subject.other Integrodifferential equations en
dc.subject.other Models en
dc.subject.other Reynolds equation en
dc.subject.other Ecosystems en
dc.subject.other bioenergetics en
dc.subject.other comparative study en
dc.subject.other continuum mechanics en
dc.subject.other ecological modeling en
dc.subject.other energy conservation en
dc.subject.other Eulerian analysis en
dc.subject.other intertidal community en
dc.subject.other mass transport en
dc.subject.other oyster culture en
dc.subject.other reef en
dc.subject.other thermodynamic property en
dc.subject.other Ostreidae en
dc.title The Reynolds transport theorem: Application to ecological compartment modeling and case study of ecosystem energetics en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.ecolmodel.2009.08.009 en
heal.publicationDate 2009 en
heal.abstract The Reynolds transport theorem (RTT) from mathematics and engineering has a rich history of success in mass transport dynamics and traditional thermodynamics. This paper introduces RTT as a complementary approach to traditional compartmental methods used in ecological modeling and network analysis. A universal system equation for a generic flow quantity is developed into a generic open-system differential expression for conservation of energy. Nonadiabatic systems are defined and incorporated into control volume (CV) and control surface (CS) perspectives of RTT where reductive assumptions in empirical data are then formally introduced, reviewed, and appropriately implemented. Compartment models are abstract, time-dependent systems of simultaneous differential equations describing storage and flow of conservative quantities between interconnected entities (the compartments). As such, they represent a set of flexible and somewhat informal, assumptions, definitions, algebraic manipulations, and graphical depictions subject to influence and selectively parsed expression by the modeler. In comparison, RTT compartment models are more rigorous and formal integro-differential equations and graphics initiated by the RTT universal system equation, forcing an ordered identification of simplifying assumptions, ending with clearly identified depictions of the transfer and transport of conservative substances in physical space and time. They are less abstract in the rigor of their equation development leaving less ambiguity to modeler discretion. They achieve greater consistency with other RTT compartment style models while possibly generating greater conformity with physical reality. Characteristics of the RTT approach are compared with those of a traditional compartment model of energy flow in an intertidal oyster-reef community. © 2009 Elsevier B.V. All rights reserved. en
heal.journalName Ecological Modelling en
dc.identifier.issue 22 en
dc.identifier.volume 220 en
dc.identifier.doi 10.1016/j.ecolmodel.2009.08.009 en
dc.identifier.spage 3225 en
dc.identifier.epage 3232 en


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