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Predicting the stability, equilibrium response, and nonequilibrium dynamics of ecological systems

ScholarsArchive at Oregon State University

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Title Predicting the stability, equilibrium response, and nonequilibrium dynamics of ecological systems
Names Hosack, Geoffrey R. (creator)
Rossignol, Philippe A. (advisor)
Li, Hiram W. (advisor)
Date Issued 2008-06-27 (iso8601)
Note Graduation date: 2009
Abstract In this dissertation, new theory and its applications are developed to predict three properties
of complex ecological communities: stability, equilibrium response, and non-equilibrium dynamics.
First, a graph-theoretic analysis identifies the interconnections in a complex ecosystem that promote
or diminish stability (Chapter 2). The hierarchy of interactions that influences stability and feedback
processes can guide resource allocation for environmental monitoring, investigate alternative
management strategies, and help formulate novel research hypotheses. Second, a combined graph-theoretic
and probabilistic approach evaluates the potential for long-term changes in equilibrium
(Chapter 3). Conditional probabilities of long-term increase and decrease in variables are transferred
from the graph-theoretic models into a Bayesian network. The Bayesian network allows researchers
both to predict how an ecosystem might change given a perturbation and to diagnose which model
structure best matches empirical observations. Third, a threshold index predicts whether or not largemagnitude
short-term transitory changes in disease prevalence can occur (Chapter 4). The concept of
reactivity is used to derive a threshold index for epidemicity, E0, which gives the maximum number
of new infections produced by an infective individual at a disease free equilibrium. This index
provides a threshold that determines whether or not major epidemics are possible. The relative
importance of parameters differs between control strategies that seek to reduce endemicity and those
that seek to reduce epidemicity. The index E0 therefore is an important measure of epidemic potential
that may assist efforts to control epidemics. Together these approaches provide new theory that help
bridge the gap between our need to understand complex ecological systems and the empirical data
available for their characterization.
Genre Thesis
Topic stability
Identifier http://hdl.handle.net/1957/9149

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