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Ecotoxicological Methodologies to Evaluate Biomarkers at Different Scales in Neotropical Anurans

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Sensitivity analysis of reactive ecological dynamics.

Ariane Verdy¹, Hal Caswell

¹Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA. averdy@mit.edu

Bulletin of Mathematical Biology

|April 12, 2008

Summary

This summary is machine-generated.

Ecological systems can amplify disturbances, a property called reactivity. This study quantifies how model parameters influence this amplification, revealing predator-prey interactions drive transient dynamics.

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Area of Science:

Ecology
Mathematical Biology
Systems Ecology

Background:

Ecological systems with stable equilibria can display significant transient dynamics after perturbations.
Some systems amplify perturbations, exhibiting 'reactivity' with potentially large, long-lasting effects.

Purpose of the Study:

To develop sensitivity analyses for indices of transient dynamics in ecological models.
To investigate how model parameters influence reactivity and transient amplification.

Main Methods:

Developed sensitivity analyses for reactivity, amplification envelope, and optimal perturbation.
Utilized matrix calculus to derive new expressions for derivatives of equilibria, eigenvalues, singular values, and singular vectors.
Applied methods to continuous- and discrete-time matrix models.

Main Results:

Sensitivity analysis provides a quantitative framework for understanding transient growth mechanisms.
Applied methodology to predator-prey and size-structured food web models.
Identified predator-driven and prey-driven mechanisms contributing to transient amplification in multispecies interactions.

Conclusions:

Reactivity is a common and significant property of ecological systems.
Sensitivity analysis is crucial for understanding the parameter dependence of transient dynamics.
Multispecies interactions play a key role in driving transient amplification in ecosystems.