Corpus ID: 86390287

The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary Biology

@inproceedings{Mangel2006TheTB,
  title={The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary Biology},
  author={M. Mangel},
  year={2006}
}
Preface 1. Four examples and a metaphor 2. Topics from ordinary and partial differential equations 3. Probability and some statistics 4. The evolutionary ecology of parasitoids 5. The population biology of disease 6. An introduction to some of the problems of sustainable fisheries 7. The basics of stochastic population dynamics 8. Applications of stochastic population dynamics to ecology, evolution and biodemography. 
THE STATE OF THE ART OF POPULATION PROJECTION MODELS: FROM THE LESLIE MATRIX TO EVOLUTIONARY DEMOGRAPHY
TLDR
Some of theoretical advances made in the field of population projection  modelling are joined, the history is briefly revised, and some applications derived from population matrix models in  ecological and evolutionary studies are presented. Expand
Modeling and Mathematical Analysis of Plant Models in Ecology
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This dissertation uses mathematical modeling and analysis to study the various aspects of the dynamics of plant populations and their seed banks and develops a stochastic integral projection model for a disturbance specialist plant and its seed bank. Expand
COMPONENT ALLEE EFFECTS AND STAGE‐SPECIFIC PREDATION: A BRIEF INSIGHT INTO CONSERVATION AND BIOLOGICAL CONTROL ISSUES
TLDR
A two-stage structured popula- tion model subject to component Allee effects in fecundity and maturation, and with two disturbances (predation only and harvest and predation) on both stages shows that this combination leads to a demographic Allee effect. Expand
The Behavioral Ecology of Fishing Vessels: Achieving Conservation Objectives Through Understanding the Behavior of Fishing Vessels
Colin Clark made seminal contributions in both resource economics and behavioral ecology. In the former, he showed how to link biological and economic factors in a consistent mathematical framework,Expand
Mathematical modelling of population dynamics in complex and fragmented environments
Understanding the effect of the global environmental change on the dynamics of ecosystems and populations is a major challenge in contemporary science, and mathematical modelling is widely recognisedExpand
Analyzing the tradeoffs among ecological and fishing effects on an example fish community: A multispecies (fisheries) production model
Species interactions such as predation or competition can have notable implications for fish population dynamics. Stock status and associated biological reference points can be misrepresented ifExpand
Introducing data-model assimilation to students of ecology.
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  • Computer Science, Medicine
  • Ecological applications : a publication of the Ecological Society of America
  • 2011
TLDR
This course replaces the procedural emphasis of traditional introductory material in statistics with an emphasis on principles needed to develop hierarchical models of ecological systems, fusing models of data with models of ecology processes. Expand
Resonant activation of population extinctions.
TLDR
It is found that there exists a rate of fluctuations that minimizes the mean time to extinction, a phenomenon previously dubbed "resonant activation," and a heuristic description of the phenomenon is developed, together with a criterion for the existence of resonant activation. Expand
Prey dynamics under generalist predator culling in stage structured models.
TLDR
The impacts of predator culling on a prey population structured in two stage classes, juveniles and adults, assuming stage specific predation by two generalist predators with functional responses types 2 and 3 in all possible combinations are investigated by means of mathematical dynamical models. Expand
Multiple stage hydra effect in a stage–structured prey–predator model
In this work, we show by means of numerical bifurcation that two alternative stable states exhibit a hydra effect in a continuous–time stage–structured predator–prey model. We denote this behavior asExpand
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