Book contents
- Ecological-Economic Modelling for Biodiversity Conservation
- Ecology, Biodiversity and Conservation
- Ecological-Economic Modelling for Biodiversity Conservation
- Copyright page
- Contents
- Preface
- Acknowledgements
- Part I Modelling
- Part II Ecological Modelling
- 4 Homogenous Deterministic Population Models
- 5 Homogenous Stochastic Population Models
- 6 Spatial Population Models
- 7 Models with Individual Variability
- 8 Models of Biodiversity
- Part III Economic Modelling
- Part IV Ecological-Economic Modelling
- References
- Index
5 - Homogenous Stochastic Population Models
from Part II - Ecological Modelling
Published online by Cambridge University Press: 29 February 2020
- Ecological-Economic Modelling for Biodiversity Conservation
- Ecology, Biodiversity and Conservation
- Ecological-Economic Modelling for Biodiversity Conservation
- Copyright page
- Contents
- Preface
- Acknowledgements
- Part I Modelling
- Part II Ecological Modelling
- 4 Homogenous Deterministic Population Models
- 5 Homogenous Stochastic Population Models
- 6 Spatial Population Models
- 7 Models with Individual Variability
- 8 Models of Biodiversity
- Part III Economic Modelling
- Part IV Ecological-Economic Modelling
- References
- Index
Summary
This chapter relaxes the assumption of determistic population growth. It starts with a motivation for the inclusion of stochastic elements in population models and introduces two types of stochasticity: environmental stochasticity and demographic stochasticity. After this, three main probability distributions are introduced: the normal, the binomial and the Poisson. Using these distributions, the dynamics of a small population are simulated and the simulation outcome analysed statistically to assess the viability of the population. A fourth section provides some mathematical background of stochastic population models and population viability analysis. The chapter concludes with an outline of the International Union for Conservation of Nature's risk model to assess the endangerment of species.
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- Publisher: Cambridge University PressPrint publication year: 2020