Book contents
- Animal Population Ecology
- Ecology, Biodiversity and Conservation
- Animal Population Ecology
- Copyright page
- Dedication
- Contents
- Prologue
- 1 Hunting Strategies of Predators as Revealed in Field Studies of Great Tits
- 2 The Paradox of Crypsis: Is it Effective against Visual Predation?
- 3 Logistic Law of Population Growth: What Is It Really?
- 4 Reproduction Curves and Their Utilities
- 5 Generalization of the Logistic Model
- 6 Scramble and Contest Competition: What Is the Difference?
- 7 Regulation of Populations: Its Myths and Real Nature
- 8 Predator–Prey Interaction Processes
- 9 Interspecific Competition Processes
- 10 Observations, Analyses, and Interpretations: A Personal View through the Spruce Budworm Studies
- References
- Index
5 - Generalization of the Logistic Model
Published online by Cambridge University Press: 01 April 2021
Book contents
- Animal Population Ecology
- Ecology, Biodiversity and Conservation
- Animal Population Ecology
- Copyright page
- Dedication
- Contents
- Prologue
- 1 Hunting Strategies of Predators as Revealed in Field Studies of Great Tits
- 2 The Paradox of Crypsis: Is it Effective against Visual Predation?
- 3 Logistic Law of Population Growth: What Is It Really?
- 4 Reproduction Curves and Their Utilities
- 5 Generalization of the Logistic Model
- 6 Scramble and Contest Competition: What Is the Difference?
- 7 Regulation of Populations: Its Myths and Real Nature
- 8 Predator–Prey Interaction Processes
- 9 Interspecific Competition Processes
- 10 Observations, Analyses, and Interpretations: A Personal View through the Spruce Budworm Studies
- References
- Index
Summary
The logistic model developed in Chapter 3 is based on the assumption that individuals of a population are spatially distributed completely at random, as commonly known as the Poisson distribution. This is a rather restricted assumption. Thus, I generalize the type of distribution from the Poisson to the more flexible ‘negative binomial distribution’. I begin with showing how to derive the N-B distribution from scratch in a step-by-step manner, so that the readers would know how it could be applied to an ecological study.
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- Animal Population EcologyAn Analytical Approach, pp. 98 - 119Publisher: Cambridge University PressPrint publication year: 2021