## A Primer of EcologyA Primer of Ecology presents a concise but detailed exposition of the most common mathematical models in population and community ecology. It is intended to demystify ecological models and the mathematics behind them by deriving the models from first principles. The Primer explains in detail basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation, island biogeography, and, in a chapter new to this edition, succession. The book may be used as a self-teaching tutorial by students, as a primary textbook, or as a supplemental text to a general ecology textbook. |

### From inside the book

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Page 28

It has a ready biological interpretation as the

. K represents the maximum population size that can be supported; it

encompasses many potentially limiting resources, including the availability of

space, food, ...

It has a ready biological interpretation as the

**carrying capacity**of the environment. K represents the maximum population size that can be supported; it

encompasses many potentially limiting resources, including the availability of

space, food, ...

Page 38

RANDOM VARIATION IN

environmental stochasticity (Chapter 1), we assumed that resources were

unlimited, but that r varied randomly with time. For the logistic model, we will now

assume that r is ...

RANDOM VARIATION IN

**CARRYING CAPACITY**In our analysis ofenvironmental stochasticity (Chapter 1), we assumed that resources were

unlimited, but that r varied randomly with time. For the logistic model, we will now

assume that r is ...

Page 39

r = 0.50 60 0 10 20 30 40 50 Time (f) 60 70 80 90 100 Figure 2.8 Logistic

population growth with random variation in

population with the larger growth rate (r = 0.50) tracks the fluctuations in

r = 0.50 60 0 10 20 30 40 50 Time (f) 60 70 80 90 100 Figure 2.8 Logistic

population growth with random variation in

**carrying capacity**. Note that thepopulation with the larger growth rate (r = 0.50) tracks the fluctuations in

**carrying****capacity**, ...### What people are saying - Write a review

#### LibraryThing Review

User Review - dougb56586 - www.librarything.comThis is a very good introduction to the mathematical models used in population dynamics. The author begins with a simple exponential model of population growth, gradually extends the model to account ... Read full review

### Contents

Logistic Population Growth | 25 |

AgeStructured Population Growth | 49 |

MODEL PRESENTATION AND PREDICTIONS | 82 |

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### Common terms and phrases

age class Allee effect assumptions axis birth and death birth rate calculate carrying capacity Chapter coexist cohort colonization competition constant corals death rate decrease density density-dependent depend discrete dN/dt ecology Equation 1.2 equilibrium model equilibrium point Euler equation example exponential growth exponential growth model Expression extinction rate feeding rate Figure functional response grassland habitat immigration rate instantaneous rate intersection interspecific competition iteroparous K-selection Leslie matrix logistic growth Lotka-Volterra model MacArthur-Wilson model mathematical maximum metapopulation metapopulation models number of individuals number of species offspring passive sampling model patches pioneer species plot population cycles population growth rate population sizes predator and victim predator isocline predator population prey primer propagule rate of increase red grouse represents reproductive value rescue effect semelparous simple source pool species richness species-area relationship stage vector state-space graph survivorship curve tion transition matrix turnover ulation variance victim abundance victim isocline victim population zero