## 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 184

CONSTRUCTING THE

introduce the centerpiece of this model: the

equivalent to the Leslie matrix used to forecast population growth in Chapter 3.

However ...

CONSTRUCTING THE

**TRANSITION MATRIX**In order to get there, we nowintroduce the centerpiece of this model: the

**transition matrix**. This matrix isequivalent to the Leslie matrix used to forecast population growth in Chapter 3.

However ...

Page 185

sition probabilities for change from the current state (column) to the next state (

row). (We will explain the interpretation of these transitions in detail in just a bit.)

Thus, in our four-stage example, we have a

columns, ...

sition probabilities for change from the current state (column) to the next state (

row). (We will explain the interpretation of these transitions in detail in just a bit.)

Thus, in our four-stage example, we have a

**transition matrix**with 4 rows, 4columns, ...

Page 194

In this matrix, there is a 10% chance of a disturbance in each time step,

regardless of the initial state. ... This generates a

transition elements: Expression 8.11 In this model, each community neither

inhibits nor ...

In this matrix, there is a 10% chance of a disturbance in each time step,

regardless of the initial state. ... This generates a

**transition matrix**with identicaltransition elements: Expression 8.11 In this model, each community neither

inhibits nor ...

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#### 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 |

Copyright | |

13 other sections not shown

### 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