## A Primer of EcologyWith the aim of teaching students the essential models in population and community ecology, this book explains in detail the basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation and island biogeography. |

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Page 18

The equation for variance of population size

death rates are equal or not. If b and d are exactly equal, the population will not

increase on average, and the variance in population size at time t is (Pielou 1969

): ...

The equation for variance of population size

**depends**on whether the birth anddeath rates are equal or not. If b and d are exactly equal, the population will not

increase on average, and the variance in population size at time t is (Pielou 1969

): ...

Page 66

However, the conversion of these values is tricky; it

births and deaths within an age class, and the timing of the population census (

Caswell 1989). In this primer, we will assume a simple birth-pulse model, in

which ...

However, the conversion of these values is tricky; it

**depends**on the timing ofbirths and deaths within an age class, and the timing of the population census (

Caswell 1989). In this primer, we will assume a simple birth-pulse model, in

which ...

Page 94

The immigration rate

colonization, p. If each site is colonized independently, this probability will

factors can affect ...

The immigration rate

**depends**on two factors. First is the probability of localcolonization, p. If each site is colonized independently, this probability will

**depend**only on the physical and biological conditions within a patch. Manyfactors can affect ...

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#### LibraryThing Review

User Review - dougb56586 - LibraryThingThis 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 | 27 |

AgeStructured Population Growth | 56 |

Metapopulation Dynamics | 91 |

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### Common terms and phrases

abundance age class age structure Allee effect allenbyi ascidian assumptions axis birth and death birth rate calculate carrying capacity Chapter coexistence colonization competition competitors constant death rate decrease density-dependent depends ecology environmental stochasticity Euler equation example exponential growth Expression extinction rate Figure fluctuations functional response go extinct habitat immigration rate interspecific competition isocline of species iteroparous K-selection large islands Leslie matrix life-table logistic growth logistic model Lotka–Volterra model MacArthur—Wilson model mathematical maximum metapopulation metapopulation models number of individuals number of species Number of victims offspring oligochaetes parasite passive sampling model patches persist population cycles population density population growth rate population sizes predator and victim predator isocline predator population primer propagule pyramidum rate of increase red grouse represents reproductive value rescue effect schedule simple source pool species richness species—area relationship state-space graph survivorship survivorship curve tion turnover ulation victim density victim isocline victim population zero