## 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 5

A population will neither increase nor decrease when the population growth rate

equals

true. The first is when N = 0. Because of migration, population growth in nature ...

A population will neither increase nor decrease when the population growth rate

equals

**zero**(dN/dt = 0). For Equation 1.1, there are only two cases when this istrue. The first is when N = 0. Because of migration, population growth in nature ...

Page 94

Thus, the immigration rate is the product of the probability of local colonization (p)

and the fraction of unoccupied sites (1-f): I = p(1–f) Expression 4.4 The

immigration rate will equal

colonization is ...

Thus, the immigration rate is the product of the probability of local colonization (p)

and the fraction of unoccupied sites (1-f): I = p(1–f) Expression 4.4 The

immigration rate will equal

**zero**in two cases: first, if the probability of localcolonization is ...

Page 177

Conversely, if no species are present on the island (S = 0), the extinction rate

must equal

of

Conversely, if no species are present on the island (S = 0), the extinction rate

must equal

**zero**. Thus, the extinction curve is also a straight line with an interceptof

**zero**, and a maximum rate of E, which occurs when S = P(Figure 7.4): E - Lls ...### What people are saying - Write a review

#### 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