## 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 39

(d) "Large" r generates a chaotic pattern of

2.8). Population biologists were among the first to appreciate that simple discrete

equations may generate complex patterns (May 1974b). What is interesting ...

(d) "Large" r generates a chaotic pattern of

**fluctuations**that appears random (r =2.8). Population biologists were among the first to appreciate that simple discrete

equations may generate complex patterns (May 1974b). What is interesting ...

Page 40

The pattern of population

Populations with large rare very sensitive to changes in K, and they will tend to

track these

will be ...

The pattern of population

**fluctuations**also depends on r (Levins 1969).Populations with large rare very sensitive to changes in K, and they will tend to

track these

**fluctuations**quite closely. Consequently, the average population sizewill be ...

Page 41

Note that the population with the larger growth rate (r = 0.50) tracks the

rate (r = 0.10) is less variable and does not respond as quickly to

resources.

Note that the population with the larger growth rate (r = 0.50) tracks the

**fluctuations**in carrying capacity, whereas the population with the small growthrate (r = 0.10) is less variable and does not respond as quickly to

**fluctuations**inresources.

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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 | 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