## 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 73

Equation 3.14 x=0

calculate another useful statistic from the life table—the

each age (Fisher 1930). The

offspring ...

Equation 3.14 x=0

**REPRODUCTIVE VALUE**Using the Euler equation, we cancalculate another useful statistic from the life table—the

**reproductive value**ofeach age (Fisher 1930). The

**reproductive value**is the relative number ofoffspring ...

Page 74

v(x) = *—H···- Expression 3.18 e”1(x) Rearranging the right-hand side yields a

formula for

10x) and b(x) Schedules to calculate the

...

v(x) = *—H···- Expression 3.18 e”1(x) Rearranging the right-hand side yields a

formula for

**reproductive value**: k rx v(x) = ... of Equation 3.15 allows us to use the10x) and b(x) Schedules to calculate the

**reproductive value**for individuals of age...

Page 75

For an age-structured population, maximizing population growth rate would

mean harvesting individuals with relatively low

newborns and very old individuals, depending on the age structure of the

population.

For an age-structured population, maximizing population growth rate would

mean harvesting individuals with relatively low

**reproductive value**—usuallynewborns and very old individuals, depending on the age structure of the

population.

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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