## 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 64

CALCULATING INTRINSIC RATE OF INCREASE (r) We can use the equation for

exponential growth to solve for r in terms of Ro and G (Mertz 1970). Imagine ...

Later in this chapter, we will illustrate the derivation of the

now ...

CALCULATING INTRINSIC RATE OF INCREASE (r) We can use the equation for

exponential growth to solve for r in terms of Ro and G (Mertz 1970). Imagine ...

Later in this chapter, we will illustrate the derivation of the

**Euler equation**. Fornow ...

Page 72

Incidentally, if we use the value of r from the

growth, we must further assume that the population has achieved a stable age

distribution. One final point is that we have described the 10x) schedule from a ...

Incidentally, if we use the value of r from the

**Euler equation**to forecast populationgrowth, we must further assume that the population has achieved a stable age

distribution. One final point is that we have described the 10x) schedule from a ...

Page 73

Equation 3.14 x=0 REPRODUCTIVE VALUE Using the

calculate another useful statistic from the life table—the reproductive value of

each age (Fisher 1930). The reproductive value is the relative number of

offspring ...

Equation 3.14 x=0 REPRODUCTIVE VALUE Using the

**Euler equation**, we cancalculate another useful statistic from the life table—the reproductive value of

each age (Fisher 1930). The reproductive value is the relative number of

offspring ...

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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