A Primer of Ecology, Page 2A Primer of Ecology presents a concise but detailed exposition of the most common mathematical models in population and community ecology. It is intended to demystify ecological models and the mathematics behind them by deriving the models from first principles. The Primer explains in detail basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation, island biogeography, and, in a chapter new to this edition, succession. The book may be used as a self-teaching tutorial by students, as a primary textbook, or as a supplemental text to a general ecology textbook. |
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Page 11
... discrete difference equation rather than a continuous differential equation . Suppose the population increases ( or decreases ) each year by a con- stant proportion ra , the discrete growth factor . Thus , if the population increased ...
... discrete difference equation rather than a continuous differential equation . Suppose the population increases ( or decreases ) each year by a con- stant proportion ra , the discrete growth factor . Thus , if the population increased ...
Page 35
... DISCRETE POPULATION GROWTH We will now explore a model in which population growth is discrete rather than continuous . A discrete version of the logistic equation is : Nt + 1 = Nt + raNt1- ( 1 - X ) K Equation 2.4 This discrete growth ...
... DISCRETE POPULATION GROWTH We will now explore a model in which population growth is discrete rather than continuous . A discrete version of the logistic equation is : Nt + 1 = Nt + raNt1- ( 1 - X ) K Equation 2.4 This discrete growth ...
Page 259
... Discrete difference equation , 11 , 234 Discrete growth factor ( ra ) , 11 , 213 , 234 Discrete growth model ( illus . ) 11â14 , 20 ( illus . ) 35-37 Distance effect , 158 , 235 equilibrium model ( illus . ) , 164â165 , 167-168 Doubling ...
... Discrete difference equation , 11 , 234 Discrete growth factor ( ra ) , 11 , 213 , 234 Discrete growth model ( illus . ) 11â14 , 20 ( illus . ) 35-37 Distance effect , 158 , 235 equilibrium model ( illus . ) , 164â165 , 167-168 Doubling ...
Contents
X | 9 |
Logistic Population Growth | 25 |
AgeStructured Population Growth | 49 |
Copyright | |
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Common terms and phrases
age class Allee effect allenbyi ascidian assumptions axis birth and death birth rate calculate capita carrying capacity Chapter coexistence colonization competition constant death rate decrease density-dependent depend ecology equilibrium model equilibrium point Euler equation example exponential growth exponential growth model Expression extinction rate Figure functional response grassland habitat immigration rate interspecific competition isocline of species iteroparous K-selection Kâ large islands Leslie matrix logistic growth Lotka-Volterra model MacArthur-Wilson model maximum metapopulation metapopulation models Nâ number of individuals Number of predators number of species Number of victims offspring parasite passive sampling model patches pioneer species population growth rate population sizes predator and victim predator isocline predator population prey propagule rate of increase red grouse represents reproductive value rescue effect semelparous source pool species richness species-area relationship stage vector state-space graph survivorship curve tion transition matrix turnover ulation variance victim abundance victim isocline victim population zero