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 84
... patches go extinct during the year : P2 = 1â ( Pe ) ( Pe ) = 1- ( Pe ) 2 Expression 4.2 The probability of regional persistence in a set of x patches is the probability that all x patches do not go simultaneously extinct : Px = 1- ( Pe ) ...
... patches go extinct during the year : P2 = 1â ( Pe ) ( Pe ) = 1- ( Pe ) 2 Expression 4.2 The probability of regional persistence in a set of x patches is the probability that all x patches do not go simultaneously extinct : Px = 1- ( Pe ) ...
Page 187
... patches in the open state , 15 % will transform to grassland patches [ ( 0.15 ) ( 250 ) ] . We add to this the contributions coming from shrubland patches [ ( 0.25 ) ( 80 ) ] and forest patches [ ( 0.10 ) ( 70 ) ] . Finally , we include ...
... patches in the open state , 15 % will transform to grassland patches [ ( 0.15 ) ( 250 ) ] . We add to this the contributions coming from shrubland patches [ ( 0.25 ) ( 80 ) ] and forest patches [ ( 0.10 ) ( 70 ) ] . Finally , we include ...
Page 190
... patches that change from one state to the next in each time step . However , we can also interpret this model on the ... patches ( 80.75 / 500 ) will be in the forest state , and any individual patch will be in the forest state 16 % of ...
... patches that change from one state to the next in each time step . However , we can also interpret this model on the ... patches ( 80.75 / 500 ) will be in the forest state , and any individual patch will be in the forest state 16 % of ...
Contents
X | 9 |
Logistic Population Growth | 25 |
AgeStructured Population Growth | 49 |
Copyright | |
14 other sections not shown
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