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 185
... transitions in detail in just a bit . ) Thus , in our four - stage example , we have a transition matrix with 4 rows , 4 columns , and 16 entries . Here is a typical matrix that we could have : Stage at time t Open Grassland Shrub ...
... transitions in detail in just a bit . ) Thus , in our four - stage example , we have a transition matrix with 4 rows , 4 columns , and 16 entries . Here is a typical matrix that we could have : Stage at time t Open Grassland Shrub ...
Page 188
... matrix multiplication . Even more interesting , this same equilibrium vector is reached from any ini- tial patch distribution . For example , suppose the landscape has been clearcut , so that all ... Transition Matrices: Two Interpretations.
... matrix multiplication . Even more interesting , this same equilibrium vector is reached from any ini- tial patch distribution . For example , suppose the landscape has been clearcut , so that all ... Transition Matrices: Two Interpretations.
Page 194
... matrix with identical transition elements : Open Stage at time t Grassland Shrub Forest Open 0.25 0.25 0.25 0.25 ... transition matrices , we began with a system in which 1000 patches were initially in the open state . The tra- jectories ...
... matrix with identical transition elements : Open Stage at time t Grassland Shrub Forest Open 0.25 0.25 0.25 0.25 ... transition matrices , we began with a system in which 1000 patches were initially in the open state . The tra- jectories ...
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 K₁ large islands Leslie matrix logistic growth Lotka-Volterra model MacArthur-Wilson model maximum metapopulation metapopulation models N₁ 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