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Download as PDF; Printable version; ... The carrying capacity of an environment is the maximum population size of a biological ... A region in ecological deficit ...
These terms, r, and K, are derived from standard ecological algebra, as illustrated in the simple Verhulst equation of population dynamics: [30] = where r is the growth rate of the population (N), and K is the carrying capacity of its
Pulliam's work was followed by many others who developed and tested the source–sink model. Watkinson and Sutherland [3] presented a phenomenon in which high immigration rates could cause a patch to appear to be a sink by raising the patch's population above its carrying capacity (the number of individuals it can support). However, in the ...
In a population, carrying capacity is known as the maximum population size of the species that the environment can sustain, which is determined by resources available. In many classic population models, r is represented as the intrinsic growth rate, where K is the carrying capacity, and N0 is the initial population size. [5]
This model can be generalized to any number of species competing against each other. One can think of the populations and growth rates as vectors, α 's as a matrix.Then the equation for any species i becomes = (=) or, if the carrying capacity is pulled into the interaction matrix (this doesn't actually change the equations, only how the interaction matrix is defined), = (=) where N is the ...
If "I" exceeds the carrying capacity, then the system is said to be in overshoot, which may only be a temporary state. Overshoot may degrade the ability of the environment to endure impact, therefore reducing the carrying capacity. Impact may be measured using ecological footprint analysis in units of global hectares (gha). Ecological footprint ...
The touristic ecological footprint (TEF) is the ecological footprint of visitors to a particular destination, and depends on the tourists' behavior. [24] Comparisons of TEFs can indicate the benefits of alternative destinations, modes of travel, food choices, types of lodging, and activities.
However, as the population reaches its maximum (the carrying capacity), intraspecific competition becomes fiercer and the per capita growth rate slows until the population reaches a stable size. At the carrying capacity, the rate of change of population density is zero because the population is as large as possible based on the resources ...