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  2. Carrying capacity - Wikipedia

    en.wikipedia.org/wiki/Carrying_capacity

    Carrying capacity. The carrying capacity of an environment is the maximum population size of a biological species that can be sustained by that specific environment, given the food, habitat, water, and other resources available. The carrying capacity is defined as the environment 's maximal load, [clarification needed] which in population ...

  3. Logistic function - Wikipedia

    en.wikipedia.org/wiki/Logistic_function

    Logistic function. A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation. where. is the carrying capacity, the supremum of the values of the function; is the logistic growth rate, the steepness of the curve; and. is the value of the function's midpoint.

  4. Intraspecific competition - Wikipedia

    en.wikipedia.org/wiki/Intraspecific_competition

    Intraspecific competition is an interaction in population ecology, whereby members of the same species compete for limited resources. This leads to a reduction in fitness for both individuals, but the more fit individual survives and is able to reproduce. [1] By contrast, interspecific competition occurs when members of different species ...

  5. Competitive Lotka–Volterra equations - Wikipedia

    en.wikipedia.org/wiki/Competitive_Lotka...

    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 ...

  6. I = PAT - Wikipedia

    en.wikipedia.org/wiki/I_=_PAT

    I = (PAT) is the mathematical notation of a formula put forward to describe the impact of human activity on the environment. I = P × A × T. The expression equates human impact on the environment to a function of three factors: population (P), affluence (A) and technology (T). [1] It is similar in form to the Kaya identity, which applies ...

  7. r/K selection theory - Wikipedia

    en.wikipedia.org/wiki/R/K_selection_theory

    More recently, the panarchy theories of adaptive capacity and resilience promoted by C. S. Holling and Lance Gunderson have revived interest in the theory, and use it as a way of integrating social systems, economics, and ecology. [44] Writing in 2002, Reznick and colleagues reviewed the controversy regarding r/K selection theory and concluded ...

  8. Population ecology - Wikipedia

    en.wikipedia.org/wiki/Population_ecology

    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.

  9. Source–sink dynamics - Wikipedia

    en.wikipedia.org/wiki/Source–sink_dynamics

    Source–sink dynamics is a theoretical model used by ecologists to describe how variation in habitat quality may affect the population growth or decline of organisms. Since quality is likely to vary among patches of habitat, it is important to consider how a low quality patch might affect a population. In this model, organisms occupy two ...

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