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logistic equation
logistic equation (logistic model) A mathematical description of growth rates for a simple population in a confined space with limited resources. The equation summarizes the interaction of biotic potential with environmental resources, as seen in populations showing the S-shaped growth curve, as: dN/dt = rN(K − N)/K where N is the number of individuals in the population, t is time, r is the biotic potential of the organism concerned, and K is the saturation value or carrying capacity for that organism in that environment. The resulting growth rate or logistic curve is a parabola, while the graph for organism numbers over time is sigmoidal. Compare J-SHAPED GROWTH CURVE.
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Cite this article
MICHAEL ALLABY. "logistic equation." A Dictionary of Zoology. 1999. Encyclopedia.com. 31 May. 2012 <http://www.encyclopedia.com>. MICHAEL ALLABY. "logistic equation." A Dictionary of Zoology. 1999. Encyclopedia.com. (May 31, 2012). http://www.encyclopedia.com/doc/1O8-logisticequation.html MICHAEL ALLABY. "logistic equation." A Dictionary of Zoology. 1999. Retrieved May 31, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O8-logisticequation.html |
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logistic equation
logistic equation(logistic model) A mathematical description of growth rates for a simple population in a confined space with limited resources. The equation summarizes the interaction of biotic potential with environmental resources, as seen in populations showing the S-shaped growth curve, as: dN/dt = rN(N − K)/K where N is the number of individuals in the population, t is time, r is the biotic potential of the organism concerned, and K is the saturation value or carrying capacity for that organism in that environment. The resulting growth rate or logistic curve is a parabola, while the graph for organism numbers over time is sigmoidal. Compare J-shaped growth curve.
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Cite this article
MICHAEL ALLABY. "logistic equation." A Dictionary of Ecology. 2004. Encyclopedia.com. 31 May. 2012 <http://www.encyclopedia.com>. MICHAEL ALLABY. "logistic equation." A Dictionary of Ecology. 2004. Encyclopedia.com. (May 31, 2012). http://www.encyclopedia.com/doc/1O14-logisticequation.html MICHAEL ALLABY. "logistic equation." A Dictionary of Ecology. 2004. Retrieved May 31, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O14-logisticequation.html |
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logistic equation
logistic equation (logistic model) A mathematical description of growth rates for a simple population in a confined space with limited resources. The equation summarizes the interaction of biotic potential with environmental resources, as seen in populations showing the S-shaped growth curve, as: dN/dt = rN(N - K)/k where N is the number of individuals in the population, t is time, r is the biotic potential of the organism concerned, and K is the saturation value or carrying capacity for that organism in that environment. The resulting growth rate or logistic curve is a parabola, while the graph for organism numbers over time is sigmoidal. Compare J-SHAPED GROWTH CURVE.
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Cite this article
MICHAEL ALLABY. "logistic equation." A Dictionary of Plant Sciences. 1998. Encyclopedia.com. 31 May. 2012 <http://www.encyclopedia.com>. MICHAEL ALLABY. "logistic equation." A Dictionary of Plant Sciences. 1998. Encyclopedia.com. (May 31, 2012). http://www.encyclopedia.com/doc/1O7-logisticequation.html MICHAEL ALLABY. "logistic equation." A Dictionary of Plant Sciences. 1998. Retrieved May 31, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O7-logisticequation.html |
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