Matrix population models are a specific type of population model that uses matrix algebra . Population models are used in population ecology to model the dynamics of wildlife or human populations. Matrix algebra, in turn, is simply a form of algebraic shorthand for summarizing a larger number of often repetitious and tedious algebraic computations.
6-709: [REDACTED] Look up bide in Wiktionary, the free dictionary. Bide may refer to: Bïde , an indigenous people of Brazil Bïde language , a language of Brazil BIDE model , a model used in population ecology Austin Bide (1915–2008), British chemist and industrialist Alcebíades Barcelos (1902–1975), also known as Bide, Brazilian samba musician and composer Bao Bide (born 1948), American historian and sinologist Bide Dudley (1877–1944), American critic and playwright See also [ edit ] Sass & bide ,
12-456: A fashion label Bidet Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Bide . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Bide&oldid=1211084321 " Category : Disambiguation pages Hidden categories: Short description
18-545: A researcher attempts to estimate current abundance, N t , often using some form of mark and recapture technique. Estimates of B might be obtained via a ratio of immatures to adults soon after the breeding season, R i . Number of deaths can be obtained by estimating annual survival probability, usually via mark and recapture methods, then multiplying present abundance and survival rate . Often, immigration and emigration are ignored because they are so difficult to estimate. For added simplicity it may help to think of time t as
24-411: Is different from Wikidata All article disambiguation pages All disambiguation pages BIDE model All populations can be modeled where: This equation is called a BIDE model (Birth, Immigration, Death, Emigration model). Although BIDE models are conceptually simple, reliable estimates of the 5 variables contained therein (N, B, D, I and E) are often difficult to obtain. Usually
30-400: The end of the breeding season in year t and to imagine that one is studying a species that has only one discrete breeding season per year. The BIDE model can then be expressed as: where: In matrix notation this model can be expressed as: Suppose that you are studying a species with a maximum lifespan of 4 years. The following is an age-based Leslie matrix for this species. Each row in
36-692: The first and third matrices corresponds to animals within a given age range (0–1 years, 1–2 years and 2–3 years). In a Leslie matrix the top row of the middle matrix consists of age-specific fertilities: F 1 , F 2 and F 3 . Note, that F 1 = S i ×R i in the matrix above. Since this species does not live to be 4 years old the matrix does not contain an S 3 term. These models can give rise to interesting cyclical or seemingly chaotic patterns in abundance over time when fertility rates are high. The terms F i and S i can be constants or they can be functions of environment, such as habitat or population size. Randomness can also be incorporated into
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