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171:, the carrying capacity in the Ricker model is not a hard barrier that cannot be exceeded by the population, but it only determines the overall scale of the population. The Ricker model was introduced in 1954 by Ricker in the context of
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Ricker, W. E. (1975) Computation and
Interpretation of Biological Statistics of Fish Populations. Bulletin of the Fisheries Research Board of Canada, No 119. Ottawa.
186:, within-year resource limited competition or even as the outcome of source-sink Malthusian patches linked by density-dependent dispersal. The Ricker model is a
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The model can be used to predict the number of fish that will be present in a fishery. Subsequent work has derived the model under other assumptions such as
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442:"On the mechanistic underpinning of discrete-time population models with complex dynamics"
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Reduction of discrete dynamical systems with applications to dynamics population models
56: + 1 as a function of the number of individuals in the previous generation,
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292:{\displaystyle N_{t+1}=k_{1}{\frac {N_{t}}{\left(1+k_{2}N_{t}\right)^{c}}}.}
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Reduction of slow–fast discrete models coupling migration and demography
145:{\displaystyle N_{t+1}=N_{t}e^{r\left(1-{\frac {N_{t}}{k}}\right)}.\,}
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Bravo de la Parra, R., Marvá, M., Sánchez, E. and Sanz, L. (2013)
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Marvá, M., Sánchez, E., Bravo de la Parra, R., Sanz, L. (2009).
413:"The role of competition and clustering in population dynamics"
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of the environment. Unlike some other models like the
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25:of the Ricker model with carrying capacity of 1000
484:Journal of the Fisheries Research Board of Canada
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306: = 1, the Hassell model is simply the
159:is interpreted as an intrinsic growth rate and
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190:of the Hassell model which takes the form
52:(or density) of individuals in generation
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411:Brännström A and Sumpter DJ (2005)
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462:Noakes, David L. G. (Ed.) (2006)
448:, 21 May 2004;228(2):261–9.
323:Population dynamics of fisheries
41:which gives the expected number
440:Geritz SA and Kisdi E (2004).
398:Bravo de la Parra et al (2013)
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465:Bill Ricker: an appreciation
368:Brännström and Sumpter(2005)
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540:
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37:, is a classic discrete
380:Geritz and Kisdi (2004)
422:(1576): 2065–72.
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481:Stock and Recruitment
479:Ricker, W. E. (1954)
431:Math Model Nat Phenom
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184:scramble competition
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519:Population dynamics
308:Beverton–Holt model
175:and recruitment in
23:Bifurcation diagram
468:シュプリンガー・ジャパン株式会社,
389:Marvá et al (2009)
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524:Stochastic models
474:978-1-4020-4707-7
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165:carrying capacity
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169:Logistic map
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31:Ricker model
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35:Bill Ricker
514:Demography
508:Categories
406:References
177:fisheries
112:−
317:See also
359:Marland
163:as the
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329:Notes
302:When
173:stock
155:Here
470:ISBN
29:The
492:doi
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