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The seasonally-adjusted von
Bertalanffy is an extension of this function that accounts for organism growth that occurs seasonally. It was created by I. F. Somers in 1988.
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Special Issue: Age and Growth of
Chondrichthyan Fishes: New Methods, Techniques and Analysis
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is asymptotic size. It is the solution of the following linear differential equation:
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is used to model mean length from age in animals. The function is commonly applied in
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Food and
Agriculture Organization of the United Nations (2005).
431:"Fossil bivalves and the sclerochronological reawakening"
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156:{\displaystyle L(a)=L_{\infty }(1-\exp(-k(a-t_{0})))}
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John K. Carlson; Kenneth J. Goldman (5 April 2007).
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321:{\displaystyle {\frac {dL}{da}}=k(L_{\infty }-L)}
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405:Management Techniques for Elasmobranch Fisheries
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233:is the theoretical age when size is zero, and
499:"On a seasonally oscillating growth function"
429:Moss, D.K.; Ivany, L.C.; Jones, D.S. (2021).
66:The model can be written as the following:
408:. Food & Agriculture Org. p. 93.
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378:Length-based Methods in Fisheries Research
476:. Springer Science & Business Media.
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375:Daniel Pauly; G. R. Morgan (1987).
332:Seasonally-adjusted von Bertalanffy
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21:von Bertalanffy growth function
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43:. It is a special case of the
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45:generalised logistic function
63:parameters of shell growth.
55:to model fish growth and in
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253:{\displaystyle L_{\infty }}
206:is the growth coefficient,
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381:. WorldFish. p. 299.
356:Michaelis–Menten kinetics
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41:Ludwig von Bertalanffy
29:von Bertalanffy curve,
532:Mathematical modeling
497:Somers, I.F. (1988).
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226:{\displaystyle t_{0}}
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448:10.1017/pab.2021.16
61:sclerochronological
39:and is named after
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16:Growth curve model
483:978-1-4020-5570-6
415:978-92-5-105403-1
388:978-971-10-2228-0
346:Gompertz function
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199:{\displaystyle k}
179:{\displaystyle a}
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441:(4): 551–573.
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527:Growth curves
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31:is a type of
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435:Paleobiology
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57:paleontology
49:growth curve
33:growth curve
28:
24:
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37:time series
521:Categories
509:(1): 8–11.
362:References
457:234844791
310:−
305:∞
246:∞
132:−
120:−
114:
108:−
97:∞
59:to model
503:Fishbyte
340:See also
186:is age,
53:ecology
480:
455:
412:
385:
166:where
47:. The
35:for a
27:), or
453:S2CID
478:ISBN
410:ISBN
383:ISBN
25:VBGF
19:The
443:doi
111:exp
523::
505:.
501:.
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439:47
437:.
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507:6
486:.
459:.
445::
418:.
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313:L
301:L
297:(
294:k
291:=
285:a
282:d
277:L
274:d
242:L
219:0
215:t
194:k
174:a
151:)
148:)
145:)
140:0
136:t
129:a
126:(
123:k
117:(
105:1
102:(
93:L
89:=
86:)
83:a
80:(
77:L
23:(
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