page_title: Von Bertalanffy function
hierarchical_section_title: Von Bertalanffy function
caption_attribution_description: English: Title: Bulletin - Southern California Academy of Sciences Identifier: bulletinsout11012011sout (find matches) Year: 1902 (1900s) Authors: Southern California Academy of Sciences Subjects: Science Publisher: Los Angeles&#160;: Southern California Academy of Sciences Contributing Library: Smithsonian Libraries Digitizing Sponsor: Biodiversity Heritage Library View Book Page: Book Viewer About This Book: Catalog Entry View All Images: All Images From Book Click here to view book online to see this illustration in context in a browseable online version of this book. Text Appearing Before Image: 32 SOUTHERN CALIFORNIA ACADEMY OF SCIENCES Table 2. Sample size (N), mean standard length (mmSL), von Bertalanffy estimate of SL, mean weight (Wt in grams) and von Bertalanffy estimate of Wt (g) of each age class of halfmoon. Age Class N 0 17 1 45 2 44 3 18 4 8 5 2 6 1 7 0 8 2 Mean SL Est. SL 26.0 185.5 218.8 235.6 247.9 272.5 297.0 297.5 34.4 160.3 222.8 253.8 269.2 276.8 280.6 282.5 283.4 and Robertson 2002). Similarly, age estimates of a central California herbivorous fish, monkeyface prickleback (Cebidichthys violaceus), are much higher than opaleye and halfmoon with a maximum age of 18 years (Marshall and Echeverria 1991). Understanding life history attributes is important to evaluating the position of fishes in ecosystem food webs and their role in ecosystem processes. The results of this study indicate opaleye and halfmoon are relatively short-lived, fast growing fishes. The growth characteristics of opaleye and halfmoon coupled with their high abundance and productivity (Bredvik 2008, Boerger unpub. data) indicate that these herbivorous fishes may greatly influence the flow of energy in kelp forest ecosystems and their trophic role should be closely examined in future management of kelp forest communities (Adams 1980, King and McFarlane 2003, Depczynski et al. 2007, Leslie and McLeod 2007). 300 250 3 200 CO E ^ 150 S 100 50 Text Appearing After Image: R2 = 0.98 L^ = 275.2 K = 0.52 to = -0.47 8 9 10 Age Class Fig. 5. Von Bertalanffy growth curve , R^, L^, K, to values for opaleye (Girella nigricans) fitted to standard length (mm, mean ± std) at age for all fish combined. Age-0, I, and II were determined by length frequency analysis (Pauly and David 1981). Note About Images Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original work.
context_page_description: The von Bertalanffy growth function, or von Bertalanffy curve, is a type of growth curve model for a time series and is named after Ludwig von Bertalanffy. It is a special case of the generalised logistic function. The growth curve is used to model mean length from age in animals. The function is commonly applied in ecology to model fish growth.
  The model can be written as the following:
  where is age, is the growth coefficient, is a value used to calculate size when age is zero, and is asymptotic size. It is the solution of the following linear differential equation:
context_section_description: The von Bertalanffy growth function (VBGF), or von Bertalanffy curve, is a type of growth curve model for a time series and is named after Ludwig von Bertalanffy. It is a special case of the generalised logistic function. The growth curve is used to model mean length from age in animals. The function is commonly applied in ecology to model fish growth.
  The model can be written as the following:
  where  is age,  is the growth coefficient,  is a value used to calculate size when age is zero, and  is asymptotic size.  It is the solution of the following linear differential equation:
caption: Von Bertalanffy growth curve fit to Girella nigricans.
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