. The Biological bulletin. Biology; Zoology; Biology; Marine Biology. A NEW METHOD OF DESCRIBING GROWTH 145 -Z 30. 10 . 10 50 60 70 Length at age N FIGURE 4. Transformation of the growth curve of a hypothetical animal, drawn in a heavy line to illustrate the dimensions given in the text. Note that the ultimate length, k,, can be located graphically as the point where the length at age n equals the length at age n + 1: also where the transformation intersects a line drawn at 45° through the zero point. Therefore, /„ = 1 - kn 1 - k (4) by the well-known formula for the geometric series. Therefor
. The Biological bulletin. Biology; Zoology; Biology; Marine Biology. A NEW METHOD OF DESCRIBING GROWTH 145 -Z 30. 10 . 10 50 60 70 Length at age N FIGURE 4. Transformation of the growth curve of a hypothetical animal, drawn in a heavy line to illustrate the dimensions given in the text. Note that the ultimate length, k,, can be located graphically as the point where the length at age n equals the length at age n + 1: also where the transformation intersects a line drawn at 45° through the zero point. Therefore, /„ = 1 - kn 1 - k (4) by the well-known formula for the geometric series. Therefore, when n ap- proaches oo, /„ tends to /„, and kn to 0, and so we obtain /i 1 - k (5)' 3 Where this graphical representation gives precisely a straight line, the above calculation shows that /„ is expressed by the formula /„ = Ja>(l — &")• It is a modification of the "Modified Exponential" (cf., Croxton and Cowden, 1940, pp. 441 ff.), but contains one less parameter, and of course applies only to that segment of the growth curve above the inflection 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 Marine Biological Laboratory (Woods Hole, Mass. ); Marine Biological Laboratory (Woods Hole, Mass. ). Annual report 1907/08-1952; Lillie, Frank Rattray, 1870-1947; Moore, Carl Richard, 1892-; Redfield, Alfred Clarence, 1890-1983. Woods Hole, Mass. : Marine Biological Laboratory
Size: 1598px × 1564px
Photo credit: © Library Book Collection / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthorlilliefrankrat, booksubjectbiology, booksubjectzoology
