2015
DOI: 10.1590/0103-9016-2014-0212
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Inflection and stability points of diphasic logistic analysis of growth

Abstract: Growth functions with inflection points following a diphasic model, can be adjusted by two approaches using segmented regression or the sum of two functions. In both cases, there are two functions, one for each phase, with inflection and stability points. However, when they are summed, the result is a new function and the points of inflection and stability are different from those obtained from using each function individually. A method to determine these points in a diphasic logistics sum of functions is sugg… Show more

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Cited by 11 publications
(7 citation statements)
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“…However, with ageing, the ratio between anabolism and catabolism tends to become one; consequently, the rate of tissue growth decreases (Owens et al ., 1993). The logistic model assumes that after the inflection point, growth rates tend to decrease with time until stabilizing (Verhulst, 1838; Thornley and France, 2007; Mischan et al ., 2015). The inflection point is reached when the instantaneous absolute growth rate (i.e.…”
Section: Discussionmentioning
confidence: 99%
“…However, with ageing, the ratio between anabolism and catabolism tends to become one; consequently, the rate of tissue growth decreases (Owens et al ., 1993). The logistic model assumes that after the inflection point, growth rates tend to decrease with time until stabilizing (Verhulst, 1838; Thornley and France, 2007; Mischan et al ., 2015). The inflection point is reached when the instantaneous absolute growth rate (i.e.…”
Section: Discussionmentioning
confidence: 99%
“…Assuming that double sigmoid curves result from two consecutive growth processes, these can be obtained by the sum of two simple growth functions (MISCHAN et al, 2015). Thus, to describe the double sigmoid growth, two simple sigmoids are considered in a single model, each with the purpose of explaining a certain stage of growth.…”
Section: Introductionmentioning
confidence: 99%
“…The growth curve of a tree may display several inflection points, each representing another sigmoidal growth phase, c.f. [11] and [12], whence a single sigmoidal growth curve is capable of modeling only one of these phases.…”
Section: Namementioning
confidence: 99%