A FLEXIBLE GROWTH FUNCTION FOR EMPIRICAL USE
A FLEXIBLE GROWTH FUNCTION FOR EMPIRICAL USE
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DOI：
10.1093/jxb/10.2.290
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发表时间：
1959-01-01
影响因子：
6.9
通讯作者：
RICHARDS, FJ
中科院分区：
文献类型：
--
作者：
RICHARDS, FJ
考虑了函数W1-m=a1-m-[β]e-kt在植物生长数据中的应用，并举例说明(W表示时刻t的大小，A，S[β]，k和m是常数，A是最终大小)。作为特例，该函数包括自催化曲线(m=2)、Gompertz(m=1)和单分子(m=0)。M在0和2之间的所有值都会导致曲线形式介于单分子和自催化之间；大于2的值会使拐点逐渐超过W=A/2，曲线的早期部分然后越来越接近指数形式--但增长总是有限的。“速率常数”K的意义依赖于m，因此用不同m‘’的S曲线来比较k‘’S是无益的，但结果表明，3个参数k/m、k/(2m+2)和ak/(2m+2)中的每一个都产生了具有生物学意义的信息，其重要性作为整个生命历史的加权平均增长率不随m而改变。
Application of the function W1-m = A1-m - [beta]e -kt to growth data from plants is considered, with examples (W represents size at time t, and A, s[beta], k and m are constants, A being the final size). This function includes as special cases the autocatalytic curve (m = 2), the Gompertz (m = 1), and the monomolecular (m = 0). All values of m between 0 and 2 lead to curves intermediate in form between the monomolecular and the autocatalytic; increasing values above 2 take the point of inflection progressively beyond W = A/2, the early parts of the curves then approaching more and more closely to the exponential form-but growth is always limited. The meaning of the "rate constant" K is dependent on m, so that comparison between k''s from curves with different m''s is not profitable; but it is shown that each of the 3 parameters k/m, k/(2m+2) and AK/(2m+2) yields information of biological interest whose significance, as a weighted mean growth rate throughout life history, does not change with m.