Table 1:

List of g( · )’s functions based on growth curves

Model		Parameters	Continuous curve y(u)	Value at the turning point	Examples
GRC		,,p ∈ (0, 1),	NA		[7,28,29]
Richards		,,	K[1 + Aexp ( − λαu)]−1/α,where		[30–34]
GLC		,,p ∈ (0, 1)	N/A		[7,35,36,37]
Logistic		,λ ∈ (0, 1)	K[1 + Aexp ( − λu)]−1,where		[3,6,7,28,38]
von Bertalanffy		,	,where		[6]
Gompertz		,λ ∈ (0, 1)	Kexp [Aexp ( − λu)],where		[6]
GGC		,p ∈ (0, 1)	[A + λu(1 − p)]1/(1 − p),where A = y(0)1 − p	NA	[7,29, 35, 36,39]

GGC: generalized growth curve; GLC: generalized logistic curve; GRC: generalized Richards curve; NA: not applicable.