Temperature-Driven Models for Insect Development and Vital Thermal Requirements

Table 1

Some representative regression models that have been created for the description of temperature-dependent development of insects and related arthropods.

Non-linear model	Equation	Description	Reference
1/𝐷=𝑐/(1+𝑒^(𝑎+𝑏⋅𝑇)),if𝑇≤𝑇opt 1/𝐷=𝑐/(1+𝑒^[(𝑎+𝑏⋅(2⋅𝑇opt−𝑇)]),if𝑇>𝑇opt	(1)	“Stinner” (non-linear)	Stinner et al. 1974 [54]
1/𝐷=𝜓⋅[1/(1+𝑘⋅𝑒^−𝜌⋅𝑇)⋅𝑒^−((𝑇max−𝑇)/Δ)]	(2)	“Logan 10”	Logan et al. 1976 [55]
1/𝐷=𝑎⋅𝑇^3+𝑏⋅𝑇^2+𝑐⋅𝑇+𝑑	(3)	“3rd-order polynomial” (non-linear)	Harcourt and Yee 1982 [56]
1/𝐷=𝑒^𝜌⋅𝑇−𝑒^(𝜌⋅𝑇max−(𝑇max−𝑇/Δ))+𝜆	(4)	“Lactin” (non-linear)	Lactin et al. 1995 [57]
1/𝐷=𝑎⋅𝑇⋅(𝑇−𝑇min)⋅(𝑇max−𝑇)	(5)	“Briere 1” (non-linear)	Briere et al. 1999 [29]
1/𝐷=𝑎⋅𝑇⋅(𝑇−𝑇min)⋅(𝑇max−𝑇)^(1/𝑚)	(6)	“Briere 2” (non-linear)	Briere et al. 1999 [29]
1/𝐷=𝜌⋅(𝑎−𝑇/10)⋅(𝑇/10)^𝛽	(7)	“Simplified beta type” (non-linear)	Damos and Savopoulou-Soultani 2008 [27]
1/𝐷=𝑎/(1+𝑏𝑇+𝑐𝑇^2)	(8)	“Inverse second-order polynomial 1”	This study