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Table 1 Mathematical models used to describe the effect of temperature on the developmental rate of the common green lacewing, Chrysoperla carnea, and their capacity to estimate three important biological parameters

From: Modeling of the effect of temperature on developmental rate of common green lacewing, Chrysoperla carnea (Steph.) (Neuroptera: Chrysopidae)

Model

Tmin

Topt

Tmax

Equation

Reference

Briere-1

\( \frac{1}{D}= aT\left(T-{t}_{\mathrm{min}}\right)\sqrt{\left({t}_{\mathrm{max}}-T\right)} \)

Briere et al. (1999)

Briere-2

\( \frac{1}{D}= aT\left(T-{t}_{\mathrm{min}}\right){\left({T}_{\mathrm{max}}-T\right)}^{\frac{1}{d}} \)

Briere et al. (1999)

Lactin-2

-

\( \frac{1}{D}={e}^{\rho T}-{e}^{\left(\rho {T}_L-\left(\frac{T_L-T}{\Delta T}\right)\right)}+\lambda \)

Lactin et al. (1995)

Logan-6

\( \frac{1}{D}=\psi \left[{e}^{\rho T}-{e}^{\left(\rho {t}_{\mathrm{max}}-\frac{t_{\mathrm{max}}-T}{\Delta}\right)}\right] \)

Logan et al. (1976)

Logan-10

\( \frac{1}{D}=a\left[\frac{1}{1+{ke}^{-\rho T}}-{e}^{\left(-\frac{t_{\mathrm{max}}-T}{\Delta}\right)}\right] \)

Logan et al. (1976)

Polynomial 3rd order

-

\( \frac{1}{D}={aT}^3+{bT}^2+ cT+d \)

Harcourt and Yee (1982)

  1. *shows the model has ability to estimate this biological parameter