devRate (version 0.1.1)

ratkowsky_82: Ratkowsky equation of development rate as a function of temperature (Shi modification).

Description

Ratkowsky, D.A., Olley, J., McMeekin, T.A., and Ball, A. (1982) Relationship between temperature and growth rate of bacterial cultures. Journal of Bacteriology 149(1): 1-5.

Ratkowsky, D.A., R.K. Lowry, T.A. McMeekin, A.N. Stokes, and R.E. Chandler. 1983. Model for bacterial culture growth rate throughout the entire biokinetic temperature range. Journal of Bacteriology 154: 1222-1226.

Shi, P., Ge, F., Sun, Y., and Chen, C. (2011) A simple model for describing the effect of temperature on insect developmental rate. Journal of Asia-Pacific Entomology 14(1): 15-20.

Usage

ratkowsky_82

Format

A list of eight elements describing the equation.

Source

http://jb.asm.org/content/149/1/1 http://jb.asm.org/content/154/3/1222

Details

Equation: rT ~ (sqrt(cc) * k1 * (T - T1) * (1 - exp(k2 * (T - T2))))^2

where rT is the development rate, T the temperature, T1 and T2 the minimum and maximum temperatures at which rate of growth is zero, sqrt(cc) * k1 the slope of the regression as in the rootsq_82 equation, and k2 a constant. The Ratkowsky model designed for microorganisms has been modified by Shi et al. 2011 to describe the temperature-dependent developmental rates of insects.