ratkowsky_83: Ratkowsky equation of development rate as a function of...

In devRate: Quantify the Relationship Between Development Rate and Temperature in Ectotherms

Ratkowsky equation of development rate as a function of temperature (Shi 2016 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. J., Reddy, G. V., Chen, L., and Ge, F. (2015). Comparison of thermal performance equations in describing temperature-dependent developmental rates of insects: (I) empirical models. Annals of the Entomological Society of America, 109(2), 211-215.

Usage

ratkowsky_83

Format

A list of eight elements describing the equation.

eq

The equation (formula object).

eqAlt

The equation (string).

name

The name of the equation.

ref

The equation reference.

refShort

The equation reference shortened.

startVal

The parameters found in the literature with their references.

com

An optional comment about the equation use.

id

An id to identify the equation.

Details

Equation:

rT = (cc * (T - T1) * (1 - e^{k * (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, cc the slope of the regression as in the rootsq_82 equation, and k a constant. The Ratkowsky model designed for microorganisms has been modified by Shi et al. 2016 to describe the temperature-dependent development rates of insects.

References

\Sexpr[results=rd]{tools:::Rd_expr_doi("10.1093/aesa/sav121")}

devRate documentation built on Aug. 24, 2023, 9:07 a.m.