ratkowsky_82: 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 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.

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 = (\sqrt{cc} * k1 * (T - T1) * (1 - e^{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 development rates of insects.

References

\Sexpr[results=rd]{tools:::Rd_expr_doi("10.1128/jb.149.1.1-5.1982")} \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1128/jb.154.3.1222-1226.1983")}

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