schoolfieldHigh_81: Schoolfield et al. equation of development rate as a function...

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

Schoolfield et al. equation of development rate as a function of temperature for intermediate to high temperatures only.

Description

Schoolfield, R., Sharpe, P. & Magnuson, C. (1981) Non-linear regression of biological temperature-dependent rate models based on absolute reaction-rate theory. Journal of theoretical biology, 88, 719-731. Wagner, T.L., Wu, H.I., Sharpe, P.S.H., Schoolfield, R.M., Coulson, R.N. (1984) Modeling insect development rates: a literature review and application of a biophysical model. Annals of the Entomological Society of America 77(2): 208-20.

Usage

schoolfieldHigh_81

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 = \frac{p25 * \frac{T + 273.16}{298} * e^{\frac{aa}{1.987} * (\frac{1}{298} - \frac{1}{T + 273.16})}}{1 + e^{\frac{dd}{1.987} * (\frac{1}{ee} - \frac{1}{T + 273.16})}}

where rT is the development rate, T the temperature, p25 the development rate at 25 degrees Celsius assuming no enzyme inactivation, aa the enthalpy of activation of the reaction that is catalyzed by the enzyme, bb the change in enthalpy associated with low temperature inactivation of the enzyme, cc the the temperature at which the enzyme is 1/2 active and 1/2 low temperature inactive, dd the cange in enthalpy associated with high temperature inactivation of the enzyme, and ee the temperature at which the enzyme is 1/2 active and 1/2 high temperature inactive.

References

\Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/0022-5193(81)90246-0")}

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