| schoolfieldLow_81 {devRate} | R Documentation |
Schoolfield et al. equation of development rate as a function of temperature for intermediate to low 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
schoolfieldLow_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{bb}{1.987} * (\frac{1}{cc} - \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
doi:10.1016/0022-5193(81)90246-0