Arrhenius.temp.response {bigleaf} R Documentation

## (Modified) Arrhenius Temperature Response Function

### Description

(Modified) Arrhenius function describing the temperature response of biochemical parameters.

### Usage

Arrhenius.temp.response(
param,
Temp,
Ha,
Hd,
dS,
constants = bigleaf.constants()
)


### Arguments

 param Parameter measured at measurement temperature (umol m-2 s-1) Temp Measurement temperature (degC) Ha Activation energy for param (kJ mol-1) Hd Deactivation energy for param (kJ mol-1) dS Entropy term for param (kJ mol-1 K-1) constants Kelvin - conversion degree Celsius to Kelvin Rgas - universal gas constant (J mol-1 K-1) kJ2J - conversion kilojoule (kJ) to joule (J)

### Details

The function returns the biochemical rate at a reference temperature of 25degC given a predefined temperature response function. This temperature response is given by a modified form of the Arrhenius function:

param25 = param / ( exp(Ha * (Temp - Tref) / (Tref*Rgas*Temp)) * (1 + exp((Tref*dS - Hd) / (Tref * Rgas))) / (1 + exp((Temp*dS - Hd) / (Temp * Rgas))) ) 

where param is the value/rate of the parameter at measurement temperature, Temp is temperature in K, Tref is reference temperature (298.15K), and Rgas is the universal gas constant (8.314 J K-1 mol-1). Ha is the activation energy (kJ mol-1), Hd is the deactivation energy (kJ mol-1), and dS the entropy term (kJ mol-1 K-1) of the respective parameter.

If either Hd or dS or both are not provided, the equation above reduces to the first term (i.e. the common Arrhenius equation without the deactivation term.)

### Value

param25 - value of the input parameter at the reference temperature of 25degC (umol m-2 s-1)

### References

Johnson F.H., Eyring H., Williams R.W. 1942: The nature of enzyme inhibitions in bacterial luminescence: sulfanilamide, urethane, temperature and pressure. Journal of cellular and comparative physiology 20, 247-268.

Kattge J., Knorr W., 2007: Temperature acclimation in a biochemical model of photosynthesis: a reanalysis of data from 36 species. Plant, Cell and Environment 30, 1176-1190.

[Package bigleaf version 0.8.2 Index]