Normalization constant calculation

Calculates the normalization constant for the metabolic scaling based on a known or estimated parameter value under at a reference temperature.

Usage

calculate_normalization_constant(
  parameter_value,
  scaling_exponent,
  mass,
  reference_temperature,
  E = NULL,
  k = 8.617333e-05,
  warn_if_possibly_false_input = getOption("metaRange.verbose", default = FALSE) > 0
)

Arguments

parameter_value

<numeric> estimated parameter value at the reference temperature.

scaling_exponent

<numeric> allometric scaling exponent of the mass.

mass

<numeric> mean (individual) mass.

reference_temperature

<numeric> reference temperature in kelvin (K).

E

<numeric> Activation energy in electronvolts (eV).

k

<numeric> Boltzmann's constant (eV / K).

warn_if_possibly_false_input

<boolean> Print a warning if the input is different from the known literature value combinations.

Value

The calculated normalization constant.

Details

Note the different scaling values for different parameter. The following is a summary from table 2 in Brown, Sibly and Kodric-Brown (2012) (see references).

Parameter	Scaling exponent	Activation energy
resource usage	3/4	-0.65
reproduction, mortality	-1/4	-0.65
carrying capacity	-3/4	0.65

References

Brown, J.H., Gillooly, J.F., Allen, A.P., Savage, V.M. and West, G.B. (2004) Toward a Metabolic Theory of Ecology. Ecology, 85 1771--1789. doi:10.1890/03-9000

Brown, J.H., Sibly, R.M. and Kodric-Brown, A. (2012) Introduction: Metabolism as the Basis for a Theoretical Unification of Ecology. In Metabolic Ecology (eds R.M. Sibly, J.H. Brown and A. Kodric-Brown) doi:10.1002/9781119968535.ch

See also

metabolic_scaling()

Examples

calculate_normalization_constant(
    parameter_value = 1,
    scaling_exponent = -1 / 4,
    mass = 1,
    reference_temperature = 273.15,
    E = -0.65
)
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