Table 1 Parameter values for mammals

From: Dynamics of starvation and recovery predict extinction risk and both Damuth’s law and Cope’s rule

Definition

Parameter

Value

References

Asymptotic adult mass

M

(g)

 

Initial mass of an organism

m 0

(g)

 

Metabolic rate scaling exponent

η

3/4

64,65,66

Metabolic normalization constant

B 0

0.047 (W g−0.75)

66

Initial mass scaling exponent

υ

0.92

74,75

Initial mass scaling normalization constant

n 0

0.097 (g1−υ)

74,75

Fat mass scaling exponent

γ

1.19

78

Fat scaling normalization constant

f 0

0.02 (g1−η)

78

Muscle mass scaling exponent

ζ

1.00

79

Muscle scaling normalization constant

u 0

0.38 (g1−ζ)

79

Energy to synthesize a unit of mass

E m

5774 (J g−1)

64,65,66

Energy to synthesize a unit of mass during recovery

Em

7000 (J g−1)

66,76

Specific resource growth rate

α

9.45×10−9 (s−1)

See text

Fraction of asymptotic mass representing full state

ε λ

0.95

64

Fraction of asymptotic mass representing starving state

ε σ

1−f0Mγ−1

See text

Fraction of asymptotic mass representing death

ε μ

\(1 - \frac{{f_{\mathrm{0}}M^\gamma + u_{\mathrm{0}}M^\zeta }}{M}\)

See text

Carrying capacity (maximum density) of resources

C

(g m−2)

 

Half-saturation constant

k

(g m−2)

 

Normalized carrying capacity

ξ

C/≈ 2

 

Reproductive fecundity

ν

2