Washington State University
May 16, 2026
Wood et al. (2023)
Total energy expenditure (TEE) from global samples using doubly labeled water (Pontzer et al. 2021; Bajunaid et al. 2025)
Kraft et al. (2021)
| Skill ontogeny | \(b_1\) | 50% | 95% |
|---|---|---|---|
| Fast | 0.40 | 10 | 17 |
| Medium | 0.25 | 15 | 27 |
| Slow | 0.15 | 20 | 40 |
Values averaged from the Ache, Agta, Hadza, Hiwi, and !Kung (Davison and Gurven 2021)
Population model
Family model
Averaged across the parameter space
Averaged across the parameter space
It’s parent absence, not father absence, that mattered
Relatively rapid reproduction of slow developing, energetically expensive offspring threatened to plunge families into energy deficit
Maturing offspring began to support themselves early on
Young couples without kids produced a surplus, perhaps subsidizing the wife’s younger siblings (bride service)
Older parents with few offspring produced a surplus, subsidizing their children’s families
Menopause limited family size to an energetically sustainable level
Results are generally consistent with ECM and the grandmother hypothesis
\[ \mathrm{productivity}(age) = \mathrm{TEE}_{prop} \mathrm{strength}(age)^\alpha \mathrm{skill}(age)^{1 - \alpha} \tag{1}\]
\[ \mathrm{strength}(age, sex) = \frac{\mathrm{weight}(age, sex) (1 - e^{b_0 (age_{\mathrm{max}}-age)})}{\mathrm{weight}_{\mathrm{max}}} \tag{2}\]
\[ \mathrm{skill}(age) = \frac{1}{1 - e^{-b_1(age - age_{50})}} (1 - e^{b_0(age_{\mathrm{max}}-age)}) \tag{3}\]