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
Relatively rapid reproduction of slow developing, energetically expensive offspring plunges families into energy deficit
Maturing offspring began to support themselves early on, and then disperse to start their own families
Older parents with only a few older, more productive offspring now produce a surplus, subsidizing their children’s families entering energy deficit
Menopause limited family size to an energetically sustainable level, and thus emerges as an essential factor in the distinctive human life history pattern
Results are generally consistent with ECM and the grandmother hypothesis
\[ \mathrm{productivity}(age) = \mathrm{TEE}_{prop} \mathrm{strength}(age)^\alpha \mathrm{skill}(age)^{1 - \alpha} \tag{1}\]
\[ \mathrm{strength}(age, sex) = \frac{\mathrm{weight}(age, sex) (1 - e^{b_0 (age_{\mathrm{max}}-age)})}{\mathrm{weight}_{\mathrm{max}}} \tag{2}\]
\[ \mathrm{skill}(age) = \frac{1}{1 - e^{-b_1(age - age_{50})}} (1 - e^{b_0(age_{\mathrm{max}}-age)}) \tag{3}\]
It’s parent absence, not father absence, that mattered