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Inference of ecological and social drivers of human brain-size evolution

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Abstract and Figures

The human brain is unusually large. It has tripled in size from Australopithecines to modern humans¹ and has become almost six times larger than expected for a placental mammal of human size². Brains incur high metabolic costs³ and accordingly a long-standing question is why the large human brain has evolved⁴. The leading hypotheses propose benefits of improved cognition for overcoming ecological⁵⁻⁷, social⁸⁻¹⁰ or cultural¹¹⁻¹⁴ challenges. However, these hypotheses are typically assessed using correlative analyses, and establishing causes for brain-size evolution remains difficult15,16. Here we introduce a metabolic approach that enables causal assessment of social hypotheses for brain-size evolution. Our approach yields quantitative predictions for brain and body size from formalized social hypotheses given empirical estimates of the metabolic costs of the brain. Our model predicts the evolution of adult Homo sapiens-sized brains and bodies when individuals face a combination of 60% ecological, 30% cooperative and 10% between-group competitive challenges, and suggests that between-individual competition has been unimportant for driving human brain-size evolution. Moreover, our model indicates that brain expansion in Homo was driven by ecological rather than social challenges, and was perhaps strongly promoted by culture. Our metabolic approach thus enables causal assessments that refine, refute and unify hypotheses of brain-size evolution.
Method implementation a, Typical result with convergence to an uninvadable growth strategy. For the ith best-response iteration, the growth strategy shown is the resident (v) whose best response (u~∗)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$({\mathop{u}\limits^{ \sim }}^{\ast })$$\end{document} is shown next, which is the resident of the i + 1th iteration. Convergence to a best response to itself (u∗)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$({u}^{\ast })$$\end{document} was declared visually, in this case, at iteration 21. b–f, Reporting variables across the best-response iterations in a. b–e, Resulting adult body mass, brain mass, skill level and encephalization quotient across iterations. These values tend to converge more quickly than the growth strategy (a). f, Rather than visually declaring convergence, convergence should ideally be declared when the difference between mutant and resident is below a chosen threshold. However, numerical jittering prevented the use of this criterion. For example, f shows the maximum of ũ∗(t)-v(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left|{\tilde{\rm{u}}}^{\ast }(t)-v(t)\right|$$\end{document} across t for each iteration in a. Without numerical jittering, this maximum should decrease as the growth strategy approaches a best response to itself. However, numerical jittering causes this maximum to be at least equal to the maximum mutation size δ = 0.1. The maximum of ũ∗(t)-v(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left|{\tilde{\rm{u}}}^{\ast }(t)-v(t)\right|$$\end{document} is occasionally greater than δ because ũ∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\tilde{\rm{u}}}^{\ast }$$\end{document} and v have different partitions over t and we use the following approximation: for each t in the t partitioning of ũ∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\tilde{\rm{u}}}^{\ast }$$\end{document}, we find the closest t in the t partitioning of v and calculate the difference ũ∗(t)-v(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left|{\tilde{\rm{u}}}^{\ast }(t)-v(t)\right|$$\end{document} at these relatively close times; this may occasionally cause the difference to be the larger than δ when strategies change suddenly with t. Alternative measures of convergence were similarly inadequate (for example, Σtũ∗(t)-v(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rm{\Sigma }}}_{t}\left|{\tilde{\rm{u}}}^{\ast }(t)-v(t)\right|$$\end{document}). g, We implement maternal provisioning differently than before²⁴ to incorporate it when there are social challenges. The difference yields no detectable difference in predicted brain and body mass with only ecological challenges after slightly adjusting the EEE from maternal provisioning of a newborn (φ0): before²⁴, φ0 = 0.6 for power and φ0 = 0.8 for exponential competence were used; here, φ0 = 0.4 for power and φ0 = 0.6 for exponential competence were used. h, Three ways to measure adult fit: (1) at the predicted age of adulthood xB∗ta-XBta\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left({x}_{{\rm{B}}}^{\ast }\left({t}_{{\rm{a}}}\right)-{X}_{{\rm{B}}}\left({t}_{{\rm{a}}}\right)\right)$$\end{document}; (2) at the observed age of adulthood xB∗(τa)-XB(τa)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left({x}_{{\rm{B}}}^{\ast }({\tau }_{{\rm{a}}})-{X}_{{\rm{B}}}({\tau }_{{\rm{a}}})\right)$$\end{document}; and (3) at the predicted age of adulthood for the prediction and at the observed age of adulthood for the observation xB∗ta-XB(τa)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left({x}_{{\rm{B}}}^{\ast }\left({t}_{{\rm{a}}}\right)-{X}_{{\rm{B}}}({\tau }_{{\rm{a}}})\right)$$\end{document}. We use option 2.
… 
Effects of Q and R parameters a, b, Effects of maintenance costs (Bi) on the corresponding tissue mass or skill level. Each Bi tends to decrease the value xi∗(τa)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${x}_{i}^{\ast }({\tau }_{{\rm{a}}})$$\end{document} for the corresponding i, but not necessarily for the other i (see c, d). c, d, Effect of Bi on adult brain mass, body mass and encephalization quotient. With power competence (c), when Bb = 310 and 340 MJ kg⁻¹ per year (y), the predicted adult brain mass is xb∗(τa)=1.0298\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${x}_{{\rm{b}}}^{\ast }({\tau }_{{\rm{a}}})=1.0298$$\end{document} and 0.9133 kg, respectively. With exponential competence (d), when Bb = 310, 340 and 370 MJ kg⁻¹ y⁻¹, the predicted adult brain mass is xb∗(τa)=1.542\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${x}_{{\rm{b}}}^{\ast }({\tau }_{{\rm{a}}})=1.542$$\end{document}, 1.3973 and 1.2767 kg, respectively. e, f, Effects of Br when Br is small. When Br varies between 70 and 2,700 MJ kg⁻¹ y⁻¹, Br has no detectable effect on adult brain mass and encephalization quotient. g, h, Ontogenetic fit with H. sapiens around the used values for each of the R parameters (except δ). The ontogenetic fit is approximately maximized around the benchmark values chosen previously²⁴, which are also used here (except for φ0 given our improved implementation of φ). i, Effect of Br on the predicted life history with exponential competence. In the left column, from top to bottom, as Br decreases, the allocation to the growth of reproductive tissue during adolescence increases (ur∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${u}_{{\rm{r}}}^{\ast }$$\end{document} between tm and ta) and adolescence shortens. In the central column, the increased allocation to the growth of reproductive tissue increases the mass of reproductive tissue, but brain mass does not change with Br for Br ≥ 70 MJ kg⁻¹ y⁻¹. In the right column, as the mass of reproductive tissue increases, body mass increases slightly, which is more noticeable for Br ≤ 100 MJ kg⁻¹ y⁻¹. An exceedingly small Br (<70 MJ kg⁻¹ y⁻¹) disrupts the predicted life history, which with Br = 60 MJ kg⁻¹ y⁻¹ is severely different from that of H. sapiens (for example, there is brain growth late in life and reproductive growth from birth). Similar results arise for even smaller Br. In a–i there are only ecological challenges and we use the previous²⁴ definition of φ.
… 
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LETTER https://doi.org/10.1038/s41586-018-0127-x
Inference of ecological and social drivers of human
brain-size evolution
Mauricio González-Forero1* & Andy Gardner1
The human brain is unusually large. It has tripled in size from
Australopithecines to modern humans1 and has become almost
six times larger than expected for a placental mammal of human
size2. Brains incur high metabolic costs3 and accordingly a long-
standing question is why the large human brain has evolved
4
. The
leading hypotheses propose benefits of improved cognition for
overcoming ecological5–7, social8–10 or cultural1114 challenges.
However, these hypotheses are typically assessed using correlative
analyses, and establishing causes for brain-size evolution remains
difficult15,16. Here we introduce a metabolic approach that enables
causal assessment of social hypotheses for brain-size evolution. Our
approach yields quantitative predictions for brain and body size
from formalized social hypotheses given empirical estimates of the
metabolic costs of the brain. Our model predicts the evolution of
adult Homo sapiens-sized brains and bodies when individuals face a
combination of 60% ecological, 30% cooperative and 10% between-
group competitive challenges, and suggests that between-individual
competition has been unimportant for driving human brain-size
evolution. Moreover, our model indicates that brain expansion in
Homo was driven by ecologic al rather than social challenges, and was
perhaps strongly promoted by culture. Our metabolic approach thus
enables causal assessments that refine, refute and unify hypotheses
of brain-size evolution.
The leading hypotheses for the evolution of brain size make differ-
ent suggestions as to which cognitive challenges have been the most
important in driving brain expansion. ‘Ecological-intelligence’ hypoth-
eses emphasize challenges posed by the non-social environment, for
example, finding, caching or processing food
5–7
(Fig.1). By contrast,
‘social-intelligence’ hypotheses emphasize challenges posed by the social
environment, for example, cooperating for resource extraction10,15,
manipulating others, avoiding manipulation or forming coalitions
and alliances to outcompete others8,9 (Fig.1). Social challenges have
been suggested to constitute particularly powerful drivers of brain
expansion, because they may have triggered evolutionary arms races
in cognition
8–10
. Finally, ‘cultural-intelligence’ hypotheses emphasize
challenges of learning from others, teaching and doing so when there is
accumulated cultural knowledge
1114
. Empirical tests of these hypoth-
eses customarily investigate phylogenetically controlled correlations
between brain size (or the size of brain components) and candidate
selective factors (for example, diet type
5,17
, tactical-deception rate
18
,
group size
10,19
and social-learning proclivity
20
). However, establishing
causality has proven to be difficult. For example, given a positive cor-
relation, it is unclear whether large group sizes favour bigger brains or
big brains enable larger group sizes
16
. Moreover, there is the quantitative
problem of explaining not only why bigger brains are favoured, but also
why they are favoured to the particularly large size observed in humans
(around 1.3 kg for a body size ofapproximately 50 kg in females21,22).
To address these problems, we merge elements of metabolic theory23,
life-history theory and differential games to obtain quantitative predic-
tions for the evolution of brain and body size when individuals face
ecological and social challenges given metabolic costs of the brain. Our
approach incorporates social interactions into a previous non-social
model
24
(Supplementary Information1–3). As a first approximation,
we consider a female population and partition the body mass of each
individual into three tissues: ‘brain, ‘reproductive’ and other ‘somatic’
tissue(Fig. 2a). Part of the energy consumption of reproductive tissue
is for the production and maintenance of offspring, whereas part of
energy consumption of the brain is for production (learning) and main-
tenance (memory) of energy-extraction skills. Accordingly, at each age
the individual has a certain skill level measured in information units
(that is, bytes). She extracts energy by using her skill level to overcome
ecological or social energy-extraction challenges. Success in an ecolog-
ical challenge depends on her own skill level, whereas success in a social
challenge depends on her skill level and that of her social partners. We
1School of Biology, University of St Andrews, St Andrews, UK. *e-mail: mgf3@st-andrews.ac.uk
Challenges
Ecological Social
Cooperative Competitive
Between individuals Between groups
‘Me versus nature’ ‘Us versus nature’ ‘Me versus you’ ‘Us versus them’
Fig. 1 | Ecological and social hypotheses for brain expansion. Ecological
hypotheses emphasize challenges ‘against nature, whereas social
hypotheses emphasize challenges involving social partners. Here we
partition these hypotheses into four types of challenges that are expected
to trigger different evolutionary processes.
Corrected: Publisher Correction
Corrected: Author Correction
554 | NATURE | VOL 557 | 24 MAY 2018
© 2018 Macmillan Publishers Limited, part of Springer Nature. All rights reserved.
... This study also relates more broadly to the scientific literature on human brain size evolution; see Heldstab et al. (2022) for a survey. A recent study by Gonzalez-Forero and Gardner (2018) provides a quantitative analysis on the evolution of human brain and finds that ecological challenges for "finding, caching or processing food" are the main reason for human brain evolution. Robson and Kaplan (2003) provide an economic analysis on the development of human brain as health capital that is accumulated by bodily investment to reduce mortality. ...
... 4 See van Valen (1974) and Lynn (1990) for estimates of the cognitive advantage of a larger human brain size. See Gonzalez-Forero and Gardner (2018) for estimates of the metabolic costs of the human brain. 5 See Hansson and Stuart (1990) and Rogers (1994) for early economic models of natural selection of agents with different time preferences but not in a Malthusian environment. ...
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... Estudios recientes relacionan las fluctuaciones de la temperatura media anual con el tamaño corporal de los neandertales y Homo sapiens. Basándose en la hipótesis del estrés ambiental, 4 el que los homínidos más corpulentos viviesen en las regiones más frías estaba en línea con la regla biogeográfica de Bergmann 5 y estudios previos sobre homínidos y otros animales (Ruff, 1994;González-Forero y Gardner, 2018). Según esta hipótesis, el estrés térmico derivado de las temperaturas frías fue mitigado por la adaptación fenotípica: el cuerpo cada vez era más grande a causa de la selección natural, la plasticidad o ambas. ...
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