Linking genes, brain structure
            and
            intelligence.
          (Gray & Thompson 2004) 
      
    
      a | Genetic influences on intelligence
        have
        been assessed directly (top arrow). The consensus of many
      studies is that at least 40%
      of the variability in general
        cognitive ability ("Spearman's
        g factor")
      can be attributed to genetic factors. Gene effects on brain
      structure
      can be assessed by collecting MRI
      (Magnetic Resonance
        Imaging) brain
      scans (left) from twins or
      extended families, and comparing volumes of grey matter (green), white
        matter (red) or cerebrospinal
        fluid (blue). Overall
        brain volume
        is 85% heritable and
        correlates with psychometric intelligence (0.33)*.
      Genetic modelling has shown that g and grey matter volumes depend on the
      same set of genes (the genetic correlation is about 0.25)*.
      The volume of grey matter in each lobe is genetically influenced
      to
      different degrees (the volume of grey matter in the frontal lobe,
      shown
      at right in yellow and pink, is highly heritable). 
      
      b | Genetic influences on brain structure
        can
        be assessed using statistical maps.
      In the classical twin design, a feature is heritable if
within-pair
correlations
      (typically called intra-class correlations) are higher for
      pairs of identical twins (who share all their genes, except for
      rare
      somatic mutations) and lower for same-sex fraternal twin pairs
      (who, on
      average, share half their genes). To better understand genetic
      influences on brain structure, correlations are shown for regional
      grey
      matter volumes in sets of identical
      (monozygotic (MZ)) and fraternal
      (dizygotic (DZ)) twins. These correlations vary
      across the brain
      surface (red, highly correlated; blue, less well correlated). The
      structure of the brains of identical twins is more similar than
      that of
      fraternal twins. F,
      frontal cortex; S/M,
      primary sensorimotor cortex;
      W, Wernicke’s area. 
      
      c | Heritability (h2) is defined as the fraction of the phenotypic variance due to genotypic variance (as compared with environmental variance). Because monozygotic
      (MZ) and dizygotic (DZ) twins are related by 1.0
      and
      0.5, respectively, heritability
      for a trait value (x) can
      be
      estimated as twice the
      difference between the correlations measured in monozygotic versus dizygotic
      twins:  h2(x) =
        (2)(rMZ(x) -
        rDZ(x)) .  This
      applies for example to measures of grey matter volumes at each
      location
      in the cortex. 
      
      d | Statistical significance of the
        heritabilities.
      These can also be estimated from path analyses. Variations in grey
      matter volumes are strongly influenced by genetic factors,
      especially
      in frontal brain regions (for example, the dorso-lateral
      pre-frontal
      cortex). A subsequent study in a larger, independent sample found
      that
      variations in total grey matter volume were almost entirely
      attributable to genetic factors (but three-dimensional maps of
      these
      effects were not created). These genetically mediated differences
      in
      brain structure explain a proportion of the variation in general
      cognitive ability. This ability is also influenced by non-genetic
      factors such as education and nutrition, prenatal and family
      environments, training and environmental hazards such as lead
      poisoning.
      
      [*Note that "statistical significance" means that the degree of correlation is non-random, not that the value of the correlation is
      large. In part (a), the
      genetic
      correlation of Spearman's g with brain metrics are significant (non-random)
      but small (0.25 & 0.33). In general, studies
      with more
      data are able to identify statistical significance of smaller
      phenotypic differences. ]