Abstract
A population’s ability to adapt is determined by its levels of additive genetic variance (V A), and
while it is agreed that most organisms have genetic variation for most traits, the extent to which it
varies between species is poorly characterised. Here we investigate this question by compiling
3209 and 1852 estimates of heritability and evolvability (the additive genetic variance divided by
the square of the mean) estimates respectively, for a variety of traits, from 220 and 172
multicellular eukaryotic sp ecies. Using phylogenetic generalised linear mixed models, we find
substantial and highly significant interspecific variation in evolvability. Much of the variation is
explained by phylogenetic relatedness, with plants in our data having substantially higher
evolvability than animals. While heritability also varies between species, the differences are more
subtle, and plants are not exceptional. We investigate whether the variation in evolvability and
heritability between species is due to variation in the mutation rate, effective population size,
genome size, ploidy and recombination rate, but find little evidence of any factor being important.
However, the confidence intervals are large suggesting that we have little power to detect any
associations between these factors and our estimates of VA.
Introduction
A population’s ability to respond to selection depends on its levels of quantitative genetic
variation or more specifically the additive genetic variation (V A) underlying key traits. It is well
known that most traits have at least some underlying additive genetic variation (Hill et al., 2008;
Falconer and Mackay, 2009) with substantial variation between published estimates. However
not much is known about whether levels vary systematically between species, or about the
factors influencing the observed variation in levels of quantitative genetic variation.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
2
Understanding this is key to understanding the genetic architecture underlying complex traits and
their evolution.
Estimates of V A are not generally comparable between traits and species because they are
measured on different scales. Consequently, VA is typically standardised by dividing the estimate
by the phenotypic variance (VP), yielding the narrow-sense heritability (h2) (Falconer and Mackay,
2009). Historically, the primary focus on heritability arose from the use of the breeder’s equation
in predicting the response to selection (Falconer and Mackay, 2009; Hansen and Pélabon, 2021).
However, relying solely on heritability has some disadvantages for understanding the forces
affecting quantitative genetic variance (QGV) because the additive genetic variance appears in
both the numera tor and the denominator: h 2= V A / (V A + V NA +VE), where V NA is the non -additive
genetic variance and V E is the environmental variance. Furthermore, some of the other variance
components in the denominator are likely to be correlated with V A (Hansen et al. , 2011) .
Therefore, an increase in VA may not lead to a proportional increase in h 2. In light of these issues
and to better understand the additive genetic variance and thereby the adaptive potential of a
population, the evolvability (I A), quantified as V A divided by the square of the mean, was
introduced by Houle (1992); note that in some analyses the square root of the evolvability is taken
to yield the coefficient of additive genetic variance (CVA).
Although DNA sequence diversity is known to vary substantially between species (Leffler et al.,
2012), there is little evidence of variation in V A (Mittell et al., 2015). A recent large -scale analysis
across birds and mammals found significant variation among species in heritability but not CV A
(Young and Postma, 2023) a pattern the authors suggested as being due to variation between
species in the level of non -additive genetic or environmental variance, rather than V A. Previous
comparative studies examining relationships between measures of additive genetic (I A and h 2)
and microsatellite diversity, census population size, or ecological specialization also found no
clear associations which would be indicative of variation in V A (Mittell et al., 2015; Wood et al.,
2016; Martinossi‐Allibert et al., 2017). However, there are some cases in which VA has been shown
to vary between species for particular traits - for example, desiccation and cold resistance, but
not wing size, across Drosophila species (Kellermann et al., 2009). Here, we compile estimates
of IA and h2 from a much broader range of multicellular eukaryotes than has been analysed before
and investigate whether there is significant variation between species.
We also investigate whether I A and h 2 are correlated with various factors expected to influence
the level of additive genetic variance. Most models for the maintenance of quantitative genetic
variation predict that V A should depend on the mutational input V M (Walsh and Lynch, 2018).
Although there is no evidence that estimates of V M differ significantly between species, such
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
3
estimates are relatively few and subject to substantial measurement error (Conradsen et al .,
2022). Therefore, in this study we examine whether VA is correlated with the nucleotide mutation
rate and with the product of the mutation rate and proteome size, which represents the expected
rate of mutations that might affect quantitative genetic variation. We use these as proxies for
mutational input giv en the limited number of V M estimates. We also investigate the effects of
genome size, ploidy levels and the number of genes, as these factors may influence the effective
mutational target size – the total number of sites at which mutations can alter quantitative traits
- beyond what is captured by proteome size alone and thus the mutational input contributing to
additive genetic variation (Walsh and Lynch, 2018; Besnard et al ., 2020 ). Levels of V A are also
expected to depend on the effective population size when the trait is neutral (Lynch and Hill, 1986;
Abson et al., 2025) or selection on the trait is weak (Walsh and Lynch, 2018; Bürger et al., 1989;
Keightley and Hill, 1990). Wood et al. (2016) found no significant correlation between heritability
(h²) and the census population size, however h2 is a poor comparative measure of VA and census
and effective population sizes are thought to be only moderately correlated (Buffalo, 2021; James
and Eyre-Walker, 2020). We test whether VA is correlated to long-term estimates of Ne, estimated
by dividing the nucleotide diversity by a direct measure of the mutation rate. Additionally, we
might expect VA to be influenced by the rate of recombination because recombination mediates
the buildup and breakdown of linkage disequilibrium underlying the Bulmer effect (Bulmer, 1980),
mitigates the reduction of variation caused by Hill-Robertson interference among linked selected
sites (Hill and Robertson, 1966; McVean and Charlesworth, 2000), and limits the formation of
pseudo-overdominance due to linked recessive alleles (Ohta, 1971; Charlesworth and Willis,
2009). We explore this by correlating estimates of V A against the recombination rate per
nucleotide, along with whether the species is obligately sexual, or engages in asexual
reproduction for some parts of its lifecycle. We also examine whether additional biological
variables—such as body mass, body length, longevity, and generation time—are correlated with
our measures of additive genetic variance.
Methodology
Literature search and QGV compilation
Heritability and evolvability estimates were compiled from the peer -reviewed literature indexed
in the Web of Science for the period between 1992 and 2022. Searches were conducted using
“Heritability” or “Evolvability” as topic keywords, with the aim of ca pturing estimates from a
diverse range of species and from natural populations. Therefore, journals focusing on
domesticated, crop species or human populations were excluded. The search was further filtered
by only selecting journals with over 200 papers meeting the search criteria and then scanning the
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
4
first 50 articles by titles when sorted by relevance. This resulted in the choice of four journals:
‘Journal of Evolutionary Biology’, ‘Evolution’, ‘Heredity’ and ‘Proceedings of the Royal Society B’.
When multiple estimates were available for the same tra it within a population, we selected a
single value based on a standardised evaluation of reliability. Preference was given to estimates
derived from larger sample sizes and model structures minimising potential biases. When
estimates were otherwise compara ble in these respects, we applied a hierarchy based on the
relatedness structure used to estimate additive genetic variation. Animal models were preferred,
as they utilise information from all known relationships and are generally the least biased and
most precise (Akesson et al., 2008). When animal model estimates were unavailable, we selected
those from parent -offspring regressions, which are less affected by dominance or common -
environmental effects than sibling-based designs (Hill, 2009; Lynch and Walsh, 1998).
The resulting dataset was then merged with the datasets of Mittell et al. (2015) and Young and
Postma (2023). All recorded estimates of evolvability and heritability were numerically checked
where possible and recalculated if sufficient raw data were available. Each estimate was also
evaluated for suitability in terms of the tr ait scale and transformation, as evolvability is only
meaningful for traits measured on ratio or log-interval scales, where proportional differences are
interpretable (Houle, 1992; Hansen et al., 2011). Heritability estimates were likewise checked for
compatibility with the underlying trait scale, as h 2 is interpretable for interval and ratio -scale
traits, but not for ordinal or nominal traits unless modelled and interpreted appropriately
(Falconer and Mackey, 1996; Lynch and Walsh, 1998). If an evolvability estimate was not given,
this was calculated if the necessary data were provided. We removed estimates where artificial
selection had been performed on the focal trait, along with es timates from inbred lines, since
inbreeding inflates V A. However, estimates were retained from species that are naturally clonal
or selfing. We log 10 transformed estimates of I A because the estimates are not normally
distributed. Consequently, 146 negative and zero evolvability values were removed, as these are
undefined under log transformation.
For cases in which both IA and h2 have been estimated we can calculate the residual variance, the
sum of the non-additive and environmental variances, which we normalised by dividing it by the
square of the mean: IR=IA(1-h2)/h2 (Hansen et al., 2011).
Interspecific Variation Models
To partition the variation in recorded estimates of V A a phylogenetic generalised linear mixed
model (PGLMM) was fitted using Markov chain Monte Carlo (MCMC) implemented in MCMCglmm
(Hadfield, 2010) in R (R Core Team, 2023). Weakly informative priors were used throughout.
Random-effect variances were modelled using scaled F1,1 priors (scale √1000), while the residual
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
5
variance followed an inverse-gamma prior with shape and scale set to 0.001. Fixed effects were
assigned normal priors with a mean 0 and variance 10 8. The MCMC chains were run for 780,000
iterations, with a burn -in of 180,000 and thinning every 250 iterations. Model convergence was
assessed through visual inspection of chain mixing. Additionally, we used posterior predictive
checks to visually assess m odel fit. We included a number of fixed and random effects in our
model which aim to capture the likely majo r sources of variation in V A (Table 1). Critical to our
analysis are two species-level random effects that capture the variation in VA among species, one
associated with phylogenetic inertia (“Phylogeny” in Table 1) and one which is independent of this
(“Non-Phylogenetic” in Table 1). The phylogenetic term takes into account that closely related
species may covary in their levels of V A; the tree was estimated using Time Tree (Kumar et al.,
2022).
Table 1: Summary of the fixed and random effects included in all MCMCglmm models, with the levels of the categorical
fixed effects and the rationale for inclusion. For the random effects the number of levels differ between the models for
evolvability and heritability and these are separated by | (IA|h2).
Levels Explanation
Fixed effects
Method
7
Estimates of VA can differ across estimation methods
because study designs and statistical models can vary
in how they partition genetic and environmental sources
of variation, and because they rely on different type of
relatives (Young and Postma, 2023; Walsh and Lynch,
1998)
Trait Type 4
Estimates of VA depend on trait type (e.g.
morphological, life-history) (Young and Postma, 2023;
Mittell et al., 2015, Hansen et al., 2011)
Dimension 6
Assigned based on mathematical properties of the focal
trait. Evolvabilities depend on trait dimension (Hansen
et al., 2011)
Environment 3 Estimates vary between Lab and Wild populations
(Hansen and Pélabon, 2021)
Covariates
Number of fixed effects Continuous Included to reflect potential systematic variation in QGV
due to model complexity Number of random effects Continuous
Random effects
Publication ID 269|415
Indexes the publications contributing data. Each
estimate is assigned a study ID corresponding to the
publication it originated from, accounting for non-
independence among estimates reported within the
same paper
Trait 652|1036
Categorical variable representing conceptually similar
traits. Trait names vary across studies - and some
measures captured slightly different aspects of the
same underlying phenotype - we standardised trait
labels across the dataset. Groups similar traits to
account for inherent similarities accounting for inherent
similarities
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
6
Phylogeny 172|220 Accounts for variation in VA that is due to shared
evolutionary history among species
Non-Phylogenetic 172|220 Captures species-specific variation in VA that is not
explained by phylogenetic relatedness
The model was run for evolvability and heritability separately. Estimates of the predicted log
evolvability and heritability for each species were calculated by extracting the intercept,
phylogeny and species estimates for the ith species at the jth sampling of the chain
𝐸[𝑋𝑖] = 𝐼𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡+𝑃ℎ𝑦𝑙𝑜𝑔𝑒𝑛𝑦𝑖 + 𝑁𝑜𝑛− 𝑃ℎ𝑦𝑙𝑜𝑔𝑒𝑛𝑒𝑡𝑖𝑐𝑖 (1)
Where X is either log (IA) or h2. These were then averaged across samples of the chain to yield the
posterior mean evolvability and heritability for a linear morphological trait estimated with an
animal model in a wild population (these are the reference categories in our analysis), along with
the 95% credible intervals.
To test whether there is significant variation between specific phylogenetic groups represented
in our dataset, we averaged the species estimates within each taxonomic subgroup for each
sampling of the MCMC. We then calculated pairwise differences between these group means
(e.g. plants vs. animals, arthropods vs. mammals etc.). From these contrasts we derived the
posterior distribution of the difference in means, quantifying the variation among the
phylogenetic groups sampled in our data.
To further investigate whether phylogenetic groups differ in their average evolvability or
heritability we estimated the evolvabilities and heritabilities for the internal nodes ( n) of our
phylogeny, providing posterior estimates for ancestral nodes.
𝐴𝑛𝑐𝑒𝑠𝑡𝑟𝑎𝑙 𝐸[𝑋𝑛] = 𝐼𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡+𝑃ℎ𝑦𝑙𝑜𝑔𝑒𝑛𝑦𝑛 (2)
These node -level estimates were then used to calculate pairwise differences among major
clades, following the same procedure as above. Finally, we extended our original interspecific
variation models by including taxonomic groups as fixed effects, allowing us to formally test
whether differences in log (I A) or h 2 between groups deviate more than expected under the null
model of Brownian evolution (the phylogenetic term) with added independent and identically
distributed species effects (the non-phylogenetic term).
To quantify the amount of variation between our species in terms of evolvability and heritability
we took the estimated variance associated with the phylogenetic (V phylogenetic) and non -
phylogenetic (Vnon-phylogenetic) species terms and then assuming the terms are normally distributed
we derived the quartiles of the distribution of the combined distribution. We quantify the variation
in terms of the ratio of the upper and lower quartiles. This allows us to state for example, that the
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
7
top 25% of species have an evolvability that is at least x -fold greater than the bottom 25% of
species. The 95% credible intervals on these ratios were derived from the samples of the chain.
Correlation analysis
We investigated whether our estimates of IA and h2 could be predicted by a number of factors: the
point mutation rate, the point mutation rate multiplied by the number of protein coding sites in
the genome, genome size, number of genes, ploidy levels, the effective population size, the rate
of recombination per nucleotide, the mode of reproduction, body mass, body length, longevity,
and generation time. Body length was defined as the longest linear dimension; we restricted this
analysis to animals since body length is hard to assess in plants because of the root system. Data
on the predictors were taken from various databases, including Amniote (Myhrvold et al., 2015),
Pantheria (Jones et al., 2009), Animal Diversity Web (Myers et al., 2025) as well as some meta -
analytic studies such as Wang and Obbard (2023), Lynch et al. (2023), Stapley et al. (2017) and
the broader literature (see Table S1 for details). All predictors were log 10 transformed prior to
analysis.
To assess the predictive power of each of our predictors, we used the same fixed and random
effect structure, prior and iteration settings as for the interspecific variation models. Since, we
did not have estimates of each predictor for every species, we ran the analysis for each predictor
separately with heritability and evolvability respectively as the response variable. The amount of
between-species variance explained by each predictor was quantified using a signed R 2 (Mittell
et al., 2015).
𝑅2 = ±
𝛽2𝑉(𝑥)
𝛽2𝑉(𝑥)+𝑉𝑃ℎ𝑦𝑙𝑜𝑔𝑒𝑛𝑒𝑡𝑖𝑐+𝑉𝑁𝑜𝑛−𝑃ℎ𝑦𝑙𝑜𝑔𝑒𝑛𝑒𝑡𝑖𝑐
(3)
Where V(x) is the variance in the focal predictor and β is the regression coefficient. The product
β2V(x) represents the between -species variation in the respective measure of V A that is
attributable to variation in the predictor, with the sign of R 2 taken from the sign of β. The
denominator quantifies the total between-species variation, including phylogenetic and species-
level components.
pMCMC values were used to assess the degree to which coefficients overlapped zero (Baayen et
al., 2008) and for multi-level factors we used the logic of the Wald test to perform an omnibus test
of the factor’s overall effect. The Wald statistic was calculated from the posterior mean vector
and covariance matrix (Mittell et al., 2015).
Evolvability versus Heritability
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
8
To investigate the relationship between heritability and evolvability we fitted a bivariate PGLMM
with the phylogenetic and non-phylogenetic terms as random effects (Table 1) in which h2 and IA
were modelled jointly . The phylogenetic effects, non -phylogenetic effects and residuals were
each allowed to covary across response variables and priors were placed on the resulting
covariance matrices such that the marginal prior for the variances was identical to that in the
univariate models. All MCMC settings were identical to those of the univariate models.
There is an expectation for V A to be positively correlated with the non -additive genetic variance
and the environmental variance (Hansen et al., 2011). The sum of these two components is the
residual variance (V R), which we scale by dividing by the square of the mean to yield I R. To test
whether IA and h2 are correlated to IR we ran bivariate PGLMMs under the same conditions as the
h2 and IA model.
Results
To assess whether additive genetic variance varies systematically between species we compiled
a dataset of evolvability (I A), and heritability (h 2) estimates from the literature. Our dataset
comprises 1,852 evolvability estimates from 172 species and 3,209 heritability estimates from
220 species, spanning a broad range of multicellular eukaryotes (Figure 1 and 2). We have
estimates from roughly equal numbers of birds, mammals, arthropods and plants, with a small
number of estimates from fish, arachnids, amphibians and reptiles. Many of our estimates were
for linear morphological traits estimated using an animal model (493 IA and 572 h2 estimates). For
all variables aside from heritability we perform the analysis of the logarithm of the value, however,
we refer to the variable by its name – e.g. all analyses are performed on log10(IA), but we refer to IA
and evolvability throughout the text.
Evolvability (IA)
To investigate whether I A varies between species we fit a phylogenetic GLMM with two species
terms – one capturing phylogenetic differences and another capturing species -specific
deviations independent of phylogeny. The fit of the model to the data was adequate, although the
model predicted a deficit of small values and an excess of large values compared to that observed
(Figure S1). We find that IA varies significantly between species (Figure 1), with 39% [95% credible
intervals: 16% to 58%] of the total variance in the random effects (including the residual variance)
in the model attributable to interspecific differences (Table 2). The magnitude of this variation is
substantial: the top 25% of species exhibit 9.3 -fold [3.5, 23] greater evolvability than the bottom
25%. Most of the interspecific variation reflects phyl ogenetic structure, with phylogeny
accounting for 38% [15%, 58%] (Table 2) of the random effect variance.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
9
Figure 1: The predicted evolvability from our model for a linear, morphological trait estimated with an animal model
from a wild population for each species, plotted across the phylogeny with their 95% credible intervals.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
10
A substantial part of this phylogenetic effect appears to be a difference between plants and
animals, with plants having 4.7-fold [2.7, 8.3] higher IA than animals. Plants also have significantly
higher evolvability than each of the individual animal subgroups (Figure 2) . This difference
between plants and animals, and individual animal groups is also evident in the estimated
ancestral values for each group; the ancestor to our sample of plants is estimated to have had
4.3-fold [1.1, 18 ] higher evolvability than the ancestor of the sample of animals (Figure S2).
However, the difference between plants and animals is consistent with the phylogenetic model.
When group identity (plant vs. animal) is included as a fixed effect alongside the phylogenetic and
non-phylogenetic species effects in the model, the fixed effect coefficient was not significantly
different from zero (mean effect = 0.73 [ -1.46, 2.52]; Table S3); i.e. plants are no more divergent
from animals than we might expect given the time that has elapsed since the groups diverged and
the rate at which evolvability changes.
Figure 2: The difference in mean evolvability between groups of animals and plants. Each point represents
the posterior mean difference between group means, back transformed to the original data scale.
Horizontal bars indicate the 95% credible intervals. The dashed line at 1 indicates no difference between
groups. Differences greater than 1 indicate that the first node (first -mentioned group in the y -axis) has a x-
fold higher predicted evolvability than the second node. All comparisons are plotted so that the means are
positive.
However, the variation in evolvability between species is not simply due to the difference between
plants and animals. If we restrict our interspecific variation model to animals only, we still find
significant variation between species, with 24% [7%, 40%] of the variance attributable to species
differences (Table 2). We also find significant variation in I A between species within plants,
mammals, arthropods, and fish individually (Table 2). In each of these cases, however, the
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
11
phylogenetic and non -phylogenetic effects are not individually significant. This indicates that
while there is a significant species effect, the data lack sufficient power to partition the species
effect between the phylogenetic and non-phylogenetic effects.
Table 2: The proportion of the random effects variance explained by the phylogenetic and non-phylogenetic species
variances for evolvability. Also given is the ratio of the upper and lower quartiles of the combined phylogenetic and
non-phylogenetic species effects on the data scale where 1 indicates no difference; estimates are given to two
significant figures unless the value is <0.01, in which case it is listed as 0
Given the complexity of the full interspecific variation model, which includes many fixed and
random effects, and an assumption that log (I A) is linearly related to the effects in our model, we
performed a simplified analysis using only linear morphological traits estimated with an animal
model. This results in 493 estimates from 63 species. Results were qualitatively unchanged:
interspecific variation accounted for 58% [32%, 81%] of the random effect variance, and the
phylogeny accounted for 56% [28%, 80%]. Moreover, if we simply plot the species’ mean IA values
for this data the phylogenetic effect remains evident (Figure S3).
Although, our principal focus is one whether evolvability varies between species , a number of
other fixed effects are significant in our model. We observe substantial differences in evolvability
among different trait types (Omnibus test, P(>x2) x2) <
0.001; Table S4), where traits that scale quadratically (e.g. area) and cubically (e.g. mass) show
1.7 [0.83, 3.5] and 3.5 [2.2, 5.5] times greater evolvability than those that scale linearly (Figure S4).
Counts exhibit 3.4 [1.9 - 5.9] times greater evolvability than linear traits. The method of estimation
also has a significant effect (P (>x2) = 0.012; Table S 4), with full -sib designs yielding higher
Species #species #estimates Phylo Non-phylo Phylo+
non-phylo
Ratio of
quartiles
All 172 1852 38%
[15, 58]
1.0%
[0, 3.9]
39%
[17, 58]
9.3
[3.5, 23]
Animalia 135 1395 22%
[4.7, 40]
1.4%
[0, 5.4]
24%
[6.6, 40]
5.0
[2.5, 12]
Arthropods 38 460 17%
[0, 40]
6%
[0, 21]
23%
[3.3, 48]
5.8
[1.9, 20]
Birds 34 360 4.7%
[0, 17]
3.7%
[0, 13]
8.4%
[0, 24]
2.5
[1.1, 6.3]
Birds &
Mammals 68 698 12%
[0, 35]
1.8%
[0, 7.0]
14%
[0.01, 36]
2.9
[1.2, 8.9]
Fish 15 133 22%
[0, 68]
22%
[0, 60]
44%
[1.4, 83]
7.2
[1.3, 63]
Mammals 34 338 19%
[0, 43]
3.3%
[0, 13]
22%
[1.6, 46]
3.1
[1.5, 6.8]
Plants 35 425 13%
[0, 40]
8.1%
[0, 22]
21%
[0.16, 46]
2.9
[1.2, 7.6]
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
12
estimates that are 4.0 [1.6, 9.8] times greater on average than animal models, and midparent -
offspring regression yielding the lowest values that are 0.40 [0.17, 0.92] of the values from the
animal model (Figure S4). Estimates of IA also depend on the environment (P(>x2) = 0.003) in which
the estimation was made . However, no individual level differed significantly from the reference
level, and direct comparisons between laboratory and wild estimates were not significant (Table
S4; Figure S4). This indicated that the overall significance arises from moderate differences
across multiple environment categories rather than a single strong pairwise contrast.
Although these fixed effects account for some of the observed variation in IA,, they primarily serve
to control for differences in methodology and trait choice across publications, and do not explain
the interspecific variation in IA that we detect. To investigate what might be causing this variation
we conducted phylogenetic generalised linear mixed models (PGLMMs) including a suite of
predictors: nucleotide mutation rate, estimated total point mutation rate of the proteome,
genome size, number of genes, ploidy level, recombination rate per site, mode of reproduction,
and estimates of effective popu lation size. In addition, we assessed associations between
evolvability and life-history traits such as body mass, body length, longevity, and generation time.
Among all variables tested, only body length (which we have only assessed for animals) exhibited
a statistically significant association with evolvability after applying a Bonferroni correction for
multiple testing. Body length accounted for approximately 47% [6.6%, 95%] of the between -
species variance in evolvability, and the model predicts that doubling body size increases I A by
1.3-fold [1.1, 1.5]. No other predictors were significant predictors of evolvability after correction
for multiple tests ; howeve r, the credible intervals are broad indicating we have little power to
detect associations (Table 3).
Table 3: The regression of evolvability on various variables. Given is the number of estimates and the number of species
from which those estimates come from for each analysis, along with the posterior means with their CIs and pMCMC (twice
the posterior probability that the effect lies on the opposite site of zero from its estimated direction) as well as the
signed R2 for all I A indicating the proportion of the between-species variance explained. For the categorical predictors
the p -value of the omnibus tes t are denoted as P(>X 2). For t he categorical predictors, the posterior means are the
deviation from the reference levels (Diploid and Sexual, respectively). An * in the p MCMC or P(>χ 2) column indicates a
significant effect after Bonferroni correction.
Predictor of IA N estimates N species Post. mean pMCMC R2
Mutation Rate 514 43 -0.385
[-0.828, 0.040] 0.076 -0.108
[-0.340, 0.024]
Protein Coding
Mutation Rate 413 31 -0.432
[-0.881, 0.028] 0.060 -0.225
[-0.770, 0.024]
Genome Size 918 64 -0.109
[-0.542, 0.254] 0.582 -0.027
[-0.186, 0.069]
Number of Genes 1223 104 -0.043
[-0.987, 0.099] 0.923 -0.007
[-0.186, 0.069]
Rate of
Recombination 618 33 0.184
[-0.276, 0.663] 0.433 0.054
[-0.092, 0.267]
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
13
Effective
Population Size 403 32 0.213
[-0.312, 0.728] 0.416 0.038
[-0.058, 0.190]
Generation Time 443 37 -0.098
[-0.410, 0.186] 0.496 -0.113
[-0.679, 0.168]
Longevity 1318 104 -0.063
[-0.231, 0.119] 0.483 -0.019
[-0.106, 0.034]
Body Length 868 79 0.370
[0.149, 0.588] 0.003* 0.471
[0.066, 0.951]
Body Mass 751 71 0.107
[-0.020, 0.210] 0.083 0.365
[-0.008, 0.920]
Categorical
Predictors N estimates N species Post. mean P(>χ2) R2
Haplodiploid
1645 127
0.074
[-0.444, 0.593] 0.67 0.029
[0.001, 0.105] Polyploid -0.035
[-0.431, 0.381]
Mixed
Reproduction 1784 159
0.208
[-0.107, 0.533] 0.13 0.077
[0.002, 0.240] Asexual
Reproduction
0.146
[-1.553, 1.806]
Heritability
When we run our model on heritability, we find that the model fits the data reasonably well except
that there is a large excess of h2 estimates at zero compared to what the model predicts (Figure
S5). This excess of zero estimates is almost certainly methodological, arising because many of
the analyses return zero estimates of VA when relatives exhibit negatively correlated trait values.
As with evolvability, we find evidence of significant variation between species – the proportion of
the random effects variance explained by between species differences is 24% [4.9%, 52%].
However, this variation cannot be clearly attributed to either phylogenetic or non -phylogenetic
components when considered separately (Table 4). The lack of a clear phylogenetic signal is
evident when the predicted h2 from our model for each species are plotted on a phylogeny (Figure
3). We also find significant variation in h 2 within plants and animals respectively, however the
smaller taxonomic subgroups as mammals and fish only harbour marginally significant
interspecific variation, while the remaining groups tested do not show significant differences
(Table 4). Overall, we find that h2 varies quite substantially between species; the ratio of the upper
and lower quartiles is 1.8-fold [1.3, 2.6].
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
14
Figure 3: The predicted heritability from our model for a linear, morphological trait estimated with an animal model
from a wild population for each species, plotted across the phylogeny with their 95% credible intervals.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
15
Table 4: The proportion of the random effects variance explained by the phylogenetic and non -phylogenetic species
variances for heritability. Also given is the ratio of the upper and lower quartiles of the combined phylogenetic and non-
phylogenetic species effects on the data scale where 1 indicates no difference; estimates are given to two significant
figures unless the value is <0.01, in which case it is listed as 0
All the fixed effects (Table 1) in our interspecific variation model (i.e. the model without any
predictors such as the nucleotide mutation rate) are significant, with the exception of the number
of fixed effects (pMCMC = 0.118; Table S5). Consistent with previous research, h2 varies significantly
between trait types (Omnibus test, P(>x2) < 0.001) with morphological traits having the highest h2
and fitness traits the lowest (the average difference in heritability between morphological and
fitness traits is 0.15 [0.013, 0.28] (Table S5; Figure S6). We also find that the method of estimation
has a significant effect (pMCMC < 0.001, Table S5; Figure S6) with full-sib designs yielding estimates
of heritability that are 0.21 [0.11, 0.30] higher than animal models, which yield similar estimates
to other methods. We also find a weak but significant effect of dimension ( P(>x2) = 0.012; Table
S5; Figure S6) and the environment ( P(>x2) = 0.002, Table S5; Figure S6). The effect of the
environment seems to largely reflect higher heritability estimates from laboratory studies
compared to those from natural populations (pMCMC =0.003, Table S5; Figure S6).
Although we observe significant variation in narrow -sense heritability (h²) across species, most
predictors tested do not exhibit statistically significant associations after Bonferroni correction
(Table 5). The exception is ploidy level (P(>x2) = 0.004), with polyploids showing lower heritability
than diploids.
Species #species #estimates Phylo Non-phylo Phylo+
non-phylo
Ratio of
quartiles
All 222 3209 28%
[0.35, 57]
4.4%
[0, 12]
32%
[11, 60]
1.8
[1.3, 2.6]
Animalia 173 2497 12%
[0.67, 26]
1.9%
[0,6.3]
14%
[2.1, 27]
1.4
[1.2, 1.7]
Arthropods 49 884 3.1
[0, 13]
2.5%
[0, 9.7]
5.6%
[0, 17]
1.2
[1.0, 1.5]
Birds 44 606 3.5
[0, 14]
2.1%
[0, 7.8]
5.6%
[0, 18]
1.2
[1.0, 1.5]
Birds &
Mammals 82 1118 6.7%
[0, 25]
1.4%
[0, 5.4]
8.2%
[0, 26]
1.2
[1.0, 1.6]
Fish 17 225 21%
[0, 62]
15%
[0, 44]
36%
[0.01, 70]
1.9
[1.1, 3.4]
Mammals 38 512 19%
[0, 50]
6.6%
[0, 25]
25%
[0.15, 55]
1.5
[1.1, 2.1]
Plants 41 599 29%
[0, 67]
10%
[0, 33]
40%
[9.3, 71]
2.1
[1.3, 3.6]
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
16
Table 5: The regression of heritability on various variables. Given is the number of estimates and the number of species
from which those estimates come from for each analysis, along with the posterior means with their CIs and pMCMC (twice
the posterior probability that the effect lies on the opposite site of zero from its estimated direction) as well as the
signed R2 for all h2 indicating the proportion of the between-species variance explained. For the categorical predictors
the p -value of the omnibus test are denoted as P(>X 2). For t he categorica l predictors, the posterior means are the
deviation from the reference levels (Diploid and Sexual, respectively). An * in the p MCMC or P(>χ 2) column indicates a
significant correlation after Bonferroni correction.
Predictor of h2 N estimates N species Post. mean pMCMC R2
Mutation Rate 839 47 -0.023
[-0.158, 0.105] 0.717 -0.020
[-0.158, 0.075]
Protein Coding
Mutation Rate 702 34 -0.114
[-0.239,0.001] 0.068 -0.224
[-0.686, 0.016]
Genome Size 1561 75 0.050
[-0.061, 0.167] 0.385 0.055
[-0.057, 0.229]
Number of Genes 2040 102 -0.151
[-0.406, 0.088] 0.923 -0.054
[-0.200, 0.025]
Rate of
Recombination 1021 39 -0.021
[-0.153, 0.116] 0.782 -0.025
[-0.259, 0.128]
Effective
Population Size 681 35 0.001
[-0.134, 0.139] 0.999 -0.007
[-0.136, 0.151]
Generation Time 721 40 -0.011
[-0.089, 0.061] 0.776 -0.029
[-0.269, 0.212]
Longevity 2249 135 -0.046
[-0.091, 0.001] 0.053 -0.056
[-0.158, 0.003]
Body Length 1489 103 0.020
[-0.047, 0.077] 0.515 0.044
[-0.070, 0.253]
Body Mass 1276 95 0.004
[-0.026, 0.031] 0.817 0.007
[-0.234, 0.306]
Categorical
predictors N estimates N species Post. mean P(>χ2) R2
Haplodiploid
2682 168
0.003
[-0.134, 0.149] 0.004* -0.190
[-0.375, -0.043] Polyploid -0.192
[-0.314, -0.089]
Mixed
Reproduction 3101 210
0.272
[-0.125, 0.675] 0.157 0.095
[0.007, 0.275] Asexual
Reproduction
0.097
[-0.044, 0.223]
Evolvability versus Heritability
Although estimates of I A and h 2 are significantly correlated across individual estimates, the
correlation is weak (r=0.24 [0.20, 0.29]; Figure S7), and there is no significant correlation between
IA and h2 across species (r=0.13 [-0.13, 0.38]; Figure S7). There are several reasons why I A and h2
might be weakly correlated. In particular, it has previously been shown that the residual variance
- the sum of the non-additive genetic and environmental variances - is positively correlated to VA
across individual estimates (Hansen et al., 2011). Consistent with this, we find a strong positive
correlation between residual variance (mean-scaled, IR) and IA across individual estimates (r=0.73
[0.70, 0. 75]; Figure S8) and species (r=0.69 [0.47, 0.89]; Figure S8). Similarly, we find a
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
17
significantly negative relationship between h2 and IR across individual estimates (r=-0.33 [-0.36, -
0.29]; Figure S9) and species (r=-0.51 [-0.68, -0.28]; Figure S9).
In addition to the correlations we also analysed the interspecific variation in I R itself using an
interspecific variation model and find that the variation in IR follows a similar pattern to IA; there is
a strong phylogenetic component (interspecific variation= 29% [8.3%, 53%]) (Table S6) with
plants having substantially more residual variance than other phylogenetic groups (Figure S10).
Discussion
We find significant interspecific variation for two measures of additive genetic variance, the
evolvability (I A), the additive genetic variance divided by the square of the mean, and the
heritability (h2). For evolvability a substantial portion of the observed variation can be attributed
to phylogenetic relatedness—closely related species tend to exhibit more similar evolvabilities
than distantly related species. Much of this phylogenetic signal appears t o be driven by plants,
which exhibit markedly higher evolvability than animals. Despite this broad taxonomic trend, we
also observe substantial variation within major clades, including within both plants and animals,
and within most taxonomic groups for which we have sufficient data —birds being the notable
exception (Table 2). The variation in evolvability is substantial; we estimate that the top 25% of
species have more than 9-fold [3.5, 23] more evolvability than the bottom 25% of species.
An important question is whether the variation we observe in our analysis is due to variation
between studies and populations, rather than between species, given that measures of V A can
vary between populations of the same species (e.g. Quéméré et al., 2018; Muff et al., 2019; Windig
et al., 2004). Several lines of evidence suggest that there is genuine variation between species. In
particular, there is a substantial phylogenetic effect for IA that cannot be explained by population-
level variation. Moreover, our overall model structure - including study-level and other random
effects - effectively accounts for variation among populations within species.
Previously, Young and Postma (2023) found significant variation in h 2 across mammalian and
avian species, without a detectable phylogenetic signal, but no evidence of variation in CV A, the
square root of I A. We performed a comparable analysis using our database of estimates from
mammals and birds. Their original dataset had 1822 heritabilities for 68 species and only 378 CVA
estimates for 23 species, we compiled 1118 heritabilities for 82 species and 698 estimates of I A
for 68 species. We find interspecific variation in evolvability but not in heritability for this dataset.
Biologically, our results are broadly concordant with those of Young and Postma (2023), and the
apparent differences in findings likely reflect methodological rather than biological factors.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
18
Why does evolvability vary between species?
Although we find substantial variation in evolvability we do not find that it is predicted by any
variable that we have tested except body length. Particularly surprising is the lack of a correlation
between evolvability and the mutation rate since most models of the maintenance of the additive
genetic variance predict that it should depend on the mutational variance (Walsh and Lynch,
2018). There are several reasons why we might not have detected an effect. First, available
proxies for mutational input are relatively crude. We assessed whether evolvability correlates
with the nucleotide mutation rate alone, as well as with the mutation rate scaled by proteome
size; for these variables we have few estimates. We also considered the number of protein coding
genes (without multiplying this by the mutation rate, which is only known for a limited number of
species). However, the number of genes likely represents a limited proxy for the genomic regions
in which mutations ca n generate phenotypic effects. It does not account for the amount of
regulatory DNA, which is likely to vary among species. Moreover, under most models of
quantitative genetic variation maintenance mutational variance is influenced not only by
mutation rat e but also by the distribution of effect sizes, which is also known to vary across
species (Huber et al., 2017; Castellano et al., 2019). Unfortunately, we have very few estimates
for the distribution of effect sizes. However, possibly the biggest omission in our estimate of the
mutation rate are structural variants (SVs) including transposable element (TE) insertions. There
is evidence from Drosophila (Long et al., 2000; Robillard et al., 2016) and yeast (Loegler et al.,
2025) that SVs can contribute substantially to additive genetic variation. Unfortunately, estimates
for the rate at which SVs occur have been estimated for very few species. It is also possible that
IA is not correlated to our estimates of the mutational variance because it does not differ
substantially between species, in which case it could not account for the variation in I A we
observe.
We also find no correlation between evolvability and the effective population size. This might be
due to a lack of power; both our estimates of N e and species mean I A are subject to reasonable
levels of error. However, it might reflect the fact that most of the mutational input to the additive
genetic variance is deleterious and subject to strong selection; under such a model the genetic
variance is likely to be indepe ndent of N e unless N e is very small (Keightley and Hill, 1988;
Keightley and Hill, 1990 ; B ürger et al ., 1989). It might also be that additive genetic variance is
maintained by balancing selection (Walsh and Lynch, 2018).
The one significant correlation we detect is a positive relationship between evolvability and body
size in animals (measured as the maximum linear dimension), which remains statistically
significant after correcting for multiple tests (p = 0.003, multiple‐test–corrected significance
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
19
threshold=0.004). This might arise because larger bodied species tend to have longer generation
times, and species with long generation times have higher mutation rates per generation
(Bergeron et al., 2023; Wang and Obbard, 2023) although we tested for a correlation between
evolvability and the mutation rate we had few estimates in our analysis and hence low power.
There is also some evidence that larger bodied species have larger ranges (Pyron, 2002;
Newsome et al ., 20 19) and might therefore be exposed to different environments, leading to
maintenance of locally adaptive genetic variation. Finally, the observed positive correlation may
also be influenced by trait scaling. If the additive genetic variance does not increase linearly with
the square of the trait mean, I A will tend to increase with larger trait values. While this could in
principle be tested by excluding size traits, the majority of our dataset consists of such traits, and
removing them would result in a severe loss of power, preventing reliable inference.
Although this study explored a range of factors that could explain interspecific variation in
quantitative genetic parameters, there are additional important forces we have not explored. One
such factor is selection, which is expected to affect levels of a dditive genetic variance (though
not always under directional selection - see Hill, 1982). However, the extent to which selection
varies among species is largely unknown, because meta -analyses of selection gradients rarely
account for species identity or phylogenetic relatedness (Hereford et al. , 2004). Finally,
population structure - such as sub-division and migration - could influence VA, but we have little
information on these for the species we have analysed.
Why is evolvability higher in plants?
We find that plants have significantly higher evolvability than animals. Although, our analysis
suggests that the difference between plants and animals is no more than we might expect under
a simple phylogenetic model of trait evolution, the difference is substantial, with plants estimated
to have ~4.7-fold [2.7, 8.3] more evolvability than animals.
Unfortunately, understanding why plants and animals differ is challenging because there are
many fundamental differences between plants and animals, and both groups are monophyletic;
as a result, we have limited statistical power to test hypotheses. For ex ample, plants generally
have many more genes than animals, but because there is relatively little variation in gene
number within plants and animals, we have few independent contrasts to detect an association.
We find no evidence that this pattern might be attributable to differences in the mutation rate,
effective population size, mating system, genome size or ploidy. However, there are two
conspicuous differences between plants and animals that might contribute to the difference in
evolvability between th e groups. First, plants have an additional genome, in the chloroplast.
While both plastid and mitochondrial genomes are small relative to the nuclear genome, studies
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
20
have shown that genetic variation in the mitochondrial genome can significantly contribute to
phenotypic variation in animals (Dowling et al., 2007; Clancy, 2008). A meta -analysis of studies
in which mtDNA was introgressed between nuclear backgrounds in animals suggested the effects
can be substantial, with nearly 50% of cases changing the mean up or down by >10% (Eyre -
Walker, 2017) although this is likely to be an overestimate due to sampling error (Morrissey, 2016).
Surprisingly, little is known about the genetic diversity contained within the plastid genome and
whether it contributes to QGV. There are some species for which plasti d-nuclear
incompatibilities have been shown to be segregating (Postel et al., 2022), but little work has been
done beyond this.
The second major difference between plants and animals is the potential for transgenerational
epigenetic inheritance (TEI) (Bond and Baulcombe, 2014). There are examples of TEI in both plants
and animals (Bošković and Rando, 2018) but no comparative study of how much epigenetic
variation is inherited in the two groups of organisms. However, there are some reasons for
believing that inherited epigenetic variation might be greater in plants than animals. There are
several pathways by which TEI can be propagated (Bošković and Rando, 2018) but the simplest is
through DNA methylation, and most methylation marks are not removed during gametogenesis
in plants, whereas extensive remodelling occurs in animals (Bošković and Rando, 2018; Bond and
Baulcombe, 2014). Expe riments using epigenetic recombinant inbred lines (epiRILs) of
Arabidopsis thaliana suggest that heritable differences in methylation can generate substantial
phenotypic variation (Reinders et al. , 2009; Roux et al. , 2011) comparable in magnitude to
differences observed among natural accessions. Broad sense heritability amongst epiRILs can
be as high as 90% for some traits, such as flowering time, but essentially absent for others (Roux
et al., 2011; Postel et al., 2022). However, an epiRIL experiment gives an upper estimate for the
variation induced by heritable methylation since it involves crossing methylated and largely
unmethylated parental strains, hence generating more diversity in methylation than would be
seen in a natural population. The fact that largely unmethylated strains are viable suggests that
DNA methylation might not play an essential or widespread role in generating large amounts of
additive genetic variance, even if it can influence particular phenotypes. Although natural
populations do contain epigenetic variation in methylation (Schmitz et al. , 2013; Dubin et al. ,
2015), much of this appears to be genetically determined (Dubin et al., 2015). It therefore seems
unlikely that epigenetic variation is why plants have higher evolvability than animals.
Evolvability - other effects
Hansen et al. (2011) reported that the evolvability of cubic traits was roughly nine times that of
linear traits, implying strong genetic correlations among trait dimensions (e.g., between height
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
21
and width). In contrast, our analysis finds that the ratio of linear, quadratic, and cubic traits is
closer to 1:2:3, consistent with variation in different dimensions being largely independent. The
difference between our study and that of Hansen et al. (2011) might be due to our larger sample
size and the fact that we have modelled many effects they did not , including the method of
estimation, trait type and the relatedness of the species in our sample; if we simply take the
median estimates of the observed IA values we find a pattern closer to that originally reported by
Hansen et al. (2011). An additional difference is that our analyses are based on log -transformed
IA values, whereas Hansen et al., (2011) used raw IA, which will also contribute to the differences
we observe. Biologically, one might have expected an intermediate scaling between the different
dimensions, given that our dataset is extremely heterogeneous spanning diverse species and
traits that likely vary in their degree of dimensional integration. However, a more robust tes t of
these scaling relationships will require a dataset with a greater representation of higher -
dimensional traits.
We also show, for the first time, that count traits exhibit significantly higher evolvability (I A) and
lower heritability (h²) compared to linear traits. While Hansen et al. (2011) did consider counts
they did so only for size traits. The relatively high I A of count traits may reflect a combination of
biological and statistical factors. Biologically, count traits often arise from modular or discrete
developmental processes, where variation among semi-independent units (e.g. number of leaves
or offspring) ca n accumulate additively . Methodologically, the scaling of variance by the mean
may contribute to elevated IA values when counts are low or distributions are skewed, as we might
expect under a Poisson distribution, overdispersion or zero -inflated distributions, although not
all count traits conform to such distributions.
Interestingly, when we examine evolvability across different trait types we find no significant
difference between life-history and morphological traits, contrary to previous analyses (Hansen
et al ., 2011; Young and Postma, 2023). Our analysis however varies from previous studies in
several ways. Firstly, we separate fitness and life-history, yet neither is significantly different from
morphological traits in IA. We also include a random effect grouping traits that, although labelled
differently across publications, measure the same underlying property (e.g. body size). Lastly, we
explicitly account for trait dimensions across all trait types. If we remove trait dimension from our
analysis, we find that life-history traits have higher evolvability than morphology traits. This result
is particularly interesting when considering the distribution of trait dimensions across the
different trait types. Morphological traits are predominantly linear (65%), with smaller proportions
being quadratic (5.3%) or cubic (21% ). In contrast life -history traits are mostly durations (46%)
and counts (51%). These distributions suggest that apparent differences between life-history and
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
22
morphological traits may reflect underlying differences in trait dimensionality rather than intrinsic
differences in evolvability.
Hansen et al. (2011) demonstrated that the residual variance (the sum of the environmental and
non-additive genetic variance) is positively correlated with the additive genetic variance across
individual estimates of these quantities, a pattern we replicate. They argue that the relationship
exists because increases in allele frequencies are expected to increase the additive and epistatic
variances (Hansen and Wagner 2001). Furthermore, the additive, epistatic and dominance
variances all depend on the number of loci underlying a trait. Houle (1992) has also argued that
the environmental variance should increase with the additive genetic variance across trait types
because complex traits are probably more sensitive to both genetic and environmental
perturbation.
Extending these findings, we find a strong and significant relationship between I R and I A across
species, demonstrating that the positive relationship observed at the level of individual estimates
also holds at the species level. This is consistent with our observation that interspecific variation
in I R follows the same trend as I A – phylogenetic signal with higher estimates in plants. This
suggests that factors linking the additive and residual variances operate not only within species
but also across species.
Heritability
We find significant variation in heritability across species, with the upper and lower quartiles
varying by nearly two -fold. This variation could reflect differences in additive, non -additive or
environmental variance. Across species, we find no evidence of a relationship between IA and h2,
suggesting that the interspecific variation in h2 are unlikely to be driven primarily by differences in
the additive genetic variance. In contrast, the mean-scaled residual variance (IR) varies
significantly between spec ies and is strongly positively correlated with IA and negatively
correlated with h 2 across both estimates and species. This pattern suggests, as proposed by
Young and Postma (2023), that the observed between species variation in h 2 is likely influenced
more by differences in residual variance than by differences in the additive genetic variance.
As with evolvability, we find only one variable that explains some of the variation in h2, this is ploidy
level. Polyploids exhibit significantly lower h 2 than diploids, which may reflect increased
opportunities for epistasis and other non-additive genetic interactions in polyploids. Some of this
epistatic variance may contribute to the additive genetic variance depending on the experimental
design, but overall, it is consistent with the idea that higher levels of non -additive variation
obscure the relationship between IA and h2 at the species level
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
23
We find evidence that estimates of h 2 are generally higher in the lab than in natural populations
contrary to a previous meta-analysis (Weisenberg and Roff, 1996). However, we have many more
estimates and probably increased power because we have modelled many fixed effects that
influence h2. The difference between lab and wild estimates is not likely to be due to higher VA in
lab populations, as I A is not significantly elevated in lab populations . A commonly invoked
explanation is that laboratory conditions reduce environmental variance, thereby inflating
heritability estimates . However, we find no significant difference between lab and natural
populations in I R, the residual variance, which is the sum of the non -additive genetic and
environmental variances . This suggests that the higher heritabilities observed in laboratory
studies cannot be attributed simply to reduced residual variance under controlled environments
and may reflect more subtle differences between laboratory and natural settings that affect how
genetic and environmental variation contribute to phenotypic variance.
Consistent with previous literature, we find that morphological traits have higher heritability than
other trait types (e.g. Young and Postma, 2023; Hansen et al. , 2011). In contrast, count traits
exhibit lower h 2 despite having high I A. This pattern mirrors our findings that count traits have
significantly higher IR (Table S6). Because heritability is sensitive to the residual variance whereas
IA is not, elevated IR in count traits can lead to reduced h2 even when evolvability is high.
Summary
We find substantial interspecific variation in evolvability (I A), with clear phylogenetic signal
indicating that closely related species tend to have more similar levels of evolvability, with plants
as sampled here standing out with particularly 7 high levels. While we also find significant
interspecific variation in heritability (h 2) the absence of a correlation with I A suggests that this
variation might be due to variation in the residual variance. Although we find significant variation
in the additive genetic variance between species, we are unable to explain this. Nevertheless, our
Results
suggest that some species have a substantially greater capacity to evolve.
Acknowledgements
We are very grateful to Maria Clara Castellanos, Pierre Nouvellet, Bill Hughes and the rest of the
University of Sussex evolutionary genetics community for helpful discussion. We also thank
Thomas Hansen, David Houle and Christophe Pelabon for the valuable and helpful discussion on
estimates of evolvability. L.Z. is funded by the John Maynard Smith PhD Studentship.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
24
References
Abson, K., Zijmers, L., Mittell, E., Young, E., Postma, E., Eyre-Walker, A., Hadfield, J. (2026) Nucleotide diversity is a
poor predictor of short-term adaptive potential. bioRxiv. https://doi.org/10.64898/2026.01.05.697705
Baayen, R., Davidson, D., and Bates, D. (2008) Mixed-effects modeling with crossed random effects for subjects and
items. Journal of Memory and Language, 59(4), 390-412. https://doi.org/10.1016/j.jml.2007.12.005
Bergeron, L., Besenbacher, S., Zheng, J,, Li, P., Bertelsen, M., Quintard, B., Hoffman, J., li, Z., Leger, J., Shao, C.,
Stiller, J., Gilbert, M., Schierup, M., Zhang, G. (2023) Evolution of the germline mutation rate across vertebrates.
Nature, 615, 285-291. https://doi.org/10.1038/s41586-023-05752-y
Besnard, F., Picao-Osorio, J., Dubois, C. and Felix, M. (2020) A broad mutational target explains a fast rate of
phenotypic evolution. Elife. 10.7554/eLife.54928
Bond, D.M. and Baulcombe, D.C. (2014) ‘Small RNAs and heritable epigenetic variation in plants’, Trends in Cell
Biology, 24(2), pp. 100–107. https://doi.org/10.1016/j.tcb.2013.08.001
Bošković, A. and Rando, O.J. (2018) ‘Transgenerational Epigenetic Inheritance’, Annual Review of Genetics, 52(1), pp.
21–41. https://doi.org/10.1146/annurev-genet-120417-031404
Buffalo, V., (2021) Qauntifying the relationship between genetic diversity and population size suggests natural
selection cannot explain Lewontin’s Paradox. eLife 10:e67509. https://doi.org/10.7554/eLife.67509
Bulmer, M.G. (1980) The mathematical theory of quantitative genetics. Oxford: Clarendon press.
Bürger, R., Wagner, G.P. and Stettinger, F. (1989) ‘HOW MUCH HERITABLE VARIATION CAN BE MAINTAINED IN FINITE
POPULATIONS BY MUTATION-SELECTION BALANCE?’, Evolution, 43(8), pp. 1748–1766.
https://doi.org/10.1111/j.1558-5646.1989.tb02624.x
Castellano, D. et al. (2019) ‘Comparison of the Full Distribution of Fitness Effects of New Amino Acid Mutations
Across Great Apes’, Genetics, 213(3), pp. 953–966. Available at: https://doi.org/10.1534/genetics.119.302494.
Charlesworth, D., and Willis, J. (2009) The genetics of inbreeding depression. Nature Reviews Genetics, 10, 783-796.
https://doi.org/10.1038/nrg2664
Clancy, D.J. (2008) ‘Variation in mitochondrial genotype has substantial lifespan effects which may be modulated by
nuclear background’, Aging Cell, 7(6), pp. 795–804. https://doi.org/10.1111/j.1474-9726.2008.00428.x
Conradsen, C., Blows, M.W. and McGuigan, K. (2022) ‘Causes of variability in estimates of mutational variance from
mutation accumulation experiments’, Genetics. Edited by J. Wolf, 221(2), p. iyac060.
https://doi.org/10.1093/genetics/iyac060
Dowling, D.K. et al. (2007) ‘Intergenomic Epistasis for Fitness: Within-Population Interactions Between Cytoplasmic
and Nuclear Genes in Drosophila melanogaster’, Genetics, 175(1), pp. 235–244.
https://doi.org/10.1534/genetics.105.052050
Dubin, M.J. et al. (2015) ‘DNA methylation in Arabidopsis has a genetic basis and shows evidence of local adaptation’,
eLife, 4, p. e05255. https://doi.org/10.7554/eLife.05255
Eyre-Walker, A. (2017) ‘Mitochondrial Replacement Therapy: Are Mito-nuclear Interactions Likely To Be a Problem?’,
Genetics, 205(4), pp. 1365–1372. https://doi.org/10.1534/genetics.116.196436
Falconer, D.S. and Mackay, T. (2009) Introduction to quantitative genetics. 4. ed., [16. print.]. Harlow: Pearson,
Prentice Hall.
Hadfield, J.D. (2010). MCMC methods for multi-response generalised linear mixed models: the MCMCglmm R package.
J. Stat. Softw., 33, 1–22
Hansen, T., Pelabon, C. and Houle, D. (2011) ‘Heritability is not Evolvability’, Evolutionary Biology, 38, pp. 258–277.
https://doi.org/10.1007/s11692-011-9127-6
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
25
Hansen, T.F. and Pélabon, C. (2021) ‘Evolvability: A Quantitative-Genetics Perspective’, Annual Review of Ecology,
Evolution, and Systematics, 52(1), pp. 153–175. https://doi.org/10.1146/annurev-ecolsys-011121-021241
Hansen, T.F. and Wagner, G.P. (2001) ‘Modeling Genetic Architecture: A Multilinear Theory of Gene Interaction’,
Theoretical Population Biology, 59(1), pp. 61–86. https://doi.org/10.1006/tpbi.2000.1508
Hereford, J., Hansen, T.F. and Houle, D. (2004) ‘COMPARING STRENGTHS OF DIRECTIONAL SELECTION: HOW
STRONG IS STRONG?’, Evolution, 58(10), pp. 2133–2143. https://doi.org/10.1111/j.0014-3820.2004.tb01592.x
Hil, W. and Robertson, A. (1966) The effect of linkage on limits to artificial selection. Genet Res 8: 269–294.
Hill, W.G., Goddard, M.E. and Visscher, P.M. (2008) ‘Data and Theory Point to Mainly Additive Genetic Variance for
Complex Traits’, PLoS Genetics. Edited by T.F.C. Mackay, 4(2), p. e1000008.
https://doi.org/10.1371/journal.pgen.1000008
Houle, D. (1992) ‘Comparing evolvability and variability of quantitative traits.’, Genetics, 130(1), pp. 195–204.
https://doi.org/10.1093/genetics/130.1.195
Huber, C.D. et al. (2017) ‘Determining the factors driving selective effects of new nonsynonymous mutations’,
Proceedings of the National Academy of Sciences, 114(17), pp. 4465–4470.
https://doi.org/10.1073/pnas.1619508114
James, J., and Eyre -Walker, A. (2020) Mitochondrial DNA Sequence Diversity in Mammals: A Correlation between the
Effective and Census Population Sizes . Genome Biology and Evolution , 12(12) pp. 2441 -2449.
https://doi.org/10.1093/gbe/evaa222
Jones, K., Bielby, J., Cardillo, M., Fritz, S., O'Dell, J., Orme, C., Safi, K., Sechrest, W., Boakes, E., Carbone, C., Connolly,
C., Cutts, M., Foster, J., Grenyer, R., Habib, M., Plaster, C., Price, S., Rigby, E., Rist, J., Teacher, A., Bininda -Emonds,
O., Gittleman, J., Mace, G., and Purvis, A., (2009). PanTHERIA: a species -level database of life history, ecology, and
geography of extant and recently extinct mammals. Ecology 90:2648.
Keightley, P.D. and Hill, W.G. (1988) ‘Quantitative genetic variability maintained by mutation-stabilizing selection
balance in finite populations’, Genetical Research, 52(1), pp. 33–43. https://doi.org/10.1017/S0016672300027282
Keightley, P.D. and Hill, W.G. (1990) ‘Variation maintained in quantitative traits with mutation–selection balance:
pleiotropic side-effects on fitness traits’, Proceedings of the Royal Society of London. Series B: Biological Sciences,
242(1304), pp. 95–100. https://doi.org/10.1098/rspb.1990.0110
Kellermann, V. et al. (2009) ‘Fundamental Evolutionary Limits in Ecological Traits Drive Drosophila Species
Distributions’, Science, 325(5945), pp. 1244–1246. https://doi.org/10.1126/science.1175443
Kumar, S., Suleski, M., Craig, J.E., Kasprowicz, A.E., Sanderford, M., Li, M., Stecher, G. and Hedges, S.B. (2022).
TimeTree 5: An Expanded Resource for Species Divergence Times . Molecular Biology and Evolution, DOI:
10.1093/molbev/msac174.
Leffler, E.M. et al. (2012) ‘Revisiting an Old Riddle: What Determines Genetic Diversity Levels within Species?’, PLoS
Biology, 10(9), p. e1001388. https://doi.org/10.1371/journal.pbio.1001388
Loegler, V., Thiele, P., Teyssonniere, E., Tsouris, A., Brach, G., Cruaud, C., Payen, E., Engelen, S., Dunham, M., Hou,
J., Friedrich, A., and Schacherer, J. (2025) From genotype to phenotype with 1,086 near telomere-to-telomere yeast
genomes. Nature 648, 649–658. https://doi.org/10.1038/s41586-025-09637-0
Long, A.D. et al. (2000) ‘Both Naturally Occurring Insertions of Transposable Elements and Intermediate Frequency
Polymorphisms at the achaete-scute Complex Are Associated With Variation in Bristle Number in Drosophila
melanogaster’, Genetics, 154(3), pp. 1255–1269. https://doi.org/10.1093/genetics/154.3.1255
Lynch, M. et al. (2023) ‘The divergence of mutation rates and spectra across the Tree of Life’, EMBO reports, 24(10), p.
e57561. https://doi.org/10.15252/embr.202357561
Lynch, M. and Hill, W. (1986) Phenotypic evolution by neutral mutation. Evolution 40(1).
https://doi.org/10.1111/j.1558-5646.1986.tb00561.x
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
26
Martinossi‐Allibert, I. et al. (2017) ‘Does habitat specialization shape the evolutionary potential of wild bird
populations?’, Journal of Avian Biology, 48(8), pp. 1158–1165. https://doi.org/10.1111/jav.01011
McVean, G., and Charlesworth, B. (2000) The Effect of Hill-Robertson Interference Between Weakly Selected
Mutations on Patterns of Molecular Evolution and Variation. Genetics, 155, 2(1), 929-944.
https://doi.org/10.1093/genetics/155.2.929
Mittell, E.A., Nakagawa, S. and Hadfield, J.D. (2015) ‘Are molecular markers useful predictors of adaptive potential?’,
Ecology Letters. Edited by D. Hosken, 18(8), pp. 772–778. https://doi.org/10.1111/ele.12454
Morrissey, M. (2016) Meta-analysis of magnitudes, differences and variation in evolutionary parameters. Journal of
Evolutionary Biology, 29(10), pp.1882-1904. https://doi.org/10.1111/jeb.12950
Muff, S. et al. (2019) ‘Animal models with group-specific additive genetic variances: extending genetic group models’,
Genetics Selection Evolution, 51(1), p. 7. https://doi.org/10.1186/s12711-019-0449-7
Myers, P., R. Espinosa, C. S. Parr, T. Jones, G. S. Hammond, and T. A. Dewey. 2025. The Animal Diversity Web (online).
Accessed at https://animaldiversity.org
Myhrvold, N., Baldridge, E., Chan, B., Sivam, D., Freeman, D. and Ernest, S. (2015). An amniote life-history database to
perform comparative analyses with birds, mammals, and reptiles. Ecology 96:3109. http://dx.doi.org/10.1890/15-
0846.1
Newsome, T., Wolf, C., Nimmo, D., Kopf, R., Ritchie, E., Smith, F., and Ripple, W. (2019) Constraints on vertebrate
range size predict extinction risk, Global Ecology and Biogeograohy. https://doi.org/10.1111/geb.13009
Ohta, T. (1971) Associative overdominance caused by linked detrimental mutations. Genetical Research, 18(3), 277-
286. https://doi.org/10.1017/S0016672300012684
Postel, Z. et al. (2022) ‘Reproductive isolation among lineages of Silene nutans (Caryophyllaceae): A potential
involvement of plastid-nuclear incompatibilities’, Molecular Phylogenetics and Evolution, 169, p. 107436. Available
at: https://doi.org/10.1016/j.ympev.2022.107436.
Pyron, M. (2002) Relationship between geographical range size, body size, local abundance, and habitat breadth in
North American suckers and sunfishes, Journal of Biogeography. https://doi.org/10.1046/j.1365-2699.1999.00303.x
Quéméré, E. et al. (2018) ‘Between-population differences in the genetic and maternal components of body mass in
roe deer’, BMC Evolutionary Biology, 18(1), p. 39. https://doi.org/10.1186/s12862-018-1154-9
R Core Team (2023). _R: A Language and Environment for Statistical Computing_. R Foundation for Statistical
Computing, Vienna, Austria. .
Reinders, J. et al. (2009) ‘Compromised stability of DNA methylation and transposon immobilization in mosaic
Arabidopsis epigenomes’, Genes & Development, 23(8), pp. 939–950. https://doi.org/10.1101/gad.524609
Robillard, É., A. Le Rouzic, Z. Zhang, P. Capy, and A. Hua- Van. 2016. Experimental Evolution Reveals Hyperparasitic
Interactions Among Transposable Elements. Proceedings of the National Academy of Sciences of the United States of
America 113, no. 51: 14763–14768.
Roux, F. et al. (2011) ‘Genome-Wide Epigenetic Perturbation Jump-Starts Patterns of Heritable Variation Found in
Nature’, Genetics, 188(4), pp. 1015–1017. https://doi.org/10.1534/genetics.111.128744
Schmitz, R.J. et al. (2013) ‘Patterns of population epigenomic diversity’, Nature, 495(7440), pp. 193–198.
https://doi.org/10.1038/nature11968
Stapley, J. et al. (2017) ‘Recombination: the good, the bad and the variable’, Philosophical Transactions of the Royal
Society B: Biological Sciences, 372(1736), p. 20170279. https://doi.org/10.1098/rstb.2017.0279
Wang, Y. and Obbard, D.J. (2023) ‘Experimental estimates of germline mutation rate in eukaryotes: a phylogenetic
meta-analysis’, Evolution Letters, 7(4), pp. 216–226. https://doi.org/10.1093/evlett/qrad027
Walsh, B. and Lynch, M. (1998) Genetics and Analysis of Quantitative Traits. New York: Oxford university press.
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
27
Walsh, B. and Lynch, M. (2018) Evolution and selection of quantitative traits. New York: Oxford university press.
Weisenberg, I. and Roff, D. (1996) Natural Heritabilities: Can they be reliably estimated in the Laboratory?. Evolution,
50(6), 2149-2157. https://doi.org/10.1111/j.1558-5646.1996.tb03605.x
Windig, J.J., Veerkamp, R.F. and Nylin, S. (2004) ‘Quantitative genetic variation in an island population of the speckled
wood butterfly (Pararge aegeria)’, Heredity, 93(5), pp. 450–454. https://doi.org/10.1038/sj.hdy.6800522
Wood, J.L.A., Yates, M.C. and Fraser, D.J. (2016) ‘Are heritability and selection related to population size in nature?
Meta‐analysis and conservation implications’, Evolutionary Applications, 9(5), pp. 640–657.
https://doi.org/10.1111/eva.12375
Young, E.A. and Postma, E. (2023) ‘Low interspecific variation and no phylogenetic signal in additive genetic variance
in wild bird and mammal populations’, Ecology and Evolution, 13(11), p. e10693. https://doi.org/10.1002/ece3.10693
.CC-BY-NC 4.0 International licenseperpetuity. It is made available under a
preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in
The copyright holder for thisthis version posted January 23, 2026. ; https://doi.org/10.64898/2026.01.22.701036doi: bioRxiv preprint
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.