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Title: Resurrection of the island rule – human-driven extinctions have obscured a basic
evolutionary pattern
Authors
Søren Faurbya,b, Jens-Christian Svenningb
a Department of Biogeography and Global Change, Museo Nacional de Ciencias Naturales, CSIC, Calle
José Gutiérrez Abascal 2, Madrid 28006, Spain
b Section for Ecoinformatics & Biodiversity, Department of Bioscience, Aarhus University, Ny
Munkegade 114, DK-8000 Aarhus C, Denmark
Corresponding author
Søren Faurby. Department of Biogeography and Global Change, Museo Nacional de Ciencias
Naturales, CSIC, Calle José Gutiérrez Abascal 2, Madrid 28006, Spain. Email:[email protected].
Tel. + 34 914 111 328. Fax + 34 915 645 078.
Keywords: Anthropocene, body size, evolution, islands, mammals
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The manuscript contains five supplementary figures, an appendix and a supplementary excel sheet
containing information on body size and island status of late-Quaternary mammal species.
This manuscript is intended to be a “Note.”
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Abstract
Islands are or have been occupied by unusual species, such as dwarf proboscideans and giant rodents.
The discussion of the classical, but controversial “island rule,” which states that mammalian body sizes
converge on intermediate sizes on islands, has been stimulated by these unusual species. In this study,
we use an unprecedented global data set of the distributions and body sizes of late-Quaternary mammal
species and a novel analytical method to analyze body size evolution on islands. The analyses produced
strong support for the island rule. Islands have suffered massive human-driven losses of species, and
we found that the support for the island rule was substantially stronger when the many late-Quaternary
extinct species were also considered (particularly, the tendency for dwarfing in large taxa). The
decisive support for the island rule in this study confirms that evolution plays out markedly different on
islands and that human impact may obscure even fundamental evolutionary patterns.
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Introduction
Before the arrival of humans, many oceanic islands housed bizarre mammal faunas. Dwarf
proboscideans used to occur on Mediterranean islands, the Channel Islands in California, and the island
of Timor in Southeast Asia, but are all extinct (Faurby and Svenning 2015). Similarly, giant rats were
frequent on islands, but with only a few species still extant (Faurby and Svenning 2015) and in some
cases with much reduced range, e.g., the Malagassy giant rat (Hypogeomys antimena) (Burney et al.
2008). In addition to these clades with numerous deviant island forms, many other clades also had a
single or a few odd-sized island species, e.g., the extinct dwarf hippos of Crete and Madagascar and the
extinct Sardinian giant pika (Stuenes 1989, Angelone et al. 2008).
These bizarre island mammals have stimulated the proposal for the island rule, which
states that mammalian body sizes converge on intermediate sizes on islands (Van Valen 1973).
However, the island rule has been intensely debated in recent years and is viewed alternately as a near
universal rule (Lomolino et al. 2012) or a sample or publication artifact (Meiri et al. 2008, Raia et al.
2010), with intermediate positions also argued (Welch 2009). Both opponents and proponents of the
island rule acknowledge that islands harbor an apparent abundance of species with extreme body sizes,
i.e., giant forms of small species and dwarf forms of large species (Meiri et al. 2008, Lomolino et al.
2012). However, the two schools have strongly debated whether the island rule represents a general
evolutionary pattern, the idiosyncratic changes in individual lineages or even the human tendency to
see patterns in all datasets (Van Valen 1973, Meiri et al. 2008, Raia et al. 2010, Lomolino et al. 2012).
Critics of the island rule argue two main points, both of which we overcome in the
present study. The first point concerns sampling bias. The studies that support the island rule have
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generally been meta-analyses of published comparisons between the mainland and island populations
of the same species (Van Valen 1973, Lomolino et al. 2012). As discussed for the related Bergmann’s
rule (Meiri et al. 2004), these studies may be a nonrandom subset of all populations and therefore a
significant pattern-matching expectation may be generated by a reporting bias. In this study, we
removed the possibility for such sampling bias by generating and analyzing a database that contained
the body sizes for approximately 99% of all extant and recently extinct species of mammals (see
Materials and Methods).
The second critique of the basis for the island rule is related to phylogenetic non-
independence. Previous studies have showed diminished support for the rule after accounting for
phylogeny in intraspecific analyses (Meiri et al. 2008, McClain et al. 2013). This problem is a form of
pseudo-replication, inflating estimates of precision and thereby potentially generating false
significances. The magnitude (or existence) of this problem, however, depends on what model is used
as the null model. As also pointed out by Welch (2009), the classical studies, which compared only
sister lineages (e.g., Lomolino 1985), are compatible with body sizes that evolved via simple models
such as Brownian motion (Felsenstein 1985) or Ornstein-Uhlenbeck (OU) models (Hansen 1997).
Studies that have analyzed ratios between sizes of island and mainland mammals in a phylogenetic
context (e.g., Meiri et al. 2008) might also be compatible with such models, if one assumes an identical
age for all island populations (which is clearly wrong since island endemics have ages ranging from
Paleogene to Holocene (Anderson & Handley 2001; Dewar & Richard 2012)). They could also be valid
if one is willing to assume no effect of the age of an island clade on the ratio between the size of the
island and mainland clade. This would, however, require that changes in body size only occurred at
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speciation and not during the later life of a species, which numerous studies have also shown to be
wrong (e.g. Meachen & Samuels 2012).
However, with the assumption that the rate of evolutionary change is a function of traits,
which are also evolving, i.e., via the correlation between generation length and evolutionary rate
(Welch et al. 2008, Thomas et al. 2010), phylogenetic non-independence is a problem for studies that
do not integrate phylogeny. Such a correlation is not a problem for studies that incorporate phylogeny
and that focus on the ratios between the island and mainland species, but such studies again require an
identical age of all island populations or that the island populations have reached a new equilibrium
size. Imagine, for example, an analysis that contained two sets of rodent mainland /island sister pairs
with short generation times, and therefore potentially fast evolutionary rates, and two sets of elephant
mainland/island species pairs with longer generation times, and therefore potentially lower
evolutionary rates. If the rate is evolving over time, the comparisons of the magnitude of change
between the species pairs will need phylogenetic correction because larger relative differences between
the mice species pairs than the elephant species pairs could be a null expectation. Irrespective of
whether the rate is evolving, however, the null expectations would remain a 50% decrease in size in
both mice and elephants, as long as neither clade is undergoing a consistent change in body size.
To solve the potential problem of phylogenetic non-independence without requiring an
identical age of all island populations or that the island populations have previously reached a new
equilibrium size, we restricted the analyses to focus only on the directionality and not on the magnitude
of change (see the Materials and methods). We stress that this restriction does not imply that body size
evolution departs from the expectation under a Brownian process. In fact, there are strong indications
that a Brownian process is often a good approximation (Blomberg et al. 2003, although see Uyeda et. al
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2011), but that our analysis (explained below) did not make that assumption. Moreover, the analysis
was almost independent of the assumed model of body size evolution.
In addition to the potential problems with the studies that support the island rule, the
primary interspecific study that dismisses the island rule (Raia et al. 2010) also has potential problems.
The study used a somewhat incomplete body size database (Smith et al. 2003) and a partially outdated
phylogeny (Bininda-Emonds et al. 2007). Raia et al. (2010) also included bats, whereas the classic
studies that support the island rule focused on non-flying mammals (Lomolino 1985) or analyzed bats
separately (Lomolino 2005). If supported, the island rule is likely a consequence of island isolation, and
the substantially lower levels of endemism in bats than in non-flying mammals (Weyeneth et al. 2011)
indicates that the island bat fauna is less isolated compared to non-flying mammalian fauna. Thus, the
island rule would be expected to establish a weaker pattern for bats than for non-bats.
Bats are also illustrative of another suggested problem of the island rule, but one we find
highly unlikely to be important. Meiri et al. (2008) discuss bats as a group that does not obey the island
rule and argue that this supports that the rule is not valid, but instead is consistent with some clades
growing and others shrinking in body size on islands independently of their mainland body size, with
the apparent rule simply a consequence of pseudo-replication. However, no mechanistic null model
showing directional size decreases in some clades and increases in others is suggested. The problem is
rather unmeasured parameters, which may or may not be phylogenetically clustered. The problem is
therefore likely better addressed by incorporating the relevant ecological factors than incorporating
phylogeny. In other words, if all bats disobey the island rule, it may not be because they are related, but
because they all are capable of flight. Since flight has only evolved only once in mammals, the genetic
distance between mammals and the ability to fly are correlated. An analysis on the island rule only
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focusing on body size and not phylogeny may therefore not be as appropriate as the same analysis
incorporating phylogeny in such cases, but none of these may be as appropriate as an analysis using
body size and the capacity for flight.
In this paper, we reanalyzed the magnitude of the island rule in an interspecific context
using a novel, near-complete body size database and a recent mammalian phylogeny (Faurby and
Svenning 2015) solely focusing on the directionality and not on the magnitude of body size changes in
island lineages. To determine the potential importance of the factors responsible for the apparent lack
of support for the island rule in the earlier studies that integrated phylogenetic relationships between
species, we estimated the effects of including or excluding bats and extinct species as well as different
definitions of islands.
Materials and methods
Data generation
For all analyses, we used the taxonomy and genetic relationships of a recent mammalian phylogeny,
which included all species with dated occurrences within the last 130,000 years, but lumping likely
chronospecies (Faurby and Svenning 2015). Notably, most extant mammal species existed throughout
this period and therefore coexisted with the extinct species, and there is increasing evidence that Homo
sapiens was the primary cause of these extinctions on mainlands (Sandom et al. 2014) as well as
islands (Turvey and Fritz 2011).
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We generated a new body size database, which included almost all known late-
Quaternary mammal species (5673 of 5747 species; of the 74 species without data, 8 represented
extinct known, but undescribed species). The new database was partly based on an older database
(Smith et al. 2003), but heavily modified. The information for 3629 of the 5673 species was used from
the older database, but our complete database contained information from a total of 709 separate data
sources (644 articles published in 146 separate journals, 55 books, 8 web resources and personal
information from two experts; the complete database is available in the Supplementary Data, in
addition to information on which islands all island endemic species are found). For the species for
which the weight data were not available, the weights were generally estimated with the assumption of
strict isometries for related similar-sized species. Isometry was generally assumed for forearm length in
bats and body length (excluding tail) for the remaining species, but other measures were also used
occasionally.
We scored island endemicity as a binary character and defined island endemics based on
three definitions. The first definition of island endemics (classical definition) considers any species as
an island endemic that is endemic to oceanic islands at the current sea level. The second definition
(strict definition) only consider species as island endemics if they are restricted to islands that have not
been not connected to a continent during Pleistocene glaciations (i.e., islands for which the deepest
water-level between the island and a continent is more than 110 meters deep). The third definition
(semi-strict definition) considers species as island endemics if they are endemic to either islands not
connected to the mainland during Pleistocene glaciations or small land-bridge islands (<1000 km2).
Irrespective of the definition we did not score species as island endemics if they are known from the
mainland within the Holocene. Hence, the Tasmanian devil (Sarcophilus harrisii) and the Tasmanian
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tiger (Thylacinus cynocephalus) were not considered island endemics under any of our definitions, as
they both occurred on mainland Australia until the mid-Holocene (Johnson and Wroe 2003).
The intent of the strict definition is to only score species as island endemics if they have
been restricted to islands for the majority of their evolutionary history, rather than just at high
interglacial sea levels (such as during the Holocene). For the few species that have evolved by rapid
speciation since the Last Ice Age on land-bridge islands (e.g., Anderson and Hadley 2001), this
definition is overly restrictive as they are excluded despite having been island endemics for their entire
evolutionary history. The semi-strict definition was therefore used to include all island species
originating after the last ice-age as island endemics even if they occur on land-bridge islands. We do
not know the precise age of all species and therefore chose a size threshold for island size since rapid
speciation likely has required a small population size and therefore a limited area. We acknowledge
that no strong arguments exist for setting this threshold to exactly 1000 km2. However, our threshold
means that the largest island with a strong candidate for such recent speciation (the endemic agouti
Dasyprocta coibae on the land-bridge island Coiba (503 km2)) is considered an island endemic. On the
other hand, the colobus monkey Procolobus kirkii from the somewhat larger land-bridge island
Zanzibar (1658 km2), which has been analyzed genetically and found to be Middle Pleistocene in age
(Ting 2008) and thus have existed also when Zanzibar was part of the African mainland during
glaciations, is not considered an island endemic by this definition.
Analyses
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The phylogeny used in this study consisted of 1000 separate fully bifurcating, random trees from a
posterior distribution of trees that represented the phylogenetic uncertainty from Faurby and Svenning
(2015). For these analyses we focused on the probability of decrease in body size after the colonization
of islands. As noted later we excluded all cases with no change in body size between island and
mainland species, meaning that the probability of size increase is equal to one minus this probability.
For the island rule to be true we would expect the probability of size decrease to be lower than 0.5 for
small species and higher than 0.5 for large species. The larger the effect of body size is on this
probability, the stronger support for the island rule. We analyzed the probability of size change as a
function of body mass based on a set of polynomials. The polynomials were used to allow flexible
responses between the dependent and independent variables, reducing the need for assuming a certain
functional response. In this regard we note that support for the island rule can only ambiguously be
inferred if the relationship between body size and the probability of size decrease is monotonic (which
it is for all our analyses). We reported our results based on the probability of size decrease weighted
across models and phylogenetic trees. It has recently been stressed that while it is important to
incorporate estimates from multiple models, parameters cannot simply be averaged when there is
multicollinearity among predictors (Cade 2015). As the different terms in polynomials will necessarily
be correlated, we therefore averaged the predicted probability of size decrease across the models rather
than averaging the individual parameter values.
Separate analyses were initially performed for each of the 1000 trees after which the results
from each tree were combined. For each island endemic species, we found the largest clade that
contained only island endemics (CIsland) and the smallest clade that contained both island endemics and
nonendemics and removed all members of CIsland from this clade (hereafter CMainland). We then estimated
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ancestral log10(Weight) for all CIsland and CMainland, assuming Brownian motion (hereafter SizeMainland and
SizeIsland). With the removal of the island endemics for the calculation of CMainland, we allowed body size
evolution to differ between island and mainland clades, but did not enforce such differences. Following
this procedure, we sampled all the island endemic species in random order, listed all members of CIsland
and, if the sampled species was not a member of the CIsland of any previously sampled species, noted the
size of the (SizeMainland) and whether this size was smaller or larger than SizeIsland. Therefore, our end
products were a vector of ancestral mainland weights for independent island invasions and a
corresponding vector with binary information on whether the island species were smaller than their
mainland ancestors. To reduce the effects of measurement errors on weight, we discarded all island
invasions for which the difference in weight between SizeMainland and SizeIsland was smaller than 10%
from further analyses. Supplementary analyses were performed using 0%, 5%, 15% and 20% weight
difference thresholds, but the results changed very little, although with a tendency for a weaker island
rule for the 0% threshold, possibly a consequence of increased noise in the data (see Supplementary
Figures S1-S5). Regarding these thresholds, we furthermore caution that for all thresholds above 0%,
there is a minor risk to generate a small bias if, as we have suggested in the introduction, there is
phylogenetic signal in the speed of body size evolution since the slowest evolving clades will be more
likely to be removed from the analysis. We believe, however, that this potential bias will be smaller
than the noise introduced by body size estimation errors if the magnitude of body size change was
analyzed instead; hence analyses focused purely on the existence (with a small threshold) and
directionality of a body size change should be the best option.
We then fitted zero to the 4th degree polynomial models of the probability of size decrease as a
function of the SizeMainland using logistic regression (M 0Tree i, M 1Treei
, M22 Treei, M3Tree i
,M 4Tree i ) and calculated their
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respective AIC weights (w0Tree i, w1Treei
,w22Tree i, w3Tree i
, w4Tree i ). For all the potential values of SizeMainland between
0.0 and 6.0 (i.e., untransformed weights between 1 g and 1 ton) in steps of 0.1 for all models, we then
calculated the means and the variances, (μM 00.0Tree i…. μM 06.0Tree i) and (σ2
M 00.0Treei…. σ2
M 06.0 Treei), respectively, for the
untransformed fitted values for all five models.
The results were thereafter combined for all five models for each potential value of CMainland as a
mixture of the normal distributions from the five models, with the weight of each model equal to the
AIC weight. Therefore, the combined result was that the predicted effect for any body size (k) would
be in the distribution Predict kTree i=∑j=0
4
w jTree i×N ( μM jkTree i
, σ 2M jkTreei
), where i is one of the 1000 trees and j
represents the order of the polynomial ranging from 0 to 4. Following this procedure, the results were
combined for all trees as Combined k=∑i=1
1000
Predict kTree i. Finally, the median and several quantiles for the
Combined k were transformed into probabilities.
We tested the effect of the definition of an island endemic, the potential effect of the
anthropogenic extinctions to bias the results, and the effect of including bats in the analysis. This
analysis was performed separately for each of the twelve combinations of the three definitions of island
endemics (classical, semi-strict, strict), the exclusion or inclusion of bats, and the exclusion or inclusion
of extinct species.
For all analyses in this paper we assume a completely genetic basis for body size. We
acknowledge this to be potentially problematic since plasticity rather than genetics often drives changes
in average body sizes within populations, at least over short time (see discussion in Boutin and Lane
2014), and plasticity therefore likely also plays a role in comparisons between populations or species.
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We believe that this potential bias is unlikely to be of sufficient magnitude to generate wrong
conclusions and note that as long as the plastic effects are relatively small they should only influence
comparisons where mainland and island species are essentially of the same size. Plasticity would
therefore be expected to be a larger problem for the comparisons with smaller thresholds for the
difference between mainland and island clades to count as a size change, but our results remain stable
across the broad range of tested thresholds (Figs. S1-S5).
All analyses were performed in R 3.0.2 (R Core Team. 2013) using functions from the libraries
ape (Paradis et al. 2004), phylobase (R Hackathon et al. 2014) and qpcR (Spiess 2014).
Model justification
Because our analysis included approximately 99% of all mammal species, the issue of publication bias
was dismissed. However, we acknowledge that small biases might remain because of taxonomic
practices, e.g., island populations that diverged more in size from their mainland relatives may be more
likely to be classified as separate species. One example of such a small bias could be the island
endemic pygmy sloth (Bradypus pygmaeus) whose change in body size relative to its mainland
ancestor is one of the reasons for species recognition (Anderson & Handley, 2001). These questionable
populations or species are generally found on land-bridge islands (as with the pygmy sloth), and
therefore, this type of bias is a problem that should only affect analyses based on the classical or semi-
strict, but not the strict island endemic definition.
However, a problem noted by Meiri et al. (2008) might have affected our analysis of the
direction of body size change. Imagine two hypothetical vectors A and B, which are fully independent.
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In this instance the correlation between B and B/A is disproportionally likely to be significant. Meiri et
al. (2008) extended this basic mathematical result to the island rule and argued that the island rule
pattern would therefore occur even when the body sizes of the populations or species on the islands
were in fact independent of the body sizes of their mainland relatives. Using simulations with
parameters derived from the empirical data we were, however, able to show that the suggested
problem, while theoretically sound, is not a problem in our case due to the strong correlation between
the sizes of the corresponding island and mainland species (see appendix A).
It has previously been suggested that reduced major axis (RMA) regression is the most
appropriate method to investigate the island rule in intraspecific analyses because it can incorporate
error in the estimates of both the mainland and islands forms as opposed to just the island ones (Welch
2009). This method can readily be expanded to include phylogenetic autocorrelation and could be
expected to be appropriate also in the present case. However, as stressed by the author of one of the
implementations of the phylogenetic RMA regressions (Revell 2011), RMA regressions (whether
phylogenetic or not) are only appropriate if the error on the dependent and the independent variable are
of comparable magnitude. In contrast in our case the uncertainty for the island species will be
substantially larger in many cases. This makes RMA regression inappropriate, but should not be a
problem for the analysis that we have implemented. This difference in precision is partly due to
extinctions since there are numerous comparisons where the island species or clade is extinct, but the
mainland species or clade is extant and none where it is only the island species or clade that is extant.
The precision in the size of extant species is necessarily higher than for extinct species where the size
cannot be directly measured, but is inferred based on various equations relating the size of the skull or
the length of a bone to an approximate body size. Even for the extant species there will often also be a
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difference in precision due to the frequently lower sample size used to estimate the average body size
of island endemics than the often more widely distributed mainland relative.
Results
Strong support for the island rule was provided when bats were excluded from the analysis, while it
was only weakly supported when the bats were included. Among the 12 combinations of island-type
definitions and included species, the strongest support for the island rule (measured as the difference
between the predicted probability for size increase species for species with a size of 1 ton and 1 gram)
was with the strict island definition and exclusion of bats, but inclusion of extinct species (Table 1,
Figure 1, Figures S1-S5). The inclusion of bats in the analysis consistently led to markedly lower
support for the island rule, as the addition of the bats removed or at least reduced the tendency for small
mammals to increase in size on islands. The inclusion of the extinct species and the application of the
strict or semi-strict island definitions provided stronger support for the island rule, but only when bats
were excluded.
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Discussion
The validity of the island rule was clearly supported by our analyses. We suggest that part of the
explanation for the lack of evidence for the island rule in the earlier interspecific study (Raia et al.
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2010) is not incorporation of the phylogeny, as the authors suggested. We consider it more likely that it
was caused by their choice to disregard the ecological difference between flying and non-flying
mammals and, to a lesser extent, their choice of definition of island endemics and the incomplete
inclusion of historically extant species (i.e., species that occurred within the Late Pleistocene or
Holocene). In this regard, we do not state explicitly that the models that excluded bats in our analysis
provided a better fit to the data than the models that included bats; rather, we state that the estimated
effect of body size (i.e., the island rule) is substantially stronger in the models that excluded bats.
Since our results clearly showed that the island rule is a valid phenomenon, the question
becomes what factors could be driving it since numerous drivers has been suggested (see for instance
discussion in Lomolino et al. (2012)). Most of these drivers focus on what happens after the
colonization, but one potential driver, immigrant selection, is noteworthy for postulating that the driver
for gigantism in small species instead is that the largest individuals are most likely to survive the
transport to the islands. However, this mechanism cannot explain dwarfism in large-bodied mainland
taxa. Immigrant selection could play a role at the relatively short timescales reflected in intraspecific
analyses, but considering the evolutionary rates over small to medium time scales (Gingerich 2001),
any effect of immigrant selection must be expected to have disappeared in interspecific analyses.
Stabilizing selection should move the average body size of the island species back to the average size
of the mainland population within this time frame unless the selective forces governing body size differ
between mainland and island (see Jaffe et al. (2011) for a similar argument regarding body size
evolution in island tortoises), our results therefore suggest that another driver than immigrant selection
is needed.
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We suspect that the primary driver behind the island rule is ecological release. Body sizes
of mainland species are likely to at least partly driven by competition and predation (Brown and
Wilson, 1956). If one of the reasons for large body size in the largest species such as elephants is
reduced susceptibility to predation, it would explain why elephants generally dwarf in islands, i.e.,
given the absence of large carnivores, which cannot normally maintain minimum viable population
sizes on islands due to the small area available. For small species on the other hand lower predation
could reduce selection for early reproduction, leading to larger adult size. Competition may likewise be
important if within a given guild there is a more or less bell-shaped response between body size and the
part of the resource than can be utilized. This can be illustrated by looking at a couple of hypothetical
insectivorous bats. If the bat gets too small, the largest insects may get increasingly difficult to catch
while if the bat gets too big, the smallest insects may no longer be energetically viable to catch. Hence,
an intermediate size should be optimal if only one bat species occurs in a habitat. If two bat species are
present, character displacement may on the other hand be beneficial to reduce competition and the
development of one large and one small species will maximize the available resources for each species.
The pattern on islands has sometimes instead been interpreted in the context of
differential extinction since data suggest a lower extinction rate of intermediate-sized species (Marquet
& Taper 1998). One could therefore hypothesize that body sizes of island species develop in random
directions and the species evolving similar to the expectations of the island rule are the ones surviving.
and that intermediate sized species have higher density and therefore easier can maintain a stable
population on small islands. We cannot rule out that this plays a role, but note that a lower extinction
for intermediate-sized species could also be driven by less resource availability for extreme-sized
animals as described above.
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The effects of including or excluding land-bridge islands and bats into the analysis
provided support for ecological release as the main driver of island rule. In this case, the island rule
should only become realized for taxa on islands with reduced numbers of predators or competitor
species. Therefore, the island rule should not apply or be much less applicable to land-bridge islands, as
was indeed the case in our analyses, as these have been part of continental mainland during the last
glaciation, in addition to many earlier periods during the Pleistocene. The species on the land-bridge
islands would have experienced similar faunas as those on mainlands for a large part of their
evolutionary history, and therefore these species would not have experienced ecological release, or
only a relatively brief release (during the Holocene), which is likely insufficient for substantial changes
in body size to develop. Similarly, island bats are not likely to have experienced significant ecological
release on islands because the primary predators of bats are birds such as raptors and owls (Rydell and
Speakman 1995). These birds are typically strong fliers and therefore even long isolated islands tend to
harbor well-developed predatory bird faunas. Thus, for the native bat fauna on islands, predator release
would be limited or would not occur. Again, this is consistent with our finding that including bats in the
analyses substantially reduced support for the island rule.
With the arrival of humans, island faunas suffered severe extinctions. Our data set
included 589 non-flying and 223 flying island endemics based on the strict island definition, with
overall late-Quaternary extinction rates of 20% and 4%, respectively (the corresponding number for all
the islands was 916 non-flying and 323 flying species with extinction rates of 13% and 3%,
respectively; see Supplementary Data). These extinctions are often tightly linked to human arrival and
to evidence of human hunting or other anthropogenic factors (Turvey and Fritz 2011). Based on our
analysis, the inclusion of the extinct species strongly increased the support for the island rule. The
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incorporation of the extinct island species was previously advocated for ecological studies (Griffiths et
al. 2009, Hansen and Galetti 2009), but our results highlighted the necessity to also include these
species in evolutionary studies. The recent human-driven extinctions most likely have obscured signals
related to the long-term evolutionary responses to island environments, for example, the elimination of
the most specialized island lineages (Lomolino et al. 2013). In this regard, we note that since both
dwarfing and gigantism may an evolutionary consequence of predator release as discussed above, the
species with largest changes in body size on islands would be expected to be the most sensitive to
predation by humans or our commensal animals.
In this study, the decisive support for the island rule highlights that the function of island
ecosystems is fundamentally different from that of mainland systems (cf. Millen 2006) and that these
differences drive divergent evolutionary dynamics on islands and the mainland. Notably, our results
were consistent with a weakening of ecological interactions on islands, causing body sizes to shift to
intermediate biomasses, irrespective of the ancestral body size or the phylogenetic lineage. Conversely,
the strong support for the island rule also implies that much of the large variation in body sizes and the
repeated evolution of similar maximum body sizes in mainland systems (Smith et al. 2010) must be
consequences of intense ecological interactions in these settings.
Appendix A. Simulation
Simulation parameters
To assess the effect of this relationship, we generated random two-dimensional multivariate normal
distributions using the R library rmvnorm (Genz et al 2015). We generated 100 datasets with the same
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means and variance-covariance matrices and samples sizes as the empirical sets of SizeMainland and
SizeIsland , for each of the three definitions of islands, with and without including the extinct species.
This was repeated for SizeMainland and SizeIsland for each of the 1000 trees, resulting in datasets of a total of
100,000 simulations in each case. For each of these we fitted a binomial regression of the probability of
the simulated SizeIsland being larger than the simulated SizeMainland, again discarding all examples with
size difference less than 10% (the threshold used in the main analysis). Since the difference is
computed for the logarithm of body size, this means that cases where the difference was smaller than
0.043 (i.e. the difference between the log10 of two values differing if size by 10%) were discarded. We
also generated a set representing a null model where SizeMainland and SizeIsland were independent,
illustrating the expected consequences for the regression of SizeMainland versus SizeIsland / SizeMainland in the
simple case criticized by Meiri et al. (2008). For the null model we estimated the means and variances
of SizeIsland and SizeMainland based on the classical island rule including extinct species (the largest
possible dataset), but set the covariances to zero.
Simulation results
Our analysis of simulated sets of body sizes indicated that our test is not susceptible to unacceptable
type I error rates (Figure 2). The simulations of the scenario with uncorrelated SizeIsland and SizeMainland
suggested a 100% type I error rate, but problematic type I error rates did not occur in the simulations
incorporating the high correlation between SizeIsland and SizeMainland, (near 0.95) observed in the real data
set. The three scenarios with values fitted based on extant species (and with all variances and co-
variances approximately equal) showed a marginally increased type I error rate near 6% and a
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negligible increased median slope higher than the ideal value of 0. For the three scenarios including
extinct species (where the estimated covariance was higher than the estimated variance for SizeIsland ),
the test was instead overly conservative. The histogram of slopes showed that negative slope of the
probability of a size decrease on islands as a function of mainland size (the opposite of the island rule)
was common and the histograms of P-values showed that many of these were significantly so.
Figure A1. Estimated relationships for simulated body sizes
All panels in the left column show histograms of two-tailed P-values for the probability of a
size decrease on islands as a function of mainland size for different simulated datasets. A
stippled line is added, showing the vertical line that is expected for an unbiased test. The right
column shows the corresponding histograms of estimated slopes (where the median should be
zero for an unbiased test).
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Acknowledgments
SF was supported by the Danish Natural Science Research Council #4090-00227). JCS was supported
by the European Research Council (ERC-2012-StG-310886-HISTFUNC). We greatly appreciate input
on earlier versions of the manuscripts from the reviewers Pablo A. Marquet and Ally Phillimore and
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the editors Drew Kerkhoff and Susan Kalisz. In particular we thank Ally Phillimore for his suggestion
for how best to estimate the strength of the potential analytical problem we discuss in appendix 1.
Supplementary Materials
Figures S1-S5.
Supplementary data. A database of body size and island species endemicity.
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Table 1. The estimated strength of the island rule under the 12 different analyzed scenarios
Island-endemic
definition
Including
extinct species
Including bats Difference between the predicted
probability of size increase for
species of 1 ton and 1 gram. The
2.5 and 97.5% quantiles are given
in parentheses
Classical No Yes 0.621 (-0.137 – 0.988)
Classical No No 0.733 (0.038 – 0.972)
Classical Yes Yes 0.602 (0.229 – 0.940)
Classical Yes No 0.758 (0.351 – 0.994)
Semi-strict No Yes 0.535 (-0.262 – 0.952)
Semi-strict No No 0.841 (-0.009 – 0.986)
Semi-strict Yes Yes 0.540 (-0.019 – 0.898)
Semi-strict Yes No 0.876 (0.021 – 1.000)
Strict No Yes 0.556 (-0.230 – 0.972)
Strict No No 0.863 (-0.033 – 0.999)
Strict Yes Yes 0.572 (-0.020 – 0.947)
Strict Yes No 0.904 (0.019 – 1.000)
Figure S1. Relationships between ancestral body size and directionality of evolutionary
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size change after island invasion for the 12 separate analyses without any threshold for a
minimum size difference between island and mainland clades.
The structure and meaning of the individual lines in each panel are identical to those in Figure
1.
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Figure S2. Relationships between ancestral body size and directionality of evolutionary
size change after island invasion for the 12 separate analyses with a threshold for a
minimum size difference between island and mainland clades of 5%.
The structure and meaning of the individual lines in each panel are identical to those in Figure
1.
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Figure S3. Relationships between ancestral body size and directionality of evolutionary
size change after island invasion for the 12 separate analyses with a threshold for a
minimum size difference between island and mainland clades of 10%.
The structure and meaning of the individual lines in each panel are identical to those in Figure
1.
Figure S4. Relationships between ancestral body size and directionality of evolutionary
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size change after island invasion for the 12 separate analyses with a threshold for a
minimum size difference between island and mainland clades of 15%.
The structure and meaning of the individual lines in each panel are identical to those in Figure
1.
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Figure S5. Relationships between ancestral body size and directionality of evolutionary
size change after island invasion for the 12 separate analyses with a threshold for a
minimum size difference between island and mainland clades of 20%.
The structure and meaning of the individual lines in each panel are identical to those in Figure
1.
Figure Legends
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Figure 1. Relationships between ancestral body size and directionality of evolutionary size change
after island invasion.
The estimated probability of a size decrease as a function of the ancestral body size of the island
invading clade. The thick black line shows the median of the distribution of potential predicted values,
whereas the three stippled lines show the 2.5/97.5%, 5/95% and 15/85% quantiles. Because the
response variable is binary, the values below the horizontal line indicate that a clade is most likely to
increase in size, and the values above the horizontal line indicate that a clade is most likely to decrease
in size. The first panel shows the relationship for non-flying mammals, including both extinct and
extant species for isolated islands. The last panel shows the relationship for both flying and non-flying
mammals but only for extant species and using all islands. The three differences between the panels are
changed one by one; the last three panels use all the islands, the last two panels only analyze extant
species and the last panel analyzes all mammals without restricting the analysis to non-flying species.
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