Biovolume (mm
3) ranges 17 orders of magnitude among the modern metazoans, from the blue whale (
Balaenoptera musculus, 1.9×10
11
mm
3) to small rotifers, nematodes, polychaetes, gastrotrichs and copepods (7.8×10
−6 to 5.1×10
−5
mm
3; see appendix 1 in the electronic supplementary material). Size variation among the polyphyletic invertebrates is a substantial 15 orders of magnitude, ranging from the giant squid (
Architeuthis dux, 5.9×10
9
mm
3) to the aforementioned minuscule invertebrates.
Even a cursory viewing of the dataset suggests a qualitative relationship between species richness and biovolume range among metazoan phyla/subphyla (see appendix 1 in the electronic supplementary material). Both quantitative, phylogenetically corrected and uncorrected tests yield significant correlations between richness and both maximum (positive correlation) and minimum (negative correlation) biovolume ( and ; ). Richness is correlated more strongly with maximum rather than minimum biovolume among the Metazoa ( and ). Total biovolume range is the strongest correlate of richness, suggesting that although the correlation with minimum biovolume is weaker, it remains important ( and ;
c and ). Surprisingly, minimum and maximum biovolume (Bv
min and Bv
max, respectively) among all phyla and subphyla are not significantly correlated with each other (non-corrected:
r=0.33,
p=0.1432; corrected:
r=0.11,
p=0.2222). These results also clearly show that there is no relationship, or at best only a weak relationship, between mean or median body size values and richness (
Orme et al. 2002).
| Table 1Non-phylogenetically corrected regressions between richness (R) and maximum body size, minimum body size and body size range. (Statistics are given for Pearson's r (correlation coefficient), reduced major axis (RMA) regression and ordinary least-squares (more ...) |
| Table 2Phylogenetically corrected regressions between richness (R) and maximum body size, minimum body size and body size range. (Statistics follow .) |
In families of mammals and birds, relationships between richness and body size are stronger after phylogenetic correction, although minimum mass for both groups and size range for birds are significant in the raw data (). The importance of phylogeny here is to be expected, given the greater phylogenetic relatedness and greater non-independence among avian and mammalian families compared with the metazoan phyla. When phylogenetic relatedness is accounted for, regressions show strong relationships between species richness and both minimum and maximum body mass (g) among taxonomic families (). The slopes of these relationships are shallower than across metazoan phyla, and minimum size is correlated more strongly with richness than maximum size ( and ). Mass range is the strongest correlate of richness among avian and mammalian families (; ). In contrast to metazoans, maximum and minimum sizes are significantly correlated in both the corrected (birds: r=0.41, p<0.001; mammals: r=0.68, p<0.001) and non-corrected data (birds: r=0.88, p<0.001; mammals: r=0.92, p<0.001).
(a) Body size and biodiversity metrics
Three potentially confounding factors could influence the general results here. First is the use of biovolume for metazoan phyla, dictated by practicality and availability of measurements, as opposed to mass. The large range of biovolume values and log transformation minimize this impact. Use of biovolume also does not account for differences in actual organic material weights. For example, the largest cnidarian,
Cyanea arctica, and poriferan,
Aphrocallistes vastus, occupy approximately the same biovolume as the giant squid,
A. dux, but they do not have similar organic material weights. For medusae, ash-free dry weight is less than 2 per cent of total weight (
Lucas 1994) and for poriferans between 9.3 and 12.1 per cent (
Ricciardi & Bourget 1998). By contrast, ash-free dry weight is 13.6–29.2% of wet weight in cephalopods (
Ricciardi & Bourget 1998). This implies that the actual size range of cnidarians and poriferans is smaller than quantified here. However, a reduction in their size range would strengthen the correlation between richness and maximum size.
The second factor that may affect our interpretation is that estimates of species richness reflect only our current knowledge and represent an underestimate of the actual richness within a phylum. For example, the size range of Priapulida (c) is far greater than expected from its 16 currently described species, indicating that unknown biodiversity may increase richness estimates for this group by at least an order of magnitude. However, a Spearman's rank-order test also produces strong, significant relationships (Bvmax: ρ=0.68, p=0.0004; Bvmin: ρ=−0.73, p<0.0001), implying that revised estimates of richness would have to drastically alter the ordinal ranking of phyla to affect our results. Furthermore, change in the sign of the slope would require both gross overestimates of species-rich groups and gross underestimates of species-poor groups.
Third, the discovery of new species may increase the range of body sizes in the least studied groups. For some phyla, the size range is reasonably characterized (e.g. Mollusca) and for others it may be unwarranted to assume that an undiscovered giant exists that is substantially larger than any known species. Nevertheless, for this to influence the results, the effect would need to occur primarily in species-poor taxa and the new species would need to be at least twice the size of the largest or half of the smallest known species.
(b) Linkage between diversification and morphospace exploration
Evolutionary radiation in morphospace often coincides with increases in taxonomic richness in the initial diversification of a clade (
Foote 1993). In many cases, morphological extremes are reached early in a clade's history with subsequent diversification simply filling in the previously defined morphospace (
Foote 1997). By contrast, body size range appears to continuously increase through time, a trend documented in a variety of taxa (
Alroy 1998;
Trammer 2005;
Hunt & Roy 2006;
Novack-Gottshall & Lanier 2008) and across all life (
Payne et al. 2009). Punctuating these gradual increases in size are sudden jumps in maximum size such as the K–T boundary for mammals (
Alroy 1998) or at
ca 1.9

Ga and 0.6–0.45

Ga during the evolution of life (
Payne et al. 2009). Our results suggest that continued expansion of body size range over time parallels diversification across the Metazoa. This linkage not only occurs at broad phylogenetic scales but appears to apply equally for individual taxa such as mammals, birds, bivalves, trilobites, cetaceans and crinoids (
Trammer 2005).
The increase in size range within a clade appears to follow in lock-step with increases in the number of species. One mechanism for this concordance is simple morphological diffusion during the radiation of a clade, where increases and decreases in size are equally likely to occur. This diffusive mechanism is invoked to explain Cope's rule and other patterns of body size evolution as an increase in body size variance rather than persistent directional selection (
Jablonski 1997). Our observations are consistent with three main expectations of passive diffusion: both maximum and minimum body sizes show strong relationships with richness; body size range increases with increasing clade richness; and the slopes of maximum and minimum body sizes with richness mirror each other. However, in a purely diffusive model, a correlation between maximum and minimum sizes might be expected, a result not seen among Metazoa. This discrepancy might be explained by a limit to either maximum or minimum size (e.g. reflecting barrier,
McKinney 1990;
Kozlowski & Gawelczyk 2002) in some clades, while body size range continues to expand away from the barrier in the other direction. Teasing apart passive versus directional trends may be difficult, as patterns resembling passive diffusion may be produced by the interactions of a multitude of context and scale-dependent effects involved in dividing niche space among body sizes (
Jablonski 1997).
The second possible mechanism behind our observations is that body size represents an important dimension of the niche, and substantial increase in the number of species requires expansion of the size morphospace. This implies that competitive displacement has to some extent limited the number of species that can be ‘packed’ between size extremes within a clade. The concept that differences in body size promote niche differentiation is well established (
Hutchinson 1959;
Grant 1968;
Schoener 1970;
Wilson 1975). For example, body size relates to food partitioning, space division and trophic level (
Schoener 1968;
Kerr & Dickie 2001;
Marchinko et al. 2004;
Layman et al. 2005), all important in separating species in niche space. Thus, a flexible bauplan and the greater body size range that results may allow for greater niche differentiation in some phyla. For example, over 10 orders of magnitude in biovolume exist between the smallest and the largest species in eight phyla (Nematoda, Annelida, Platyhelminthes, Arthropoda, Cnidaria, Porifera, Mollusca and Chordata;
a–c), coinciding with the eight most speciose phyla among the metazoans (5000–137

000 species). This immense size variation parallels an equally expansive intra-phylum range in niche space (e.g. free living, parasitism, sessile, mobile, scavenging, predatory, filter and deposit feeding). Indeed, six of these phyla have successfully radiated into all three major biomes (i.e. freshwater, terrestrial and marine) on the Earth.
(c) Limits to size extremes and evolutionary novelty
Conspicuous outliers (clades outside the 95% confidence intervals of the relationship) do exist in the overall relationship between species richness and maximum and minimum biovolume. Gastrotricha, Tardigrada, Rotifera, Loricifera and Gnathostomulida, groups restricted to water films and interstitial spaces, are outliers in the relationship between maximum size and richness (phyla coloured green in
a), and have smaller maximum sizes than expected for their richness. Interstitial habitats severely constrain organismal size through physical space limitation as individuals are unable to shift sediment particles and are confined to pore spaces (
Schwinghamer 1981). Size bins adjacent to interstitial sizes in biomass spectra are well known to correspond to low biomass and potential fitness troughs (
Warwick & Clarke 1984;
Kerr & Dickie 2001). Experimental evidence indicates that interstitial nematodes readily obtain much larger sizes when grown in a less confining medium (
Anderson & Coleman 1977). Rotifers found in space-limited habitats (e.g. water films on mosses, damp soil, interstitial spaces) are also much smaller (45–57

μm in length) than pelagic forms (R. Shiel, personal communication, 2005).
Among metazoan phyla, vertebrates are a distinctive outlier in that they have a larger minimum size than expected from their diversity (
b). Minimum size in endothermic vertebrates is thought to be tightly constrained by both environmental factors and metabolic demands (
Tracy 1977). Miniaturization of vertebrates, including the smallest known fish,
Paedocypris progenetica, is often a result of developmental truncation (
Hanken & Wake 1993). Within vertebrates, eight outlying families of birds have smaller body size ranges than expected given their diversity (). In these groups (seven passerine families and the hummingbirds), size constraints related to the physiology of flight may limit maximum size. Similarly, in mammals, several families of bats, fossorial rodents and arboreal primates also show smaller body size ranges than expected, indicating possible body size constraints associated with those lifestyles. Within arthropods, it is also clear that the subphylum Hexapoda, containing insects, has appreciably larger species richness compared with the subphylum Crustacea, despite the considerably larger size range in the latter. This probably reflects both the extraordinary niche diversification of insects, possibly unrelated to body size, and the relative underestimation of total crustacean diversity, especially among smaller body sizes.
Despite size constraints on either maximum size (interstitial groups) or minimum size (vertebrates), both groups continue to expand their size range in the direction opposite the constraint. Gastrotrichs, rotifers, gnathostomulids and loriciferans all contain species much smaller than predicted by their richness alone (
b). In other clades, key innovations in niche space were required. Groups such as nematodes, with many interstitial members, evolved fundamentally different niches such as parasitism to expand their size range. For example, the largest species is
Placentonema gigantissima, a 6–9

m long parasite occurring in the placentas of sperm whales. Buffered environmental conditions, a continuous food source and relaxation of mechanical requirements of locomotion (
Kirchner et al. 1980) have allowed parasitic forms to reach much larger sizes than their free-living relatives in nematodes (
Kirchner et al. 1980), amphipods (
Poulin & Hamilton 1995) and copepods (
Poulin 1995). The size range for vertebrates has greatly expanded through the evolution of the baleen whales, such as the blue whale,
B. musculus, perhaps a maximum size limit set by either bioenergetics or life-history constraints (
Dobson & Headrick 1995;
Corkeron & Connor 1999). The evolution of colonial forms was also important in increasing size range. In Bryozoa, colonial forms greatly expand the size range from either the smallest autozoid (nine orders of magnitude) or the smallest colony (seven orders of magnitude) to the largest colony (
a,
c), and may explain its relatively heightened richness. Increases in colony size coincide with increases in colony individuation, dispersal ability, resistance to physical stress, homeostasis and division of labour, but the extent to which large colony size may be favoured by natural selection remains unknown (
McShea & Venit 2002).