Quantitative traits are an important part of tardigrade taxonomy for both heterotardigrades and eutardigrades. Because most quantitative traits vary as a function of body size, variation in body size complicates comparisons between individuals or populations. Thus, body size effects must be eliminated in morphometric analysis. Although ratios (size of character/body size) are often used to attempt this, they only work for the specific case of isometry (i.e. when a structure grows proportionally to body size). Ratios do not eliminate body size effects for allometric (disproportionate) growth. In eutardigrades, body size is highly correlated with the length of the rigid buccal tube, whereas body length (BL) is highly variable because of the flexibility of the cuticle and the orientation and coverslip pressure on the specimen. In heterotardigrades, BL is typically used to indicate body size because the thickened dorsal plates provide more rigidity and reliability in measurements. We measured 27 traits in 97 specimens of Paramacrobiotus tonollii (Eutardigrada) and 14 traits in 100 specimens of Echiniscus virginicus (Heterotardigrada) and found that many traits are allometric rather than isometric. Thorpe (1975, Biol J Linn Soc 7:27) provided a normalization technique to eliminate body size effects for any trait regardless of its relationship to body size. Using the data from P. tonollii, we show that Thorpe's size normalization does successfully remove buccal tube length effects (body size effects), while pt indices generally do not. We also demonstrate the effectiveness of Thorpe's normalization in species delineations of Macrobiotus recens and Macrobiotus hufelandi, two species that differ primarily in a few quantitative traits and overall body size in addition to the eggs. Based on these examples, we propose that the allometric exponent (b) and the Y-intercept (a*) of the regression of Thorpe normalized traits versus body size are valuable metrics in tardigrade systematics.

Mainly because of the problems with species delineation, the biogeography of microscopic organisms is notoriously difficult to elucidate. In this contribution, variable nuclear and mitochondrial DNA markers were sequenced from individual specimens representing the Echiniscus virginicus complex that are morphologically indistinguishable under light microscopy (five populations from the temperate Eastern Nearctic and 13 populations from the subtropical and tropical zone). A range of methods was used to dissect components of variability within the complex (Bayesian inference, haplotype networks, Poisson tree processes, automatic barcode gap discovery delineations, principal components analysis and ANOVA). We found deep divergence between the temperate Eastern Nearctic E. virginicus and pantropical Echiniscus lineatus in all three genetic markers. In contrast, intraspecific genetic variation was very low, regardless of the geographical distance between the populations. Moreover, for the first time, statistical predictions of tardigrade geographical distributions were modelled. The factor determining the allopatric geographical ranges of deceptively similar species analysed in this study is most likely to be the type of climate. Our study shows that widespread tardigrade species exist, and both geographical distribution modelling and the genetic structure of populations of the pantropical E. lineatus suggest wind-mediated (aeolian) passive long-distance dispersal.