Adaptive allometry of wing outline in Tachinidae flies

Abstract
The size and shape of insect wings vary widely within and among species. One important aspect of this variation is allometry, the relationship between size and shape. Recent predictions suggest that larger insects can fly with a disproportionately smaller wing area or a disproportionately smaller second moment of wing area. These predictions can be used to test whether observed wing allometries represent aerodynamic adaptations. In this study, we quantified wing outline shape and aerodynamic parameters in 139 species of Tachinidae. Consistent with theoretical predictions, the nondimensional radius of the second moment of area increased with thorax width and wing length at a rate lower than expected under isometric scaling. However, we found no evidence that wing area scaled hypoallometrically with thorax width or wing length. Wing shape, described using semilandmarks, was significantly related to wing length. Smaller wings were widest near the center and had more rounded tips, whereas larger wings were widest proximally and tapered asymmetrically toward the tip. These results suggest that wing outline allometry in Tachinidae may be an adaptation to flight aerodynamics.
Acknowledgements
Sajad Ganie expresses sincere gratitude to SKUAST-Kashmir for granting approval for overseas training under IDP NAHEP, which significantly contributed to this work.
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Bystrowski, C., Machlowska, J., Ganie, S.A. et al. Adaptive allometry of wing outline in Tachinidae flies. Sci Rep (2026). https://doi.org/10.1038/s41598-026-67946-4
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DOI: https://doi.org/10.1038/s41598-026-67946-4

* The study quantified wing outline shape and aerodynamic parameters in 139 species of Tachinidae.
* The nondimensional radius of the second moment of area increased with thorax width and wing length at a rate lower than expected under isometric scaling.
* No evidence showed that wing area scaled hypoallometrically with thorax width or wing length.
* Wing shape, described using semilandmarks, was significantly related to wing length.
* Smaller wings were widest near the center and had more rounded tips.
* Larger wings were widest proximally and tapered asymmetrically toward the tip.

Wing allometry in 139 species of Tachinidae flies was quantified by measuring wing outline shape and aerodynamic parameters. Predictions suggested that larger insects might have smaller relative wing areas, which the study tested against observations. The nondimensional radius of the second moment of area increased with thorax width and wing length at a rate slower than predicted by isometric scaling. No evidence was found that wing area scaled hypoallometrically with thorax width or wing length. Wing shape, quantified using semilandmarks, showed a relationship with wing length; smaller wings exhibited broader central regions and more rounded tips, while larger wings were wider proximally and tapered toward the tip. These findings suggest that wing outline allometry in Tachinidae may reflect adaptations related to flight aerodynamics.

The research engages with theoretical predictions regarding allometry in insects, testing whether observed wing shapes align with aerodynamic adaptations. The finding that the second moment of area scaled slower than predicted by isometric scaling suggests a non-isometric relationship between size metrics and area, which points toward specialized morphological constraints related to flight mechanics. Furthermore, the description of wing shape—where smaller wings are more rounded and larger wings exhibit asymmetric tapering—suggests that allometric changes are not purely volumetric but reflect specific geometric adaptations for aerodynamic efficiency. This pattern prompts consideration of how differential scaling might be mechanistically linked to minimizing drag or optimizing lift generation in these flies. The implication is that morphological variation observed across the Tachinidae family may serve as an evolutionary response shaping their flight capabilities, demanding further investigation into the direct link between wing geometry and aerodynamic performance across a wider range of insect taxa.

Adaptive allometry of wing outline in Tachinidae flies

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Adaptive allometry of wing outline in Tachinidae flies

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Sentinel — Human