Male–male competition is strongly affected by female presence. In insects with primitive features such as megalopterans, however, it is not known how aggressiveness is expressed in the context of female presence. Here we examined the effect of social environments on the use of secondary sexual traits in the sexual behavior of the Mexican dobsonfly Corydalus bidenticulatus (Megaloptera: Corydalidae). Males of this species have exaggerated traits such as disproportionally elongated mandibles with no dentition, which is a secondary sexual trait used in competition over female access as well as males of other Corydalus species. We investigated how male–male interactions are carried out, and the scaling relationships of sexual and non‐sexual traits. Our results show that males of C. bidenticulatus are not indiscriminately aggressive. The decision whether to fight or not is affected by their social environments: males are aggressive against other males only when the presence of a female is detected. Results also suggest that mandibles and antennae are sexually dimorphic, being exaggerated and showing positive allometry only in males. In contrast, male genitalia, a sex‐specific trait, show negative allometry.
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