Datasets for the study: The effect of phenotypic heterogeneity on behaviours linked to invasive success. BroodData: data on the size of brood, time to produce brood, temperature, and sexual behaviours of males. OffspringData: data on the performance/viability of offspring produced in the study. CombinedData_Females: data on the size of females used in the study. CombinedData_Males: Data on the size and phenotypic traits of males used in the study.