Species distribution modeling is a widely used tool in many branches of ecology and evolution. Evaluations of the transferability of species distribution models—their ability to predict the distribution of species in independent data domains—are, however, rare. In this study, we contrast the transferability of a process‐based (TTR-SDM) and a correlative (MaxEnt) species distribution model. Our case study uses 664 Australian eucalypt and acacia species. We estimate models for these species using data from their native Australia and then assess whether these models can predict the adventive range of these species. We use this case study to motivate why species distribution modellers should move away from correlative towards more process based species distribution modellers and discuss other developments underway in Bayreuth with the TTR model.