Equilibrium or not? Modelling potential distribution of invasive species in different stages of invasion

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Evaluating the combined threat of climate change and biological invasions on endangered species. (2013, background): “This is especially true at early the stages of invasion, since the species might not be able to persist (Václavík and Meentemeyer, 2012).”
Benthos distribution modelling and its relevance for marine ecosystem management (2015, background): “inherent violation of the basic assumption of DMs that the species is in equilibrium with its 651 environment (Václavík and Meentemeyer, 2012).”
Potential distribution range of invasive plant species in Spain (2012, background): “The accuracy of potential distribution models for species at early invasion stages and with short minimum residence times is usually lower than for species from late invasion stages (Václavík and Meentemeyer 2012).”
Two alternative evaluation metrics to replace the true skill statistic in the assessment of species distribution models (2019, background): “2008); population sinks (Guisan and Thuiller 2005); and species equilibrium (Václavík and Meentemeyer 2012).”