Relatedly, a paper was posted to bioRxiv a few days ago describing the results of large scale fruit fly release-and-recapture experiments. They conclude the abstract with "Our field data do not support a Lévy flight model of dispersal, despite the fact that our experimental conditions almost perfectly match the core assumptions of that theory."

https://www.biorxiv.org/content/10.1101/2020.06.10.145169v1

Also, Viswanathan's 1996 Nature paper was stupendously wrong due to the key measurements being in error, but instead of retracting it, he and colleagues published a followup - in Nature 2007 - in which they say the albatross flight times are gamma distributed.