I haven’t followed all of the discussion on varroa and treatment free hives but has anyone mentioned this paper yet?

 “Host adaptations reduce the reproductive success of Varroa
destructor in two distinct European honey bee populations”
 Barbara Locke, Yves Le Conte, Didier Crauser & Ingemar Fries 

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3402190/pdf/ece30002-1144.pdf

Bil, France

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