The bee Improvement And Bee Breeders Association (BIBBA) has
advocated selecting  queens and drone breeder colonies according to
strict criteria for quite a few years. They offer a standard record
card which additionally includes stinginess, i.e. bees propensity to
attack people nearby, and running over the comb, amount of honey
gathered each year, swarminess, supersedure tendency, and presence of
acarine, chalkbrood, nosema, and both foulbroods. You can add any
characteristic you want to select for, so Varroa benefits from
hygienic bees, which can be selected for although it is a multigenic
factor.< [log in to unmask]> can tell you more about BIBBA
and where to obtain the record cards if you are interested.