The quality or state of being likely to breed prolifically or extensively; a tendency toward breeding or reproduction.
From 'breedy' (prone to breeding) plus '-ness' (quality/state). 'Breedy' itself is an informal adjective built from 'breed' with the suffix '-y.'
While 'breediness' isn't a common word, it captures something real in animal behavior—some species and individuals are just naturally more 'breefy' or eager to reproduce than others, which affects ecology and evolution.
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