You searched for: “prolification
prolification (s) (noun), prolifications (pl)
1. The production of young or offspring: Jane's cat was very good at prolification because she had kittens about 3 or 4 times as year!.
2. Reproduction by the growth of a plant, or part of a plant, directly from an older one: Prolification is a common phenomenon in strawberry plants, pineapple plants, and roses.