Asexual reproduction in liverworts: a caducous phylloid germinating. Asexual reproduction is a mode of reproduction by which offspring arise from a single organism, and inherit the genes of that parent only; it does not involve the fusion of gametes and almost never changes the number of chromosomes.ragmentation is a form of asexual reproduction where a new organism grows from a fragment of the parent. Each fragment develops into a mature, fully grown individual. Fragmentation is seen in many organisms such as animals (some annelid worms [Which ones?] , turbellarians and sea stars), fungi, and plants.