Taxonomy purely based on description of morphological characters is 

Alpha taxonomy is based on morphological characters

Beta (β) classification refers to the placement of species in a natural system of hierarchical categories  Classification based on information from other branches i.e., from   Embryology, cytology, palynology, phytochemistry and serology along with morphological characters is called omega taxonomy

Modern taxonomy is also known as biosystematics, which is a branch of systematics that uses evolutionary, genetic, and morphological traits to determine taxonomic affinity.