pogonotrophy
/ˌpəʊɡəˈnɒtrəfi/noun
The cultivation or growing of a beard.
Origin
Mid 19th century; earliest use found in The Westminster Review. From Hellenistic Greek πωγωνοτροϕία (Plutarch) from ancient Greek πωγωνο-, combining form of πώγων beard + -τροϕία.