The Collaborative International Dictionary of English v.0.48:

Pedotrophy \Pe*dot"ro*phy\ (p[-e]*d[o^]t"r[-o]*f[y^]), n. [Gr.
   paidotrofi`a, fr. pai^s, paido`s, a child + tre`fein to
   nourish: cf. F. p['e]dotrophie.]
   The art of nourishing children properly.
   [1913 Webster]