  The group scheme of ternary automorphisms of a perfect finite dimensional
evolution algebra A is computed. The main advantage of using group schemes is
that it allows to apply the Lie functor to determine the Lie algebra of ternary
derivations of A. Using the generalised inverse of a matrix, we provide a
precise classification of all ternary derivations of an arbitrary
finite-dimensional evolution algebra A. The ternary derivations of all
2-dimensional evolution algebras are also computed.
