Let $\tilde{S}$ be a Riemann surface of type $(p,n)$ with
$3p-3+n>0$. Let $F$ be a pseudo-Anosov map of $\tilde{S}$
defined by two filling simple closed geodesics on $\tilde{S}$.
Let $a\in \tilde{S}$, and $S=\tilde{S} - \{a\}$. For any map
$f\colon S\to S$ that is generated by two simple closed geodesics
and is isotopic to $F$ on $\tilde{S}$, there corresponds to
a configuration $\tau$ of invariant half planes in the universal
covering space of $\tilde{S}$. We give a necessary and sufficient
condition (with respect to the configuration) for those $f$
to be pseudo-Anosov maps. As a consequence, we obtain infinitely
many pseudo-Anosov maps $f$ on $S$ that are isotopic to $F$
on $\tilde{S}$ as $a$ is filled in.