  In this paper, we study meromorphic functions on a domain $\Omega \subset
\mathbb{C}$ whose image has finite spherical area, counted with multiplicity.
The paper is composed of two parts. In the first part, we show that the limit
of a sequence of meromorphic functions is naturally defined on $\Omega$ union a
tree of spheres. In the second part, we show that a set $E \subset \Omega$ is
removable if and only if it is negligible for extremal distance.
