  In this article, we construct an infinite sequence of irreducible components
of Koll\'{a}r--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily
large volumes, and describe the boundary of each component completely.
Moreover, we describe the stable reduction steps in finding the KSB-limits in
an explicit combinatorial way. Our main approach is to study the moduli spaces
of elliptic surfaces with Kodaira dimension one, fibered over rational curves,
using the techniques of wall-crossing for KSBA moduli and twisted stable maps.
