A Caporaso-Harris type formula for Welschinger invariants of real toric   Del Pezzo surfaces
  We define a series of relative tropical Welschinger-type invariants of real toric surfaces. In the Del Pezzo case, these invariants can be seen as real tropical analogs of relative Gromov-Witten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces. 
Ilia Itenberg, Viatcheslav Kharlamov, and Eugenii Shustin