"vigorous reconstruction" is correct and usable in written English.
You can use it when referring to the rebuilding of something on a larger scale and with increased enthusiasm and effort. For example: "The mayor promised a vigorous reconstruction of the city's infrastructure following the widespread destruction caused by the hurricane."
Vigorous postwar reconstruction promptly followed the end of the war and the Belorussian SSR became a major center of manufacturing in western USSR, creating jobs and attracting ethnic Russians.
Our integrated approach allows vigorous core genome estimation and phylogenomic reconstruction, which in turn is nearly impossible for low-quality, short-read draft genome assemblies with hundreds of contigs.
Director Gary Ross's Free State of Jones, however, which depicts the origins and aftermath of Newton Knight's bigender and biracial anti-Confederate insurgency in Jones County, Mississippi, might be the first to properly and historically situate Reconstruction in full relation to the war itself, serving as a vigorous repudiation of Lost Cause mythology.
At Kenilworth the speculative and commercial reconstruction of the castle gardens in an Elizabethan style led to a vigorous academic debate over the interpretation of archaeological and historical evidence.
But it offers a vigorous, necessary reminder of how racist reaction bred an American terrorism that suppressed black political activity and crushed Reconstruction in the South.
| Update below | There's been vigorous discussion here and elsewhere (e.g., Climate Audit and Skeptical Science) of the methods and findings in "A Reconstruction of Regional and Global Temperature for the Past 11,300 Years," a recent Science paper by Shaun A. Marcott, Jeremy D. Shakun, Peter U. Clark and Alan C. Mix.
Vigorous debate has ensued.
Vigorous attempted procreation.
Redistribution is vigorous.
