Totally different use cases. nom/pest/combine are parser combinators, where you stitch the functions together yourself. LALRPOP is more in the vein of yacc where you specify the grammar and it generates the Rust parsing code for you in a build step.
If you'll permit the immodesty, another Rust parser is lrpar (https://crates.io/crates/lrpar) which is a more direct drop-in replacement for Yacc, but with better error recovery. [Note: I'm biased because I wrote parts of lrpar and the wider framework, grmtools, it's a part of.]