The best replacement for richness is reach.

The best alternatives to richness are rated as following:
★★★★★  reach
★★★★★  diversity
★★★★  abundance
★★★  species diversity
★★  relative abundance
★  evenness
★  diversity index
★  species evenness
★  species composition
★  biodiversity
★  species abundance
★  morphological diversity
  regional species richness
  genetic diversity

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richness
reach
diversity