The best replacement for per stirpes is per capita.

The best alternatives to per stirpes are rated as following:
★★★★★  per capita
★★★  by representation
★★  right of representation
★★  pro rata
★  representation
★  per capita with representation
  per representation
  per

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Speaking about per stirpes, one probably shouldn't forget about representation.

Other search terms related to per stirpes and their ratings are:
★★★★★ representation
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per stirpes
per capita
by representation