Watch “Turns out this is not a new idea: the game board shrinks as you play! It's "Tuknanavuhpi.",” a how-to-play guide for Tuknanavuhpi on BoardGameVideo.
Description provided by NewVenture Games on YouTube:
It's not Forbidden Island (Gamewright, 2010) - the island is not sinking.
But, as rows and columns are emptied, they become off limits to the players!
Tuknanavuhpi come from the Hopi indians in southwestern North America. Not much is known about its history - any mention I could find in reference works or Wiki sites is very brief. (It's all in the video.)
Regardless of the fogginess of the game's past, it remains a fun variation on the familiar jump-and-capture elimination game. Something to spring on your checkers-playing friends!
(NOTE: I've since heard the pronunciation as "TUKE-nana-VUH-pi" - My aplogies to the Hopi.)
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The BGG reference is here: https://boardgamegeek.com/boardgame/432798/tuknanavuhpi