JUNEAU, Alaska (AP) — Alaska Gov. Mike Dunleavy on Wednesday proposed paying qualified residents $3,678 over three years to make up for years that oil-wealth fund checks were capped.

The money would be paid on top of whatever the annual dividend otherwise would be for this year, 2020 and 2021. Under Dunleavy’s proposal, the money would come from Alaska Permanent Fund earnings.

Most Alaskans receive an annual check with payouts that reached as high as $2,072 in 2015. The following year, amid gridlock over how to address a state budget deficit, then-Gov. Bill Walker cut the amount available for...