This Decred coin does have Proof-of-Work and Proof-of-Stake, and so Proof-of-Work is getting rewarded for what you invest in the system- this work does require computational power in solving cryptographic puzzles. For every solution a new block is created, and the more work you do, the more reward for you.
Proof-of-Stake is getting rewarded for what you stake. You need to keep your coins untouched for some time to prove you are a stakeholder, and the more coins you stake, the more reward.