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A pregnant person stands close to a baby's crib.

BEIJING — The Singapore government has deployed financial incentives and even Mentos mints to increase births. In Russia, more money in mothers’ pension accounts and “Conception Day,” with time off from work, have helped. Be it Germany or Japan, state-paid bonuses aim to amplify the patter of little feet in homes amid sagging fertility rates.

Not in China. The government’s powerful family-planning apparatus still fines married couples who have more than two children and women who give birth out of wedlock, despite a looming demographic crisis in the country.

Findings from a 2015 government census show that the average Chinese woman has 1.05 children — a legacy of the one-child policy that changed on Jan. 1 to a two-child policy. It is the lowest fertility rate in the world, according to People’s Daily, the main newspaper of the Chinese Communist Party.

The fines, known as social maintenance fees, can run up to tens of thousands of dollars and close an avenue to increase birthrates, critics say.

“Especially with these falling birthrates, the right thing to do...