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Are you thinking of a certain study? Meta analysis is mixed on your proposals. There have been some countries where more leave and financial assistance increases births, but causality is unknown. And those births were in some countries among older parents more financially established, not the young couples who would benefit the most. In other countries there’s been no found correlation. The infamous Spanish study found more paternity leave to decrease fertility. :)

State-provided benefits not driving fertility makes some intuitive sense. The countries with high birth rates are not the wealthy and comfortable ones.