To accurately predict China’s carbon dioxide emissions, this paper constructs an innovative prediction algorithm based on the marine predators algorithm and a new discrete nonlinear grey Bernoulli model with fractional-order accumulation operation. In this prediction algorithm, the new model is used to complete the modeling task of nonlinear time series, and the marine predators algorithm is used to facilitate the solution process of model. It is found that the proposed model satisfies both unbiasedness and uniformity, underscoring its superio...