Abstract
By combining the extended slack based measurement (SBM) model directed distance function and the meta-constrained production function to measure China's carbon productivity, this paper studies the spatial spillover effects and convergence characteristics of carbon productivity. According to the results, carbon productivity showed obvious viscosity and spatial dependence in adjacent regions. China's carbon productivity had spatial conditional β-convergence and club convergence effects. Specifically, agglomeration externalities constituted an important mechanism for increasing carbon productivity and realizing the convergence thereof. Different agglomeration forms under different agglomeration degrees corresponded to different carbon productivity levels; with an increase in the degree of agglomeration, the emission reduction effect of specialized agglomeration diminished, while that of diversified agglomeration increased. Furthermore, depending on suitable agglomeration degrees, the emission reduction effect of specialized agglomeration could coexist with that of diversified agglomeration. In terms of regional distribution, in East China, both specialized agglomeration and diversified agglomeration presented relatively significant emission reduction effects. In contrast, in Central China and West China, only specialized agglomeration showed a weak emission reduction effect.
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