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The Andalusian olive grove in South Spain is employed as a case study to assess the environmental and economic effects of the green architecture (eco-schemes) of the Common Agricultural Policy in relation to low carbon agriculture under different soil management policy scenarios to support more efficient agri-environmental policy making. To do so, we adopted a multidisciplinary approach in which we used: (i) an integrated modelling framework comprising geographic information systems (GIS); (ii) the RothC model; and (iii) a cost-benefit analysis. Results show that eco-schemes provide a significant increase of soil organic carbon (SOC) relative to cross-compliance. Practices involving vegetation covers are more efficient than using pruning residues as mulching. SOC accumulation increases rapidly in the first five-ten years to slow down afterwards. The cost-benefit ratios of eco-schemes policy implementation are higher than one when only SOC is considered. Nonetheless, the inclusion of additional co-benefits has the potential to invert this scenario and enhance policy efficacy. Various insights on optimizing the design and application of eco-scheme efficiency are provided. • The new eco-schemes CAP instrument proposed for woody crops contribute to increase SOC • Mowing cover crops leads to the highest SOC stocks, whereas pruning debris maintains SOC stocks. • Tillage and no-tillage with bare soil systems lead to a significant depletion of SOC stocks. • The economic benefits of eco-schemes would not off-set the costs borne by public authority • Environmental externalities are key to reach the profitability of the policy instruments. [ABSTRACT FROM AUTHOR]