This study analyses the trade-offs between welfare (measured by income) and greenhouse gas (GHG) emissions using a farm-level optimisation model that incorporates the predominant cereal (sorghum), legumes (groundnut, soybeans), livestock (cattle, goats and sheep) and trees (locust bean, camel’s foot) representative of production systems at two contrasting sites in northern Nigeria. The optimisation model maximises the value of total farm production, subject to constraints on GHG reductions of 10%, 25% and the maximum reductions that allow households to meet minimum consumption requirements.