We assess the responsiveness of market equilibrium agricultural output, price and land use to shocks in agricultural demand, land yield and arable land area and the role of road infrastructure policy in offsetting them. We adapt a partial equilibrium model in the agricultural composite good and lands markets to guide the specification and estimation of a simultaneous equation model (SEM) for agricultural demand, land yield and acreage, and calculate market equilibrium responsiveness. We estimate the SEM by the generalised method of moments three-stage least squares (GMM 3SLS) using a panel data set of the 10 biggest agricultural producer states in Brazil from 2001 to 2017. Using demand, land yield and acreage price elasticity estimates, we find that Brazil may expand equilibrium agricultural output while preserving its native vegetation land and dampening long-term agricultural price escalation under a scenario of increasing worldwide demand for food, fibre and fuel and adverse climate shocks. Using acreage and land yield freight rate elasticity estimates, we show how shocks may be offset by road infrastructure policies that reduce freight rates to specific destination states, as they may be designed to induce less equilibrium land use for the same equilibrium output or raise equilibrium output with less equilibrium land use.