We analyze relationships between housing supply elasticities, land costs and house price dynamics, contributing three main insights. First, higher housing supply elasticities help contain short-run price spikes following demand shocks. Second, land price dynamics influence this relationship; supply responses are lessened and house price spikes are exacerbated as land prices increase. Third, we estimate a system of regional equations modeling housing supply using a Tobin's-q specification (incorporating construction and land costs) and show that regional price dynamics are a function of the region's supply elasticity.