We use a semiparametric estimator to analyze the relationship between land
values and parcel size in a sample of 158 undeveloped parcels in the Portla
nd, Oregon, metropolitan area. The semiparametric estimator combines the be
nefits of parametric and nonparametric estimation. The value-size relations
hip is estimated nonparametrically, which permits the function to be linear
, convex, and concave in different regions. A simple log-linear parametric
relationship is assumed for the rest of the model, which conserves degrees
of freedom and simplifies hypothesis testing. Our semiparametric estimates
do not reject log-linearity for the value-size relationship.