Local Duality Predictions for $\mathit{x}\sim 1$ Structure Functions

Recent data on the proton $F_2$ structure function in the resonance region suggest that local quark-hadron duality works remarkably well for each of the low-lying resonances, including the elastic, to rather low values of $Q^2$. We derive model-independent relations between structure functions at $x\sim 1$ and elastic electromagnetic form factors, and predict the $x\to 1$ behavior of nucleon polarization asymmetries and the neutron to proton structure function ratios from available data on nucleon electric and magnetic form factors.