The constricted volume would show up in pulmonary function tests as a "restrictive" defect, as was seen in this patient (the comparably decreased Vital Capacity and FEV1). The residual ventilation to this non-perfused area would appear as excess dead space and, of course, the major effect of such a lesion would be to reduce markedly the effective surface area of the lung.
Be aware that pulmonary artery blockage does not necessarily lead to pulmonary infarction. The lung has a second blood supply (the bronchial arteries) which is derived from a separate source. Though smaller in volume than the pulmonary arterial tree, the bronchial arteries can supply the lungs metabolic needs.