When a landowner, in a district in which the board has canceled any assessment balance or portion thereof, has paid all or a part of his share of the canceled assessment balance or portion thereof, the board shall issue a warrant of the district in favor of the landowner in an amount equal to the paid portion of his assessment balance which was canceled, with such interest thereon as the board shall, by resolution, determine to be appropriate to recompense landowners who have paid their assessments for any benefit obtained by other landowners as a result of the cancellation of the interest otherwise payable on their assessment.