The board of directors or commissioners of levee districts embracing parts of more than one (1) county, at an annual meeting or at a special meeting called for the purpose, shall appoint a landowner in each county or part of a county in the levee district who shall assess the annual benefit accruing by reason of levee protection to the lands, town lots, suburban lots, rural lots, industrial plants, railroads, tramroads, telegraph and telephone lines, electric high power lines in his county or part of a county in books to be furnished by the levee district for that purpose.