Highways and Highway Transportation

by George R. Chatburn

Zone	Mid- ordinate	Per- centage	Weight	Adjusted Weight		Sum
1	31.62	33.3	33.3	33	1⁄3	33	1⁄3
2	54.77	57.7	24.4	25		58	1⁄3
3	70.71	74.6	18.9	16	2⁄3	75
4	83.67	88.5	13.9	15		90
5	94.87	100.0	11.5	10		100

To get weights for six zones take the mid-ordinates at 8¹⁄₃, 25, 41²⁄₃, 58¹⁄₃, 75, and 91²⁄₃, as follows:

Zone	Mid- ordinate	Per- centage	Weight	Adjusted Weight		Sum		Another Adjusted Weight		Sum
1	28.86	31	31	30		30		33	1⁄3	33	1⁄2
2	50.00	52	21	20		50		20		53	1⁄3
3	64.45	67	15	15		65		16	2⁄3	70
4	76.70	80	13	12	1⁄2	77	1⁄2	10		80
5	87.02	91	11	12	1⁄2	90		10		90
6	95.73	100	9	10		100		10		100

To Calculate the Frontage.

—As has already been stated, in some states in order to initiate a road improvement to be paid for by special assessment a petition for the same signed by the owners of a majority of the frontage is necessary. To determine the frontage for this petition general rules are laid down by proper authority or laws enacted, stating the necessary procedure and the weights allowed for calculating frontage based upon distance from the roadway to be improved. In one state the land up to a distance of 2 miles back on each side of the roadway may be formed into an improvement district which constitutes the fronting territory or frontage. The frontage on each side of the roadway is divided into four zones equal in width. The first zone, the one nearest the road, has a weight of 50, or it may be said to contain 50 per cent. of the total frontage; the second zone has a weight of 25, or contains 25 per cent. of the frontage; the third, 15 per cent.; and the fourth, 10 per cent. Along a mile of the road there are, of course, two miles or 10,560 front-feet frontage. This 10,560 front-feet is not considered to be uniformly distributed over the entire 4 square miles (assuming the district 2 miles each side the road) of assessed territory abutting the mile of roadway. Nor to be decreased according to the mathematical laws stated above. But the distribution is by arbitrary rule laid down by legislative authority. In this particular case, assuming a straight roadway and equal zones, the first one will contain 50 per cent. of 10,560 = 5280 front feet. Since the actual area of the zone is 1 square mile = 640 acres, there are 5280 ÷ 640 = 8¹⁄₄ front-feet per acre in this zone. The table will show similar results for each of the four zones:

Zone	Weight	Front feet per mile	Front-feet for varying acreages
			1 acre	10 acres	20 acres	40 acres	80 acres	160 acres
1	50	5280	8.250	82.50	165.0	330	660	1320
2	25	2640	4.125	41.25	82.5	165	330	660
3	15	1584	2.475	24.75	49.5	99	198	396
4	10	1056	1.650	16.50	33.0	66	132	264

As an illustration, suppose two taxpayers have farms of exactly the same size, 800 acres each, but placed differently in regard to the road, see figure below. Their influences or petitioning power may be calculated in front-feet from the preceding table thus:

Assessment Influence

Two farms of the same shape but situated differently with regard to the improved highway have different “petitioning influences” and are assessed differently for improvements. Farm A is in contact with the road for 5280 ft., and has an influence or assessment value of 4158 front-feet. Farm B is in contact 1320 ft. and has an assessment value of 2442 front-feet.