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T~S JANUARY 1995 <br /> AMERICAN <br /> PLANNING <br /> ASSOCIATION <br /> <br />Statistical A nalysis <br />of Residential Lots <br /> <br /> By Cyrus K. Motlagh <br /> <br /> Sometimes, in correctingla problem, munii:ipal governments <br /> create new headaches along with opportunities. Take the <br /> village of Franklin, Mich{gan, which introduced pressure <br /> sewers, inducing some re&idents to split their oversized lots <br /> and sell the new pieces. ~his option had not been available <br /> without the sewers. <br /> But lots in this community are very valuable, and sometimes <br /> a resident finds that his howe is so situated that a clean and <br /> simple split is not possibleJ Snlitting these lots had not been the <br /> ong,nal ~ntenuon. As a result, some residents try to meet the <br /> black letter of the zoning dsdinance, relative to minimum lot <br /> size, by carving minimally iufficient square footage around <br /> existing structures withoutlregard[, tO the shape of the new lots <br /> 'being created. Neither the [~oning ordinance nor the lot split' <br /> ordinance have shape requirements, so officials are often faced <br /> with laws thai permit a split, even when common sense tells <br /> them such a split is unwise4 <br />- -' Municipalities realize ~ey rieed regulations that would <br /> prevent the creation of biz~rely shaped lots but find it difficult <br /> to define the vexing notion[ of the complexity of the shape of a <br /> lof. This issue of Zoning ~V~os presents an attempt at a workable <br /> definition that could form ~e basis for legislation. It features a <br /> brief verbal description of {he statistical approach and factors in <br /> its favor, followed by a <br /> description of the Franklin~ <br /> Village and its situation. Itf <br /> also presents two propo'salsI <br /> for splits. <br /> <br />Simplicity of the <br />Statistical Approa4~h <br /> <br />The statistical approach <br />presented here is deceptively <br />simple. The complexity <br />(number of sides) of the log <br />resulting from a proposed s~ht <br />is compared with the <br />distribution of number of <br />sides among the lots in the <br />rest of the community. If ~e <br />complexity of one or both <br />falls in the outer fringes or,his <br />distribution, the proposed~ <br />split is rejected or subjecte4 <br />heightened scrutiny, where <br />the applicant must produc8 <br />reasons beyond commerci4 <br />advantage for the strange <br />shape of the proposed lots. <br /> <br /> Franklin Village and the sites <br /> of two proposed lot splits. <br /> <br />Three questions immediately arise: <br />· What is the deflr~ition of"the fringe" of the distribution? <br /> <br />· Is regulation of lot complexity a reasonable exercise of <br /> governmental power? <br /> <br />· Why use the number of sides <br /> complexity? <br /> <br />Mean (acres) ~. ~ 0.41 ~1~. 0.68 <br />StandardDev~'~0'27 ~ 0'26 ~ 0'83 <br />Coefficient ~ [~Jl <br /> 0.38 ~ 0.42 <br />of Variation 0.66 <br />Minimum 0Al <br />p.roe count <br /> <br />8nb 8rd. ~/A <br />% Sub Std. ~ ~ N/A <br />Theoretical <br />LotssubJec, ~ <br />to split as % <br />of total lots N/A 4.1 0.0 <br /> <br />TABLE 1: Size dislribution of lots, measured in acres, within <br />varioub zoning classifications. Total includes two lots zoned <br />restricted office and three R4 (very rare) lots. <br /> <br />of a lot as the measure of its <br /> <br />Where is the <br />Outer Fringe? <br />For statistical purposes, <br />percentages in single digits <br />generally have been accepted as <br /> rare, meaning that any <br />characteristic not shared by at <br />least 10 percent of the <br />population may fairly be <br />labeled as .rare or not in <br />harmony with the character of <br />the population. The choice of a <br />particular percentage rests <br />ultimately with community <br />planners and the degree of <br />uniformity that the community <br />desires. The higher the <br />percentage chosen, the more <br />uniform the community will <br />become in the long run. <br /> In larger communities, <br />where a complete census of <br />the lots is impossible, a <br />random sample can be used <br />for these purposes, but the <br />sample must be very large. <br /> <br />'79 <br /> <br /> <br />