Evaluation of roofing materials emissions at the city scale: Statistical approach for computing roofing area distribution
Résumé
Roofing materials are considered as a major source of urban runoff contamination. Today, in the context of the European Water Directive (2000/60 CE), an accurate evaluation of contaminant flows from roofs is thus required at the city scale, and therefore the development of assessment tools is needed. However, at the city scale, the important diversity of roofing materials represents a difficult task. In fact, the most restrictive step when estimating contaminant flows for large-scale territories is the estimation of the roofing materials surfaces area, for which no direct data exists. This paper aims to describe the proposal statistical approach for computing roofing materials area distribution. This method is based on two steps. The first one is the sampling theory which aims to define the required size of the selected sample which represents the proportion R (%) from any total urban area surface. The second step is based on applying the estimation theory. In fact, after determining the proportion R (%), we estimate the unknown distribution of roofing materials in an urban area by performing a sample representing R (%) from the total urban area surface. The reliability of the methodology has been proved for tow different urban areas with known roofing materials distribution. Results obtained showed that a sample representing R=4% of the zone area should be randomly generated.
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