Modelling of Assessment of the Green Space in the Urban Composition

The aim of this paper is to present a model that permits to assessment the quantitative green space and its costs in the urban. This approach is founded on the modelling of the functions and the corresponding spaces into an orthogonal parcel having a planar form. The elaboration of such as tool is a response to the sustainable urban development that recommends the optimization of land use. The summation of all spaces that compose the parcel defines the surface called plot surface. The green space into the parcel is a correlation of shape and disposition of the plots, and of the number of plots in the Master Plan. The urban composition is characterized by a mathematical system composed by two equations represented respectively by the urban density and the site coverage ratio. This system is indeterminate because there is one unknown: the building footprint; and one correlation: the plot surface. To solving this problem, it is demanded to use loop procedure, and finite difference method that consists to introduce a random value of urban density, then to compare the obtained density with the introduced value. At last, the study finishes by the presentation of graphs illustrating the ratio and the costs of green areas in function with the urban density, and by the showing of the software. (C) 2015 The Authors. Published by Elsevier Ltd.