# Geospatial Assessment of the Territorial Road Network by Fractal Method
## 1 Introduction
The fractal geometry theoretical foundations development has contributed to the widespread use of fractals to describe various spatial phenomena in urban geography, urban morphology, landscape structure, and transport networks [13; 14]. In [15], it was shown that the fractal geometry brings very effective apparatus to measure an object's dimension and shape metrics in order to supply, or even substitute, other measurable characteristics of the object. Based on the fractal geographical interpretation, scientists are exploring the relationship between various aspects of urban space and the fractal dimension of cities and its changes over time [16; 17]. In [18], it was shown how information on the fractal dimensions of the urban bounder and urban area can be used as a parameter for decision-making in the spatial development field, such as in the case of new residential area planning. The calculation of the fractal geometry of urban land use, performed in [19], made it possible to study the dynamics of urbanization and city expansion over recent years. Some aspects of the interpretation of the results of fractal analysis, as well as the analysis of scientific publications on the use of fractal models for urban analysis and planning, are presented in [20]. The calculation of fractal characteristics and research of the fractal pattern in the spatial structure of urban road networks provide extremely useful information for urban planning [21; 22]. In particular, [23] used a modified box-counting method to describe the fractal properties of urban transportation networks and investigated the relationship between the mass size of cities and the complexity of their road systems. In [24], a box-counting method was applied to obtain a simple statistical model for determining the efficiency of filling the space of the transport system and identifying the variation in the level of fractality within the city itself and between parts of the city. In this study, we propose a model for the geospatial assessment of the transport development of any land area based on the fractals theory. By transport development, we mean the provision of a territory with transport routes. This model will solve the problem that arises with the reliability of previous indicators that assess the level of transport development, based on the ratio of the transport network length and the territory area. Such areal indicators may give unreliable results when comparing the transport development of different countries such as, For example, the territory of Bolivia, which has an uneven population density associated with the presence of the Andean mountains, and the Amazonian jungle, which contributes to the lack of transport networks in that part of the country. Such features should be taken into account, and when calculating transport development, only the area of inhabited areas should be taken into account. The use of the territory transport development indicator on the basis of the roads fractal dimension will allow for excluding the use of the territory area value and take into account transport network structure peculiarities by itself, while also getting a geospatial estimate of the road network complexity. Thus, the purpose of this study is to create a model for the quantitative geospatial assessment of the territorial road network, based on the fractal dimension of roads and its implementation in the form of GIS-oriented software (scripted geoprocessing tool) for ArcMap 10.7.