Urban growth is a complex spatio-temporal phenomenon that includes built-up activities taking place both horizontally and vertically. The built-up land density in a city is a function of land desirability and suitability of a location in terms of the quality of the available public services, access to infrastructure, neighborhood type, vibrancy of socio-economic and cultural characteristics. The simulation of built-up land density may help planning and development authorities in making better land developmental decisions, making appropriate provisions for services, long term land use planning, and allocation of natural resources. In the recent past, various efforts have been made to assess built-up density in terms of the densification of built-up activities at the city scale in terms of floor space indices, building density, residential density (number of housing units per hectare) and urban volume. However, only limited research was reported on the simulation and prediction of spatially distributed built-up land density. In the present study, an algorithm is developed to simulate the spatial distribution of built-up land density as a function of a set of selected urbanization explanatory variables. Its application has been demonstrated using a newly developed version of the SLEUTH model (SLEUTH-Density) to simulating the built-up land density for Ajmer city in India. Development of SLEUTH-Density included designing a density algorithm, writing the programming code, integrating the code with the existing SLEUTH model, and testing the algorithm. The model results were validated indirectly using few built-up land density indices and directly through field verification, which were found to be in good agreement with the simulated built-up land density from SLEUTH-Density

城市增长是一个复杂的时空现象，包括水平和垂直方向上的建筑活动。就可用公共服务的质量，基础设施的可及性，社区类型，社会经济和文化特征的活力而言，城市中建成的土地密度取决于土地的适宜性和位置的适宜性。堆积土地密度的模拟可以帮助规划和开发部门做出更好的土地开发决策，为服务，长期土地使用规划和自然资源分配做出适当规定。近期，人们已经做出各种努力来评估建筑密度，例如，在建筑规模上，建筑活动的密度，例如建筑面积指数，建筑密度，居住密度（每公顷房屋数量）和城市体积。但是，关于空间分布建成土地密度的模拟和预测的报道很少。在本研究中，开发了一种算法来模拟建成土地密度的空间分布，作为一组选定的城市化解释变量的函数。使用新开发的SLEUTH模型版本（SLEUTH-Density）演示了其应用，以模拟印度阿杰梅尔市的建成土地密度。SLEUTH-Density的开发包括设计密度算法，编写编程代码，将代码与现有的SLEUTH模型集成以及测试算法。该模型的结果通过很少的已建土地密度指数间接验证，并直接通过现场验证，