The issue of the study of the problem of determining the geoid and quasi-geoid models is considered. Development of methods for constructing an exact geoid model using different dimensions. Analysis of the calculation of normal heights using satellite measurements, construction of geoid and quasi-geoid models by different methods is performed. Based on the results of the analytical review of existing methods for determining the geoid, it was proposed to use various data (geodetic heights, mixed gravity anomalies, anomalous potential) to construct this model, which allows building a model of a geoid with millimetre accuracy. The possibility of using the collocation method is considered. The task is to develop a methodology for constructing a geoid model using a network of low density gravity points and using pure and mixed gravity anomalies, which allows us to solve the problem of finding potential by solving the Laplace equation or using wavelets.

The research studies the issue of ecological stability of rural territories that is the most important component of the national environmental policy of Ukraine. A special attention is paid to degradation of arable lands as the main ecological problem of land management. On the example of Lviv region, the authors calculated the index of ecological nonconformity of current use of arable lands, proving a considerable excess of permissible ploughing of lands in the region. The carried analysis confirms that no measures were performed concerning land protection, including conservation that in the recent years. In this context it is necessary to improve land resources management on the basis of sustainable development. Integration is considered to be the main principle of land resources management. The research proves that solution of ecological problems of land management requires achievement of a set of coordinated targets concerning development of rural territories, land resources management and national environmental policy based on the principles of suitable development. The targets include: planning of land use outside settled areas on the landscape and ecological basis; land inventory; formation of the land bank of agricultural lands; development and support of alternative kinds of activity on rural area; development of an efficient mechanism to encourage performance of land protection measures; improvement of environmental responsibility of population and development of ecological education. The methodological basis of the research is the concept of sustainable development, which expects support for a continuous character of development in order to meet the current needs along with ensuring the needs of future generations. The fulfilment of the task requires examination of scientific works on the issue of sustainable management of land resources and an ecological component of rural territory development.

In the study, creation of 3D surface relief model in Jelgava, for southern part of the Castle Island is depicted. Information about remote sensing, its historical development, as well as directions of remote sensing, development of photogrammetry and laser scanning is summarized and analysed. Principles of work and methods of photogrammetry and laser scanning are viewed. Information about creation of surface relief model from planning of unmanned aircraft, data capture and alignment to the end product – surface relief model are described. Application of evaluation of data obtained. The purpose of the study – to create 3D surface relief model in Jelgava, for the southern part of the Castle Island. Tasks of the study – to consider development and improvement of photogrammetry and its processes, as well as development of laser scanning and principles of its work; to research, analyse and describe technological processes of laser scanning; to create 3D surface relief model in Jelgava, for the southern part of the Castle Island; to perform comparison of surface models obtained and describe application of laser scanning. Preparation of surface relief model is time-consuming process, which includes flight planning and preparation of end-product. End-products obtained in data processing of laser scanning have very broad usage in many sectors related to geodesy and construction.

The main factors that influence the rational land use, conservation and protection of land resources are global ecological and food security, world's population growth, climate change, land acquisition by large world agricultural corporations etc. In this process a priority of attention is protection of the important agricultural lands (in Ukraine, these lands are called especially valuable lands - EVL). Besides, lands with highly productive soils, areas with undisturbed ecosystems, territories with objects of cultural heritage, natural therapeutic resources are a part of EVL. This paper focuses on new approaches to the legal protection of EVL in Ukraine. The special value of these lands in Ukraine is legalized and is means of their legal protection (Art. 150 of the Land Code of Ukraine). The main idea of this paper – studying of problems of legal protection of EVL and development of new approaches to their protection. These approaches will be based on introduction of economic regulators at withdrawal of EVL or change their intended use for needs that don't correspond to nature protection value. The reseach is based on case study method and statistical method. Approaches for cartographic modeling for assessment and mapping of EVL are offered. Results of this reseach are an obtaining of practical experience in the field of protection of EVL in Ukraine, development of suggestions for improving of an organizational and legal mechanism the use of EVL through their registration, monitoring, evaluation, development of their State Register. These measures can increase competitiveness of EVL, prevent Land-Grabbing and provide sustainable development of the rural territory.

The purpose of this scientific research is to reveal the theoretical foundations of modern land management and determine its tasks. The patterns of land management, its tasks and principles are formulated in the conditions of modern agrarian reform. The system of interconnected forecasting and design of land management development is proposed. The methodological and theoretical basis of research is a dialectical method and a systematic approach to the cognition of economic phenomena and processes. According to this method, all objects are viewed not in isolation, but in a reciprocal relationship and in the process of constant development. In the course of the research, monographic, abstract-logical methods, a system approach, comparative analysis, and expert assessments were used. The scientific research is based on the development of domestic scientists, the experience of land management in the Republic of Belarus, land-cadastral data, normative and reference literature. As a result of the research, it was established that in the conditions of the agrarian reform carried out in the Republic of Belarus land management is an effective mechanism for implementing state policy in the field of land management, regulation of land relations, organization of use and protection of land. Modern land management, based on the state strategy of land reforms, should have a concept of its development based on the laws, which were set in the work, as well as successful solve these problems. For the successful solving of the problems, it is important to revive the previously existing system of forecast and project of land management development in an improved form.

The analysis results of common terms in land management and their interpretations in normative-legal acts of Ukraine are presented. It have been established collisions and significant differences in the wording of even such common terms as a land parcel, a boundary of land parcel, a size of land parcel, etc. The purpose of the study is to identify collisions and contradictions of some key terms used in land surveying and geodetic works, as well as development of concrete proposals for improving and perfection the relevant terms. For this purpose, the following tasks were set and solved: analysis of regulatory legal acts of Ukraine concerning the conceptual apparatus of land management, systematization and generalization of substantiation results of the relevant terms correction need, development of proposals taking into account works content on land management and geodetic works for information provision of the State Land Cadastre. In the course of the study, the comparative method of analysis and the systematization of inconsistencies in the current normative legal acts of Ukraine regarding the terms and their interpretation are used. During the proposals development, known approaches "from general to partial" and vice versa were used. The established disadvantages do not allow unambiguously interpreting and performing such important work as geodetic setting or restoration of the land parcels boundaries, resolution of land disputes between adjacent users of land parcels. Completed summaries of content and wording of the relevant terms justify a need for correction of the terms and additions to their definitions. It was set the features of each term. As a result of integrated approach to solution of the existing problem and systematization of established differences, the general wording and detailed specification of the analyzed terms interpretations are proposed. Knowledge of technological stages for geodetic and land management works provided an opportunity to improve the geodetic information support of the State Land Cadastre. The proposals for correction of the studied terms eliminate existing contradictions, provide an unambiguous interpretation of land management terminology, which leads to the exact execution of geodetic and land management works, and, accordingly, obtaining reliable information for the State Land Cadastre.

Revitalization is a set of urban and planning activities, coordinated by local self-government administration, aim of which is a social, architectural, planning and economical advantageous transformation of the specific area of the municipality, being in a state of crisis resulting from economic and social factors. Whereas, the renewal of the countryside is understood as shaping the living conditions of people in rural areas, with the local community as an animator and subject. The combination of revitalization and renewal of rural areas is a particularly important and urgent task, connected with rural and architectural chaos, decline of cultural context and local tradition. The aim of the article is to examine information needs for the renewal and revitalization of rural areas, and the possibilities of satisfying these needs using available spatial information systems. The first part of the paper contains an analysis of information needs in the field of renewal and revitalization of rural areas, created on the basis of literature and valid legal provisions. The created information resource illustrates the scope of data necessary for proper planning of renewal and revitalization of rural areas. In the second part, specific information needs were compared with the capabilities of existing spatial information systems. The possibility of obtaining free of expense information necessary for renewal and revitalization of rural areas was analysed. Systems which may be useful in the implementation of related activities are also indicated.

Railway tracks require more thorough maintenance and analysis than regular roads for cars. Defects are here noticed and recorded by using special equipment. Construction of railway roads and their exploitation requires optimal accuracy and monitoring of surveying. It is related to maximum allowed speed of trains, the environment, transport and human safety. In order to highlight complex problems of railway road exploitation, the evaluation of railway roads was conducted. Problem areas of railway maintenance were identified. Their monitoring needs to be improved by applying geodetic devices for surveying. Comparing analogous surveying conducted using EM140 machine with that of geodetic equipment, one can see the advantage of geodetic surveying. Technical gaps in the surveying process, data storage and procession were evaluated as well. It was discovered that maintenance and monitoring works should be pursued more frequently using high accuracy geodetic equipment.

Local geodetic network is very important in harmonic development of city territory. On the base of the local geodetic network, cadastral and topographic surveying works, engineering geodetic works and executive measurements of newly built buildings and engineering networks are carried out. In the territory of Riga, the local geodetic network was started to create in 1880, and in the course of time, as the city expanded, necessity to have wider reference network emerged. In 2005, in the territory of Latvia, network of continuously working base stations LatPos was launched, which ensured completely new trends in execution of measurements and accuracy reached. One year later, base station network EUPOS-RIGA was launched in the territory of Riga. It can be regarded as consistent part of Riga local geodetic network. The purpose of the research was to state, what are differences between historically used coordinates of points of the local geodetic network, and coordinates that are determined by use of real time corrections of LatPos and EUPOS-RIGA base station network. Measurements were made in the territory of Riga in period from December 2016 until April 2017. In the framework of the research, 61 point of the local geodetic network was inspected and in 38 cases GNSS observations in RTK mode were completed. In the research, catalogues of coordinates of polygonometry points of sixties and eighties were used in order to compare what differences of coordinates existed historically. The main conclusion drawn during the research – historical points of the local geodetic network shall not be used for surveying works of any kind before improvement of them and before they comply with requirements of normative acts.

The main purpose of data mining in private and public sector institutions is to process and analyse data with the aim of generating reliable information for decision-making. Decision-making performance is determined by the availability of the relevant data and the user’s ability to adapt that data for analytical purposes. The popularity of spatial statistical tools is on the rise owing to the complexity of the analysed factors, their variation over time and their correlations with the spatial structure. Popular models should be applied in demographic analyses for the needs of the spatial planning process. The availability of high-resolution data and accurate analytical tools enhances the value of spatial analyses, and the described models can be universally applied to support the decision-making process. The aim of this study was to present the applicability of selected spatial statistical models for analysing demographic data in the planning process and to identify the main advantages of these models.