Prognostic modeling of urbanized territory should be an integral component of military and geographical analysis of operational-strategic direction. In the absence of sufficient information from various means of intelligence, forecasts, including long-term ones, can significantly increase the reliability of information in the decision-making support system. Based on this, the methods of mathematical-cartographic modeling have the right to exist in such system as an additional source of prognostic information. From all variety of methods of mathematical-cartographic modeling, the method of cellular automata was chosen for study, as a discrete in time, dynamic in space and multifactorial process. Thorough analysis of literary sources, which determine the state and modern trends in development of cartographic modeling of territorial development of cities in the world, was carried out. The place of the method of cellular automata in the system of mathematical- cartographic modeling as tool for creating prognostic models of dynamics of spatial distribution of phenomena is determined. The structure of spatial database of mathematical-cartographic modeling of the territorial development of Ukrainian city Dnipro has been developed. Local transition functions are constructed that determine the relationships between single cellular automata in the raster surface of simulation. A software application was developed in high-level Python general-purpose programming language, integrated into the environment of ArcGIS geoinformation system, and modeling of territorial development of city Dnipro was carried out. As a result of modeling, scenarios of the city's development for the next five and ten years were obtained. The growth of the area of territorial development of city Dnipro in the next five years may amount to seventy-two square kilometers, and in the next ten years – one hundred and twelve square kilometers. In total, the expansion of the city territory by one hundred and eighty-four square kilometers is predicted, which will ensure its total increase by forty-four percent.

Russia’s military aggression against Ukraine on February 24, 2022 began with the bombing of populated areas on the territory of Ukraine and caused massive destruction of civilian (residential) infrastructure. Accordingly, the Russian war against Ukraine led to large-scale migration of the population both to the safer western regions of the country and beyond. Quantitative indicators of forced population migration are disclosed in the article with the help of statistical, analysis and synthesis, comparative and geographical. According to UN data, 11.4 million Ukrainians left their homes in the first months of the full-scale invasion. Today, 4.9 million people live abroad, 7.1 million people have the status of internally displaced persons. But at the same time, 2.3 million people have already returned to Ukraine. The geographical aspects of external forced migration are defined. The largest share of forced migrants from Ukraine was registered in Poland and Germany. The sex-age structure of forced migrants abroad is also determined. Based on the descriptive method, the reasons that prompted Ukrainians to choose the appropriate country are highlighted, namely: preference for a country where migrants have acquaintances or relatives; proximity to the border, i.e. migration to neighboring countries; employment opportunities and social benefits. Quantitative characteristics and geography of resettlement within the country of internally displaced persons are analyzed. Separated groups of the population that are least likely to return to Ukraine. Namely, these are mobile layers of the population; persons who planned to go abroad before February 24; seasonal workers abroad; the population that was under occupation lost their homes or loved ones. Issues of facilitating the return of Ukrainian migrants abroad to their homes are highlighted. That is why it is important to develop a policy aimed at creating favorable conditions for the return of Ukrainians and not to lose contact with them. After a full-scale war ends and the security situation stabilizes, there will be a need to create opportunities for return, primarily in terms of housing and employment.

The article focuses on the main legal aspects of the land registry system in Ukraine. Research allowed to identify theshortcomings of the existent, inefficient land registry system, which significantly increase the conflict potential of land matters.The article also covers the preconditions needed for the establishment of an ef ficient land registry system based on the lessonslearned from land surveying activities of the Ministry of Defense. Moreover, it provides a comprehensive description of thecurrent state of the national land registry system of Ukraine. The paper highlights factors enabling the development of a cohesivesystem of measures, that would allow to significantly improve management of the land registry system of Ukraine. A list ofreasons has been provided, justifying a lack of an all-encompassing registration of the military land parcels of the Ministry ofDefense of Ukraine. Besides, many other topical issues related to the military land were identified, including systematicshortcomings that intervene with the comprehensive and legal usage of real estate assets of the Armed Forces of Ukraine. Inorder to ensure that the real estate and land parcel management system conforms to the law, preconditions for the establishmentof a computerized military land and real estate registration system were identified. Research findings included suggestionsrelated to the establishment of land management, registry and land registration center in the structure of MOD, which would dealwith issues related land management, registry and land registration. To ensure direct control and timely response such centerwould have subordinated detachments. The article provides a list of suggestions for the establishment of an efficient controlover the land fund of the Armed Forces of Ukraine, which will not only simplify the process of stock taking, but also will speed upthe process of land parcel transfer to the Ministry of Defense of Ukraine.

It should be noted that the role of the topographic and geoinformation component in the combat support of the operational group of troops, which is created in the context of hostilities, has recently increased significantly. The use of analytical and forecasting geoinformation models to solve problems of geospatial (topographic) support of troops, to replace analytical and forecasting activities based only on their own experience and limited information – improves the quality of tasks; allows you to simplify and increase the speed of tasks; automatically obtain reliable geospatial information while supporting decision-making with minimal time. Geographic information systems based on modern computer technologies allow to combine images of the territory (electronic display of maps, diagrams, space, aerial images of the earth's surface) with information of tabular type (various types of data) in the form of analytical and forecasting model of geoprocessing. Ability to develop additional geoinformation models (geoprocessing models) to solve various "custom" tasks – this allows them to be used in analytical and forecasting activities to perform geospatial support tasks in the preparation and conduct of hostilities. In the future, the trend of using analytical and forecasting geoinformation models to solve the problems of geospatial support of troops in hostilities will only grow. This is due to the development of information technology; increasing exponentially the amount of information that commanders (staffs) process when planning or making decisions; using the data of unmanned aerial vehicles, increasing the requirements for efficiency and quality of geospatial support of hostilities; increasing the geoinformation aspect in the topographic and navigational and navigation support of the Armed Forces of Ukraine.

Geoinformational monitoring of urban environment is a necessary component of modern military-geographical description of military operation theater. The polymorphism property of modern geoinformational monitoring can be attributed to tactical properties, since it significantly expands range of decryption features of territory to be studied. The essence of polymorphism property of geoinformational monitoring is as follows: the same object of monitoring or the same phenomenon or process can be represented by different models. This property of geoinformational monitoring allows to preserve the integrity of representation of monitoring objects due to the invariance of description of objects and to bring the study of tasks of one type of monitoring to tasks of another type. Consistency of disparate models of monitoring objects is carried out provided that they belong to a given category of models. A constructive approach to the integration of different types of models of monitoring objects in the system of geoinformational monitoring is using methods of categorical-functional analysis. The mathematical apparatus of category theory allows the formalization of structures of complex systems in the form of sets of morphisms and objects of category of structured sets. This allows us to preserve integrity of representation of monitored object, and the consistency of its disparate models based on the analysis of their belonging to a given category of models. The paper presents the mathematical apparatus of implementation of this method, which is the theoretical basis of properties of polymorphism of geoinformational monitoring. The property of polymorphism allows us to increase the efficiency of processes of observation, evaluation, control and management of urban environment on basis of a heterogeneous polymodel complex, which forms information space of object of monitoring. Specific models of practical implementation of the polymorphism properties of geoinformational monitoring on the example of anomalous zones of density of vehicles and thermal field of the city surface are considered.