Bachelor's thesis compares and evaluates various methods for estimating the size of the brown bear population, as one of the basic characteristics of the favorable status of the species. The task is to find and design suitable research methods aimed at systematic monitoring of the population and its trends in our country. The work deals with strengths and weaknesses, efficiency, feasibility and financial demands of individual methods. Based on the analysis of these methods, a possible difference or inaccuracy of the achieved outputs is pointed out. Knowledge of the demographic parameters of a population is the basis for the management of a species, whether it is hunting or the protection of the species. The work to some extent reflects the outputs of telemetric monitoring of bears in Slovakia, which contributes to a more comprehensive explanation of spatial activity and the resulting problems in the application of monitoring of bear populations in practice. Demographic parameters (population density, population trend, population structure, birth rate) are part of the evaluation of the favorable situation, therefore it is important to determine an effective method, suitable in terms of its long-term feasibility.