The usage of precedence in analysis of impact of the economic crisis for accommodation services

The paper deals with the evaluation of changes in occupancy of accommodation facilities in different regions of the Czech Republic in time of the economic crisis. Input data are obtained from the Czech Statistical Office. In selected time intervals there are detected increases and decreases in values of selected data relating to accommodation services. These changes are compared within each region and are recorded into precedence matrices. Relations captured through precedence are gradually analyzed using the matrix exponentiation. Based on the exponentiation there are identified regions, among which we can observe non decreasing respectively non increasing changes of the monitored values. In more detailed, there are observed precedence of various lengths and found the maximal precedence. The precedence analysis make possible to monitor changes and directions of influence of economic crisis between regions. Comparison of calculated precedence at different time intervals shows the possible dependencies between the variables being monitored in individual regions. The research results can be subsequently used for comparison with changes of other economic variables and the determination of dependencies between these variables.