THE FRACTAL AND TOPOLOGICAL ANALYSIS OF THE LABOUR MARKET USING OPEN DATA

Author(s): Kerimov M.T.

Rubric: System analysis, information management and processing

DOI: 10.21777/2500-2112-2026-3-109-117

Release: 2026-3 (56)

Pages: 109-117

Keywords: labour market, open data, time series, detrended fluctuation analysis, multifractal analysis, topological data analysis, statistical validation

Annotation: The study tests a reproducible procedure for applying fractal and topological methods to open cross-country labour-market data. The empirical base consists of annual WDI unemployment series, indicator SL.UEM.TOTL. ZS, for Russia, the United States, Germany and the European Union aggregate for 1991–2025. The methodol- ogy combines detrended fluctuation analysis for levels and first differences, exploratory MFDFA diagnostics and descriptive persistent-homology indicators for delay embeddings. It is shown that the level series reflect the trend instability to a greater extent, while the first differences provide a more correct basis for a careful interpretation of scale properties. The main scientific result is the separation of trend, scaling and topological components in unemployment dynamics. The effectiveness of the procedure lies in reducing the risk of falsely interpreting trend persistence as long memory in short annual samples.

Bibliography: Kerimov M.T. THE FRACTAL AND TOPOLOGICAL ANALYSIS OF THE LABOUR MARKET USING OPEN DATA // Education Resources and Technologies. – 2026. – № 3 (56). – С. 109-117. doi: 10.21777/2500-2112-2026-3-109-117