Phase transitions’ in time series for arriving and household domestic tourism statistics

Abstract

The normalized time series over arriving and household domestic statistics for different types of expenditures (package tours, accommodation, food-beverage, health, tour services, GSM roaming, clothes-shoes, souvenirs, carpets-rugs) in the period 2003-2016 in Turkey touristic sector have been investigated by the application of nonlinear statistical analysis (entropy evaluation via Hurst exponents, fractal Hausdorff dimension in the state
space). We demonstrate the existence of ‘phase transitions’ for the particular expenditures in different time periods. Our approach opens a gate for studying chaotic components in touristic time series and for developing nonlinear dynamical model in the multi-dimensional state
space of touristic expenditure variables.