Mapping regularities in the solar irradiance data using complementary complexity measures

Solar irradiance represents one of the principal phenomena of interest in geophysics and recent research, especially which concerned with renewable energy, suggests that the complexity of solar irradiance time series offers important insights into the dynamics of different geophysical systems. We examined the complexity of the daily cumulative global horizontal irradiance (kWh/m(2); dGHI in further text) recorded by satellite for 32 stations on the island of La Reunion over a 35-month period (2004-2006) using Kolmogorov complexity (KC) and a recently introduced measure-Aksentijevic-Gibson complexity (AG) which is capable of quantifying the complexity of both long and short strings. Previous examinations of physical data suggest that AG could represent a useful addition to the geophysical analysis toolkit. Our results demonstrate for the first time that running KC is capable of capturing periodic patterns in data and that AG is sensitive to both global/long-scale spatial and temporal structure and local/short-range complexity fluctuations. Importantly, we report a putative weekly periodicity which might be related to environmental factors and human activity. In conclusion, we suggest that AG could represent a useful tool in the study of solar irradiation time series but also with other types of geophysical data.

Automated summary

Research has found that the complexity of solar irradiance time series can be effectively analyzed using Kolmogorov complexity and Aksentijevic-Gibson complexity, providing insights into both global/long-term structures and local/short-term fluctuations. The study also identifies a potential weekly periodicity related to environmental factors and human activity. These findings suggest that Aksentijevic-Gibson complexity could be a valuable tool not only for studying solar irradiation time series, but also for other types of geophysical data.