Supplemental Materials for “Long-Term Persistence and Coherence in Regionally Averaged Temperature, Precipitation and Streamflow Series Across Two Canadian Drainage Basins”

The Supplemental Materials document provides full mathematical details for the LSV and LSSD Hurst estimators, extended station-level and spatial persistence statistics for annual streamflow across all regions, additional figures illustrating regional and continental patterns of long-term persistence, and validation diagnostics for the VAR and MF-DCCA analyses. It supports the main article, "Long-Term Persistence and Coherence in Regionally Averaged Temperature, Precipitation and Streamflow Series Across Two Canadian Drainage Basins" by documenting the technical methods and detailed results underlying the basin‑scale and multi‑scale findings.