Time-series analysis reveals robust linkages between service, commerce, and agricultural sectors in Cotopaxi, highlighting the necessity of detrending across shifting statistical regimes.
This study describes the evolution and interrelationships of the main productive sectors in the Province of Cotopaxi, Ecuador, over 2001–2023 (N=23 annual observations), using provincial accounts from the Central Bank of Ecuador (BCE). The available series spans a legacy 2001–2006 statistical regime and a later 2007–2023 regime with a different monetary basis; sector definitions were therefore harmonized, and each sector-indicator series was standardized separately within its source regime before correlation analysis. Two-tailed Pearson correlations were calculated for Gross Value Added (GVA), Gross Production, and Intermediate Consumption. Robustness was evaluated with detrended residual/partial correlations that control separate linear trends by source regime and with within-regime first differences that exclude the 2006–2007 transition. In standardized levels, the strongest correlations with total GVA were observed for services (r=0.957, p<0.001), commerce (r=0.953, p<0.001), and agriculture (r=0.933, p<0.001). Gross Production showed the strongest associations for commerce (r=0.959, p<0.001), agriculture (r=0.946, p<0.001), and services (r=0.888, p<0.001), while Intermediate Consumption was most strongly associated with agriculture (r=0.958, p<0.001), commerce (r=0.948, p<0.001), and industry (r=0.887, p<0.001). The robustness checks substantially attenuated several level relationships; for industry, signs of GVA association reversed from positive at the level to negative after detrending; meanwhile, commerce and services retained comparatively consistent short-run associations in annual changes in GVA and Gross Production. The results are therefore interpreted as descriptive associations rather than causal effects: Pearson correlation coefficients cannot, by construction, establish the direction or mechanism of influence between sectors. Beyond these sectoral findings, the central contribution of this study is methodological: it illustrates why detrended and first-differenced robustness checks are necessary when Pearson correlations are computed from data spanning incompatible statistical regimes, a common challenge in regional statistics for developing countries.
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Ascazubi et al. (2026) studied this question.
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