Skip to main content
. 2026 Apr 2;17:4752. doi: 10.1038/s41467-026-71245-x

Table 1.

Trade volume and unit price effects of VSS coverage, moderated by exporter-importer governance distance and VSS substantive and procedural stringency

Trade volume effect Unit price effect
(1) (2) (3) (4) (5) (6)
VSSikt-1 0.0141*** (0.0025) 0.0167*** (0.0033) 0.0127*** (0.0030) −0.0020*** (0.0004) −0.0031*** (0.0004) −0.0027*** (0.0004)
VSSikt-1 ×
 Governance distanceijt 0.0078*** (0.0019) 0.0111*** (0.0024) 0.0062*** (0.0023) 0.0009*** (0.0003) 0.0017*** (0.0003) 0.0011*** (0.0003)
 Procedural stringencyikt-1 -0.0057 (0.0037) 0.0017*** (0.0004)
 Substantive stringencyikt-1 −0.0013 (0.0023) 0.0036*** (0.0003)
VSSikt-1 × Governance distanceijt ×
 Procedural stringencyikt-1 −0.0073*** (0.0025) −0.0013*** (0.0002)
 Substantive stringencyikt-1 −0.0021 (0.0016) −0.0015*** (0.0002)
Observations 955,861 955,861 955,861 120,382 120,382 120,382

Notes: Estimated trade volume effect (columns 1 to 3) and unit price effect (columns 4 to 6) moderated by governance distance and by overall substantive and procedural VSS stringency. Estimates derived from augmented gravity models at the exporter(i)-importer(j)-product(k)-time(t) level, estimated using PPML on the full sample (N = 955,861 exporter-importer-product-time trade flow observations) for trade volume effects and the non-zero sample (N = 120,382 exporter-importer-product-time trade flow observations) for unit price effects. All estimations include bilateral, importer-time, exporter-time, and product-time fixed effects. Robust exporter-importer-product standard errors in parentheses. Significance tested with unadjusted two-sided z-test and indicated as ***p < 0.01. Regression results with exact p-values are reported in Supplementary Table S14.

VSS voluntary sustainability standards, PPML Poisson pseudo-maximum likelihood.