2026-07-01 CATENA 2026 269(卷), null(期), (null页)
Accurately estimating soil-atmosphere carbon fluxes in complex terrains has always been challenging. Although the surface area of complex terrains can be well approximated using regular/irregular triangular grids to correct Ortho-projection, such advanced fractality primarily ruled out the possibility to integrate the topographic heterogeneity with localized soil CO2 emissions. In this study, we integrated in-situ soil CO2 emission rates across slope gradients with high-resolution gradient-corrected surface area to upscale the CO2 emissions from a complex terrain on the Chinese Loess Plateau. Our observations revealed that: 1) as the slope gradients increased, the depletion of soil carbon, nitrogen and microbial abundances on steeper slopes collectively led to exponentially decreasing CO2 emission rates. 2) After corrected with slope gradient (theta), the actual terrain surface area derived from the 3D DEMs was on average 23% larger than that from the 2D DEM. The relative area differences (i.e., 2D/3D ratios) followed the function of 1/cos(theta), with the misrepresentation being amplified on steeper slopes and with finer resampling grid size. 3) After area-weighted integration, the coupling effects of slope-dependent decline in CO2 emissions and amplified area misrepresentation followed a U-shaped curve tipping at 50 degrees, resulting in 15% similar to 26% less integrated CO2 flux rates from 3D DEMs for the studied watershed. Overall, the gradient-dependent integration as proposed in this study not only explains the partiality of Ortho-projection-based upscaling protocols, but also provides a pragmatic and scalable framework to abridge geomorphometry and ecosystem biogeochemistry to help constrain carbon flux uncertainties in complex terrains.