Considering atmospheric N₂O dynamic in SWAT model avoids the overestimation of N₂O emissions in river networks

Modeling studies have focused on N₂O emissions in temperate rivers under static atmospheric N₂O (N₂O_airc), with cold temperate river networks under dynamic N₂O_airc receiving less attention. To address this knowledge and methodological gap, the dissolved N₂O concentration (N₂O_disc) and N₂O_airc algorithms were integrated with an air-water gas exchange model (F_N2O) into the SWAT (Soil and Water Assessment Tool). This new model (SWAT-F_N2O) allows users to simulate daily riverine N₂O emissions under dynamic atmospheric N₂O. The spatiotemporal fluctuations in the riverine N₂O emissions was simulated and its response to the static and dynamic atmospheric N₂O were analyzed in a middle-high latitude agricultural watershed in northeastern China. The results show that the SWAT-F_N2O model is a useful method for capturing the hotspots in riverine N₂O emissions. The model showed strong riverine N₂O absorption and weak N₂O emissions from September to February, which acted as a sink for atmospheric N₂O in this cold temperate area. High N₂O emissions occurred from April to July, which accounted for 83.34% of the yearly emissions. Spatial analysis indicated that the main stream and its tributary could contribute 302.3-1043.7 and 41.5-163.4 μg N₂O/(m²·d) to the total riverine N₂O emissions (15.02 t/a), respectively. The riverine N₂O emissions rates in the subbasins dominated by forests and paddy fields were lower than those in the subbasins dominated by arable and residential land. Riverine N₂O emissions can be overestimated under the static atmospheric N₂O rather than under the increasing atmospheric N₂O. This overestimation has increased from 1.52% to 23.97% from 1990 to 2016 under the static atmospheric N₂O. The results of this study are valuable for water quality and future climate change assessments that aim to protect aquatic and atmospheric environments.