Lysimeter-based full fertilizer 15N balances corroborate direct dinitrogen emission measurements using the 15N gas flow method

The $^{15}$N gas flux ($^{15}$NGF) method allows for direct in situ quantification of dinitrogen (N$_2$) emissions from soils, but a successful cross-comparison with another method is missing. The objectives of this study were to quantify N$_2$ emissions of a wheat rotation using the $^{15}$NGF method, to compare these N$_2$ emissions with those obtained from a lysimeter-based $^{15}$N fertilizer mass balance approach, and to contextualize N$_2$ emissions with $^{15}$N enrichment of N$_2$ in soil air. For four sampling periods, fertilizer-derived N$_2$ losses ($^{15}$NGF method) were similar to unaccounted fertilizer N fates as obtained from the $^{15}$N mass balance approach. Total N$_2$ emissions ($^{15}$NGF method) amounted to 21 ± 3 kg N ha− 1, with 13 ± 2 kg N ha− 1 (7.5% of applied fertilizer N) originating from fertilizer. In comparison, the $^{15}$N mass balance approach overall indicated fertilizer-derived N$_2$ emissions of 11%, equivalent to 18 ± 13 kg N ha− 1. Nitrous oxide (N$_2$O) emissions were small (0.15 ± 0.01 kg N ha− 1 or 0.1% of fertilizer N), resulting in a large mean N$_2$:(N$_2$O + N$_2$) ratio of 0.94 ± 0.06. Due to the applied drip fertigation, ammonia emissions accounted for < 1% of fertilizer-N, while N leaching was negligible. The temporal variability of N$_2$ emissions was well explained by the δ$^{15}$N$_2$ in soil air down to 50 cm depth. We conclude the $^{15}$NGF method provides realistic estimates of field N$_2$ emissions and should be more widely used to better understand soil N$_2$ losses. Moreover, combining soil air δ$^{15}$N$_2$ measurements with diffusion modeling might be an alternative approach for constraining soil N$_2$ emissions