We use a multi-equation model of polluting technologies to evaluate excess nitrogen's marginal abatement cost (MAC). The MAC is estimated using the convex non-parametric quantile regression. The empirical application is conducted at the plot level for wheat production in France in 2017. Results show a median shadow price for excess nitrogen of about €21 per kilogram. If the current European Union's Nitrates Directive (which sets a 170-kg constraint on organic nitrogen per hectare) were extended to mineral nitrogen, this would allow a reduction of total excess nitrogen by 9.5%, but this would be accompanied by a 3.1% decrease in wheat revenue.

中文翻译：

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法国小麦田减少过量氮的成本：利用多技术模型进行评估

我们使用污染技术的多方程模型来评估过量氮的边际减排成本（MAC）。MAC 使用凸非参数分位数回归进行估计。实证应用是在 2017 年法国小麦生产的地块水平上进行的。结果显示，过量氮的影子价格中位数约为每公斤 21 欧元。如果当前欧盟的硝酸盐指令（对每公顷有机氮设定了 170 公斤的限制）扩展到矿物氮，这将使总过量氮减少 9.5%，但这将伴随着 3.1% 的减少在小麦收入中。