综合海洋磷模型中深海缺氧的发展
The development of deep-ocean anoxia in a comprehensive ocean phosphorus model
AI总结：
本文对Slomp和Van Cappellen的海洋磷循环模型进行解析分析，证明碳磷浓度受深海可溶性活性磷支配，并显式确定深海含氧与缺氧状态的临界参数，为简化大型生物地球化学模型提供应用数学方法。
摘要：
我们分析了Slomp和Van Cappellen（2007年，https://doi.org/10.5194/bg-4-155-2007）提出的海洋磷循环模型。该模型包含四个不同的海洋盆地，并纳入了水循环、碳循环和氧循环的相关部分。我们证明该模型本质上可以解析求解，其行为无需借助数值方法即可完全理解。特别地，我们证明在模型中，不同海洋储库中的碳和磷浓度均受深海可溶性活性磷浓度的支配，后者在180,000年的时间尺度上弛豫至平衡态；我们还证明深海要么处于含氧状态，要么处于缺氧状态，这取决于一个我们可以显式确定的临界参数。最后，我们考察了该临界参数的值如何依赖于模型中所包含的物理参数。所提出的方法基于应用数学工具，可用于降低其他大型生物地球化学模型的复杂性。
英文摘要：
We analyse a model of the phosphorus cycle in the ocean given by Slomp and Van Cappellen (2007, https://doi.org/10.5194/bg-4-155-2007). This model contains four distinct oceanic basins and includes relevant parts of the water, carbon and oxygen cycles. We show that the model can essentially be solved analytically, and its behaviour completely understood without recourse to numerical methods. In particular, we show that, in the model, the carbon and phosphorus concentrations in the different ocean reservoirs are all slaved to the concentration of soluble reactive phosphorus in the deep ocean, which relaxes to an equilibrium on a time scale of 180,000 y, and we show that the deep ocean is either oxic or anoxic, depending on a critical parameter which we can determine explicitly. Finally, we examine how the value of this critical parameter depends on the physical parameters contained in the model. The presented methodology is based on tools from applied mathematics and can be used to reduce the complexity of other large, biogeochemical models.
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