Analytical long‐profile models of fluvial incision are fundamental in geomorphology for building intuition about long‐term landscape evolution and interpreting the climatic and tectonic histories of landscapes. However, analogous models are missing for glaciers, despite the fact that glaciers are important and widespread agents of physical erosion. We introduce a new model of glacial erosion in terms of catchment area, ice accumulation rate, and ice surface slope in a form that is similar to the classic stream power incision model for fluvial erosion. We derive an analytical solution for coupled glacial‐fluvial networks under steady‐state climate and uplift, predict an ice surface slope–catchment area power‐law relationship, and predict the scaling of orogen relief with uplift rate. Finally, we note that this theory should enable glacial landscape evolution models that rival modern fluvial models in efficiency.

中文翻译：

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滑冰切口模型：了解冰川景观演变的新方法

河流切口的长剖面分析模型对于建立长期景观演化的直觉和解释景观的气候和构造历史是地貌学的基础。但是，尽管冰川是重要且广泛的物理侵蚀因子，但冰川缺少类似的模型。我们根据集水面积，冰蓄积率和冰面坡度介绍了一种新的冰川侵蚀模型，其形式类似于河流侵蚀的经典流力切割模型。我们导出了稳态气候和隆升作用下的冰川河网耦合分析解决方案，预测了冰面坡度与集水区的幂律关系，并预测了隆升速率对造山带释放的影响。最后，