We use a mapped landslide inventory coupled with a 2‐m resolution vertical difference model covering an area of 6,875 km² to accurately constrain landslide volume‐area relationships. We use the difference model to calculate the source volumes for landslides triggered by the M_W 7.8 Kaikōura, New Zealand, earthquake of 14 November 2016. Of the 29,519 mapped landslides in the inventory, 28,394 are within the analysis area, and of these, we have calculated the volume of 17,256 source areas that are ≥90% free of debris. Of the 28,394 landslides, about 80% are classified as soil or rock avalanches and the remainder as mainly translational slides. Our results show that both the soil avalanches and the rock avalanches, ignoring their source geology, have area to volume power‐law scaling exponents (γ) of 0.921 to 1.060 and 1.040 to 1.138, respectively. These are lower than the γ values of 1.1–1.3 (for soil) and 1.3–1.6 (for rock) reported in the literature for undifferentiated landslide types. They are, however, similar to those γ values estimated from other coseismic landslide inventories. In contrast, for 50 selected rotational, translational (planar slide surfaces), or compound slides, where much of the debris remains in the source area, we found γ values range between 1.46 and 1.47, indicating that their slide surfaces were considerably deeper than those landslides classified as avalanches. This study, like previous studies on coseismic landslides, shows that soil and rock avalanches (disrupted landslides) are the dominant landslide type triggered by earthquakes and that they tend to be shallow.

中文翻译：

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数字化地表差异模拟推导了新西兰MW 2016 7.8级地震引发的滑坡体量特征

我们使用映射的滑坡清单和覆盖面积为6,875 km ²的2 m分辨率垂直差异模型来精确约束滑坡的体积-面积关系。我们使用差异模型来计算由M _W触发的滑坡的源体积新西兰，2016年11月14日地震7.8，凯库拉。在清单中29,519个标绘的滑坡中，有28,394个位于分析区域内，其中，我们计算出17256个源区域的体积，其中90％以上没有碎片。在28,394个滑坡中，约80％被分类为土壤或岩石雪崩，其余主要为平移滑动。我们的结果表明，无论是土壤崩塌还是岩石崩塌，都忽略了其源头地质，其面积-体积幂律标度指数（γ）分别为0.921至1.060和1.040至1.138。这些值低于文献中未分类滑坡类型的γ值1.1–1.3（对于土壤）和1.3–1.6（对于岩石）。但是，它们类似于γ根据其他同震滑坡清单估算的价值。相比之下，对于50个选定的旋转，平移（平面滑动表面）或复合滑动，其中大部分碎片保留在源区域中，我们发现γ值在1.46和1.47之间，表明它们的滑动表面比那些滑动表面深得多被分类为雪崩的滑坡。与先前对同震滑坡的研究一样，该研究表明，土壤和岩石雪崩（受破坏的滑坡）是地震触发的主要滑坡类型，并且它们往往很浅。