We address the modeling of spatial distribution of coseismic landslides, based on an empirical approach applied to both recent and historical well-documented events. We analyze a dataset of 11 historical and recent normal faulting earthquakes in the Italian Central Apennines. Firstly, making use of a kernel density estimator approach, we calculated the regression between the extent of the maximum area affected by landslides (A; km 2 ) and Mw, on the combined dataset of recent and historic earthquakes: Log A = (1.0397 Mw)–3.9288. Then, for recent earthquakes only, we analyzed the attenuation regression of landslide density (Dens; no. of landslides/km 2 ) with distance from surface fault trace (Dfault; meters): Dens = 0.3661 × exp (− 5.053 Dfault). Historical events, still presenting systematically lower values of landslide densities, can be regressed on the same functional form resulting in a similar factor of attenuation with distance but with a different scaling factor. We thus argue that empirical regressions on historical earthquake-triggered landslides can be successfully exported elsewhere if a well-documented catalog is present and a calibration with several recent events can be done.

中文翻译：

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意大利亚平宁山脉地震引发的滑坡衰减回归评估：来自近期和历史事件的见解

我们基于应用于近期和历史记录良好的事件的经验方法来解决同震滑坡的空间分布建模。我们分析了意大利中部亚平宁山脉 11 次历史和近期正常断层地震的数据集。首先，利用核密度估计器方法，我们在近期和历史地震的组合数据集上计算了受滑坡影响的最大面积范围 (A; km 2 ) 与 Mw 之间的回归：Log A = (1.0397 Mw )–3.9288。然后，仅针对最近发生的地震，我们分析了滑坡密度（Dens；滑坡数/km 2 ）与地表断层轨迹距离（Dfault；米）的衰减回归：Dens = 0.3661 × exp（- 5.053 Dfault）。历史事件，仍然系统地呈现滑坡密度的较低值，可以在相同的函数形式上回归，导致类似的距离衰减因子，但具有不同的缩放因子。因此，我们认为，如果存在记录良好的目录并且可以对最近发生的几个事件进行校准，则可以成功地将历史地震引发的滑坡的经验回归导出到其他地方。