The reconstruction of volcanic landforms is an effective way to assess the construction history and growth rates of volcanic structures and is a useful tool to estimate erosion rates. We propose a simple geometrical approach to reveal the location of the long-term eruption centers and the general shape of eroded volcanoes within the altitudinal range of the input data. This DEM-based approach consists of finding the radial topographic profile of an eroded volcanic landform from its remaining surfaces, by coupling two independent and simple mathematical methods (linear regression and Spearman rank correlation). Here we demonstrate that this simple approach is suitable for circular to elliptical (up to an ellipticity of 0.5) and to some extent for asymmetrical volcanoes, and we apply it to Réunion Island. Our results confirm previous conclusions from geological observations and data requiring more complex instrumentation. We confirm that the center of long-term volcanic activity of Piton des Neiges remained stable for the past 1.4 Myr while Piton de la Fournaise has been migrating eastward for ~300 kyr. Our approach also reveals that Piton des Neiges is the dominant volcano in Réunion and that Piton de la Fournaise is a smaller edifice built on its edge. Moreover, despite the contribution of two other volcanoes in the construction of Réunion, we suggest that the Piton des Neiges has rapidly become the main structure of the whole island and has subsumed the previous volcanic centers . Finally, we use our approach to model the magmatic activity of Piton des Neiges, and suggest a deceleration of its magma emission rate since 2Myrs.

火山地貌重建是评估火山构造的建造历史和增长速度的有效方法，是估算侵蚀率的有用工具。我们提出了一种简单的几何方法来揭示长期喷发中心的位置和输入数据海拔范围内被侵蚀火山的一般​​形状。这种基于 DEM 的方法包括通过耦合两个独立且简单的数学方法（线性回归和 Spearman 等级相关），从其剩余表面找到侵蚀火山地貌的径向地形剖面。在这里，我们证明了这种简单的方法适用于圆形到椭圆形（最高椭圆度为 0.5），并且在某种程度上适用于不对称火山，并将其应用于留尼汪岛。我们的结果证实了之前从地质观测和需要更复杂仪器的数据得出的结论。我们确认 Piton des Neiges 的长期火山活动中心在过去 1.4 Myr 中保持稳定，而 Piton de la Fournaise 一直向东迁移约 300 kyr。我们的方法还表明，Piton des Neiges 是留尼汪岛的主要火山，而 Piton de la Fournaise 是一座建在其边缘的较小的建筑物。此外，尽管其他两座火山对留尼汪岛的建设做出了贡献，但我们认为 Piton des Neiges 已迅速成为整个岛屿的主要结构，并包含了以前的火山中心。最后，我们使用我们的方法来模拟 Piton des Neiges 的岩浆活动，并提出自 2Myrs 以来其岩浆排放速率的减速。