Abstract The genesis, distribution and hazards associated with monogenetic volcanic fields pose particular difficulties derived from their dispersed character. Establishing a relationship between the spatial and the age distributions of volcanic cones is necessary both to understand the nature of monogenetic field formation and evolution and to set supported hazard-assessment criteria. We present here a new method –specifically developed to quantify the degree of age-dependent erosion of individual scoria cones– aimed to estimate the relative ages of undated scoria cones in a monogenetic volcanic field from a contour level morphometric analysis of the field digital elevation model (DEM). This method is based on the hypothesis that age and the degree and type of erosion causing significant morphological changes on scoria cones are markedly correlated. It is assumed that, at the time of their formation, monogenetic volcanoes have diverse, yet smooth shapes, which mechanical processes of wearing gradually change in different spatial scales. This evolution is largely evidenced both as changes of the volcano slopes and as height-dependent undulations of the cone surface generated by the hydrometeorological ablation in the otherwise uniform elevation contour lines. Here, we characterize the time-dependence of the shape and size of the altitude isoline undulations by means of the Elliptical Fourier Descriptor spectra of the contour curves of volcanic cones. To test the effects of the DEM data type and resolution on this morpho-chronological dating, we analyze the correlations of published radiometric ages of cones with two datasets of contour curves from the Sierra Chichinautzin monogenetic volcanic field in Central Mexico (SCVF): one obtained from airborne LIDAR surveys (INEGI, Mexico) and the other from a satellite radar mission (DLR, Germany).

中文翻译：

---

从它们的水平轮廓曲线得到的单基因熔渣锥的形态年代学。在墨西哥中部奇奇纳特辛单基因领域的应用

摘要 与单生火山场相关的成因、分布和危害因其分散性而造成特别困难。建立火山锥的空间分布和年龄分布之间的关系对于了解单发生场形成和演化的性质以及制定受支持的灾害评估标准都是必要的。我们在此提出了一种新方法——专门开发用于量化单个火山渣锥的年龄相关侵蚀程度——旨在通过现场数字高程模型的等高线级形态测量分析来估计单一火山场中未标注日期的火山渣锥的相对年龄(DEM)。该方法基于这样的假设，即年龄与导致火山渣锥体显着形态变化的侵蚀程度和类型显着相关。据推测，单生火山在形成时具有多样而光滑的形状，其磨损的机械过程在不同的空间尺度上逐渐变化。这种演变在很大程度上证明为火山坡度的变化和由水文气象消融在其他均匀的高程等高线中产生的锥体表面的高度相关波动。在这里，我们通过火山锥等高线曲线的椭圆傅里叶描述符谱来表征高度等值线起伏形状和大小的时间依赖性。