Keywords
volcanes de pequeño volumen
geoestadística
intensidad espacial
procesos puntuales
permutaciones volcanic fields
small-volume volcanoes
geostatistics
spatial intensity
point pattern analyses
permutations
How to Cite
Abstract
Small-volume volcanoes are the most abundant in Mexico and worldwide, and tend to cluster in space (volcanic fields). Here, spatial point pattern techniques are applied to compare the behavior of the spatial intensity of the Sierra Chichinautzin and Los Tuxtlas volcanic fields. Spatial intensities are fitted with inhomogeneous Poisson process models. Subsequently, a permutations test with Monte Carlo simulation is applied and a test statistic based on the likelihood ratio of the fitted models is proposed. The results of the permutations test delivered evidence to reject the hypothesis of equality of spatial intensities between the volcanic fields of Sierra Chichinautzin and Los Tuxtlas. The intercept of the fitted model of the Los Tuxtlas volcanic field estimates an intensity (volcanoes per unit area) of 0.42 while the intercept of the fitted model of the intensity of the Sierra Chichinautzin volcanic field was 0.40 units. Alternative statistical methods used in the literature are discussed and their usefulness to answer questions in volcanology are compared.
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