We review some recent development in the theory of spatial extremes related to Pareto Processes and modeling of threshold exceedances. We provide theoretical background, methodology for modeling, simulation and inference as well as an illustration to wave height modelling. This preprint is an author version of a chapter to appear in a collaborative book.

翻译：本文综述了空间极值理论中与帕累托过程及阈值超越建模相关的最新进展。我们提供了理论背景、建模方法、模拟与推断技术，并以海浪高度建模为例进行说明。本预印本为合作著作中某章节的作者版本。