基于联合多重分形的土壤微量元素协同克立格研究

项目名称： 基于联合多重分形的土壤微量元素协同克立格研究

项目编号： No.41201212

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 地理学

项目作者： 张法升

作者单位： 中国科学院沈阳应用生态研究所

项目金额： 26万元

中文摘要： 土壤性状及过程空间变异与尺度转化研究可以回答"如何实现不同尺度上土壤特性参数和过程相互转换"的科学问题。土壤特性与环境因子空间分布相关关系的尺度效应常常影响协同克立格（Cokriging）方法空间预测能力。本研究拟采用联合多重分形（谱）模型量化土壤微量元素与环境因子空间分布相关关系尺度效应，通过建立基于奇异性指数相关分析的协同变异函数模型优化Cokriging空间预测能力。目的从多尺度上理解土壤微量元素与环境因子空间分布相关性，揭示土壤微量元素与环境因子空间分布相关关系尺度效应在Cokriging研究中实践意义，继而提出基于联合多重分形技术的Cokriging方法，为土壤性状及过程（微量元素）空间变异与尺度转换研究提供理论和技术支撑。

中文关键词： 多重分形；Kriging；尺度效应；变异函数；相关性

英文摘要： Spatial variability and scaling analysis of soil properties and processes can answer the question how to execute the transformation of soil property parameters and processes across spatial scales. The scaling relationships between soil properties and environmental factors usually restrain the spatial prediction capability of the Cokriging method. In this study, we will quantify the scaling relationships between the spatial distributions of soil micronutrients and environmental factors through joint multifractal (spectrum) modeling. In addition, we develop a cross semi-variogram model to improve the spatial prediction capability of the Cokriging method based on correlation analysis of the singularity index. The objectives of this study are: to understand the relationships between soil micronutrients and environmental factors at multiple spatial scales; to reveal the practical significance of scaling relationships in the Cokriging analysis, and; to present a joint multifractal-based Cokriging approach, which can provide theoretical and technical support for spatial variability and scaling analysis of soil properties and processes(e.g. micronutrient levels).

英文关键词： Multifractal；Kriging；scaling effect；variogram；correlation