Optimization of mathematical models for thematic maps

The thematic map is a major class of maps designed to demonstrate particular features or concepts, functioning as an indispensable tool in geographical research. The process of thematic mapping is one into which geographical research goes deeply and broadly. The key activity and course of thematic map production is the use of mathematical models to create thematic data layers. Therefore, the selection and optimization of mathematical models is in the forefront of thematic map research. The theoretical foundations, mechanisms and methods of mathematical model optimization are expounded in this paper, including two approaches, the phase by phase mode and the multi-aim scheme balance mode. Case studies in eco-environment mapping and emergency mapping are described and analyzed, with a hierarchical analysis method being used in the model optimization for eco-environment fragility and sensitivity assessment mapping in Beibuwan (Guangxi) District, the dynamic system (DS) method being used in the model optimization for ecological security adjustment mapping in Xishuang Banna, Yunnan province, and the multi-phase mode being used in the models for forest fire and infectious diseases mapping.