基于贝叶斯理论的国土空间生态修复属性图谱图像关系研究

Research on relationship of attribute mapping images of territorial space ecological restoration based on Bayesian theory

以国土空间生态修复的理论内涵为基础,梳理其关键属性逻辑,并建立评价指标体系,运用模糊综合评价法对31个省级样本进行了评测,在此基础上采用数理推导和贝叶斯概率法推演了图谱图像关系。结果表明:(1)国土空间生态修复涵盖国土生态修复和空间生态修复双重内容,具有资源、资产和资本属性特征;(2)国土空间生态修复的资源、资产和资本属性之间存在线性和幂两种典型的图谱图像状态,三属性之间具有25种谱像关系;(3)资源、资产和资本属性之间具有6种类型的贝叶斯条件架构,先验概率中“资本性总量≥资产性总量≥资源性总量”条件架构体现了最高成效,图谱图像关系中有条件的线性函数图像Ⅱ的后验概率最高(75.51%);(4)以区域全部国土空间为资源属性的基础,通过国土生态修复和空间生态修复实现“资本≥资产≥资源”属性总量的交互转化状态,是三属性关系优化的重要方向。研究显示,国土空间生态修复的三属性之间存在多种函数谱像关系,充分认识图谱图像规律及其贝叶斯条件概率分布,有利于优化实践模式并提升综合成效。

This paper took the theoretical connotation of territorial space ecological restoration as the basis,combed the logic of its key attributes.It also established the evaluation index system and applied the fuzzy comprehensive evaluation method to evaluate 31 provincial samples across the country.On this basis,mathematical derivation and Bayesian probabilistic method were employed to deduce the mapping image relationship.The research showed that:①Territorial space ecological restoration covered the dual connotation of land ecological restoration and space ecological restoration,and it was characterized by resource,asset and capital attributes.②There existed two kinds of map-image states,linear and power,among the resource,asset and capital attributes of territorial space ecological restoration,with 25 typical map-image relationships among the three attributes.③There were six types of Bayesian conditional structures among resource,asset and capital attributes,and the conditional structure of“total capital≥total asset≥total resource”in the prior probability reflects the highest effectiveness.The highest a posteriori probability was 75.51%for the conditional linear function image II in the mapping image relationship.④Based on the resource attributes of all the land space in the region,it was an important direction to optimize the three attribute relationships by realizing the interactive transformation of the attribute totals of“capital≥asset≥resource”through land ecological restoration and spatial ecological restoration.The study showed that there were multiple spectral relationships among the three attributes of land and space ecological restoration,and a full understanding of the graphical pattern and its Bayesian conditional probability distribution was conducive to the optimization of practical ideas and the enhancement of comprehensive effectiveness.