• 关键词：富营养化  综合评价  对数变换  协调性  区间数

• 基金项目：

• 张亦飞
• 国家海洋局第二海洋研究所, 杭州 310012

• 摘要：湖泊富营养化程度评价标准中同一评价指标的分级界点值差异很大,近似地呈现指数变化.基于该认识,提出了1个基于指标协调性的湖泊富营养化综合评价模型.对评价标准及待评湖泊监测值进行对数变换,改善了评价指标值的协调性,降低了评价系统的非线性化程度;在定义待评湖泊各监测指标与富营养化标准各级别之间距离测度的基础上,按评价指标协调性要求构造评价函数;鉴于评价标准为区间数的实际情况,采用区间数计算待评湖泊与各级标准的相对距离测度,并按距离测度值的大小进行湖泊富营养化状态分类.该模型建模思路清晰,物理意义明确,计算过程简

• Abstract：There are big differences among the boundary data of the same indicator in the control standards of lake eutrophication. Values of boundary data can increase nearly exponentially. Based on the above consideration, a novel model is proposed for comprehensive evaluation of lake eutrophication. Logarithmic transformations are taken on both the boundary data of the indicators and the monitoring data of the lake to be evaluated, which improves the coordination among the indicators and decreases the non-linearity of the evaluation system. On the basis of defining relative distance measures between the eutrophication standard's boundary values and the monitored data of the lake, one evaluation function is constructed by taking account of the coordination among the indicators. Considering the practical situation of the control standard, interval number calculations are taken to find the relative distance measures and classification is done according to the relative distance measures' values to define the degree of lake eutrophication. This model is recommended for its clear modeling, tangible physical significance and simple calculations. Results of calculations for five example lakes show that the proposed model is concise, stable and practical.

• Key words：eutrophication  comprehensive evaluation  logarithmic transformation  coordination  interval numbers

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