基于韦伯-费希纳定律的营养状态普适韦伯指数公式

A universal Weber exponential formula on eutrophic state based on Weber-Fischna law

在适当设定各营养状态指标"参照值"Cj0的基础上,用相应于"参照值"Cj0的指标"规范值"xj作为基于韦伯-费希纳定律的营养状态指数公式中的刺激量.由于各项指标的同级营养状态标准的"规范值"xjl差异不大,从而可认为各指标的营养状态韦伯指数公式都具有一个共同适用的韦伯常数α,并采用智能解域搜索算法优化α,得出对所有14项营养指标皆适用的营养状态普适韦伯指数公式.将营养状态韦伯指数公式应用于数十个湖泊的富营养化评价,并与其它多种方法的评价结果进行比较,结果表明该公式不但理论依据充分,而且具有简单、适用的特点.

By setting up ‘benchmarks value’ Cj0 of eutrophic state indexes,the ‘normalized value’ xj of index value corresponding to ‘benchmarks value’ Cj0 was taken as the contamination stimulus amounts in the eutrophic state exponential formula based on W-F law.The Weber exponential formula of each index was regarded as equivalence to a Weber exponential pollutant formula with common suited Weber’s constant α,because no differences of ‘normalized value’ xjl were found on the same class standard of eutrophic state for all indexes.Intellectual Solution Space Search Algorithm（ISSS） was used for optimizing Weber constant α in the formula.The optimized universal formula was suited to 14 items of eutrophic indexes.Compared with the results of other methods,it can be used for eutrophic evaluations of dozens of lakes.It showed that the universal Weber exponential formula on eutrophic state had not only solid theoretical basis,but also simple,practical characteristics.