Zhang Ming, Zhou Jinghong, Zhou Runjuan
School of Civil Engineering, Anhui Polytechnic University, Wuhu 241000, China.
Entropy (Basel). 2018 Sep 18;20(9):715. doi: 10.3390/e20090715.
The sustainability of regional water resources has important supporting data needed for establishing policies on the sustainable development of the social economy. The purpose of this paper is to propose an assessment method to accurately reflect the sustainability of regional water resources in various areas. The method is based on the relative entropy of the information entropy theory. The steps are as follows. Firstly, the pretreatment of the evaluation sample data is required, before the relative entropy of each standard evaluation sample and evaluation grade () is calculated to obtain the entropy weight of each evaluation index. After this, the entropy weighted comprehensive index () of the standard evaluation grade sample is obtained. The function relation between and can be fitted by the cubic polynomial to construct the evaluation function. Using the above steps, a generalized entropy method (GEM) for the sustainable assessment of regional water resources is established and it is used to evaluate the sustainability of water resources in the Pingba and Huai River areas in China. The results show that the proposed GEM model can accurately reflect the sustainable water resources in the two regions. Compared with the other evaluation models, such as the Shepherd method, Artificial Neural Network and Fuzzy comprehensive evaluation, the GEM model has larger differences in its evaluation results, which are more reasonable. Thus, the proposed GEM model can provide scientific data support for coordinating the relationship between the sustainable development and utilization of regional water resources in order to improve the development of regional population, society and economy.
区域水资源可持续性具有社会经济可持续发展政策制定所需的重要支撑数据。本文旨在提出一种能准确反映各地区区域水资源可持续性的评估方法。该方法基于信息熵理论的相对熵。步骤如下：首先，需要对评价样本数据进行预处理，计算各标准评价样本与评价等级（）的相对熵，以获得各评价指标的熵权。此后，得到标准评价等级样本的熵权综合指标（）。与的函数关系可用三次多项式拟合以构建评价函数。利用上述步骤，建立了区域水资源可持续性评估的广义熵方法（GEM），并用于评价中国平坝和淮河地区的水资源可持续性。结果表明，所提出的GEM模型能准确反映这两个地区的水资源可持续性。与其他评价模型，如谢泼德方法、人工神经网络和模糊综合评价相比，GEM模型的评价结果差异更大，更为合理。因此，所提出的GEM模型可为协调区域水资源可持续开发利用关系提供科学数据支持，以促进区域人口、社会和经济发展。
