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利用改进的 DRASTIC 模型进行地下水脆弱性制图:元启发式算法方法。

Groundwater vulnerability mapping using the modified DRASTIC model: the metaheuristic algorithm approach.

机构信息

Centre for Water Resources, Anna University, Chennai, 600025, India.

出版信息

Environ Monit Assess. 2021 Jan 3;193(1):25. doi: 10.1007/s10661-020-08787-0.

DOI:10.1007/s10661-020-08787-0
PMID:33389229
Abstract

Vulnerability assessment and mapping is a significant tool for sustainable management of the precious natural groundwater resources. DRASTIC is an extensively used index model to map groundwater vulnerable zones. However, the original DRASTIC model rates and weights used in most of the research depict the poor correlation between nitrate concentration and groundwater vulnerability index. Wilcoxon test and five population-based metaheuristic (MH) algorithms, namely, firefly algorithm (FA), invasive weed optimization (IWO), teaching learning-based optimization (TLBO), shuffled frog leaping algorithm (SFLA), and particle swarm optimization (PSO), were used to optimize the rates and weights of the DRASTIC model to improve its accuracy. The performance of all the employed metaheuristic algorithms converges to a global optimal solution at different iterations, and to choose the best algorithm for DRASTIC weights optimization, a ranking methodology was proposed. The algorithms were ranked by calculating the relative closeness of alternatives with computational speed and the number of iterations as attributes in the TOPSIS method. This study identifies FA as the outperforming algorithm among the employed for this specified weight optimization problem based on ranking. The result of the optimization model proposed depicts significant improvement in the correlation coefficient between the groundwater vulnerability index and nitrate concentration from 0.0545 for the original DRASTIC model to 0.7247 for the Wilcoxon-MH- DRASTIC. Hence, this ranking approach can be adopted when global optimal solution is found by all employed algorithms in DRASTIC weight optimization.

摘要

脆弱性评估和制图是可持续管理宝贵的天然地下水资源的重要工具。DRASTIC 是一种广泛用于绘制地下水脆弱带的指数模型。然而,大多数研究中使用的原始 DRASTIC 模型的评分和权重与硝酸盐浓度和地下水脆弱性指数之间的相关性较差。Wilcoxon 检验和五种基于种群的元启发式(MH)算法,即萤火虫算法(FA)、入侵杂草优化(IWO)、基于教学的优化(TLBO)、随机蛙跳算法(SFLA)和粒子群优化(PSO),用于优化 DRASTIC 模型的评分和权重,以提高其准确性。所有使用的元启发式算法的性能在不同的迭代中都收敛到全局最优解,为了选择用于 DRASTIC 权重优化的最佳算法,提出了一种排名方法。该算法通过计算替代方案的相对接近度,以计算速度和迭代次数作为 TOPSIS 方法中的属性,对算法进行排名。根据排名,本研究确定 FA 是在针对该特定权重优化问题的所使用算法中表现最好的算法。与原始 DRASTIC 模型的 0.0545 相比,所提出的优化模型的结果表明,地下水脆弱性指数与硝酸盐浓度之间的相关系数显著提高,达到 0.7247。因此,当所有使用的算法在 DRASTIC 权重优化中找到全局最优解时,可以采用这种排名方法。

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