| 董明明,牟力言,秦莉,安毅,林大松.物种敏感性分布法拟合函数的拟合优度评价[J].农业环境科学学报,2021,40(3):544-551. |
| 物种敏感性分布法拟合函数的拟合优度评价 |
| Evaluation of the goodness of fit of the species sensitivity distribution fitting function |
| 投稿时间：2020-09-24 |
| DOI：10.11654/jaes.2020-1122 |
| 中文关键词: 酸性土壤 镉 物种敏感性分布 拟合函数 拟合优度 |
| 英文关键词: acid soil cadmium species sensitivity distribution fitting function goodness of fit |
| 基金项目:国家自然科学基金项目（41877403） |
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| 摘要点击次数: 1326 |
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| 中文摘要: |
| 为明确物种敏感性分布（SSD）法适用于酸性土壤条件下的最优拟合函数，以均方根（RMSE）和残差平方和（SSE）为评价指标，系统分析了不同pH和累积概率条件下5种常见拟合函数（Log-logistic、Gamma、Log-normal、Weibull和Burr Ⅲ）的拟合优度。研究表明：两种pH条件（pH 5.5和pH 6.5）下5种拟合函数的拟合优度无明显差异，其中Log-logistic、Burr Ⅲ函数的SSE值分别为0.021、0.024和0.169、0.191，RMSE值分别为0.038、0.040和0.106、0.113，两者拟合效果较好；但不同累积概率条件下拟合函数的拟合优度存在一定差异，其中低累积概率（p≤20%）条件下Log-logistic与Gamma的SSE值分别为2.45×10-4和2.46×10-4，RMSE值分别为4.04×10-3和4.05×10-3，两者拟合效果较好；中累积概率（20%<p≤80%）条件下Log-logistic与Log-normal的SSE值分别为0.018和0.021，RMSE值分别为0.034和0.037，两者拟合效果较好；而高累积概率（p>80%）条件下Burr Ⅲ与Log-logistic的SSE值分别为0.151和0.203，RMSE值分别为0.100和0.116，两者拟合效果较好。研究表明，酸性土壤（pH≤6.5）中低、中累积概率（0≤p≤80%）条件下优先推荐使用Log-logistic拟合函数，而高累积概率（p>80%）条件下优先推荐使用Burr Ⅲ拟合函数。 |
| 英文摘要: |
| To utilize the optimal fitting function of the species sensitivity distribution(SSD) method for acidic soil conditions, this study uses the root mean square error(RMSE) and the sum of squares for error(SSE) as evaluation indicators to systematically analyze the goodness of fit of five common fitting functions(i. e., Log-logistic, Gamma, Log-normal, Weibull, and Burr Ⅲ) under conditions of cumulative probability and different pH. The study have shown that there is no significant difference in the goodness of fit of the five fitting functions under two pH conditions(pH=5.5 and pH=6.5), among which the SSE values of Log-logistic and Burr Ⅲ functions are 0.021, 0.024 and 0.169, 0.191, respectively, whereas RMSE values of the two functions are 0.038, 0.040 and 0.106, 0.113, respectively, the fitting effect for the two functions is better. But the goodness of fit of the fitting function under different cumulative probability conditions is different, under conditions of low cumulative probability(p ≤ 20%), the SSE values of Log-logistic and Gamma are 2.45×10-4 and 2.46×10-4, and the RMSE values of the two functions are 4.04×10-3 and 4.05×10-3, respectively, and the fitting effect for the two functions is better. Under conditions of cumulative probability(20%<p ≤ 80%), the SSE values of Log-logistic and Log-normal are 0.018 and 0.021, and the RMSE values are 0.034 and 0.037, respectively, and the fitting effect of the two functions is better. Under conditions of high cumulative probability(p>80%), the SSE values of Burr Ⅲ and Log-logistic are 0.151 and 0.203, and the RMSE values of the two functions are 0.100 and 0.116, respectively, and the fitting effect of the two functions is better. Based on the above results, the Log-logistic fitting function is preferred under acidic soil conditions(pH ≤ 6.5) with low and medium cumulative probability(0 ≤ p ≤ 80%), and Burr Ⅲ fitting function is preferred under conditions of high cumulative probability(p>80%) |
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