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| Evaluation of the goodness of fit of the species sensitivity distribution fitting function |
| Received:September 24, 2020 |
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| KeyWord:acid soil;cadmium;species sensitivity distribution;fitting function;goodness of fit |
| Author Name | Affiliation | E-mail | | DONG Ming-ming | Agro-Environmental Protection Institute, Ministry of Agriculture and Rural Affairs, Tianjin 300191, China | | | MOU Li-yan | Agro-Environmental Protection Institute, Ministry of Agriculture and Rural Affairs, Tianjin 300191, China | | | QIN Li | Agro-Environmental Protection Institute, Ministry of Agriculture and Rural Affairs, Tianjin 300191, China | ql-tj@163.com | | AN Yi | Agro-Environmental Protection Institute, Ministry of Agriculture and Rural Affairs, Tianjin 300191, China | | | LIN Da-song | Agro-Environmental Protection Institute, Ministry of Agriculture and Rural Affairs, Tianjin 300191, China | |
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| Abstract: |
| 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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