基于模糊Borda组合模型评价番茄产量及品质对水肥供应响应
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国家自然科学基金(51279169);国家“十二五”863计划项目(2011AA100504)


Response of tomato yield-quality evaluated by fuzzy Borda combined model to irrigation and fertilization supply
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    摘要:

    为构建番茄产量-品质组合评价模型,分析综合评价值对水肥供应的响应,该文采用温室番茄五元二次通用旋转组合设计的水肥试验数据,选取番茄可溶性糖、可溶性固形物、可滴定酸、番茄红素、维生素C、糖酸比6个品质指标及产量数据作为评价指标。研究表明:主成分分析法、隶属函数法、基于组合赋权的TOPSIS模型和灰色关联度法4种单一评价方法的评价值排名存在明显的不一致性;在Kendall-W协和系数事前检验的基础上,运用Broda法、Copeland法、模糊Borda法和基于整体差异的组合评价方法,构建番茄产量-品质组合评价模型。事后检验表明,针对32个处理,4种组合评价模型与各单一评价方法的排序值具有很好的相关性,以模糊Borda组合评价模型表现最优。进一步,根据模糊Broda组合评价模型的番茄产量-品质综合评价指标与水肥用量间的回归模型,各因子的主效应表现为:施氮量≥灌水量>有机肥用量>施磷量>施钾量。其他因素为中间水平时,番茄产量-品质评价值随灌水量、施氮量、施磷量或有机肥用量的增加呈开口向下的抛物线变化,随施钾量无显著变化。而且,灌水量和有机肥用量存在负交互作用,施氮量和施磷量为正交互作用,表明灌水量过高不利于番茄产量-品质的提高,合理增施有机肥及氮、磷肥可有效提高番茄的产量和品质。该试验条件下,将灌水量、有机肥及氮、磷、钾肥用量依次控制为488.3~508.7 mm、19.3~21.8 t/hm2、498.4~565.6 kg/hm2、399.7~447.1 kg/hm2、698.1~777.9 kg/hm2,可望获得较高的番茄产量,同时兼具较高的品质

    Abstract:

    Abstract: The combination evaluation method is widely used in many fields, while rarely in agriculture, especially in the management of water and fertilizer supply in tomato plants. This study was to establish a combined evaluation model of tomato yield-quality and to explore its response to water and fertilizer supply. Tomato were grown in greenhouse from Sep. 2014 to Jul. 2015 in Yangling, Shaanxi, China (108.07 °E, 34.26 °N). The experiment was designed based on a 5-D quadratic rotation combination with factors including irrigation amount, nitrogen fertilizer rate, phosphorus fertilizer rate, potassium fertilizer rate and manure rate, resulting in 32 treatments. Tomato yield and quality parameters, i.e. the content of soluble solid, soluble sugar, titratable acid, lycopene, vitamin C in tomato fruit and ratio of sugar to acid were determined. Tomato yield and quality were comprehensively evaluated by principle component analysis (PCA), grain regression analysis (GRDA), membership function analysis (MFA) and technique for order performance by similarity to ideal solution model based on portfolio weighting (TOPSIS-CW). After then, Kendall-W concordance coefficient pre-test was conducted, and 4 combined evaluating models for tomato yield-quality was established using the methods of Broda, Copeland, fuzzy Borda and combined evaluation method based on overall difference, respectively. Spearman level correlation coefficient test method was used to test the above 4 combined evaluating methods for post-test. The result showed that the rank of the comprehensive value for the experiment treatments was inconsistent among 4 single evaluation methods, and the standard deviations of the ranking values varied from 0 to 6.85. However, the correlation coefficient between the evaluation value of each single model and the other 3 varied from 0.605 to 0.812, indicating a certain correlation between the results of single models existed. Additionally, pre-test was passed with high Kendall-W concordance coefficient (0.916) showing the 4 methods were of compatibility. Post-test indicated that ranking values of the 4 combined evaluating models were in good correlation with that of the 4 single evaluation methods (with correlation coefficients 0.920-0.952), especially for fuzzy Broda combined evaluating model. Furthermore, mathematical model between tomato yield-quality comprehensive index and amount of irrigation and fertilization supply was established. The main effect of each factor and coupling effect of 2 factors were analyzed. By calculating the amplitude of the function, the importance of each factor to the comprehensive value was well illustrated. The influence of nitrogen fertilizer (evaluation value 155.90) on the comprehensive value was top-drawer, followed by irrigation (evaluation value 154.36), manure fertilizer (133.79), phosphorus (evaluation value 92.95) and potassium fertilizer (evaluation value 0). The comprehensive value changed as downwards parabola with the increased rate of irrigation, nitrogen, phosphorus or manure fertilizer, while was not affected by potassium fertilizer rate. Additionally, negative interaction between irrigation and manure fertilizer (with interaction coefficient -30.29), and positive interaction between nitrogen and phosphorus fertilizer (with interaction coefficient 32.70) were observed, showing evaluation value increased then decreased by the increased rate of manure fertilizer irrespective of irrigation amount, indicating excessive amount of irrigation was not beneficial to the enhancement of tomato yield-quality comprehensive value, but reasonable application of manure fertilizer, nitrogen and phosphorus fertilizer could promote the comprehensive yield and quality. In this study, tomato yield and quality were expected to be superior when the amount of irrigation, manure fertilizer, nitrogen, phosphorus and potassium fertilizer were 488.3-508.7 mm,19.3-21.8 t/hm2,498.4-565.6 kg/hm2,399.7-447.1 kg/hm2 and 698.1-777.9 kg/hm2, respectively. It is still a scientific problem to be worthy further studied to establish a proper evaluation model to assess and guide the management of water and fertilizer application in tomato production by selecting appropriate evaluation indices. The results from the combined evaluation model in this study provide novel knowledge for integrated assessment of water and fertilizer effect in tomato production

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胡田田,何琼,洪霞,刘杰,李鸿祥,冯璞玉,王丽,杨硕欢.基于模糊Borda组合模型评价番茄产量及品质对水肥供应响应[J].农业工程学报,2019,35(19):142-151. DOI:10.11975/j. issn.1002-6819.2019.19.017

Hu Tiantian, He Qiong, Hong Xia, Liu Jie, Li Hongxiang, Feng Puyu, Wang Li, Yang Shuohuan. Response of tomato yield-quality evaluated by fuzzy Borda combined model to irrigation and fertilization supply[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE),2019,35(19):142-151. DOI:10.11975/j. issn.1002-6819.2019.19.017

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  • 收稿日期:2019-02-26
  • 最后修改日期:2019-07-10
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  • 在线发布日期: 2019-10-23
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