融合镁元素的水肥多因子耦合对黄瓜综合营养品质的调控

doi:10.3864/j.issn.0578-1752.2019.18.017

摘要/Abstract

摘要： 目的研究融合镁元素的水肥耦合对黄瓜综合营养品质的影响,为黄瓜高品质生产提供水肥管理依据。方法以灌水量的灌溉上限占田间持水量的百分比（X₁）、施氮量（X₂）、施钾量（X₃）、施镁量（X₄）为试验因素,选用四因子五水平正交旋转组合1/2实施的方法,测定可溶性蛋白、游离氨基酸、可溶性糖、还原性糖、维生素C、硝酸盐6项指标的含量,采用AHP层次分析法、熵权法和基于博弈论的组合赋权法对各项指标赋权,并基于TOPSIS法构建黄瓜果实综合营养品质评价体系;在此基础上,进行回归分析建立黄瓜果实综合营养品质对水肥耦合响应的数学模型。结果单一指标权重为：维生素C（0.2457）>还原性糖（0.2305）>游离氨基酸（0.1666）>可溶性糖（0.1390）>可溶性蛋白（0.1179）>硝酸盐（0.1003）;分析表明,在四因子耦合作用下,当施镁量为176.54—182.23 kg?hm ^-2、灌水量的灌溉上限占田间持水量的百分比为65.71%—67.61%、施氮量为490.78—512.16 kg?hm ^-2、施钾量为591.00—608.11 kg?hm ^-2时,黄瓜综合营养品质最好。结论水肥耦合对黄瓜综合营养品质具有显著影响,适当控制灌水量和施氮量、增加施镁量和施钾量对黄瓜综合营养品质的提高具有积极作用。

关键词: 黄瓜, 水肥耦合, 综合营养品质, 正交旋转, 镁元素

Abstract:

【Objective】 To provide a scientific basis of water and fertilizer management for high quality in cucumber production, this research aimed to analyze the effects of water-fertilizer coupling with magnesium on the comprehensive nutritional quality of cucumber. 【Method】 A design of composite quadratic orthogonal regressive rotation with four factors and five levels was adopted to characterize the experimental variables, such as the percentage of irrigation upper limit to field water holding capacity (X₁), nitrogen application rate (X₂), potassium application rate (X₃) and magnesium application rate (X₄). The contents of soluble protein, free amino acid, soluble sugar, reducing sugar, vitamin C and nitrate were determined, and these six quality indicators were weighted according to AHP analytic hierarchy process, entropy weighting method and game-based combination weighting method, and then the comprehensive nutrition quality evaluation system of cucumber fruit was constructed based on TOPSIS method. Also, the response model of cucumber comprehensive nutritional quality to the coupling of water and fertilizer was established by regression analysis. 【Result】 The weights of single indicators were expressed as: vitamin C (0.2457)> reducing sugar (0.2305)> free amino acid (0.1666)> soluble sugar (0.1390)> soluble protein (0.1179)> nitrate (0.1003). Regarding the four-factor coupling, when the combination of factors were optimized as with magnesium application of 176.54-182.23 kg?hm ^-2, the upper limit of irrigation amount accounted of 65.71%-67.61%, the nitrogen application of 490.78-512.16 kg?hm ^-2and potassium application of 591.00-608.11 kg?hm ^-2, the comprehensive nutritional quality of cucumber reached to the best level. 【Conclusion】 Water-fertilizer coupling had a significant effect on the comprehensive nutritional quality of cucumber. Proper control of irrigation and nitrogen application, increase of magnesium and potassium application had a positive effect on the improvement of cucumber comprehensive nutritional quality.

Key words: cucumber, water and fertilizer coupling, comprehensive nutritional quality, orthogonal rotation, magnesium element

朱常安,和志豪,蔡泽林,刘健飞,张智. 融合镁元素的水肥多因子耦合对黄瓜综合营养品质的调控[J]. 中国农业科学, 2019, 52(18): 3258-3270.

ZHU ChangAn,HE ZhiHao,CAI ZeLin,LIU JianFei,ZHANG Zhi. Regulation of Comprehensive Nutritional Quality of Cucumber by Water and Fertilizer Coupling with Magnesium[J]. Scientia Agricultura Sinica, 2019, 52(18): 3258-3270.

图/表 11

表1

表2

图1

Table 3

表4

表5

表6

图2

图3

图4

图5

参考文献 54

[1]	王朝辉, 宗志强, 李生秀, 陈宝明 . 蔬菜的硝态氮累积及菜地土壤的硝态氮残留. 环境科学, 2002,23(3):79-83.
	WANG C H, ZONG Z Q, LI S X, CHEN B M . Nitrate accumulation in vegetables and its residual in vegetable fields. Environmental Science, 2002,23(3):79-83. (in Chinese)
[2]	WANG Y, ZHANG Y P . Quantitative effect of soil texture composition on retardation factor of K + transport . Pedosphere, 2001,11(4):377-382.
[3]	王鹏勃, 李建明, 丁娟娟, 刘国英, 潘铜华, 杜清洁, 常毅博 . 水肥耦合对温室袋培番茄品质、产量及水分利用效率的影响. 中国农业科学, 2015,48(2):314-323. doi: 10.3864/j.issn.0578-1752.2015.02.11
	WANG P B, LI J M, DING J J, LIU G Y, PAN T H, DU Q J, CHANG Y B . Effect of water and fertilizer coupling on quality, yield and water use efficiency of tomato cultivated by organic substrate in bag. Scientia Agricultura Sinica, 2015,48(2):314-323. (in Chinese) doi: 10.3864/j.issn.0578-1752.2015.02.11
[4]	符娜, 刘小刚, 杨启良 . 设施蔬菜水肥高效调控的研究进展. 安徽农业科学, 2013,41(31):12314-12316, 12331.
	FU N, LIU X G, YANG Q L. Research progress on efficient regulation of water and fertilizer on facilities vegetable. Journal of Anhui Agricultural Sciences, 2013, 41(31): 12314-12316+12331. (in Chinese)
[5]	高鹏, 简红忠, 魏样, 何文, 王晓峰 . 水肥一体化技术的应用现状与发展前景. 现代农业科技, 2012(8):250-257.
	GAO P, JIAN H Z, WEI Y, HE W, WANG X F . The application status and development prospect of integrative water and fertilizer. Modern Agricultural Science and Technology, 2012(8):250-257. (in Chinese)
[6]	蒋静静, 屈锋, 苏春杰, 杨剑锋, 余剑, 胡晓辉 . 不同肥水耦合对黄瓜产量品质及肥料偏生产力的影响. 中国农业科学, 2019,52(1):86-97. doi: 10.3864/j.issn.0578-1752.2019.01.009
	JIANG J J, QU F, SU C J, YANG J F, YU J, HU X H . Effects of different water and fertilizer coupling on yield and quality of cucumber and partial factor productivity of fertilizer. Scientia Agricultura Sinica, 2019,52(1):86-97. (in Chinese) doi: 10.3864/j.issn.0578-1752.2019.01.009
[7]	王丽学, 李振华, 姜熙, 孟维忠, 陈伟 , SHAIKH Abdullah AI Mamun Hossain. 不同水肥条件对温室黄瓜生长及产量品质的影响. 沈阳农业大学学报, 2019,50(1):78-86.
	WANG L X, LI Z H, JIANG X, MENG W Z, CHEN W, SHAIKH A A M H. Effects of different water and fertilizer conditions on growth, yield and quality of greenhouse cucumber. Journal of Shenyang Agricultural University, 2019,50(1):78-86. (in Chinese)
[8]	邢英英, 张富仓, 张燕, 李静, 强生才, 吴立峰 . 滴灌施肥水肥耦合对温室番茄产量、品质和水氮利用的影响. 中国农业科学, 2015,48(4):713-726. doi: 10.3864/j.issn.0578-1752.2015.04.09
	XING Y Y, ZHANG F C, ZHANG Y, LI J, QIANG S C, WU L F . Effects of irrigation and fertilizer coupling on greenhouse tomato yield, quality, water and nitrogen utilization under fertigation. Scientia Agricultura Sinica, 2015,48(4):713-726. (in Chinese) doi: 10.3864/j.issn.0578-1752.2015.04.09
[9]	RAHIL M H, QANADILLO A . Effects of different irrigation regimes on yield and water use efficiency of cucumber crop. Agricultural Water Management, 2015,148:10-15.
[10]	GHOLAMHOSEINI M, HABIBZADEH F, ATAEI R, HEMMATI P, EBRAHIMIAN E . Zeolite and hydrogel improve yield of greenhouse cucumber in soil-less medium under water limitation. Rhizosphere, 2018,6:7-10.
[11]	MAO X S, LIU M Y, WANG X Y, LIU C M, HOU Z M, SHI J Z . Effects of deficit irrigation on yield and water use of greenhouse grown cucumber in the North China Plain. Agricultural Water Management, 2003,61(3):219-228.
[12]	吴现兵, 白美健, 李益农, 章少辉, 史源 . 蔬菜水肥一体化研究进展分析. 节水灌溉, 2019(2):121-124.
	WU X B, BAI M J, LI Y N, ZHANG S H, SHI Y . Research summary about the technology of fertigation for vegetables. Water Saving Irrigation, 2019(2):121-124. (in Chinese)
[13]	王辉民 . 日光温室栽培年限对土壤离子平衡影响及番茄镁肥施用效应研究. 杨凌: 西北农林科技大学, 2016.
	WANG H M . Effects of greenhouse cultivation years on soil Ion balance and applying magnesium fertilizer on tomato. Yangling: Northwest A&F University, 2016. (in Chinese)
[14]	KARLEY A J, WHITE P J . Moving cationic minerals to edible tissues: potassium, magnesium, calcium. Current Opinion in Plant Biology, 2009,12(3):291-298.
[15]	李涛, 于蕾, 吴越, 万广华, 李建伟 . 山东省设施菜地土壤次生盐渍化特征及影响因素. 土壤学报, 2018,55(1):100-110.
	LI T, YU L, WU Y, WAN G H, LI J W . Secondary salinization of greenhouse vegetable soils and its affecting factors in Shandong province, China. Acta Pedologica Sinica, 2018,55(1):100-110. (in Chinese)
[16]	GUO W L, NAZIM H, LING Z S, YANG D F . Magnesium deficiency in plants: An urgent problem, The Crop Journal, 2016,4(2):83-91.
[17]	VERBRUGGEN N, HERMANS C . Physiological and molecular responses to magnesium nutritional imbalance in plants. Plant and Soil, 2013,368(1):87-99.
[18]	段法尧, 夏连胜, 郑兆乾, 李文香 . 钙镁互作对甘蓝产量和品质的影响. 陕西农业科学, 2007(6):31-33.
	DUAN F Y, XIA L S, ZHENG Z Q, LI W X . Effects of calcium and magnesium interaction on yield and quality of cabbage. Shanxi Journal of Agricultural Sciences, 2007(6):31-33. (in Chinese)
[19]	丁玉川, 焦晓燕, 聂督, 李丽君, 黄明镜 . 不同氮源与镁配施对甘蓝产量、品质和养分吸收的影响. 中国生态农业学报, 2012,20(8):996-1002.
	DING Y C, JIAO X Y, NIE D, LI L J, HUANG M J . Effects of combined application of different nitrogen sources and magnesium fertilizers on cabbage yield, quality and nutrient uptake. Chinese Journal of Eco-Agriculture, 2012,20(8):996-1002. (in Chinese)
[20]	李国良, 姚丽贤, 付长营, 何兆桓, 涂仕华 . 香蕉钾镁配施效应研究. 广东农业科学, 2007(1):45-47.
	LI G L, YAO L X, FU C Y, HE Z H, TU S H . Study on the effect of combined K-Mg fertilization on banana. Guangdong Agricultural Sciences, 2007(1):45-47. (in Chinese)
[21]	李士敏, 朱富强, 刘方, 何腾兵 . 贵州黄壤旱地有效镁的含量与镁肥盆栽效果分析. 贵州农业科学, 1999,27(2):31-33.
	LI S M, ZHU F Q, LIU F, HE T B . Quantity of available magnesium of dry cultivated land and effects of applying Mg fertilizer on the crops in yellow earth areas of Guizhou. Guizhou Agricultural Sciences, 1999,27(2):31-33. (in Chinese)
[22]	李延, 秦遂初 . 缺镁对水稻生理代谢的影响及诊断指标研究. 浙江农业大学学报, 1995,21(3):279-283.
	LI Y, QIN S C . Studies on diagnosis of Mg-deficiency and physiological metabolism of rice grown under Mg-deficient conditions. Journal of Zhejiang Agricultural University, 1995,21(3):279-283. (in Chinese)
[23]	赵冰, 毛小云, 廖宗文 . 几种镁肥对番茄肥效的比较研究. 土壤通报, 2006,37(4):830-832.
	ZHAO B, MAO X Y, LIAO Z W . Effect of several Mg fertilizers on tomato growth. Chinese Journal of Soil Science, 2006,37(4):830-832. (in Chinese)
[24]	李会合 . 蔬菜品质的研究进展. 北方园艺, 2006(4):55-56.
	LI H H . Research progress of vegetable quality. Northern Horticulture, 2006(4):55-56. (in Chinese)
[25]	VAIDYA O S, KUMAR S . Analytic hierarchy process: An overview of plications. European Journal of Operational Research, 2006,169(1):1-29.
[26]	胡明甫 . AHP层次分析法及MATLAB的应用研究. 钢铁技术, 2004(2):43-46.
	HU M F . Application of AHP and MATLAB. Iron and Steel Technology, 2004(2):43-46. (in Chinese)
[27]	董冬 . AHP层次分析法在评估ERP项目风险中的应用. 科技创新与应用, 2015(11):275.
	DONG D . Application of AHP in risk assessment of ERP project. Technology Innovation and Application, 2015(11):275. (in Chinese)
[28]	胡杨, 张毅 . 基于Yaahp软件实现AHP模型下BOT项目资本结构风险分析. 项目管理技术, 2011,9(8):27-31.
	HU Y, ZHANG Y . Risk analysis of BOT project capital structure based on Yaahp software. Project Management Technology, 2011,9(8):27-31. (in Chinese)
[29]	ZOU Z H, YI Y, SUN J N . Entropy method for determination of weight of evaluating indicators in fuzzy synthetic evaluation for water quality assessment. Journal of Environmental Sciences, 2006,18(5):1020-1023.
[30]	迟道才, 马涛, 李松 . 基于博弈论的可拓评价方法在灌区运行状况评价中的应用. 农业工程学报, 2008,24(8):36-39.
	CHI D C, MA T, LI S . Application of extension assessment method based on game theory to evaluate the running condition of irrigation areas. Transactions of the Chinese Society of Agricultural Engineering, 2008,24(8):36-39. (in Chinese)
[31]	赵奎, 刘维发, 曾鹏, 张亮 . 基于博弈论组合赋权TOPSIS法的深部进路参数优选. 有色金属科学与工程, 2018,9(2):70-74.
	ZHAO K, LIU W F, ZENG P, ZHANG L . Optimization of structural parameters of deep stope based on combination weighting game theory. Nonferrous Metals Science and Engineering, 2018,9(2):70-74. (in Chinese)
[32]	陈加良 . 基于博弈论的组合赋权评价方法研究. 福建电脑, 2003(9):15-16.
	CHEN J L . Research on combination weighting evaluation method based on game theory. Fujian Computer, 2003(9):15-16. (in Chinese)
[33]	路遥, 徐林荣, 陈舒阳, 曹禄来 . 基于博弈论组合赋权的泥石流危险度评价. 灾害学, 2014,29(1):194-200.
	LU Y, XU L R, CHEN S Y, CAO L L . Combined weight method based on game theory for debris flow hazard risk assessment. Journal of Catastrophology, 2014,29(1):194-200. (in Chinese)
[34]	WANG Y J, LEE H S . Generalizing TOPSIS for fuzzy multiple- criteria group decision-making. Computers & Mathematics with Applications, 2007,53(11):1762-1772.
[35]	方鹏骞, 张治国, 杨梅 . TOPSIS法在医院绩效评价中的应用. 中国卫生统计, 2005,22(3):169-170.
	FANG P Q, ZHANG Z G, YANG M . Application of TOPSIS method in hospital performance evaluation. Chinese Journal of Health Statistics, 2005,22(3):169-170. (in Chinese)
[36]	付巧峰 . 关于TOPSIS法的研究. 西安科技大学学报, 2008,28(1):190-193.
	FU Q F . Study on TOPSIS method. Journal of Xi'an University of Science and Technology, 2008,28(1):190-193. (in Chinese)
[37]	WANG F, KANG S Z, DU T S, LI F S, QIU R J . Determination of comprehensive quality index for tomato and its response to different irrigation treatments. Agricultural Water Management, 2011,98(8):1228-1238.
[38]	高俊凤 . 植物生理学实验指导. 北京: 高等教育出版社, 2006.
	GAO J F. Plant Physiology Experiment Instruction. Beijing: Higher Education Press, 2006. (in Chinese)
[39]	张晓娜, 周素梅, 王世平 . 二次回归正交旋转组合设计对麦麸中阿拉伯木聚糖酶解工艺的优化. 食品科学, 2008,29(1):141-145.
	ZHANG X N, ZHOU S M, WANG S P . Optimizing enzymatic hydrolysis conditions of arabinoxylan in wheat bran through quadratic orthogonal rotation combination design. Food Science, 2008,29(1):141-145. (in Chinese)
[40]	韦泽秀, 梁银丽, 山田智, 周茂娟, 贺丽娜, 高静 . 水肥水平对日光温室黄瓜产量及品质的影响. 青岛农业大学学报(自然科学版), 2008,25(4):268-271.
	WEI Z X, LIANG Y L, YAMADA S, ZHOU M J, HE L N, GAO J . Effect of different soil water-fertilizer supplying on the yield and fruit quality to cucumber in solar greenhouse. Journal of Qingdao Agricultural University (Natural Science), 2008,25(4):268-271. (in Chinese)
[41]	BOHN T, WALCZYK T, LEISIBACH S, HURRELL R F . Chlorophyll-bound magnesium in commonly consumed vegetables and fruits: relevance to magnesium nutrition. Journal of Food Science, 2004,69:347-350.
[42]	刘雪琴, 石孝均, 詹风, 孟涛 . 浅谈营养元素镁. 湖南农业科学, 2005(6):41-43.
	LIU X Q, SHI X J, ZHAN F, MENG T . Discuss nutrition element magnesium. Hunan Agricultural Sciences. 2005(6):41-43. (in Chinese)
[43]	KOCH M, BUSSE M, NAUMANN M, JÁKLI B, SMIT I, CAKMAK I, HERMAN C, PAWELZIK E. Differential effects of varied potassium and magnesium nutrition on production and partitioning of photoassimilates in potato plants. Physiologia Plantarum, 2019,166(4):921-935.
[44]	李欣, 张兆英, 王君 . 水肥耦合对无土袋培黄瓜产量、水分利用率和营养品质的影响. 北方园艺, 2016(23):24-28.
	LI X, ZHANG Z Y, WANG J . Effects of water and fertilizer coupling on yield, water use efficiency and nutritional quality of cucumber by soilless culture in bag. Northern Horticulture, 2016(23):24-28. (in Chinese)
[45]	韦泽秀, 梁银丽, 山田智, 曾兴权, 周茂娟, 黄茂林, 吴燕 . 不同水肥条件下番茄土壤微生物群落多样性及其与产量品质的关系. 植物生态学报, 2009,33(3):580-586. doi: 10.3773/j.issn.1005-264x.2009.03.017
	WEI Z X, LIANG Y L, YAMADA S, ZENG X Q, ZHOU M J, HUANG M L, WU Y . Relation of soil microbial diversity to tomato yield and quality under different soil water conditions and fertilizations. Chinese Journal of Plant Ecology, 2009,33(3):580-586. (in Chinese) doi: 10.3773/j.issn.1005-264x.2009.03.017
[46]	金珂旭, 王正银, 樊驰, 刘辉, 何德清 . 不同钾肥对甘蓝产量、品质和营养元素形态的影响. 土壤学报, 2014,51(6):1369-1377.
	JIN K X, WANG Z Y, FAN C, LIU H, HE D Q . Effects of potassium fertilizer on yield, quality and nutrients of cabbage relative to formula of the fertilizer. Acta Pedologica Sinica, 2014,51(6):1369-1377. (in Chinese)
[47]	阎献芳, 廖永德 . 钾肥对番茄产量及品质的影响. 耕作与栽培, 2005(3):50-19.
	YAN X F, LIAO Y D . Effects of potassium fertilizer on tomato yield and quality. Tillage and Cultivation, 2005(3):50-19. (in Chinese)
[48]	AHMAD Z, ANJUM S, WARAICH E A, AYUB M A, AHMAD T TARIP R M S, AHMAD R, IQBAL M A. Growth, physiology, and biochemical activities of plant responses with foliar potassium application under drought stress - a review. Journal of Plant Nutrition, 2018,41(13):1734-1743.
[49]	赵志华, 李建明, 潘铜华, 张大龙, 贾笑蕊, 徐菲, 李俊 . 水氮耦合对大棚甜瓜产量和品质的影响. 西北农林科技大学学报(自然科学版), 2014,42(9):97-103.
	ZHAO Z H, LI J M, PAN T H, ZHANG D L, JIA X R, XU F, LI J . Effects of water and nitrogen coupling on yield and quality of muskmelon in plastic greenhouse. Journal of Northwest A&F University (Natural Science Edition), 2014,42(9):97-103. (in Chinese)
[50]	刘世全, 曹红霞, 张建青, 胡笑涛 . 不同水氮供应对小南瓜根系生长、产量和水氮利用效率的影响. 中国农业科学, 2014,47(7):1362-1371 doi: 10.3864/j.issn.0578-1752.2014.07.013
	LIU S Q, CAO H X, ZHANG J Q, HU X T . Effects of different water and nitrogen supplies on root growth, yield and water and nitrogen use efficiency of small pumpkin. Scientia Agricultura Sinica, 2014,47(7):1362-1371. (in Chinese) doi: 10.3864/j.issn.0578-1752.2014.07.013
[51]	吴雪, 王坤元, 牛晓丽, 胡田田 . 番茄综合营养品质指标构建及其对水肥供应的响应. 农业工程学报, 2014,30(7):119-127.
	WU X, WANG K Y, NIU X L, HU T T . Construction of comprehensive nutritional quality index of tomato and its response to water and fertilizer supply. Transactions of the Chinese Society of Agricultural Engineering, 2014,30(7):119-127. (in Chinese)
[52]	马忠明, 杜少平, 薛亮 . 滴灌施肥条件下砂田设施甜瓜的水肥耦合效应. 中国农业科学, 2016,49(11):2164-2173. doi: 10.3864/j.issn.0578-1752.2016.11.012
	MA Z M, DU S P, XUE L . Coupling effects of water and fertilizer on melon in plastic greenhouse of gravel-mulched field under drip fertigation. Scientia Agricultura Sinica, 2016,49(11):2164-2173. (in Chinese) doi: 10.3864/j.issn.0578-1752.2016.11.012
[53]	刘东阳, 汪俊玉, 武雪萍, 李若楠, 黄绍文, 李晓秀 . 温室沟灌条件下不同水氮用量对番茄产量、品质及水肥利用的影响. 中国土壤与肥料, 2018(6):112-117.
	LIU D Y, WANG J Y, WU X P, LI R N, HUANG S W, LI X X . Greenhouse furrow irrigation under the condition of different water and nitrogen dosage on tomato yield, quality and the influence of water and nitrogen utilization. Soil and Fertilizer Sciences in China, 2018(6):112-117. (in Chinese)
[54]	赵志华, 李建明, 张大龙, 马亮, 贾笑蕊, 徐菲, 李俊 . 水钾耦合对大棚厚皮甜瓜产量和可溶性固形物含量的影响. 西北农林科技大学学报(自然科学版), 2013,41(8):161-167.
	ZHAO Z H, LI J M, ZHANG D L, MA L, JIA X R, XU F, LI J . Interactive effects of water and potassium on yield and soluble solid content of plastic greenhouse muskmelon. Journal of Northwest A&F University (Natural Science Edition), 2013,41(8):161-167. (in Chinese)

因素 Factor	变化间距Intervals	变量设计及水平编码 Designed variable levels and codes ear codes
因素 Factor	变化间距Intervals	-1.682	-1	0	1	1.682
灌水量 Irrigation amount (%) (X₁)	23.78	20	36.22	60	83.78	100
施氮量 Nitrogen application rate (kg/plant) (X₂）	0.0154	0	0.0104	0.0258	0.0412	0.0516
施钾量 Potassium application rate (kg/plant) (X₃)	0.0137	0	0.0093	0.0230	0.0367	0.0460
施镁量 Magnesium application rate (kg/plant) (X₄)	0.0041	0	0.0028	0.0069	0.0110	0.0138

处理号 No.	灌水量 Irrigation amount	施氮量 Nitrogen application rate	施钾量 Potassium application rate	施镁量 Magnesium application rate
1	1（60.26）	1（0.1766）	1（0.0679）	1（0.0677）
2	1（60.26）	1（0.1766）	-1（0.0172）	-1（0.0172）
3	1（60.26）	-1（0.0446）	1（0.0679）	-1（0.0172）
4	1（60.26）	-1（0.0446）	-1（0.0172）	1（0.0677）
5	-1（30.24）	1（0.1766）	1（0.0679）	-1（0.0172）
6	-1（30.24）	1（0.1766）	-1（0.0172）	1（0.0677）
7	-1（30.24）	-1（0.0446）	1（0.0679）	1（0.0677）
8	-1（30.24）	-1（0.0446）	-1（0.0172）	-1（0.0172）
9	-1.682（20.19）	0（0.1106）	0（0.0426）	0（0.0424）
10	1.682（70.31）	0（0.1106）	0（0.0426）	0（0.0424）
11	0（45.25）	1.682（0.2216）	0（0.0426）	0（0.0424）
12	0（45.25）	-1.682（0）	0（0.0426）	0（0.0424）
13	0（45.25）	0（0.1106）	1.682（0.0851）	0（0.0424）
14	0（45.25）	0（0.1106）	-1.682（0）	0（0.0424）
15	0（45.25）	0（0.1106）	0（0.0426）	1.682（0.0843）
16	0（45.25）	0（0.1106）	0（0.0426）	-1.682（0）
17	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）
18	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）
19	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）
20	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）
21	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）
22	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）
23	0（45.25）	0（0.1106）	0（0.0426）	0（0.0424）

判断矩阵 Judgment matrix						局部权重 Local weight	最终权重 Ultimate weight	一致性检验参数 Consistency test parameter
总目标层A~准则层B General goal A-Rule hierarchy B	指标Index	C₁		C₂		W_A	w_A	CR=0 λ_max=2.000
	C₁	1		1.2		0.5455	0.54
	C₂	0.833		1		0.4545	0.45
准则层B₁~指标层C Rule hierarchy B₁-index hierarchy C	指标Index	C₁₁	C₁₂		C₁₃	W_B1	w_B1	CR=0 λ_max=3.000
	C₁₁	1	1.34		1.65	0.4253	0.232
	C₁₂	0.7463	1		1.21	0.3155	0.1721
	C₁₃	0.6061	0.8264		1	0.2592	0.1414
准则层B2~指标层C Rule hierarchy B₂-index hierarchy C	指标Index	C₂₁	C₂₂		C₂₃	W_B2	w_B2	CR=0.0001<0.1 λ_max=3.0001
	C₂₁	1	0.52		0.61	0.219	0.0996
	C₂₂	1.9231	1		1.21	0.4256	0.1934
	C₂₃	1.6393	0.8264		1	0.3554	0.1615

序号 No.	C₁₁	C₁₂	C₁₃	C₂₁	C₂₂	C₂₃	D⁺	D^-	C_i	排序 Sorting
1	0.0620	0.0390	0.0249	0.0203	0.0561	0.0380	0.0103	0.0392	0.701	1
2	0.0448	0.0328	0.0231	0.0180	0.0397	0.0249	0.0333	0.0139	0.43	18
3	0.0492	0.0340	0.0246	0.0210	0.0473	0.0270	0.0242	0.0217	0.495	13
4	0.0477	0.0336	0.0241	0.0204	0.0420	0.0262	0.0288	0.0173	0.433	17
5	0.0613	0.0367	0.0249	0.0193	0.0602	0.0377	0.0113	0.0404	0.682	2
6	0.0608	0.0425	0.0249	0.0197	0.0540	0.0373	0.0113	0.0387	0.628	4
7	0.0580	0.0374	0.0258	0.0198	0.0561	0.0347	0.0216	0.0409	0.470	14
8	0.0480	0.0328	0.0248	0.0191	0.0424	0.0259	0.0291	0.0170	0.331	21
9	0.0443	0.0300	0.0230	0.0173	0.0388	0.0248	0.0352	0.0111	0.215	23
10	0.0478	0.0338	0.0243	0.0206	0.0448	0.0265	0.0268	0.0192	0.403	19
11	0.0419	0.0218	0.0215	0.0290	0.0324	0.0220	0.0433	0.0117	0.216	22
12	0.0481	0.0338	0.0245	0.0196	0.0463	0.0269	0.0260	0.0203	0.435	16
13	0.0455	0.0338	0.0242	0.0182	0.0403	0.0253	0.0320	0.0154	0.390	20
14	0.0566	0.0366	0.0261	0.0197	0.0559	0.0339	0.0136	0.0340	0.655	3
15	0.0476	0.0338	0.0242	0.0205	0.0429	0.0265	0.0281	0.0180	0.443	15
16	0.0540	0.0393	0.0259	0.0209	0.0521	0.0291	0.0168	0.0304	0.611	5
17	0.0498	0.0340	0.0245	0.0213	0.0474	0.0270	0.0237	0.0221	0.505	11
18	0.0492	0.0340	0.0245	0.0210	0.0472	0.0269	0.0243	0.0216	0.497	12
19	0.0517	0.0347	0.0254	0.0224	0.0512	0.0278	0.0198	0.0263	0.562	8
20	0.0518	0.0357	0.0255	0.0246	0.0517	0.0281	0.0184	0.0277	0.595	6
21	0.0509	0.0360	0.0251	0.0245	0.0492	0.0277	0.0203	0.0257	0.578	7
22	0.0499	0.0343	0.0248	0.0216	0.0485	0.0272	0.0228	0.0231	0.518	10
23	0.0507	0.0339	0.0248	0.0192	0.0487	0.0274	0.0312	0.0312	0.519	9
S⁺	0.0620	0.0425	0.0261	0.0290	0.0602	0.0380
S^-	0.0419	0.0218	0.0215	0.0173	0.0324	0.0220
R	0.791^**	0.658^**	0.706^**	0.352	0.611^**	0.873^**