基于Richards方程的百合生长动态模拟分析
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摘要
为研究露地条件下百合从营养生长到生殖生长过程中株高、茎上叶、花茎及花苞的生长动态过程,以百合品种‘Conca D,or’为材料,在对不同器官形态发育测量的基础上,运用Richards方程对株高、叶片、花茎、花苞等器官的实测数据进行曲线拟合,构建生长发育模型。结果表明:株高的生长量方程为Y=48.151/(1+64.478e~(-0.235x))~(1/0.235);叶片的生长量方程为:Y=3.429/(1+0.006e~(-0.105 x))~(1/0.001);花茎的生长量方程为:Y=7.387/(1+2 245.212e~(-0.223 x))~(1/0.963 8);花苞的生长量方程为:Y=15.313/(1+841.027e~(-0.136 x))~(1/1.687),4个生长方程的决定系数R~2分别为0.999、0.985、0.994和0.989,其生长量曲线的实测值与预测值高度拟合,满足"慢-快-慢"的生长规律。4个生长方程很好的揭示了百合从营养生长到生殖生长过程中各器官生长的发育规律,能够预测花苞开裂后花被片生长的情况。
In order to provide necessary technical reference for further accurate management of water and fertilizer in lily,this paper studied its growth process from vegetative growth to reproductive.with Lilium‘Conca D,or’as material,and fitted the measured data of plant height,leaves,stems,flower bracts by Richards equation and exponential equation,and then constructed the growth model.The results showed as follows:the plant heights equation was Y=48.151/(1+64.478e~(-0.235x))~(1/0.235);the leaves equation was Y=3.429/(1+0.006e~(-0.105x))~(1/0.001);the stems equation was Y=7.387/(1+2 245.212e~(-0.223x))~(1/0.963 8);the flower bracts was Y=15.313/(1+841.027e~(-0.136x))~(1/1.687).The determination coefficients R~2of the four growth equations were 0.999,0.985,0.994 and 0.989,respectively.The measured values of the growth curves were highly fitted with the predicted values,and the growth law of"slow-fast-slow"was satisfied.The four growth equations revealed the growth law of lily organs from vegetative growth to reproductive growth and could predict the growth condition of the perianth piece after the bud was cracked.
In order to provide necessary technical reference for further accurate management of water and fertilizer in lily,this paper studied its growth process from vegetative growth to reproductive.with Lilium‘Conca D,or’as material,and fitted the measured data of plant height,leaves,stems,flower bracts by Richards equation and exponential equation,and then constructed the growth model.The results showed as follows:the plant heights equation was Y=48.151/(1+64.478e~(-0.235x))~(1/0.235);the leaves equation was Y=3.429/(1+0.006e~(-0.105x))~(1/0.001);the stems equation was Y=7.387/(1+2 245.212e~(-0.223x))~(1/0.963 8);the flower bracts was Y=15.313/(1+841.027e~(-0.136x))~(1/1.687).The determination coefficients R~2of the four growth equations were 0.999,0.985,0.994 and 0.989,respectively.The measured values of the growth curves were highly fitted with the predicted values,and the growth law of"slow-fast-slow"was satisfied.The four growth equations revealed the growth law of lily organs from vegetative growth to reproductive growth and could predict the growth condition of the perianth piece after the bud was cracked.
引文
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[14]王莹,王良桂,黄成名,等.露地栽培条件下百合的生长规律及种球繁殖技术[J].中国农业科学,2014,47(8):1558-1566.Wang Y,Wang L G,Huang C M,et al..Growth regularity and bulb propagation techniques oflilies in open field[J].Sci.Agric.Sin.,2014,47(8):1558-1566.
[15]周益权,孙伟,李隆云,等.重庆卷丹个体生长与构件生物量的动态研究[J].时珍国医国药,2015,27(10):2498Zhou Y Q,Sun W,Li L Y,et al..Study on individual and modular biomass dynamics of Lilium lancifolium[J].Lishizhen Med.Materia Medica Res.,2015,27(10):2498-2500.
[16]薛香,吴玉娥,陈荣江,等小麦籽粒灌浆过程的不同数学模型模拟比较[J].麦类作物学报,2006,26(6):169-171.Xue X,Wu Y E,Chen R J,et al..Comparison of different mathematical equations for simulating the qrain filling process of wheat[J].J.Triticeae Crops 2006,26(6):169-171.
[17]段爱国,张建国,童书振.6种生长方程在杉木人工林林分胸径结构上的应用[J].林业科学研究,2003,16(4):423-429.Duan A G,Zhang J G,Tong S Z.Application of six growth equation on stands diameter structure of Chinese fir plantations[J].Forestry Res.,2003,16(4):423-429.
[2]杨恒山,李莹莹,徐寿军,等.玉米地上主要器官形态建成的动态模拟[J].中国农业生态学报,2015,23(2):183-190.Yang S SH,Li Y Y,Xu S J,et al..Dynamic simulation of maize main organ morphogenesis[J].Chin.J.Eco-Agric.,2015,23(2):183-190.
[3]龚月桦,刘迎洲,高俊凤.K型杂交小麦901及亲本籽粒灌浆的生长分析[J].中国农业科学,2004,37(9):1288-1292.Gong Y H,Liu Y Z,Gao J F.Growth analysis on the process of grain filling in hybrid wheat 901 and its parents[J].Sci.Agric.Sin.,2004,37(9):1288-1292.
[4]冯仲科,熊妮娜,王佳,等.北京市侧柏人工林全林分模型建立与研究[J].北京林业大学学报,2008(30)3:214-217.Feng Z K,Xiong N N,Wang J,et al..Establishment and research of whole satnd model of platycyladus orientalis piantion in Beijing[J].J.Beijing Forestry Univ.,2008,30(3):214-217.
[5]陈天雨,高晓阳,吴翔,等.红地球葡萄枝条生长动态模拟模型研究[J].浙江农业学报,2017,29(7):1208-1215.Chen T Y,Gao X Y,Wu X,et al..Dynamic simulation model for branch growth of red globe grape[J].Acta Agric.Zhejiang Gensis,2017,29(7):1208-1215.
[6]陈庭木,王宝祥,方兆伟,等.连农生长方程类库[P].中国,2017SR562124:1-1.
[7]Hidén C,Larsen R U.Predicting flower development in greenhouse grown chrysanthemum[J].Sci.Hortic.,1994,58:123-138.
[8]Steininger J,Pasian C.Prediction of development of Asiatic lilies based on air temperature and thermal units[J].Hortic.Sci.,2003,38(6):1100-1103.
[9]Fisher P R,Lieth J H.Variability in flower development of easter lily(Lilium longiflorum Thunb.):Model and decisionsupport system[J].Computers Electron.Agric.,2000,26(200):53-64.
[10]Lieth J H,Carpenter P.Modeling stem elongation and leaf unfolding of easter lily during forcing[J].Sci.Hortic.,1990,44:149-162.
[11]黄济明,杨建瑛,林国栋.麝香百合花芽分化过程的观察[J].园艺学报,1985,12(3):203-205.Huang J M,Yang J Y,Lin G D.The process of floral different in Lilium lingifolorum[J].Acta Hortic.Sin.,1985,12(3):203-206.
[12]俞红强,郝京辉,义鸣放.新铁炮百合实生植株的生长发育[J].中国农业大学学报,2005,10(1):30-33.Yu H Q,Hao J H,Yi M F.Study on growth and development of Lilium×formolongi seedling[J].J.China Agric.Univ.,2005,10(1):30-33.
[13]张福星,牛立新,张延龙,等.岷江百合实生后代生长习性观测与分析[J].西北农业学报,2010,19(10):183-188.Zhang F X,Niu L X,Zhang Y L,et al..Observation and analysis of growth habit in seedling progeny of Lilium regale[J].Acta Agric.Boreali-occident.Sin.,2010,10:183-188.
[14]王莹,王良桂,黄成名,等.露地栽培条件下百合的生长规律及种球繁殖技术[J].中国农业科学,2014,47(8):1558-1566.Wang Y,Wang L G,Huang C M,et al..Growth regularity and bulb propagation techniques oflilies in open field[J].Sci.Agric.Sin.,2014,47(8):1558-1566.
[15]周益权,孙伟,李隆云,等.重庆卷丹个体生长与构件生物量的动态研究[J].时珍国医国药,2015,27(10):2498Zhou Y Q,Sun W,Li L Y,et al..Study on individual and modular biomass dynamics of Lilium lancifolium[J].Lishizhen Med.Materia Medica Res.,2015,27(10):2498-2500.
[16]薛香,吴玉娥,陈荣江,等小麦籽粒灌浆过程的不同数学模型模拟比较[J].麦类作物学报,2006,26(6):169-171.Xue X,Wu Y E,Chen R J,et al..Comparison of different mathematical equations for simulating the qrain filling process of wheat[J].J.Triticeae Crops 2006,26(6):169-171.
[17]段爱国,张建国,童书振.6种生长方程在杉木人工林林分胸径结构上的应用[J].林业科学研究,2003,16(4):423-429.Duan A G,Zhang J G,Tong S Z.Application of six growth equation on stands diameter structure of Chinese fir plantations[J].Forestry Res.,2003,16(4):423-429.