Advance Search
XU Chen-Shan, XU Ai-Hong, GAO Dong-Sheng, CHENG Shu-Han. Mathematical Model of Apple Fruit Growth and Correlation Analysis among Growth Indices[J]. Plant Science Journal, 2015, 33(1): 72-80. DOI: 10.11913/PSJ.2095-0837.2015.10072
Citation: XU Chen-Shan, XU Ai-Hong, GAO Dong-Sheng, CHENG Shu-Han. Mathematical Model of Apple Fruit Growth and Correlation Analysis among Growth Indices[J]. Plant Science Journal, 2015, 33(1): 72-80. DOI: 10.11913/PSJ.2095-0837.2015.10072
shu

Mathematical Model of Apple Fruit Growth and Correlation Analysis among Growth Indices

  • 1. College of Ecology and Garden Architecture, Dezhou University, Dezhou, Shandong 253023, China;

  • 2. College of Horticultural Science and Engineering, Shandong Agricultural University, Tai'an, Shandong 271018, China;

  • 3. College of Information Science and Engineering, Shandong Agricultural University, Tai'an, Shandong 271018, China;

  • 4. Department of Foundation Teaching, Shandong Huayu University of Technology, Dezhou, Shandong 253034, China

More Information
  • Received Date: June 24, 2014
  • Revised Date: August 11, 2014
  • Available Online: October 31, 2022
  • Published Date: February 27, 2015
    Graphical Abstract
    • Abstract
  • ‘Fuji’ apple (Malus domestica‘Fuji’) was used as test material to determine dynamic changes in growth indices of fruit during the growth and development period. Five theoretical growth equations were adopted to fit vertical diameter, horizontal diameter, single fruit weight, single fruit volume and dry weight, and appropriate growth equations according to fitting results were selected to establish mathematical models of growth indices of fruit. Polynomial fitting was used to establish a mathematical model of dynamic change in fruit shape index. Correlation analysis was then conducted among growth indices of fruit. Results showed that the mathematical growth models of fruit vertical diameter and horizontal diameter were appropriately established with the Logistic equation, while mathematical growth models of single fruit weight, single fruit volume and dry weight were appropriate for the Gompertz equation, and fruit shape index for polynomial fitting. Correlation analysis among the growth indices of fruit showed that each correlation coefficient between two indices, containing fruit vertical diameter, horizontal diameter, single fruit weight, single fruit volume and dry weight, was significantly positive. Both fruit shape index and relative content of dry matter in fruit showed significant negative correlation with vertical diameter, horizontal diameter, single fruit weight, single fruit volume and dry weight. The density of fruit showed significant negative correlation with vertical diameter, horizontal diameter, single fruit weight, single fruit volume and dry weight, but significant positive correlation with fruit shape index and relative content of dry matter in fruit.
    • FullText(HTML)
    • References (43)
  • [1]
    Zeide B. Analysis of growth equations[J]. Forest Sci, 1993, 39(3): 594-616.
    [2]
    Yaussy AD. Comparison of an empirical forest growth and yield simulator and a forest gap simulator using actual 30-year growth from two evena-ged forests in Kentucky[J]. Forest Ecol Manag, 2000, 126(3): 385-398.
    [3]
    杨锦昌, 尹光天, 李荣生, 冯昌林, 邹文涛. 5种生长方程在2种藤林生长模型中的应用[J]. 福建林学院学报, 2007, 27(3): 217-221.
    [4]
    肖玮, 殷华, 阎秀峰, 孙国荣. 星星草种群地上生物量形成规律的数学拟合[J]. 哈尔滨师范大学学报:自然科学版, 1997, 13(1): 102-105.
    [5]
    郝敦元, 刘钟龄, 王炜, 梁存柱. 内蒙古草原退化群落恢复演替的研究——群落演替的数学模型[J]. 植物生态学报, 1997, 21(6): 503-511.
    [6]
    Li F, Zhao B, Su G. A derivation of the genera-lized Korf growth equation and its application[J]. J Forest Res, 2000, 11(2): 81-88.
    [7]
    张建国, 段爱国. 理论生长方程对杉木人工林林分直径结构的模拟研究[J]. 林业科学, 2003, 39(6): 55-61.
    [8]
    徐春明, 贾志宽, 韩清芳. 巨人201+Z苜蓿地上部分生长特性的研究[J]. 西北植物学报, 2003, 23(3): 481-484.
    [9]
    张彩琴. 内蒙古典型草原生长季内植物生长动态的数学模型与计算机模拟研究[D]. 呼和浩特: 内蒙古大学, 2007: 32-44.
    [10]
    包东娥, 刘尊春, 宋林森. 金太阳杏果实生长发育的数学模型研究[J]. 安徽农业科学, 2007, 35(4): 945-946.
    [11]
    刘勇, 刘善军, 唐建军, 黄玄, 蔡冲. 甜柿果实发育数学模型研究[J]. 江西农业大学学报, 2003, 23(3): 308-312.
    [12]
    刘冰浩, 区善汉, 刘升球, 麦适秋. 金柑果实生长发育的数学模型研究[J]. 安徽农业科学, 2011, 39(3): 1281-1282.
    [13]
    段金辉, 赵连德, 翟英临, 张延河. 旱砂西瓜果实生长发育数学模型研究[J]. 北方园艺, 2012,(6): 23-25.
    [14]
    李玉石. 日光温室油桃果实生长发育的数学模型研究[J]. 安徽农业科学, 2009, 37(25): 11953-11954.
    [15]
    朱建华, 刘冰浩, 朱松生, 冼礼卓, 林竞鸿, 叶权, 彭宏祥. ‘鸡嘴荔’果实发育及其数学模型建立与分析[J]. 中国农学通报, 2013, 29(34): 107-110.
    [16]
    吴文龙, 王小敏, 赵慧芳, 方亮, 闾连飞, 李维林. 黑莓品种Boysen果实发育模型的建立与分析[J]. 江苏农业学报, 2010, 26(5): 1048-1052.
    [17]
    匡晓东, 杨文学, 王聪田. 安农无核蜜香柚果实生长发育的数学模型研究[J]. 浙江柑橘, 2000, 17(3): 31-34.
    [18]
    刘丽琴, 李伟才, 王一承, 魏永赞, 石胜友. 石硖龙眼果实生长发育模型研究[J]. 广东农业科学, 2013,(22): 51-55.
    [19]
    薄颖生, 翟梅枝, 毛富春, 郑继成. 两个品种核桃果实生长模型及生理落果规律研究[J]. 北方园艺, 2013(2): 33-35.
    [20]
    徐回林, 陈金印, 辜青青, 喻晓强, 曾涛. 基于Logistic模型研究南丰蜜橘(Citrus reticulate Blanco)果实的生长动态[J]. 江西农业大学学报, 2010, 32(6): 1131-1135.
    [21]
    刘慧, 张国桢, 张宏辉, 程高佑. 温室油桃叶片与果实生长模型及其分析[J]. 西北林学院学报, 2010, 25(1): 86-89.
    [22]
    袁启凤, 蔡永强, 陈守一, 李向林, 李金强. 纽荷尔脐橙果实生长规律Logistic模型探究[J]. 江西农业学报, 2011, 23(8): 36-38.
    [23]
    Avanza MM, Bramardi SJ, Mazza SM. Statistical models to describe the fruit growth pattern in sweet orange‘Valencia late’[J]. Span J Agric Res, 2008, 6(4), 577-585.
    [24]
    Godoy C, Monterubbianesi G, Tognetti J. Analysis of highbush blueberry (Vaccinium corymbosum L.) fruit growth with exponential mixed models[J]. Sci Hortic, 2008, 115: 368-376.
    [25]
    赵世荣, 廖康, 安晓芹, 李楠, 刘娟, 章世奎. 极晚熟杏品种冬杏果实生长发育动态及模型研究[J]. 新疆农业大学学报, 2013, 36(3): 207-212.
    [26]
    高照全, 张显川, 李天红, 王小伟. 干旱胁迫下桃树果实直径的动态模拟[J]. 生物数学学报, 2007, 22(2): 377-383.
    [27]
    杨丽丽, 王一鸣, 康孟珍, 董乔雪. 基于修正Logistic模型的番茄单个果实生长规律模拟[J]. 农业机械学报, 2008, 39(11): 81-84.
    [28]
    刁明, 戴剑锋, 罗卫红, 袁昌梅, 卜崇兴, 鲜开梅, 张生飞, 徐蕊. 温室甜椒生长与产量预测模型[J]. 农业工程学报, 2009, 25(10): 241-246.
    [29]
    袁昌梅, 罗卫红, 邰翔, 张生飞, 金亮, 陈永山, 卜崇兴, 徐刚. 温室网纹甜瓜干物质分配、产量形成与采收期模拟研究[J]. 中国农业科学, 2006, 39(2): 353-360.
    [30]
    倪纪恒, 陈学好, 陈春宏, 徐强, 赵大球. 用辐热积法模拟温室黄瓜果实生长[J]. 农业工程学报, 2009, 25(5): 192-196.
    [31]
    滕林, 程智慧, 赖琳玲, 陈学进, 冯武焕. 基于温度和太阳辐射的番茄果型果径模拟模型[J]. 西北农业学报, 2010, 19(5): 141-144.
    [32]
    张智优, 曹宏鑫, 陈兵林, 刘岩, 陈昱利. 设施番茄果实生长及产量形成模拟模型[J]. 江苏农业学报, 2012, 28(1): 145-151.
    [33]
    李慧峰, 李林光, 张琮, 吕德国. 苹果果实生长发育数学模型研究[J]. 江西农业学报, 2008, 20(4): 40-42.
    [34]
    孟宪宇. 测树学[M]. 第3版. 北京: 中国林业出版社, 2006: 179-187.
    [35]
    段爱国, 张建国, 童书振. 6种生长方程在杉木人工林林分直径结构上的应用[J]. 林业科学研究, 2003, 16(4): 423-429.
    [36]
    李凤日. 兴安落叶松天然林直径分布及产量预测模型的研究[J]. 东北林业大学学报, 1987, 15(4): 7-151.
    [37]
    Liao C, Podrazsky V. Growth analysis of individual tree basal area of western yellow pine introduced in Kostelec region [J]. J Northwest For Univ, 2001, 16(4): 1-51.
    [38]
    田勤科, 吴艳新, 曹自成, 郭江, 郑军民. 富士苹果果实发育生理研究[J]. 河北林业科技, 2004, 12(6): 5-7.
    [39]
    杨照渠, 陈旦蕊, 苏士法. 东魁杨梅果实生长发育规律初探[J]. 浙江农业科学, 2003(1): 7-9.
    [40]
    林忠辉, 莫兴国, 项月琴. 作物生长模型研究综述[J]. 作物学报, 2003, 29(5): 750-758.
    [41]
    马丽丽. 番茄生长模型及日光温室小气候建模的研究[D]. 沈阳: 沈阳农业大学, 2009: 6-10.
    [42]
    施泽平. 温室甜瓜生长模型的研究及栽培管理专家系统的建立[D]. 南京: 南京农业大学, 2005: 28-35.
    [43]
    于强, 傅抱璞, 姚克敏. 包容生态因子的广义Logistic模型[J]. 生态学报, 1996, 16(3): 289-294.
    • Related Articles

  • Related Articles

    [1]Zhang Yibo, Li Tiehua, Guo Shuyun, Xing Lu, Zhang Xinyi. Effects of litter extract of Phoebe bournei (Hemsl.) Yang on seed germination, seedling growth, and physiological indices[J]. Plant Science Journal, 2024, 42(1): 114-124. DOI: 10.11913/PSJ.2095-0837.22328
    [2]Huang Wen-Jun, Wang Zhou-Qian, Zhang Qi, Yang Jie, Shen Su-Yun, Zhong Cai-Hong. Dynamic changes in fruit growth and development of Actinidia ‘Jinyuan’ in two regions[J]. Plant Science Journal, 2023, 41(4): 531-539. DOI: 10.11913/PSJ.2095-0837.22116
    [3]Chen Mei-Yan, Zhang Peng, Zhao Ting-Ting, Han Fei, Liu Xiao-Li, Zhong Cai-Hong. Relationship between harvest indices and fruit quality traits in Actinidia chinensis ‘Jintao’[J]. Plant Science Journal, 2019, 37(5): 621-627. DOI: 10.11913/PSJ.2095-0837.2019.50621
    [4]SUN Xiao-Fang, REN Ming-Xun, WANG Gang, TAN Gen-Jia, HE Jia-Qing, HUANG Xun-Duan, PING Jiang, GE Jie-Lin. Photosynthetic Physiology and Clonal Growth of Solidago canadensis at Different Light Intensities:Implications for Invasive Mechanism[J]. Plant Science Journal, 2008, 26(6): 620-626.
    [5]LI Fang-Min, WANG Jun, CHEN YU-Ping, ZOU Zhi-Rong, WANG Xun-Ling, YUE Ming. The Combined Effects of Enhanced UV-B Radiation and Doubled CO2 Concentration on the Growth,Fruit Quality and Yield of Tomato in Winter Plastic Greenhouse[J]. Plant Science Journal, 2006, 24(1): 49-53.
    [6]XING Shi-Yan, HAN Ke-Jie, ZHAO Guang-Qiu, YANG Zheng-Hui, WANG Wen-Chen, RONG Shao-Qian. Studies on Biological Features of Growth and Fruiting from Pistachios Cultivars[J]. Plant Science Journal, 2004, 22(6): 546-550.
    [7]Luo Xiaozheng, Cui Xinhong, Chen Jiakuan, He Jiannong. INFLUENCES OF REPRODUCTIVE METHODS ON GROWTH OF SAGITTARIA PYGMAEA[J]. Plant Science Journal, 2000, 18(2): 157-159.
    [8]Guan Junfeng, Ma Zhihong, Li Hongqin. EFFECTSOF Li+, NEOMYCIN AND Ca2+ ON POLLEN GERMINATION AND POLLEN TUBE GROWTH OF APPLE[J]. Plant Science Journal, 2000, 18(1): 64-66.
    [9]Xiong Dasheng, Cao Yong, Zhu Jintao. STUDIES ON FRUIT SETTING AND FRUIT GROWTH HABIT OF AKEBIA TRIFOLIATA UNDER ARTIFICIAL CULTIVATION[J]. Plant Science Journal, 1996, 14(1): 89-93.
    [10]Peng Yonghong, Zhang Wencai. STUDIES ON THE RESISTANCE INDICES OF KIWIFRUIT LEAVES[J]. Plant Science Journal, 1995, 13(1): 70-74.

Catalog

    Get Citation
    PDF
    XML
    Article views (1592) PDF downloads (1752) Cited by()
    Turn off MathJax
    Article Contents
    Abstract
    References
    Related Articles
    Copyright © 2022 Plant Science Journal 鄂ICP备05004779号-3
    Address：No. 201, Jiufeng 1st Road, Donghu High tech Zone, WuhanPostal Code：430074

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return