植物茎干水分系统混沌动力学特性分析  

Characterization of chaotic dynamics in stem water content of plants

作　　者：刘宇琦 宋维 赵玥[1,2,3] 韩巧玲 胡跃阳[1,2,3] 赵燕东 LIU Yuqi;SONG Wei;ZHAO Yue;HAN Qiaoling;HU Yueyang;ZHAO Yandong(School of Technology,Beijing Forestry University,Beijing 100083,China;Beijing Lab of Urban and Rural Ecological Environment,Beijing 100083,China;Research Center for Intelligent Forestry,Beijing 100083,China)

机构地区：[1]北京林业大学工学院,北京100083 [2]城乡生态环境北京试验室,北京100083 [3]智慧林业研究中心,北京100083

出　　处：《农业工程学报》2023年第18期102-110,共9页Transactions of the Chinese Society of Agricultural Engineering

基　　金：国家重点研发计划项目(2017YFD0600901-2,2020YFD1000500-1)。

摘　　要：植物水分系统由于与周围环境的非线性相互作用,通常表现出复杂的时空格局。为了探究植物水分系统中的混沌特性,该研究以相空间重构、相关维数(correlation dimension,CD)、最大李雅普诺夫指数(largest Lyapunov exponent,LLE)为基础,研究了植物茎干水分时间序列中可能存在的混沌行为,研究树种包括海棠、花楸、黄丁香、铅笔柏和杨树。结果表明,植物水分系统存在混沌现象,且植物水分动态特性由控制变量数量有限的确定性系统决定。不同种类植物的茎干水分混沌参数普遍存在差异,同种植物生长状态相近时茎干水分的混沌参数相近,当生长状态出现差异时混沌参数随之发生变化。对不同生长状态的植物茎干水分混沌参数分析发现,杨树在干旱胁迫下LLE不高于0.006,而对照组平均值为0.010,木质部破坏胁迫后LLE不高于0.007,而对照组平均值为0.019,表明混沌参数可有效表征植物茎干水分数据变化趋势,并与植物生长状态存在联系,可以尝试利用这一规律对植物生长状态进行预测与回溯。该研究尝试从混沌理论的角度分析植物水分系统的复杂性,可为理解植物水分动力学的混沌行为提供新的途径。Plant water systems can typically exhibit complex spatiotemporal patterns,due to the nonlinear interactions with the surrounding environment.This study aims to investigate the chaotic properties in the plant water content system.The chaotic behaviors were determined in the water content time series of plant stem using phase space reconstruction,correlation dimension(CD),and largest Lyapunov exponent(LLE).The image data was collected from the broadleaf species in Inner Mongolia Autonomous Region and Beijing,China.The period of data collection was set as 4-10 months.Among them,Malus spectabilis,Sorbus pohuashanensis,Syringa pekinensis,and Sabina virginiana were located in the nursery of the Hesheng Institute of Ecological Science and Technology,Hulinger County,Hohhot City District,Inner Mongolia Autonomous Region(111°50'28''E,40°32'33''N)in a mid-temperate continental monsoon climate,with the test dates from September to December 2018;Populus and another part of Malus spectabilis were located in Sanqingyuan Nursery,Haidian District,Beijing(116°21'14''E,40°0'54''N)in a warm-temperate semi-humid semi-arid monsoon climate,with the test dates from May to February 2022.The tree samples were selected as approximately 5 cm in diameter at breast height.At the same time,the ecoclimatic parameters were measured with intervals of 10 min for the data collection.Firstly,the data was collected from the Malus spectabilis,Sorbus pohuashanensis,Syringa pekinensis,and Sabina virginiana at the same location in the same time period.Different plant samples were then used to test for the presence of chaos in the stem water content system.A comparison was also made to clarify the differences between the phase space reconstruction,CD,and LLE among different plants.Finally,a series of experiments were implemented on the plant samples from different test sites,including Malus spectabilis in Inner Mongolia and Malus spectabilis in Beijing.The results show that there were chaotic properties in the plant stem moisture system.The plant mois

关 键 词：混沌系统 相空间法 李雅普诺夫法 相关维数法 茎干含水率 

分 类 号：S715.2[农业科学—林学]