| 植物茎干水分系统混沌动力学特性分析 |
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| 引用本文： | 刘宇琦,宋维,赵玥,韩巧玲,胡跃阳,赵燕东.植物茎干水分系统混沌动力学特性分析[J].农业工程学报,2023,39(18):102-110. |
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| 作者姓名： | 刘宇琦 宋维 赵玥 韩巧玲 胡跃阳 赵燕东 |
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| 作者单位： | 1. 北京林业大学工学院, 北京 100083;2. 北京林业大学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 |
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| 基金项目： | 国家重点研发计划项目（2017YFD0600901-2；2020YFD1000500-1） |
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| 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。
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| 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 |
| 收稿时间： | 2023/5/24 0:00:00 |
| 修稿时间： | 2023/9/8 0:00:00 |
Characterization of chaotic dynamics in stem water content of plants |
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| LIU Yuqi,SONG Wei,ZHAO Yue,HAN Qiaoling,HU Yueyang,ZHAO Yandong.Characterization of chaotic dynamics in stem water content of plants[J].Transactions of the Chinese Society of Agricultural Engineering,2023,39(18):102-110. |
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| Authors: | LIU Yuqi SONG Wei ZHAO Yue HAN Qiaoling HU Yueyang ZHAO Yandong |
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| Affiliation: | 1. School of Technology, Beijing Forestry University, Beijing 100083, China;2. Beijing Lab of Urban and Rural Ecological Environment, Beijing Municipal Education Commission, Beijing 100083, China;3. Research Center for Intelligent Forestry, Beijing 10083, China |
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| Abstract: | 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 eco-climatic 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 moisture dynamics were determined by a deterministic system with a limited number of control variables. There were also general differences in the stem moisture chaotic parameters of different plant species. Usually, the complexity of climate led to the chaotic characteristics of environmental factors, such as temperature, humidity, precipitation, and solar radiation in the plant growth environment. The chaotic behavior of the stem water content system depended mainly on the environmental factors and the plant''s own regulation. Next, the chaotic influencing parameters were explored on the complexity of the stem water system using Populus data from the same period, location, and species under different stress treatments. The intrinsic links were then analyzed among the chaotic characteristic parameters, stem water content, and plant growth status. There were similar chaos parameters of stem dry moisture when the growth states of the same plant were similar. The chaos parameters were changed significantly when the growth states were different. For example, the LLE values of Populus were below 0.006 and 0.007 under drought and xylem destruction stress, respectively, where the average values were 0.010 and 0.019 in the control group, respectively. The values derived from the weighted analysis of CD and LLE can effectively characterize the occurrence of stress. Therefore, the chaotic characteristic parameter was closely related to the severity of the stress suffered by the plant. As such, the qualitative prediction can be realized for the retrospection of the plant''s life state. In addition, the phase space reconstruction proved the data filling, prediction, and backtracking from a quantitative point of view using the local features of phase space trajectories. This finding is the first attempt to analyze the complexity of the plant water system from the perspective of chaos theory, providing a new way to understand the chaotic behavior of plant water dynamics. |
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| Keywords: | chaotic system phase space method Lyapunov method correlation dimension method stem water content |
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