四个性能模型的比较,用于量化叶子和水果尺寸分布的不平等
Lin Wang1, Ke He2, Cang Hui3,4
1Department of Applied Mathematics, College of Science Nanjing Forestry University Nanjing China.
Ecology and evolution
|March 4, 2024
概括
这项研究比较了使用洛伦茨曲线量化植物器官大小不平等的四种模型. 一般化性能方程1 (GPE-1) 显示出最佳匹配,而性能方程2 (PE-2) 显示出有利的线性.
科学领域:
- 植物生物学 植物生物学
- 定量生态学 是一种定量生态学.
- 统计建模 统计建模
背景情况:
- 植物器官大小不平等通常使用基尼指数和洛伦茨曲线进行评估.
- 现有的研究主要使用性能方程1 (PE-1) 和其通用形式 (GPE-1) 来建模这些曲线.
- 性能方程2 (PE-2) 和其通用形式 (GPE-2) 在此应用中被较少探索.
研究的目的:
- 为了比较分析四个实证模型 (PE-1,GPE-1,PE-2,GPE-2) 在描述植物器官尺寸分布的洛伦兹曲线的性能.
- 评估这些模型的适用性,以量化叶子和水果大小的不平等.
主要方法:
- 使用了矮竹 (Shibataea chinensis) 的叶面积数据和子 (Cucumis melo) 的果实体积数据.
- 四个性能方程 (PE-1,GPE-1,PE-2,GPE-2) 适用于从经验数据中得出的洛伦茨曲线.
- 模型的性能使用根平均平方误差 (RMSE) 和Akaike信息标准 (AIC) 进行评估,并使用相对曲率测量来评估线性.
主要成果:
- 这四种模型都显示出很好的匹配,RMSE值在两个数据集中始终低于0.05.
- 一般化性能方程1 (GPE-1) 给出了最低的RMSE和AIC值,表明整体适应性优越.
- 性能方程2 (PE-2) 根据相对曲率分析,表现出最线性的行为.
结论:
- 通过洛伦兹曲线,GPE-1提供了一个强大的适合模拟植物器官尺寸分布不平等.
- PE-2提供了一个有价值的替代方案,特别是在评估尺寸分布的线性时.
- 这种比较分析为研究植物大小变化和不平等的研究人员提供了精细的工具包.
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