PREMISE The nondestructive measurement of leaf area is important for expediting data acquisition in the field. The Montgomery equation (ME) assumes that leaf area (A) is a proportional function of the product of leaf length (L) and width (W), i.e., A = cLW, where c is called the Montgomery parameter. The ME has been successfully applied to calculate the surface area of many broad-leaved species with simple leaf shapes. However, whether this equation is valid for more complex leaf shapes has not been verified. METHODS Leaf A, L, and W were measured directly for each of 5601 leaves of 15 vine species, and ME and three other models were used to fit the data. All four models were compared based on their root mean square errors (RMSEs) to determine whether ME provided the best fit. RESULTS The ME was a reliable method for estimating the A of all 15 species. In addition, the numerical values of 13 of the 15 values of c fell within a previously predicted numerical range (i.e., between 1/2 and π/4). The data show that the numerical values of c are largely affected by the value of W/L, the concavity of the leaf base, and the number of lobes on the lamina. CONCLUSIONS The Montgomery parameter can reflect the influence of leaf shape on leaf-area calculations and can serve as an important tool for nondestructive measurements of leaf area for many broad-leaved species and for the investigation of leaf morphology.

中文翻译：

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15种不同叶形藤本植物叶面积无损估算

前提 叶面积的无损测量对于加快田间数据采集非常重要。蒙哥马利方程 (ME) 假设叶面积 (A) 是叶长 (L) 和宽度 (W) 乘积的比例函数，即 A = cLW，其中 c 称为蒙哥马利参数。ME 已成功应用于计算许多具有简单叶形的阔叶树种的表面积。然而，这个方程是否适用于更复杂的叶子形状尚未得到验证。方法 直接测量 15 种藤本植物的 5601 片叶子的 A、L 和 W，并使用 ME 和其他三个模型来拟合数据。所有四个模型都根据它们的均方根误差 (RMSE) 进行比较，以确定 ME 是否提供最佳拟合。结果 ME 是估计所有 15 个物种的 A 的可靠方法。此外，c 的 15 个值中的 13 个的数值落在先前预测的数值范围内（即，介于 1/2 和 π/4 之间）。数据表明，c的数值在很大程度上受W/L值、叶基凹度和叶片上裂片数的影响。结论蒙哥马利参数可以反映叶片形状对叶面积计算的影响，并且可以作为许多阔叶物种叶面积的无损测量和叶片形态研究的重要工具。数据表明，c的数值在很大程度上受W/L值、叶基凹度和叶片上的裂片数的影响。结论蒙哥马利参数可以反映叶片形状对叶面积计算的影响，并且可以作为许多阔叶物种叶面积的无损测量和叶片形态研究的重要工具。数据表明，c的数值在很大程度上受W/L值、叶基凹度和叶片上的裂片数的影响。结论蒙哥马利参数可以反映叶片形状对叶面积计算的影响，并且可以作为许多阔叶物种叶面积的无损测量和叶片形态研究的重要工具。