TECHNIQUES AND METHODS

A Modification of the Finite-length Averaging Method in Measuring Leaf Area Index in Field

Expand
  • 1College of Global Change and Earth System Science, Beijing Normal University, Beijing 100875, China
    2State Key Laboratory of Remote Sensing Science, Jointly Sponsored by Beijing Normal University and Institute of Remote Sensing and Digital Earth, Chinese Academy and Sciences, Beijing 100875, China

† These authors contributed equally to this paper

Received date: 2017-04-14

  Accepted date: 2017-08-30

  Online published: 2018-11-29

Abstract

Measuring leaf area index (LAI) in the field is a common task in ecological and agricultural studies. There are direct and indirect methods for the task. One of the frequently used indirect methods is to acquire a digital photo of the vegetation canopy and extract the area ratio of green leaf, then simultaneously estimate LAI and clumping index with the finite-length averaging method proposed by Lang and Xiang (1986). However, the finite-length averaging method still needs improvement. For example, using Beer’s law for estimating leaf area in the sample’s line of finite length is theoretically incompatible with its basic assumption of heterogeneous canopy, resulting in over-estimation or even invalid value of the calculated LAI. Thus, this study proposed empirical formulas to replace Beer’s law in characterizing the relation between gap ration and LAI in the sample line (or sample square) based on computer simulations. The new formulas correct the shortcomings of over-estimation and instability of Beer’s law when the canopy is dense and the length of sample line (or sample square) is short. Then, the optimal setting for the length of sample line (or sample square) in a heterogeneous field is discussed: the length of 8 times an equivalent leaf length for sample line and 3 times an equivalent leaf length for a sample square were recommended in most cases of crop or grass scenes. As well, a sample square was superior to a sample line in applications estimating LAI of a heterogeneous field.

Cite this article

Liu Qiang, Cai Erli, Zhang Jialin, Song Qiao, Li Xiuhong, Dou Baocheng . A Modification of the Finite-length Averaging Method in Measuring Leaf Area Index in Field[J]. Chinese Bulletin of Botany, 2018 , 53(5) : 671 -685 . DOI: 10.11983/CBB17083

References

1 王锦地, 张戈, 肖月庭, 屈永华 (2007). 基于地物波谱库构造农作物生长参数的时空分布先验知识. 北京师范大学学报(自然科学版) 43, 284-291.
2 吴朝阳, 牛铮 (2008). 基于辐射传输模型的高光谱植被指数与叶绿素浓度及叶面积指数的线性关系改进. 植物学通报 25, 714-721.
3 杨贵军, 黄文江, 王纪华, 邢著荣 (2010). 多源多角度遥感数据反演森林叶面积指数方法. 植物学报 45, 566-578.
4 姚延娟, 范闻捷, 刘强, 李丽, 陶欣, 辛晓洲, 柳钦火 (2010). 玉米全生长期叶面积指数收获测量法的改进. 农业工程学报26(8), 189-194.
5 Baret F, De Solan B, Lopez-Lozano R, Ma K, Weiss M (2010). GAI estimates of row crops from downward looking digital photos taken perpendicular to rows at 57.5° zenith angle: theoretical considerations based on 3D architecture models and application to wheat crops.Agric Forest Meteor 150, 1393-1401.
6 Chen JM, Cihlar J (1995). Plant canopy gap-size analysis theory for improving optical measurements of leaf-area index.Appl Opt 34, 6211-6222.
7 Guo QH, Wu FF, Pang SX, Zhao XQ, Chen LH, Liu J, Xue BL, Xu GC, Li L, Jing HC, Chu CC (2016). Crop 3D: a platform based on LiDAR for 3D high-throughput crop phenotyping.Sci Sin Vitae 46, 1210-1221.
8 Hu RH, Yan GJ, Mu XH, Luo JH (2014). Indirect measurement of leaf area index on the basis of path length distribution.Remote Sens Environ 155, 239-247.
9 Jonckheere I, Fleck S, Nackaerts K, Muys B, Coppin P, Weiss M, Baret F (2004). Review of methods for in situ leaf area index determination: Part I. Theories, sensors and hemispherical photography. Agric Forest Meteor 121, 19-35.
10 Lang ARG, Xiang YQ (1986). Estimation of leaf area index from transmission of direct sunlight in discontinuous cano- pies.Agric Forest Meteor 37, 229-243.
11 Leblanc SG, Chen JM, Fernandes R, Deering DW, Conley A (2005). Methodology comparison for canopy structure parameters extraction from digital hemispherical photography in boreal forests.Agric Forest Meteor 129, 187-207.
12 Li XH, Liu Q, Yang RJ, Zhang HJ, Zhang JL, Cai EL (2015). The design and implementation of the leaf area index sensor.Sensors 15, 6250-6269.
13 Liu JG, Pattey E (2010). Retrieval of leaf area index from top-of-canopy digital photography over agricultural crops.Agric Forest Meteor 150, 1485-1490.
14 Liu YK, Mu XH, Wang HX, Yan GJ (2012). A novel method for extracting green fractional vegetation cover from digital images.J Veg Sci 23, 406-418.
15 Myneni RB, Hoffman S, Knyazikhin Y, Privette JL, Glassy J, Tian Y, Wang Y, Song X, Zhang Y, Smith GR, Lotsch A, Friedl M, Morisette JT, Votava P, Nemani RR, Running SW (2002). Global products of vegetation leaf area and fraction absorbed PAR from year one of MODIS data.Remote Sens Environ 83, 214-231.
16 Piayda A, Dubbert M, Werner C, Correia AV, Pereira JS, Cuntz M (2015). Influence of woody tissue and leaf clum- ping on vertically resolved leaf area index and angular gap probability estimates.Forest Ecol Manage 340, 103-113.
17 Wang HX, Zhang WM, Zhou GQ, Yan GJ, Clinton N (2009). Image-based 3D corn reconstruction for retrieval of geometrical structural parameters.Int J Remote Sens 30, 5505-5513.
18 Weiss M, Baret F, Smith GJ, Jonckheere I, Coppin P (2004). Review of methods for in situ leaf area index (LAI) determination: Part II. Estimation of LAI, errors and samp- ling. Agric Forest Meteor 121, 37-53.
19 Woodgate W, Disney M, Armston JD, Jones SD, Suarez L, Hill MJ, Wilkes P, Soto-Berelov M, Haywood A, Mellor A (2015). An improved theoretical model of canopy gap probability for leaf area index estimation in woody ecosys- tems.Forest Ecol Manage 358, 303-320.
20 Xiao ZQ, Liang SL, Wang JD, Chen P, Yin XJ, Zhang LQ, Song JL (2014). Use of general regression neural networks for generating the glass leaf area index product from time-series MODIS surface reflectance.IEEE Trans Geosci Remote Sens 52, 209-223.
21 Xu XR, Fan WJ, Tao X (2009). The spatial scaling effect of continuous canopy leaves area index retrieved by remote sensing.Sci China Ser D: Earth Sci 52, 393-401.
Outlines

/