Allometric models for leaf area and leaf mass predictions across different growing seasons of elm tree (Ulmus japonica)

Abstract

Convenient and effective methods to determine seasonal changes in individual leaf area (LA) and leaf mass (LM) of plants are useful in research on plant physiology and forest ecology. However, practical methods for estimating LA and LM of elm (Ulmus japonica) leaves in different periods have rarely been reported. We collected sample elm leaves in June, July and September. Then, we developed allometric models relating LA, LM and leaf parameters, such as leaf length (L) and width (W) or the product of L and W (LW). Our objective was to find optimal allometric models for conveniently and effectively estimating LA and LM of elm leaves in different periods. LA and LM were significantly correlated with leaf parameters (P < 0.05), and allometric models with LW as an independent variable were best for estimating LA and LM in each period. A linear model was separately developed to predict LA of elm leaves in June, July and September, and it yielded high accuracies of 93, 96 and 96%, respectively. Similarly, a specific allometric model for predicting LM was developed separately in three periods, and the optimal model form in both June and July was a power model, but the linear model was optimal for September. The accuracies of the allometric models in predicting LM were 88, 83 and 84% for June, July and September, respectively. The error caused by ignoring seasonal variation of allometric models in predicting LA and LM in the three periods were 1–4 and 16–59%, respectively.

Keywords

Leaf length / Leaf width / Linear model / Power model / Non-destructive method

References

[1] Baille M, Baille A, Delmon D. Microclimate and transpiration of greenhouse rose crops. Agric For Meteorol, 1994, 71(s1–2): 83-97.

[2] Bell A. Plant form: an illustrated guide to flowering plant morphology, 1991, London: Oxford University Press.

[3] Buttaro D, Rouphael Y, Rivera CM, Colla G, Gonnella M. Simple and accurate allometric model for leaf area estimation in Vitis vinifera L. genotypes. Photosynthetica, 2015, 53(3): 342-348.

[4] Cristofori V, Rouphael Y, Mendoza-de Gyves E, Bignami C. A simple model for estimating leaf area of hazelnut from linear measurements. Sci Hortic, 2007, 113(2): 221-225.

[5] Daughtry CST. Direct measurements of canopy structure. Remote Sens Rev, 1990, 5(1): 45-60.

[6] Demirsoy H, Demirsoy L, Uzun S, Ersoy B. Non-destructive leaf area estimation in peach. Eur J Hortic Sci, 2004, 69(4): 144-146.

[7] Demirsoy H, Demirsoy L, Öztürk A. Improved model for the non-destructive estimation of strawberry leaf area. Fruits, 2005, 60(1): 69-73.

[8] Fallovo C, Cristofori V, de-Gyves EM, Rivera CM, Rea R, Fanasca S, Bignami C, Sassine Y, Rouphael Y. Leaf area estimation model for small fruits from linear measurements. HortScience, 2008, 43(7): 2263-2267.

[9] Gao M, Van der Heijden G, Vos J, Eveleens B, Marcelis L. Estimation of leaf area for large scale phenotyping and modeling of rose genotypes. Sci Hortic, 2012, 138: 227-234.

[10] Gebauer R, Vanbeveren SPP, Volařík D, Plichta R, Ceulemans R. Petiole and leaf traits of poplar in relation to parentage and biomass yield. For Ecol Manag, 2016, 362: 1-9.

[11] Gill J. Outliers, residuals, and influence in multiple regression. J Anim Breed Genet, 1986, 103(1–5): 161-175.

[12] Katsoulas N, Baille A, Kittas C. Effect of misting on transpiration and conductances of a greenhouse rose canopy. Agric For Meteorol, 2001, 106(3): 233-247.

[13] Keramatlou I, Sharifani M, Sabouri H, Alizadeh M, Kamkar B. A simple linear model for leaf area estimation in Persian walnut (Juglans regia L.). Sci Hortic, 2015, 184: 36-39.

[14] Liu ZL, Wang XC, Chen JM, Wang CK, Jin GZ. On improving the accuracy of digital hemispherical photography measurements of seasonal leaf area index variation in deciduous broadleaf forests. Can J For Res, 2015, 45: 721-731.

[15] Liu ZL, Wang CK, Chen JM, Wang XC, Jin GZ. Empirical models for tracing seasonal changes in leaf area index in deciduous broadleaf forests by digital hemispherical photography. For Ecol Manag, 2015, 351: 67-77.

[16] Marquard RD. Influence of leaf to fruit ratio on nut quality, shoot carbohydrates, and photosynthesis of pecan. HortScience, 1987, 22: 256-257.

[17] Marquardt DW. Generalized inverse, ridge regression and biased linear estimation. Technometrics, 1970, 12: 591-612.

[18] Meng F, Zhang G, Li X, Niklas KJ, Sun S. Growth synchrony between leaves and stems during twig development differs among plant functional types of subtropical rainforest woody species. Tree Physiol, 2015, 35(6): 621-631.

[19] Milla R, Reich PB. The scaling of leaf area and mass: the cost of light interception increases with leaf size. Proc R Soci Lond B Biol Sci, 2007, 274(1622): 2109-2114.

[20] Montero F, De Juan J, Cuesta A, Brasa A. Nondestructive methods to estimate leaf area in Vitis vinifera L. HortScience, 2000, 35(4): 696-698.

[21] Olfati JA, Peyvast G, Sanavi M, Salehi M, Mahdipour M, Nosratie-Rad Z. Comparisons of leaf area estimation from linear measurements of red cabbage. Int J Veg Sci, 2009, 15(2): 185-192.

[22] Peksen E. Non-destructive leaf area estimation model for faba bean (Vicia faba L.). Sci Hortic, 2007, 113(4): 322-328.

[23] Rivera CM, Rouphael Y, Cardarelli M, Colla G. A simple and accurate equation for estimating individual leaf area of eggplant from linear measurements. Eur J Hortic Sci, 2007, 72(5): 228-230.

[24] Rouphael Y, Colla G, Fanasca S, Karam F. Leaf area estimation of sunflower leaves from simple linear measurements. Photosynthetica, 2007, 45(2): 306-308.

[25] Swart EAMD, Groenwold R, Kanne HJ, Stam P, Marcelis LFM, Voorrips RE. Non-destructive estimation of leaf area for different plant ages and accessions of Capsicum annuum L. J Hortic Sci Biotechnol, 2004, 79(5): 764-770.

[26] Tondjo K, Brancheriau L, Sabatier S-A, Kokutse A, Akossou A, Kokou K, Fourcaud T. Non-destructive measurement of leaf area and dry biomass in Tectona grandis. Trees, 2015, 29(5): 1625-1631.

[27] Weraduwage SM, Chen J, Anozie FC, Morales A, Weise SE, Sharkey TD. The relationship between leaf area growth and biomass accumulation in Arabidopsis thaliana. Front Plant Sci, 2015, 6: 167.

[28] Williams L, Martinson TE. Nondestructive leaf area estimation of ‘Niagara’ and ‘DeChaunac’ grapevines. Sci Hortic, 2003, 98(4): 493-498.

[29] Wright IJ, Reich PB, Westoby M, Ackerly DD, Baruch Z, Bongers F, Cavender-Bares J, Chapin T, Cornelissen JHC, Diemer M, Flexas J, Garnier E, Groom PK, Gulias J, Hikosaka K, Lamont BB, Lee T, Lee W, Lusk C, Midgley JJ, Navas M-L, Niinemets U, Oleksyn J, Osada N, Poorter H, Poot P, Prior L, Pyankov VI, Roumet C, Thomas SC, Tjoelker MG, Veneklaas EJ, Villar R. The worldwide leaf economics spectrum. Nature, 2004, 428(6985): 821-827.