Skip to main content
Log in

Comparative analysis of nonlinear growth curve models for Arabidopsis thaliana rosette leaves

  • Original Article
  • Published:
Acta Physiologiae Plantarum Aims and scope Submit manuscript

Abstract

As a model organism, modeling and analysis of the phenotype of Arabidopsis thaliana (A. thaliana) leaves for a given genotype can help us better understand leaf growth regulation. A. thaliana leaves growth trajectories are to be nonlinear and the leaves contribute most to the above-ground biomass. Therefore, analysis of their change regulation and development of nonlinear growth models can better understand the phenotypic characteristics of leaves (e.g., leaf size) at different growth stages. In this study, every individual leaf size of A. thaliana rosette leaves was measured during their whole life cycle using non-destructive imaging measurement. And three growth models (Gompertz model, logistic model and Von Bertalanffy model) were analyzed to quantify the rosette leaves growth process of A. thaliana. Both graphical (plots of standardized residuals) and numerical measures (AIC, R2 and RMSE) were used to evaluate the fitted models. The results showed that the logistic model fitted better in describing the growth of A. thaliana leaves compared to Gompertz model and Von Bertalanffy model, as it gave higher R2 and lower AIC and RMSE for the leaves of A. thaliana at different growth stages (i.e., early leaf, mid-term leaf and late leaf).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Archontoulis SV, Miguez FE (2015) Nonlinear regression models and applications in agricultural research. Agron J 107:786–797

    Article  Google Scholar 

  • Baute J, Herman D, Coppens F, De BJ, Slabbinck B, Dell’Acqua M, Pè ME, Maere S, Nelissen H, Inzé D (2015) Correlation analysis of the transcriptome of growing leaves with mature leaf parameters in a maize RIL population. Genom Biol 16:168

    Article  CAS  Google Scholar 

  • Birch CPD (1999) A new generalized logistic sigmoid growth equation compared with the Richards growth equation. Ann Bot 83:713–723

    Article  Google Scholar 

  • Blanco FF, Vinícius M (2003) A new method for estimating the leaf area index of cucumber and tomato plants. Horticult Br 21:666–669

    Article  Google Scholar 

  • Córcoles JI, Domínguez A, Moreno MA, Ortega JF, Juan JAD (2015) A non-destructive method for estimating onion leaf area. Irish J Agric Food Res 54:17–30

    Article  Google Scholar 

  • Dawed MY, Koya PR, Goshu AT (2014) Mathematical modelling of population growth: the case of logistic and Von Bertalanffy models. Open J Model Simul 2:113–126

    Article  Google Scholar 

  • Ge Y, Bai G, Stoerger V, Schnable JC (2016) Temporal dynamics of maize plant growth, water use, and leaf water content using automated high throughput RGB and hyperspectral imaging. Comput Electron Agric 127:625–632

    Article  Google Scholar 

  • Golzarian MR, Frick RA, Rajendran K, Berger B, Roy S, Tester M, Lun DS (2011) Accurate inference of shoot biomass from high-throughput images of cereal plants. Plant Methods 7:2

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Gómez-garcía E, Crecente-campo F, Tobin B, Hawkins M, Nieuwenhuis M, Diéguez-Aranda U (2014) A dynamic volume and biomass growth model system for even-aged downy birch stands in south-western Europe. For Int J For Res 87:165–176

    Google Scholar 

  • Gonzalez N, Inzé D (2015) Molecular systems governing leaf growth: from genes to networks. J Exp Bot 66:1045–1054

    Article  PubMed  CAS  Google Scholar 

  • Gonzalez N, De BS, Sulpice R, Jikumaru Y, Chae E, Dhondt S, Van DT, De ML, Weigel D, Kamiya Y, Stitt M, Beemster GTS, Inzé D (2010) Increased leaf size: different means to an end. Plant Physiol 153:1261–1279

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Gonzalez N, Vanhaeren H, Inzé D (2012) Leaf size control: complex coordination of cell division and expansion. Trends Plant Sci 17:332–340

    Article  PubMed  CAS  Google Scholar 

  • Grimm KJ, Ram N, Hamagami F (2011) Nonlinear growth curves in developmental research. Child Dev 82:1357–1371

    Article  PubMed  PubMed Central  Google Scholar 

  • Ismail Z, Khamis A, Jaafar MY (2003) Fitting nonlinear Gompertz curve to tobacco growth data. J Agron 4:223–236

    Google Scholar 

  • Jansen M, Gilmer F, Biskup B, Nagel KA, Rascher U, Fischbach A, Briem S, Dreissen G, Tittmann S, Braun S, De Jaeger I, Metzlaff M, Schurr U, Scharr H, Walter A (2009) Simultaneous phenotyping of leaf growth and chlorophyll fluorescence via GROWSCREEN FLUORO allows detection of stress tolerance in Arabidopsis thaliana and other rosette plants. Funct Plant Biol 36:902–914

    Article  CAS  Google Scholar 

  • Karadavut U, PALTA† Ç, KÖKTEN K, BAKOĞLU‡ A (2010) Comparative study on some non-linear growth models for describing leaf growth of maize. Int J Agric Biol 12:227–230

    Google Scholar 

  • Massonnet C, Vile D, Fabre J, Hannah MA, Caldana C, Lisec J, Beemster GTS, Meyer RC, Messerli G, Gronlund JT, Perkovic J, Vigmore E, May S, Bevan MW, Meyer C, Rubio-Dı´az S, Weigel D, Micol JL, Buchanan-Wollaston V, Fiorani F, Walsh S, Rinn B, Gruissem W, Hilson P, Henning L, Willmitzer L, Granier C (2010) Probing the reproducibility of leaf growth and molecular phenotypes: a comparison of three Arabidopsis accessions cultivated in ten laboratories. Plant Physiol 152:2142–2157

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Md Matiur R, Dijun C, Zeeshan G, Christian K, Ming C (2015) Advanced phenotyping and phenotype data analysis for the study of plant growth and development. Front Plant Sci 6:619

    Google Scholar 

  • Mendozade Gyves E, Rouphael Y, Cristofori V, Cristofori V, Rosana Mira F (2007) A non-destructive, simple and accurate model for estimating the individual leaf area of kiwi (Actinidia deliciosa). Fruits 62:171–176

    Article  Google Scholar 

  • Neilson EH, Edwards AM, Blomstedt CK, Berger B, Moller BL, Gleadow RM (2015) Utilization of a high-throughput shoot imaging system to examine the dynamic phenotypic responses of a C4 cereal crop plant to nitrogen and water deficiency over time. J Exp Bot 66:1817–1832

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Nelissen H, Gonzalez N, Inzé D (2016) Leaf growth in dicots and monocots: so different yet so alike. Curr Opin Plant Biol 33:72–76

    Article  PubMed  Google Scholar 

  • Olfati JA, Peyvast G, Shabani H, Nosratie-Rad Z (2010) An estimation of individual leaf area in cabbage and broccoli using non-destructive methods. JAgric Sci Technol 12:627–632

    Google Scholar 

  • Paine CET, Marthews TR, Vogt DR, Vogt DR, Purves D, Rees M, Hector A, Turnbull LA (2012) How to fit nonlinear plant growth models and calculate growth rates: an update for ecologists. Method Ecol Evolut 3:245–256

    Article  Google Scholar 

  • Pandey P, Ge Y, Stoerger V, Schnable JC (2017) High throughput in vivo analysis of plant leaf chemical properties using hyperspectral imaging. Front Plant Sci 8:1348

    Article  PubMed  PubMed Central  Google Scholar 

  • Silva RTLD, Oliveira LMD, Andrade ACD, Lima LGSL, Oliveira RLLD, Melo ÉC, Neto CFOD, Lobato AKDS (2013) Simple, fast, and non-destructive method to estimate the leaf area in Piper nigrum plants. J Food Agric Environ 11:1480–1486

    Google Scholar 

  • Silva RTLD, Souza LCD, Nishijima T, Fronza D, Moreira WKO, Neto CF, Conceição HEOD, Monfort LEF, Lucas FDO, Okumura RS (2015) Mathematical model to estimate leaf area of guava (Psidium guajava). J Food Agric Environ 13:101–106

    Google Scholar 

  • Tester M, Langridge P (2010) Breeding technologies to increase crop production in a changing world. Science 327:818–822

    Article  PubMed  CAS  Google Scholar 

  • Vanhaeren H, Gonzalez N, Inzé D (2015) A journey through a leaf: phenomics analysis of leaf growth in Arabidopsis thaliana. Arabidopsis Book 13:e181

    Article  Google Scholar 

  • Walter A, Silk WK, Schurr U (2009) Environmental effects on spatial and temporal patterns of leaf and root growth. Annu Rev Plant Biol 60:279–304

    Article  PubMed  CAS  Google Scholar 

  • Wardhani WS, Kusumastuti P (2013) Describing the height growth of corn using Logistic and Gompertz model. Agrivita 35:237–241

    Article  Google Scholar 

  • Wei H, Deng X, Ouyang S, Chen L, Chu Y (2017) Growth process and model simulation of three different classes of Schima superba in a natural subtropical forest in China. IOP Conf Ser Earth Environ Sci 52:1–9

    Google Scholar 

  • Xiangxiang W, Quanjiu W, Jun F, Lijun S Xinlei S (2014) Logistic model analysis of winter wheat growth on China’s Loess Platea. Can J Plant Sci 94:1471–1479

    Article  Google Scholar 

  • Yang FQ, Feng HK, Li ZH, Gao L, Yang GJ, Dai HY (2016) Hyperspectral estimation of leaf area index for winter wheat based on Akaike’s information criterion. Trans Chin Soc Agric Eng 3:163–168

    Google Scholar 

  • Yin X, Goudriaan J, Lantinga EA, Vos J, Spiertz HJ (2003) A flexible sigmoid function of determinate growth. Ann Bot 91:361–371

    Article  PubMed  PubMed Central  Google Scholar 

Download references

Acknowledgements

The authors sincerely appreciate the National Natural Science Foundation of China (31371963), Natural Science Foundation of Jiangsu Province (BK20130965), Postgraduate research and Practice Innovation Program of Jiangsu Province (KYZZ16_0316) and Qing Lan Project of Jiangsu Province for supporting the research financially. The authors also express their gratitude to the editors and anonymous reviewers, whose comments and suggestions were extremely valuable for the improvement of the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Huichun Zhang.

Additional information

Communicated by B. Zheng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiao, X., Zhang, H., Zheng, J. et al. Comparative analysis of nonlinear growth curve models for Arabidopsis thaliana rosette leaves. Acta Physiol Plant 40, 114 (2018). https://doi.org/10.1007/s11738-018-2686-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11738-018-2686-8

Keywords

Navigation