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Parameter sensitivity analysis of a root system architecture model based on virtual field sampling

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Abstract

Aims

Traits of the plant root system architecture (RSA) play a key role in crop performance. Therefore, architectural root traits are becoming increasingly important in plant phenotyping. In this study, we use a mathematical model to investigate the sensitivity of characteristic root system measures, obtained from different classical field root sampling schemes, to RSA parameters.

Methods

Root systems of wheat and maize were simulated and sampled virtually to mimic real field experiments using the root system architecture (RSA) model CRootBox. By means of a sensitivity analysis, we found RSA parameters that significantly influenced the virtual field sampling results. To identify correlations between sensitivities, we carried out a principal component analysis.

Results

We found that the parameters of zero order roots are the most sensitive, and parameters of higher order roots are less sensitive. Moreover, different characteristic root system measures showed different sensitivity to RSA parameters. RSA parameters that could be derived independently from different types of field observations were identified.

Conclusions

Selection of characteristic root system measures and parameters is essential to reduce the problem of parameter equifinality in inverse modeling with multi-parameter models and is an important step in the characterization of root traits from field observations.

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Acknowledgements

This work was supported by the Transregional Collaborative Research Centre 32 (TR32), which is funded by the Deutsche Forschungsgemeinschaft (DFG)

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Correspondence to Shehan Morandage.

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Responsible Editor: Anton Wasson.

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Fig. A. 1

Normalized means of absolute elementary effects (μ*) and standard deviations of elementary effects (σ) of the most sensitive RSA parameters on the maximum root length density in vertical root length density profiles derived from soil cores (RMc) first row), on the total root length per surface area derived from soil core measurements (Tc second row), and on the average root count density vertical profile walls (Tt third row). Blue line: 1:1 line, red line: μ* = 2 σ/sqrt(r) line (winter wheat (A) and maize (B) after 240 days and 180 days of simulation time respectively). (PNG 3917 kb)

High Resolution Image (TIF 1176 kb)

Fig. A. 2

Normalized means of absolute elementary effects (μ*) and standard deviations of elementary effects (σ) of the RSA parameters on the depth above which 99% of the total root length is observed (D99) for winter wheat (left) and maize (right) 240 days and 180 days after sowing, respectively. Blue line: 1:1 line, red line: μ* = 2 σ/sqrt(r). (PNG 1403 kb)

High Resolution Image (TIF 420 kb)

Fig. A. 3

Normalized means of absolute elementary effects (μ*) of the most sensitive RSA parameters on root impact densities in vertical transects of trench profiles (RX) at different distances from the stem for winter wheat (left) and maize (right) 240 days and 180 days after sowing, respectively. (PNG 132 kb)

High Resolution Image (TIF 330 kb)

Fig. A. 4

Biplots of parameter loadings for different PCs when all data are combined for the wheat crop. (PNG 609 kb)

High Resolution Image (TIF 1263 kb)

Fig. A. 5

Biplots of parameter loadings for different PCs when all data are combined for the maize crop. (PNG 4537 kb)

High Resolution Image (TIF 1283 kb)

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Morandage, S., Schnepf, A., Leitner, D. et al. Parameter sensitivity analysis of a root system architecture model based on virtual field sampling. Plant Soil 438, 101–126 (2019). https://doi.org/10.1007/s11104-019-03993-3

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  • DOI: https://doi.org/10.1007/s11104-019-03993-3

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