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1

Phan, Trung Nghia, Anthony Kwan Leung, Thanh Son Nguyen, Viroon Kamchoom, and Suched Likitlersuang. "Modelling root decomposition effects on root reinforcement and slope stability." Computers and Geotechnics 179 (March 2025): 107024. https://doi.org/10.1016/j.compgeo.2024.107024.

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2

Chopart, Jean-Louis, Silvia Rosa Rodrigues, Mateus Carvalho de Azevedo, and Cristiane de Conti Medina. "Estimating sugarcane root length density through root mapping and orientation modelling." Plant and Soil 313, no. 1-2 (2008): 101–12. http://dx.doi.org/10.1007/s11104-008-9683-4.

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3

Fata, Yulia Amirul, Hendrayanto Hendrayanto, Erizal Erizal, Suria Darma Tarigan, and Takeshi Katsumi. "Modelling of mechanical roots on slope stability." Journal of Degraded and Mining Lands Management 10, no. 4 (2023): 4779. http://dx.doi.org/10.15243/jdmlm.2023.104.4779.

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Анотація:
Root system mechanical reinforcement through root-soil cohesion on slope stability is important. However, the root cohesion of <em>Tectona grandis</em>, <em>Maesopsis eminii</em>, and shrubs (<em>Chromolaena odorata</em>) on slope stability is rarely studied and modelled. This study aimed to model the mechanical effect of vegetation through root cohesion, namely teak (<em>Tectona grandis</em>), <em>Maesopsis eminii</em>, and shrubs (<em>Chromolaena odorata</em>). The study was conducted in a simultaneous landslide on Janua
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4

Sposaro, M. M., P. M. Berry, M. Sterling, A. J. Hall, and C. A. Chimenti. "Modelling root and stem lodging in sunflower." Field Crops Research 119, no. 1 (2010): 125–34. http://dx.doi.org/10.1016/j.fcr.2010.06.021.

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5

Tobin, B., J. Čermák, D. Chiatante, et al. "Towards developmental modelling of tree root systems." Plant Biosystems - An International Journal Dealing with all Aspects of Plant Biology 141, no. 3 (2007): 481–501. http://dx.doi.org/10.1080/11263500701626283.

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6

Sonnenberg, R., M. F. Bransby, P. D. Hallett, A. G. Bengough, S. B. Mickovski, and M. C. R. Davies. "Centrifuge modelling of soil slopes reinforced with vegetation." Canadian Geotechnical Journal 47, no. 12 (2010): 1415–30. http://dx.doi.org/10.1139/t10-037.

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This paper reports a series of geotechnical centrifuge model tests conducted to investigate the mechanical reinforcement of slopes by vegetation. Some of the model slopes contained young willow trees, which were grown in controlled conditions to provide different root distributions and mechanical properties. Slopes were brought to failure in the centrifuge by increasing water pressures. The failure mechanisms were investigated photographically and using post-test excavation. By measuring the soil properties and pore pressures in each test when failure occurred, slope stability calculations cou
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7

Sonnenberg, R., M. F. Bransby, A. G. Bengough, P. D. Hallett, and M. C. R. Davies. "Centrifuge modelling of soil slopes containing model plant roots." Canadian Geotechnical Journal 49, no. 1 (2012): 1–17. http://dx.doi.org/10.1139/t11-081.

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Анотація:
A series of centrifuge model tests were conducted to investigate the contribution of root reinforcement to slope stability. A compacted sandy clay slope, inclined at 45°, was reinforced with model roots. The model roots were varied in material, architecture, and numbers. They had stiffness values corresponding to upper and lower values found for plant roots. The architecture included taproots and branched roots. Slope collapse was triggered by raising the water table while soil displacements, pore-water pressures, and root strains were measured. The mode of failure was changed by the presence
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8

Dyson, Ashley P., Ali Tolooiyan, and D. V. Griffiths. "Numerical Modelling Techniques for Stability Analysis of Slopes Reinforced with Shallow Roots." Geotechnics 3, no. 2 (2023): 278–300. http://dx.doi.org/10.3390/geotechnics3020016.

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Анотація:
It is well recognised that plant vegetation and roots are capable of improving the shear strength of hillslopes by reinforcing soil shear resistance. Several key factors influencing the level of slope reinforcement include root geometry, orientation and strength. To assess the mechanical performance of vegetated slopes using numerical methods, root structures can be represented by beam and pile elements to mirror root behaviour. In contrast, root reinforcement can be modelled indirectly through a root cohesion factor, supplying additional strength to the soil surrounding the root zone. In this
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9

Soethe, N., J. Lehmann, and C. Engels. "Root tapering between branching points should be included in fractal root system analysis." Ecological Modelling 207, no. 2-4 (2007): 363–66. http://dx.doi.org/10.1016/j.ecolmodel.2007.05.007.

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10

Astore, Miro A., Po-Chia Chen, Shafagh Waters, and Serdar Kuyucak. "Computer modelling the root cause of cystic fibrosis." Biophysical Journal 121, no. 3 (2022): 506a. http://dx.doi.org/10.1016/j.bpj.2021.11.268.

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11

Perona, Paolo, Reto Flury, D. Andrew Barry, and Massimiliano Schwarz. "Tree root distribution modelling in different environmental conditions." Ecological Engineering 185 (December 2022): 106811. http://dx.doi.org/10.1016/j.ecoleng.2022.106811.

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12

Bastian, Peter, Andrés Chavarría-Krauser, Christian Engwer, Willi Jäger, Sven Marnach, and Mariya Ptashnyk. "Modelling in vitro growth of dense root networks." Journal of Theoretical Biology 254, no. 1 (2008): 99–109. http://dx.doi.org/10.1016/j.jtbi.2008.04.014.

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13

Górnicki, K., and A. Kaleta. "Modelling convection drying of blanched parsley root slices." Biosystems Engineering 97, no. 1 (2007): 51–59. http://dx.doi.org/10.1016/j.biosystemseng.2007.02.006.

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14

Toda, S., and K. Itoh. "Modelling of electron root plasmas in helical devices." Plasma Physics and Controlled Fusion 44, no. 5A (2002): A501—A505. http://dx.doi.org/10.1088/0741-3335/44/5a/356.

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15

Hales, Tristram C. "Modelling biome-scale root reinforcement and slope stability." Earth Surface Processes and Landforms 43, no. 10 (2018): 2157–66. http://dx.doi.org/10.1002/esp.4381.

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16

Arowosegbe, Oluwakemi Betty, Tersoo Hulugh, and Pedepo Emmanuel. "Enhancing Supply Chain Resilience Through Predictive Modelling and Root Cause Analysis in Project Management." International Journal of Research Publication and Reviews 5, no. 11 (2024): 3551–67. https://doi.org/10.55248/gengpi.5.1124.3302.

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17

Dunbabin, Vanessa M., Johannes A. Postma, Andrea Schnepf, et al. "Modelling root–soil interactions using three–dimensional models of root growth, architecture and function." Plant and Soil 372, no. 1-2 (2013): 93–124. http://dx.doi.org/10.1007/s11104-013-1769-y.

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18

Guerrero Iñiguez, J. I. "GEOMETRIC MODELLING OF TREE ROOTS WITH DIFFERENT LEVELS OF DETAIL." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences IV-4/W3 (September 25, 2017): 29–35. http://dx.doi.org/10.5194/isprs-annals-iv-4-w3-29-2017.

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Анотація:
This paper presents a geometric approach for modelling tree roots with different Levels of Detail, suitable for analysis of the tree anchoring, potentially occupied underground space, interaction with urban elements and damage produced and taken in the built-in environment. Three types of tree roots are considered to cover several species: tap root, heart shaped root and lateral roots. Shrubs and smaller plants are not considered, however, a similar approach can be considered if the information is available for individual species. The geometrical approach considers the difficulties of modellin
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19

Ni, J. J., A. K. Leung, and C. W. W. Ng. "Modelling effects of root growth and decay on soil water retention and permeability." Canadian Geotechnical Journal 56, no. 7 (2019): 1049–55. http://dx.doi.org/10.1139/cgj-2018-0402.

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Plant roots can change the soil water retention curve (SWRC) and saturated permeability (ksat) of vegetated soils. However, there is no model that could capture both the effects of root growth and root decay on these soil hydraulic properties simultaneously. This note proposes a new void ratio function that can model the decrease and increase in soil void ratio due to root occupancy (upon growth) and root shrinkage (upon decay), respectively, in an unsaturated vegetated coarse-grained soil. The function requires two root parameters; namely, root volume ratio and root decay ratio, both of which
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20

Zhang, X., J. A. Knappett, A. K. Leung, M. O. Ciantia, T. Liang, and F. Danjon. "Small-scale modelling of root-soil interaction of trees under lateral loads." Plant and Soil 456, no. 1-2 (2020): 289–305. http://dx.doi.org/10.1007/s11104-020-04636-8.

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Abstract Aim (1) To understand the tree root-soil interaction under lateral and moment loading using a physical modelling technique; (2) To detect the possible factors (e.g. root architecture, water condition, and stress level) influencing a tree’s push-over behaviour; (3) To identify suitable scaling laws to use in physical modelling. Methods Two 1:20 scaled root models with different architectures (namely, deep and narrow, and shallow and wide) were reconstructed and 3D printed based on the field-surveyed root architecture data. Push-over tests were performed both in elevated-gravity (centri
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21

Green, S. R., I. Vogeler, B. E. Clothier, T. M. Mills, and C. van den Dijssel. "Modelling water uptake by a mature apple tree." Soil Research 41, no. 3 (2003): 365. http://dx.doi.org/10.1071/sr02129.

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Анотація:
We report the results from a field experiment in which we examined the spatial and temporal patterns of water uptake by a mature apple tree (Malus domestica Borkh., 'Splendour') in an orchard. Time domain reflectometry was used to measure changes in the soil's volumetric water content, and heat-pulse was used to monitor locally the rates of sap flow in the trunk and roots of the tree. The tree's distribution of root-length density and supporting data to characterise the soil's hydraulic properties were determined for the purpose of modelling soil water movement in the root-zone under an apple
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22

Świtała, Barbara, and E. Fern. "Constitutive modelling of root-reinforced granular soils – preliminary studies." Przegląd Naukowy Inżynieria i Kształtowanie Środowiska 27, no. 2 (2018): 103–13. http://dx.doi.org/10.22630/pniks.2018.27.2.10.

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A novel solution for the problem of modelling of soil reinforced with vegetation roots. An extension of the Nor–Sand model and its application to granular saturated or dry, soil–root composites. Model implementation in MATLAB: numerical simulations of drained triaxial compression tests, investigation of the sensitivity of the solution to different values of model parameters. Capturing the most important features of soil–root composites. Accounting for the progressive activation of the root’s strength. Indication of the ability of further model application to large-scale problems, such as slope
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23

Schnepf, Andrea, Daniel Leitner, Magdalena Landl, et al. "CRootBox: a structural–functional modelling framework for root systems." Annals of Botany 121, no. 5 (2018): 1033–53. http://dx.doi.org/10.1093/aob/mcx221.

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24

Aurisicchio, Marco, Rob Bracewell, and Becky L. Hooey. "Rationale mapping and functional modelling enhanced root cause analysis." Safety Science 85 (June 2016): 241–57. http://dx.doi.org/10.1016/j.ssci.2015.12.022.

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25

Mao, Zhun, Ming Yang, Franck Bourrier, and Thierry Fourcaud. "Evaluation of root reinforcement models using numerical modelling approaches." Plant and Soil 381, no. 1-2 (2014): 249–70. http://dx.doi.org/10.1007/s11104-014-2116-7.

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26

Chen, Rui, Jun-Wen Huang, Anthony Kwan Leung, Zhong-Kui Chen, Yang Ping, and Ying Xu. "Modelling air conductivity function of unsaturated root-permeated soil." Soil and Tillage Research 227 (March 2023): 105583. http://dx.doi.org/10.1016/j.still.2022.105583.

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27

Zieschang, H. E., P. Brain, and P. W. Barlow. "Modelling of Root Growth and Bending in Two Dimensions." Journal of Theoretical Biology 184, no. 3 (1997): 237–46. http://dx.doi.org/10.1006/jtbi.1996.0259.

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28

Gul, Nadia, Anwar Zeb, Salih Djilali, Mazz Ullah, Zohreh Eskandari, and Thitiporn Linitda. "COVID-19 modelling with square root susceptible-infected interaction." Thermal Science 27, Spec. issue 1 (2023): 323–32. http://dx.doi.org/10.2298/tsci23s1323g.

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Анотація:
We propose a COVID-19 mathematical model related to functional shape with square root susceptible-infected interaction. Using the Hurwitz criterion and then a graph theoretical-method for the construction of a Lyapunov function, we discuss both local and global stability. The analytical solution of the system is obtained in a special case. A non-standard finite difference scheme is then developed with the aim to obtain a proper discrete-time version of the model. Simulations show a good agreement between the proposed discretization and the results given by standard numerical methods.
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29

Sharma, Susan Sunila. "UNDERSTANDING INDONESIA’S MACROECONOMIC DATA: WHAT DO WE KNOW AND WHAT ARE THE IMPLICATIONS?" Buletin Ekonomi Moneter dan Perbankan 21, no. 2 (2018): 229–64. http://dx.doi.org/10.21098/bemp.v21i2.967.

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Unit root properties of macroeconomic data are important for both econometric modelling specifications and policy making. The form of variables (whether they are a unit root process) helps determine the correct econometric modelling. Equally, the form of variables helps explain how they react to shocks (both internal and external). Macroeconomic time-series data are often at the forefront of shock analysis and econometric modelling. There is a growing emphasis on research on Indonesia using time-series data; yet, there is limited understanding of data characteristics and shock response of thes
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30

Mendham, D. S., P. J. Smethurst, P. W. Moody, and R. L. Aitken. "Modelling nutrient uptake: a possible indicator of phosphorus deficiency." Soil Research 35, no. 2 (1997): 313. http://dx.doi.org/10.1071/s96046.

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Анотація:
An understanding of the processes controlling soil nutrient supply and plant uptake has led to process-based models that can predict nutrient uptake and the concentration gradient that develops at the root surface. By using this information, it may be possible to develop an indicator of soil phosphorus status based on the predicted uptake and/or concentration of phosphorus (P) at the root surface. To identify the potential for such a test, the relationships between model output and observed plant growth were examined using data from a published experiment. The experiment was initially designed
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31

Gérard, Frédéric, Céline Blitz-Frayret, Philippe Hinsinger, and Loïc Pagès. "Modelling the interactions between root system architecture, root functions and reactive transport processes in soil." Plant and Soil 413, no. 1-2 (2016): 161–80. http://dx.doi.org/10.1007/s11104-016-3092-x.

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32

Fozard, John A., Malcolm J. Bennett, John R. King, and Oliver E. Jensen. "Hybrid vertex-midline modelling of elongated plant organs." Interface Focus 6, no. 5 (2016): 20160043. http://dx.doi.org/10.1098/rsfs.2016.0043.

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Анотація:
We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale method, which is able to both simulate organ growth and incorporate cell-scale processes. Equations for the evolution of the midline are obtained, which depend on the cell-wall properties of individual cells through appropriate averages over the vertex-based representation. The evolution of the organ midline is used to deform the cellular-scale rep
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33

Noordwijk, M. van, and P. de Willigen. "Quantitative root ecology as element of soil fertility theory." Netherlands Journal of Agricultural Science 34, no. 3 (1986): 273–81. http://dx.doi.org/10.18174/njas.v34i3.16781.

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Анотація:
Nutrient use efficiency with special reference to the soil/plant system, soil fertility theory relating to fertilizers, plant nutrition, soil properties and root ecology and aspects of quantitative root ecology are considered and an approach to modelling the relation of root ecology to soil fertility theory is outlined. (Abstract retrieved from CAB Abstracts by CABI’s permission)
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34

Wang, Enli, and Chris J. Smith. "Modelling the growth and water uptake function of plant root systems: a review." Australian Journal of Agricultural Research 55, no. 5 (2004): 501. http://dx.doi.org/10.1071/ar03201.

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Crop models have been intensively used as a tool to analyse the performance of cropping systems under variable climate in terms of productivity, profitability, and off-site impact. The importance of modelling the function of plant roots in water and nutrient uptake from the soil is becoming increasing clear with the expanding application areas of crop models. This paper reviews the approaches and assumptions used in growth and uptake modelling of plant roots, and how the responses of plant root system to internal and external factors are captured in the widely used crop models. Most modelling
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35

Bengough, A. G., C. J. Mackenzie, and A. J. Diggle. "Relations between root length densities and root intersections with horizontal and vertical planes using root growth modelling in 3-dimensions." Plant and Soil 145, no. 2 (1992): 245–52. http://dx.doi.org/10.1007/bf00010353.

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36

Liang, Hao, Guoqiu Fan, Yinghang Li, and Yandong Zhao. "Theoretical Development of Plant Root Diameter Estimation Based on GprMax Data and Neural Network Modelling." Forests 12, no. 5 (2021): 615. http://dx.doi.org/10.3390/f12050615.

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The in situ non-destructive quantitative observation of plant roots is difficult. Traditional detection methods are not only time-consuming and labor-intensive, but also destroy the root environment. Ground penetrating radar (GPR), as a non-destructive detection method, has great potential in the estimation of root parameters. In this paper, we use GprMax software to perform forward modeling of plant roots under different soil dielectric constants, and analyze the situation of plant roots with different dielectric constants and different root diameters under 1.5 GHz frequency antenna detection
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37

Chen, Ying Long, Vanessa M. Dunbabin, Art J. Diggle, Kadambot H. M. Siddique, and Zed Rengel. "Assessing variability in root traits of wild Lupinus angustifolius germplasm: basis for modelling root system structure." Plant and Soil 354, no. 1-2 (2011): 141–55. http://dx.doi.org/10.1007/s11104-011-1050-1.

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38

Pagès, Loïc, Marie Bernert, and Guillaume Pagès. "Modelling time variations of root diameter and elongation rate as related to assimilate supply and demand." Journal of Experimental Botany 71, no. 12 (2020): 3524–34. http://dx.doi.org/10.1093/jxb/eraa122.

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Анотація:
Abstract In a given root system, individual roots usually exhibit a rather homogeneous tip structure although highly different diameters and growth patterns, and this diversity is of prime importance in the definition of the whole root system architecture and foraging characteristics. In order to represent and predict this diversity, we built a simple and generic model at root tip level combining structural and functional knowledge on root elongation. The tip diameter, reflecting meristem size, is used as a driving variable of elongation. It varies, in response to the fluctuations of photo-ass
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39

Podrug, Srđan, Srečko Glodež, and Damir Jelaska. "Numerical Modelling of Crack Growth in a Gear Tooth Root." Strojniški vestnik – Journal of Mechanical Engineering 7-8, no. 57 (2011): 579–86. http://dx.doi.org/10.5545/sv-jme.2009.127.

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40

White, T. A., and P. J. Gerard. "Modelling the farm scale impacts of clover root weevil herbivory." New Zealand Plant Protection 59 (August 1, 2006): 312–16. http://dx.doi.org/10.30843/nzpp.2006.59.4485.

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Анотація:
Clover root weevil (Sitona lepidus CRW) is a major New Zealand pasture pest This study used computer simulation and decision support modelling to simulate CRW herbivory estimate the longterm consequences on clover abundance pasture production and quality and financial implications to a typical sheep and beef farmer Three farm scenarios were explored the absence of CRW and the presence of CRW with and without additional nitrogen (N) For a hypothetical 325 ha Waikato sheep and beef farm CRW decreased mean clover abundance from 21 to 13 pasture production from 9200 to 7900 kg DM/ha/year pasture q
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41

Li, Ke, Wei Cheng, Xiao Jian Liu, et al. "Mathematical Modelling for the Quality Evaluation of Baikal Skullcap Root." Applied Mechanics and Materials 40-41 (November 2010): 167–73. http://dx.doi.org/10.4028/www.scientific.net/amm.40-41.167.

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Анотація:
In this paper, a model for evaluating the quality of Baikal skullcap root based on the chromatographic fingerprint and pharmacological effect correlation mode was established by using multivariate polynomial fitting technique. This result is new and the accuracy of the model is tested by comparing the modeled results with the experimental data. In addition, a related piece of software was developed. This paper also provides us with a new modelling method for the quality evaluation of traditional Chinese herbal medicine.
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42

Taylor, H. M., D. R. Upchurch, and B. L. McMichael. "Root hydraulic resistance: Implications in modelling nutrient and water uptake." Journal of Plant Nutrition 15, no. 6-7 (1992): 727–36. http://dx.doi.org/10.1080/01904169209364358.

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43

Ni, Junjun, Charles Wang Wai Ng, and Yufeng Gao. "Modelling root growth and soil suction due to plant competition." Journal of Theoretical Biology 484 (January 2020): 110019. http://dx.doi.org/10.1016/j.jtbi.2019.110019.

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44

Custos, Jean-Marc, Christian Moyne, and Thibault Sterckeman. "How root nutrient uptake affects rhizosphere pH: A modelling study." Geoderma 369 (June 2020): 114314. http://dx.doi.org/10.1016/j.geoderma.2020.114314.

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45

Giuliani, Felice, Federico Autelitano, Elisa Degiovanni, and Antonio Montepara. "DEM modelling analysis of tree root growth in street pavements." International Journal of Pavement Engineering 18, no. 1 (2015): 1–10. http://dx.doi.org/10.1080/10298436.2015.1019495.

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46

Robertson, M. J., S. Fukai, G. L. Hammer, and M. M. Ludlow. "Modelling root growth of grain sorghum using the CERES approach." Field Crops Research 33, no. 1-2 (1993): 113–30. http://dx.doi.org/10.1016/0378-4290(93)90097-7.

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JAMES LI, C., HYUNGDAE LEE, and SUK HWAN CHOI. "ESTIMATING SIZE OF GEAR TOOTH ROOT CRACK USING EMBEDDED MODELLING." Mechanical Systems and Signal Processing 16, no. 5 (2002): 841–52. http://dx.doi.org/10.1006/mssp.2001.1452.

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48

Gillespie, Andrew R. "Modelling nutrient flux and interspecies root competition in agroforestry interplantings." Agroforestry Systems 8, no. 3 (1989): 257–65. http://dx.doi.org/10.1007/bf00129653.

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49

White, T. A., and V. O. Snow. "A modelling analysis to identify plant traits for enhanced water-use efficiency of pasture." Crop and Pasture Science 63, no. 1 (2012): 63. http://dx.doi.org/10.1071/cp11250.

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Анотація:
As pressure on water resources increases, pasture species that express traits for improved water-use efficiency (WUE) while maintaining desirable agronomic and production characteristics are needed. The objective of this study was to use a biophysical modelling analysis to test the sensitivity of key pasture plant functional traits on WUE. Biomass production and water use of monocultures of perennial ryegrass (Lolium perenne L.) with varying plant traits were determined under a range of soil, climate, and irrigation conditions. Five plant traits (temperature sensitivity, light extinction, root
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Masi, Elena Benedetta, Samuele Segoni, and Veronica Tofani. "Root Reinforcement in Slope Stability Models: A Review." Geosciences 11, no. 5 (2021): 212. http://dx.doi.org/10.3390/geosciences11050212.

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Анотація:
The influence of vegetation on mechanical and hydrological soil behavior represents a significant factor to be considered in shallow landslides modelling. Among the multiple effects exerted by vegetation, root reinforcement is widely recognized as one of the most relevant for slope stability. Lately, the literature has been greatly enriched by novel research on this phenomenon. To investigate which aspects have been most treated, which results have been obtained and which aspects require further attention, we reviewed papers published during the period of 2015–2020 dealing with root reinforcem
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