Abstract
A numerical simulation of the spatial–temporal dynamics of a multi-parameter system has been developed. The components of this system are plant biomass, the mobile and stationary forms of mineral nutrition elements, rhizosphere microorganisms, and environmental parameters (temperature, humidity, and acidity). Parametric identification and verification of the adequacy of the model were carried out based on the experimental data on the growth of Krasnoufimskaya-100 spring wheat on peat lowland soil. The results are represented by temporal distributions of biomass from agricultural crops and the findings on the contents of the main nutrition elements within the plant (nitrogen, phosphorus, and potassium). An agronomic assessment and interpretation of the results are given.
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REFERENCES
E. P. Kolpak and M. V. Stolbovaya, Zh. Nauch. Publ. Aspirantov i Doktorantov (2013). http://jurnal.org/articles/2013/mat7.html.
N. S. Strigul’, Extended Abstract od Candidate’s Dissertation in Biology (St. Petersburg, 2000).
A. I. Abakumov, in Mathematical Modeling in Ecology (Pushchino, 2011), pp. 18–19.
I. M. Mikhailenko, S-kh. Biol., № 1, 103 (2007).
A. S. Komarov, Yu. S. Khoras’kina, S. S. Bykhovets, et al., Mat. Biol. Bioinform. 7 (1), 162 (2012.
M.-C. Braakhekke, T. Wutzler, C. Beer et al., Biogeosciences, No 10, 399 (2013).
V. G. Mineev, Agrochemistry (KolosS, Moscow, 2004) [in Russian].
D. S. Orlov, Soil Chemistry (Moscow State Univ., Moscow, 1992) [in Russian].
A. Kabata-Pendias and H. Pendias, Trace Elements in Soils and Plants (CRC, Boca Raton, FL, 1985; Mir, Moscow, 1989).
Yu. M. Svirezhev, Nonlinear Waves, Dissipative Structures, and Disasters in Ecology (Nauka, Moscow, 1987) [in Russian].
N. V. Feoktistova, A. M. Mardanova, G. M. Khadieva, and M. R. Sharipova, Uch. Zap. Kazan. Univ., Ser. Estestv. Nauki 158, 207 (2016).
O. E. Bezzubenkova, M. N. Yukhimova, and N. I. Nesterova, Estestv. Tekh. Nauki 4, 99 (2012).
V. P. Ivanov, Root Secretions and Their Significance in the Life of Phytocenosis (Nauka, Moscow, 1973) [in Russian].
G. Yu. Riznichenko and A. V. Rubin, Mathematical Models of Biological Production Processes (Moscow State Univ., Moscow, 1993) [in Russian].
A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov, and A. P. Mikhailov, Tightened Conditions in the Problems for Quasi-Linear Parabolic Equations Nauka, Moscow, 1987) [in Russian].
J. Murray, Mathematical Biology: I. An Introduction (Springer, New-York, 2002).
A. Beneduzi, A. Ambrosini, and L. M. Passaglia, Genet. Mol. Biol. 35 (Suppl. 4), 1044 (2012).
T. Roose, S. D. Keyes, K. R. Daly, et al., Plant Soil, No. 407, 9 (2016).
L. A. Khvorova, A. G. Topazh, A. V. Abramova, and K. G. Neupakoeva, Izv. Altaisk. Gos. Univ., № 1-1 (85), 192 (2015).
N. S. Bakhvalov and G. P. Panasenko, Averaging of Processes in Periodic Media (Nauka, Moscow, 1984) [in Russian].
M. A. Celia, E. T. Bouloutas, and R. L. Zabra, Water Resource Res. 26 (7), 1483 (1990).
N. A. Sladkova, Candidate’s Dissertation in Biology (St. Petersburg, 2016).
Plant Breeding, Ed. by L. A. Posypanov (KolosS, Moscow, 1997) [in Russian].
Plant Breeding with Fundamentals of Selection and Seed Farming, Ed. by G. V. Korneev (Agropromizdat, Moscow, 1990) [in Russian].
Y. Bard, Nonlinar Parameter Estimation (Academic, 1974; Statistika, Moscow, 1979).
V. P. Dyakonov, MATLAB: A Self-Teaching Guide (DMK Press, Moscow, 2012) [in Russian].
B. A. Dospekhov, Methodology of Field Experiment (Agropromizdat, Moscow, 1985) [in Russian].
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Chetyrbotskiy, V.A., Chetyrbotskiy, A.N. & Levin, B.V. Mathematical Modeling of the Dynamics of Plant Mineral Nutrition in the Fertilizer–Soil–Plant System. BIOPHYSICS 65, 1036–1045 (2020). https://doi.org/10.1134/S0006350920060032
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DOI: https://doi.org/10.1134/S0006350920060032