Dynamic stability of arid ecosystems

Kulik, K. N.; Салугин, А. Н.; Sidorova, E. A.

doi:10.1134/s2079096112020047

Cited by 15 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The SVC stability study was carried out on the dynamics models of the BL pasture phytocenoses. Mathematical models are divided into continuous and discrete [9,13,14,17,[25][26][27][28][29][30][31]. The analytical method of continuous models is based on a system of ordinary differential equations (ODEs).…”

Section: Methodsmentioning

confidence: 99%

“…where α ij -transition coefficients, y j -area of the j-th phytocenosis, c j -influence of the external environment. The right parts of the autonomous system describing the succession of the SVC do not contain time [9][10][11]13,14]. The solution of System (1) determines the change in the areas of phytocenoses from time to time in the form of a superposition of exponents.…”

Section: Analytical Modelingmentioning

confidence: 99%

“…Currently, the degradation of the soil and vegetation cover (SVC) of arid pasture ecosystems is global in nature, and its processes are stochastic in nature and are accompanied by erosion, deflation, salinization, and other negative processes [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Models of the Dynamic Stability of Arid Pasture Ecosystems in the South of Russia

Salugin

Vlasenko

2022

Agronomy

View full text Add to dashboard Cite

In this study, the issue of the ecological stability of the soil and vegetation cover of the North-Western Near-Caspian arid zones within the borders of the Black Lands (BL) of the Republic of Kalmykia was considered. Modeling was carried out of the open systems’ thermodynamics principles using continuous and discrete formalisms. Models presented in the form of systems of ordinary differential equations, Markov’s circuits, and autonomous impulse processes show the possibility of their application in the management of pasture feed stocks. Modeling with the systems of differential equations makes it possible to identify points of stable states of pasture systems. Markov circuits are able to establish an optimal animal load on these systems. A computational algorithm for determining the stability of pasture ecosystems using autonomous impulse processes allows optimization problems to be solved to determine the conditions for the spread of external influences. Computational experiments were carried out to determine the parameters of the model corresponding to the sustainable mode of operation in arid pasture ecosystems.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Analytical Modelingmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Models of the Dynamic Stability of Arid Pasture Ecosystems in the South of Russia

Salugin

Vlasenko

2022

Agronomy

View full text Add to dashboard Cite

show abstract

“…Productive moisture in the soil. The observations of plant development and reserves of productive moisture in the soil indicate that less than 10 mm moisture reserves in the arable soil layer are insufficient for the proper formation of seedlings and tillering of cereals [19,20]. The number of decades with dry and arid conditions in the upper soil layer during the growing season characterizes the conditions of plant development.…”

Section: Fig 2 One-time Effective Rainfall At the Experimental Field ...mentioning

confidence: 99%

“…The number of decades with dry and arid conditions in the upper soil layer during the growing season characterizes the conditions of plant development. Kulik (1957) believes that if 0-20 cm layer contains less than 20 mm moisture reserves, than these conditions are arid, if it is less than 10 mm they are dry. The results of observations of the dynamics of moisture reserves in the soil at the control area (without irrigation) during the growing seasons of 2020-2023 are shown in Figure 3.…”

Section: Fig 2 One-time Effective Rainfall At the Experimental Field ...mentioning

confidence: 99%

The crop yield of spring wheat under conditions of the Aridized climate

Ilyin,

Baldanov,

Darzhaev

et al. 2024

BIO Web Conf.

View full text Add to dashboard Cite

Due to the global warming, massive aridization is observed in the Transbaikal territory, including Buryatia, as a result, agriculture is forced to function under conditions of a strict limit of atmospheric and soil moisture. In spring and early summer, the potential evaporation here is 3-5 times higher than the amount of rainfalls, which leads to crop shortages and to a harvest failure. Thus, it is necessary to use irrigation reclamation for the effective management of agricultural production in this territory. This work researches the manifestation of soil drought in alluvial meadow soil. The study of the effect of various doses of mineral fertilizers and maintenance of soil moisture at the lowest moisture level at 70% LMC and 80% LMC showed that maximum yield and minimum water consumption coefficient are provided by maintaining soil moisture above 80% LMC and fertilization with a doubled dose of nitrogen.

show abstract

Modeling of ecosystem dynamics: nonlinearity and synergetics

Салугин

Vlasenko

Кулик

et al. 2019

IOP Conf. Ser.: Earth Environ. Sci.

View full text Add to dashboard Cite

Mathematical modeling and computational experiment of the soil-plant systems (SPS) ecology are forming the basis of analysis and prediction scientific paradigm of more complex ecosystems. The dynamics of processes occurring in open biological systems and phenomena occurring in inorganic environments are comparing in this research. The behavior of systems of biotic and abiotic origin has bifurcation points associated with the nonlinear nature of interaction between the external environment and the elements inside, predetermining the synergy of evolution. During the studying SPS using the example of the Black Lands of the Republic of Kalmykia, a mathematical model of multichannel transitions between elements was developed using the Markov process mechanism. The dynamics of the SPS ecotope destruction and recovery was studied in the approximation of homogeneous Markov chains. Stationary final distributions of the comparison of classes derived from matrices with high degrees revealed bifurcation points, the nonlinearity of the succession process. Mathematical modeling gave the lifetime of an intermediate states stable existence. As a result, the methodology for assessing the ecological status of arid ecosystems using Markov chains has been proposed. The analogy with inorganic systems allowed detailing the process of the origin of bifurcation points. Comparison of the dynamics of open systems «living» and «inanimate» nature has led to their synergistic unity. Nonlinear processes in inorganic environment are qualitatively similar to the dynamics of macroscopic systems in ecology.

show abstract

Dynamic stability of arid ecosystems

Cited by 15 publications

References 0 publications

Mathematical Models of the Dynamic Stability of Arid Pasture Ecosystems in the South of Russia

Mathematical Models of the Dynamic Stability of Arid Pasture Ecosystems in the South of Russia

The crop yield of spring wheat under conditions of the Aridized climate

Modeling of ecosystem dynamics: nonlinearity and synergetics

Contact Info

Product

Resources

About