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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2024 Volume 16, Issue 6, Pages 1447–1465 (Mi crm1227)

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Model of assimilation potential in lake ecosystem on the example of biogenic pollutants

A. A. Tskhaia, M. A. Romanovb, V. A. Kupriianovb

a Institute for Water and Environmental Problems, Siberian Branch of Russian Academy of Sciences, 1 Molodezhnaya st., Barnaul, 656038, Russia
b Polzunov Altai State Technical University, 46 Lenin av., Barnaul, 656038, Russia

Abstract: A model of biogeochemical cycles for nutrient transformation in the ecosystem of a water body has been developed using the example of the Lake Teletskoye (TL) to assess its assimilation potential in the absence of direct measurements for total nitrogen and phosphorus concentrations, instead of which the corresponding simulated data. The validity is justified by checking the adequacy of the simulation results to the data of average monthly long-term observations for all variables of the state for model. The model was calibrated with taking into account data from observations of water quality in 1985–2003, as well as a scenario version of the hydrological regime in 2016. The analysis of the intra-annual changeability of state variables, nitrogen and phosphorus inputs and outputs in TL water is given. The preliminary values of the permissible load N and P on the lake is accessed. The model analysis showed that the lake has practically no assimilation potential with respect to phosphorus compounds. The corresponding values of concentrations are equal to: $P_{\text{tot.}}$ = 0.013 gP/m$^{3}$, which is equal to the average annual content over the period of 18-year observations. The threshold content of $N_{\text{tot.}}$ = 0.895 gN/m$^{3}$. The assimilation potential for nitrogen is small, within the second significant digit after the decimal point, bearing in mind that its simulated average annual value is 0.836 gN/m$^{3}$. The results of simulation indicate that the TL waters, due to the low water temperatures, along with their unique purity, differ in an extremely poorly developed community of hydrobionts. In the case of other lakes, the increase of anthropogenic pressure could be mitigated by utilization due to the vital activity of sufficiently developed hydrobionts communities. Here, there is no sufficient self-purification resource, and a relatively small increase in anthropogenic load can lead to a violation of the sustainability.

Keywords: Lake Teletskoye, mathematical model, limnology, transformation, biogeochemical cycle, nitrogen, phosphorus, pollution, assimilation

UDC: 556.551

Received: 20.08.2024
Revised: 16.10.2024
Accepted: 28.10.2024

DOI: 10.20537/2076-7633-2024-16-6-1447-1465



© Steklov Math. Inst. of RAS, 2025