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Variations in thermokarst lake area, lake water depth, lake age, air temperature, permafrost condition, and other environmental variables could have important influences on the mean annual lake bottom temperature (MALBT) and thus affect the ground thermal regime and talik development beneath the lakes through their direct impacts on the MALBT. A lake expanding model was employed for examining the impacts of variations in the MALBT on talik development and permafrost degradation beneath expanding thermokarst lakes in the Beiluhe Basin on the Qinghai–Tibetan Plateau (QTP). All required boundary and initial conditions and model parameters were determined based on field measurements. Four simulation cases were conducted with different respective fitting sinusoidal functions of the MALBTs at 3.75 °C, 4.5 °C, 5.25 °C, and 6.0 °C. The simulated results show that for lakes with MALBTs of 3.75 °C, 4.5 °C, 5.25 °C, and 6.0 °C, the maximum thicknesses of bowl-shaped talik below the lakes at year 300 were 27.2 m, 29.6 m, 32.0 m, and 34.4 m; funnel-shaped open taliks formed beneath the lakes at years 451, 411, 382, and 356 after the formation of thermokarst lakes, with mean downward thaw rates of 9.1 m/year, 10.2 m/year, 11.2 m/year, and 12.0 m/year, respectively. Increases in the MALBT from 3.75 °C to 4.52 °C, 4.25 °C to 5.25 °C, and 5.25 °C to 6.0 °C respectively resulted in the permafrost with a horizontal distance to lake centerline less than or equal to 45 m thawing completely 36 years, 32 years, and 24 years in advance, and the maximum ground temperature increases at a depth of 40 m below the lakes at year 600 ranged from 2.16 °C to 2.80 °C, 3.57 °C, and 4.09 °C, depending on the MALBT. The ground temperature increases of more than 0.5 °C at a depth of 40 m in year 600 occurred as far as 74.9 m, 87.2 m, 97.8 m, and 106.6 m from the lake centerlines. The simulation results also show that changes in the MALBT almost have no impact on the open talik lateral progress rate, although the minimum distances from the open talik profile to lake centerlines below the lakes with different MALBTs exhibited substantial differences.

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Quantifying Impacts of Mean Annual Lake Bottom&#x0D; Temperature on Talik Development and Permafrost&#x0D; Degradation below Expanding Thermokarst Lakes on&#x0D; the Qinghai–Tibet Plateau

Quantifying Impacts of Mean Annual Lake Bottom Temperature on Talik Development and Permafrost Degradation below Expanding Thermokarst Lakes on the Qinghai–Tibet Plateau