It is worth highlighting that, for the first time to the best of our knowledge, vertical profiles of atmospheric parameters and $C_n^2$ were measured at Lhasa, south of the Tibetan Plateau, using balloon-borne radiosondes. Based on the measurements, two new statistical models (Lhasa HMN and Lhasa Dewan) for estimating turbulence strength are proposed. Attention has been paid to evaluate the reliability of the two models to reconstruct vertical profiles of $C_n^2$ from a statistical perspective. The statistical analyses presenting the Lhasa HMN model are accompanied with lower bias, root mean square error (RMSE), and bias-corrected RMSE ($\sigma$) than those of the Lhasa Dewan model, which implies the Lhasa HMN model can better reveal the nature of turbulence characteristics of Lhasa influenced by unique local weather conditions. In addition, the comparison between the Lhasa HMN model and measurements in calculating integrated astroclimatic parameters is carried out, and the result suggests that the performance of the Lhasa HMN model is reliable and satisfactory. The new reliable $C_n^2$ model offers new insight into the characteristics of optical turbulence at Lhasa and provides support for pursuing astronomical site selection in the Tibetan Plateau.

中文翻译：

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新的$ \ text {C} _ {n} ^ {2} $统计模型基于对拉萨的首次探空仪湍流观测。

值得强调的是，就我们所知，这是首次使用气球无线电探空仪在青藏高原南部的拉萨测量了大气参数和C_n ^ 2 $的垂直剖面。基于这些测量，提出了两个新的统计模型（拉萨HMN和拉萨Dewan）来估算湍流强度。从统计的角度，已经注意评估两个模型的可靠性，以重建$ C_n ^ 2 $的垂直剖面。呈现拉萨HMN模型的统计分析伴随较低的偏差，均方根误差（RMSE）和偏差校正的RMSE（$ \ sigma $）比拉萨Dewan模型的模型更暗，这意味着拉萨HMN模型可以更好地揭示受当地独特天气条件影响的拉萨湍流特征的性质。此外，对拉萨HMN模型与实测综合气象参数的测量结果进行了比较，结果表明，拉萨HMN模型的性能可靠，令人满意。新的可靠的$ C_n ^ 2 $模型提供了对拉萨光学湍流特征的新见解，并为在青藏高原进行天文学选址提供了支持。