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The establishment of acceptable risk standards serves as a crucial connection between earthquake disaster risk assessment and risk management. Currently, there lacks a standardized criterion for determining the acceptable level of risk pertaining to earthquake disasters. To establish a standardized system of acceptable risk of earthquake disaster, the data of disaster-affected toll, death toll, and direct economic losses resulting from earthquakes disaster with MS ≥ 5.0 in Chinese Mainland between 1991 and 2020 are utilized. These data are employed to construct the acceptable life risk F–N curve (the accumulated probability F of annual death toll ≥ N—death toll N), the acceptable economic risk F–D curve (the accumulated probability F of annual direct economic losses ≥ D—direct economic losses), and the acceptable comprehensive risk F–L curve (the accumulated probability F with earthquake occurrence of annual disaster degree ≥ L—disaster degree). Then, the acceptable risk level of earthquake disasters with MS5.0–5.9, MS6.0–6.9, MS ≥ 7.0, and MS ≥ 5.0 are determined. Moreover, the classification and consistency of acceptable types of earthquake disaster comprehensive risk, life risk and economic risk in the past 30 years are compared. Through analysis, the acceptable life risk, acceptable economic risk, and acceptable comprehensive risk criteria of earthquake disasters with MS5.0–5.9, MS6.0–6.9, MS ≥ 7.0, and MS ≥ 5.0 in Chinese Mainland are obtained. It is found that the comprehensive risk of earthquake disasters with different magnitudes is mainly at an unacceptable level, while the main types that are consistent with life risk and economic risk are tolerable level and acceptable level, respectively. The research results can provide more comprehensive theoretical data and practical basis for the effective implementation of earthquake disaster risk management. [ABSTRACT FROM AUTHOR]

High-mountain landslides in the hydrogeological environment expose the residents and properties of mountain settlements to immediate risks, especially in the southwestern part of the Tibetan Plateau, where severe damage is frequent. The risk assessment of geohazards is provided as an effective disaster prevention and mitigation management measure. To reasonably predict the spatial distribution characteristics of high-mountain landslide risks, the Gaussian process classification (GPC) and the improved weight-based generalized objective function were applied to quantify the hazard, vulnerability, and risk values of Li County, Southwest China. The findings revealed that the hazard, vulnerability, and risk levels in the studied areas were comparatively high, with percentages in the moderate–high ranges of 41.715%, 40.634%, and 57.135%, respectively. The towns of Zagunao, Ganbu, and Taoping are among the regions with a high grade of risk, with risk values of 0.407, 0.347, and 0.335, respectively. These high-risk distribution sites are concentrated predominantly in the municipalities and their fringes, whereas other prefectures are in the medium–below risk level range. Following the examination of the GPC model and integral appraisal performance, this risk assessment framework exhibits good predictability, with an accurate proportion of predictions in the hazardous location interval reaching 99.857% and an ROC-AUC value of 0.97. The proceedings of this study can provide essential materials and references for decision-making for hydrogeological-environmental hazard policy formulation, territorial spatial planning, and other regional-related risk assessment projects. • Improvement of the weights of the generalized objective function by introducing the entropy and the information method. • The integration of machine learning algorithms and improved weight-based generalized objective function. • Completing the risk, vulnerability, and hazard mapping of high-mountain landslides under geo-environmental conditions. [ABSTRACT FROM AUTHOR]