-1)/decade. Spatially, areas with higher precipitation generally experience stronger ISO, and the most active ISO centres are located in southern Shanxi and the mountainous areas. (2) Two typical summer precipitation ISO cycles in Shanxi exhibit three-stage evolution according to their composite analysis. The initial stage is characterised by a weakening of drought conditions and the onset of positive precipitation anomalies in parts of Shanxi; the active stage features the expansion and intensification of positive precipitation anomalies until peak precipitation progresses southward to southern Shanxi; and the weakening stage begins when ISO-induced positive precipitation anomalies retreat and terminates when the negative precipitation anomalies re-emerge over most parts of Shanxi. (3) The evolution of precipitation ISO is closely linked to vertically integrated water vapour transport. The enhancement (weakening) and westward-northward (eastward-southward) shift of low-frequency anticyclonic water vapour transport over the subtropical western Pacific plays a vital role in regulating the ISO precipitation cycle. During the dry phase, the water vapour transport is too weak to reach Shanxi. As the anomalous anticyclone shifts westward and northward, the ISO enters its active stage, accompanied by strengthened and persistent southeasterly water vapour transport, placing Shanxi in a water vapour convergence zone. As this transport weakens and retreats eastward, the water vapour convergence zone gradually shifts out of Shanxi. After the weakening stage, a new ISO cycle restarts. This study elucidates the climatological spatiotemporal evolution of summer precipitation ISO in Shanxi and its synergistic interaction with atmospheric circulation, providing a scientific foundation for regional sub-seasonal precipitation forecasting and offering new insights into the ISO characteristics and mechanisms over mid-latitude regions with complex terrain."/>