Studies of land use/cover change (LUCC) and its impact on sediment retention services (SRS) can provide references for governments to aid them in identifying priorities for conservation or development. We analysed the LUCC characteristics of the Three Gorges Reservoir area (TGRA) and their impact on SRS for the period from the end of the 1970s to 2015 using the Sediment Delivery Ratio model of the Integrated Valuation of Ecosystem Services and Tradeoffs, and we further explored the relationship between SRS and economic growth. Our major findings were as follows. (a) Expansion of construction land and waterbodies with gross rates of 9.245% and 0.950%, respectively, and conversion from cropland to forestland/grassland with an area of 41,379 ha constitute the three main LUCC characteristics in the TGRA. (b) The amount of sediment retention was stable at about 1.42 × 106 t ha−1yr−1 from the end of the 1970s to 2015, with a decrease of <1%. Spatially, ecological programmes resulted in an increase in SRS in the central areas of the TGRA, and urbanization undermined the capacity of SRS supply in the Chongqing urban centres. (c) SRS was concentrated in regions with an altitude of 500–2,200 m. As the slope increased, the percentage of grids with high SRS increased dramatically. (d) Stable SRS and rapid economic growth co‐occurred in TGRA from the end of the 1970s to 2015, which offers a positive reference for achieving sustainable development.

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Abstract-Voronoi diagram for polygon is difficult to construct because polygons have Irregular boundary consisting of segments. In traditional algorithm, when generators of polygons are complex, production process will be extremely complex because of the complex relationship between line segments. In this paper, we use spontaneous construction of Voronoi diagrams. The algorithm can get over all kinds of shortcomings that we have just mentioned. So it is more useful and effective than the traditional algorithm. The results show that the algorithm is both simple and useful, and it is of high potential value in practice.