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    黄土丘陵沟壑区梯田切沟体积估算经验模型

    Empirical model for estimating gully volume of terraced fields in loess hilly-gully region

    • 摘要: 本研究旨在建立可靠的梯田切沟体积估算模型,实现暴雨条件下切沟侵蚀快速、准确监测。于2025年7月24日陕西省榆林市定边县新安边镇特大暴雨后,利用无人机采集薛天池小流域DOM影像,通过目视解译确定切沟形态特征,利用差分GPS测定切沟体积,建立了切沟形态特征与体积间的经验模型。结果表明:1)按发育部位和形态,梯田切沟可分为三类:田面-田坎弯曲型、田面-田坎直线型及田坎直线型。其中,弯曲型切沟数量占比最多(56%),而直线型切沟平均体积最大(34.05m3)。2)在常用切沟形态参数(长度、周长、投影面积和表面积)中,表面积估算切沟体积的效果最好(V=0.24 As1.379,R2=0.95,NSE=0.93),可用于黄土丘陵沟壑区梯田切沟体积和侵蚀量估算。3)不同区域切沟面积(投影或表面积)-体积经验模型预测结果差异显著,模型对面积变化的敏感性不同,因而需根据本区域的特点构建切沟体积估算经验模型。结果为完善黄土丘陵沟壑区切沟侵蚀预报模型、梯田切沟侵蚀精准评估提供重要的技术支撑。

       

      Abstract: Background Terraced fields serve as vital agricultural resources but are prone to erosion during extreme rainfall events, leading to the formation of severe gullies. Traditional gully volume measurement methods are often time-consuming, labor-intensive, and costly. With the widespread application of drone technology, it has become feasible to establish relationships between gully morphology and volume based on aerial imagery. This study aims to develop a reliable model for estimating gully volume in terraced fields to facilitate rapid and accurate monitoring of erosion during heavy rainfall. Methods Following an extreme rainfall event on July 24th, 2025, in Xin'anbian Town, Dingbian County, Yulin City, Shaanxi Province, UAVs deployed to capture DOM (digital orthophoto map) of the Xuetianchi small watershed. Using stratified random sampling approach, 25 gullies were selected for analysis. Morphological parameters—including length, perimeter, projected area, and surface area—were extracted through visual interpretation, while gully volumes were measured with RTK (Real - time kinematic). An empirical model was established to relate morphological features to volume. Results The results show that: 1) Based on developmental location and morphology, terraced-field gullies can be classified into three types: field surface- ridge curved type, field surface- ridge straight type, field ridge straight type. Curved gullies were the most numerous (accounting for 56%), while straight gullies on the ridge exhibited the largest average volume (34.05 m³). 2) Among common morphological parameters, both projected area and surface area performed well in estimating gully volume, with surface area providing the best fit. The corresponding models were V = 0.28A1.374 (R² = 0.95, NSE = 0.89) for projected area and V = 0.24 As1.379 (R² = 0.95, NSE = 0.93) for surface area. Surface area is therefore recommended for gully volume and erosion estimation in Loess Hilly-Gully Region. 3) Predictive performance of area-volume empirical models varied notably across regions, with differing sensitivity to area changes. Therefore, it is necessary to develop empirical models for gully volume estimation based on the specific characteristics of each region.ConclusionThis study improves the gully erosion prediction model for loess hilly and gully regions. The established morphology-volume relationship offers a dependable approach for accurate gully erosion estimation and systematic assessment in terraced fields, thereby supporting effective soil and water conservation strategies.

       

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