This paper detailedly outlined research progresses in water erosion prediction models at hillslope, watershed and region scales, and treand prediction of soil erosion at macro-scale in China.

The author outlined research progress in water erosion prediction model at oversea countries,detailed reviewed empirical models,erosion models based-process,water erosion prediction model supported by GIS,rill erosion model,ephemeral erosion gully model,gully erosion model,and erosion prediction model at regional scale.

Well-known water erosion prediction models, such as USLE, RUSLE, WEPP, EROSEM, LISEM and GeoWEPP are outlined.

According to achievements of soil wind erosion research abroad,the research of wind erosion prediction was divided into four stages:the first was qualitative description stage characterized by wind erosion phenomenon description;the second was quantitative research stage;the third stage was the establishment and improvement of WEQ and the fourth was the establishment and perfection of WEPS.

Main research achievements in soil erosion prediction models in the world are summarized.

On the basis of Saint-Venant equations and differential equation for longitudinal diffusion and in consideration of the influence of confluences and bends, a one-dimensional unsteady mathematical model for water quality prediction is established in this paper.