Abstract:With the development of urbanization and the upgrade of agricultural industrialization, farmland landscape function has developed from a single production function to the function bundle of the economic function, ecological function and cultural function. Thus the farmland landscape multifunctionality has become a hot topic in academic research. However, the existing studies discussed more on coupling the multi indices of farmland function. How to map different functions and the multi-scale correlation analysis on the farmland landscape functions is lack of attention. This study has selected the Beijing-Tianjin-Hebei area as study area, and calculated six farmland landscape functions spatially. The functions are respectively grain provision function, landscape connection function, soil conservation function, landscape scenery function, population capacity function, and habitat sustain function. Remote sensed net primary productivity (NPP), Habitat Quality model in InVEST, Revised Universal Soil Loss Equation (RUSLE) model, Integral Index of Connectivity (IIC), demographic census data, and Relief Degree of Land Surface (RDLS) are used to quantify these functions. The farmland landscape multifunctionality is quantified by hot spot identification and spatial overlay using spatial autocorrelation method. The result shows that the grain provision function is significant in the middle plain; the landscape connection function is prominent in the south plain; both of the soil conservation function and the habitat sustain function are high in the Yan Mountain and Taihang Mountain; the population capacity function near Beijing City is relatively important. The spatial distribution of different farmland landscape functions differs a lot in Beijing-Tianjin-Hebei Area in the year of 2010. The Beijing-Tianjing-Heibei area has a higher distribution of farmland landscape multifunctionality in the south than the north at county level. There are few counties in high value of all functions. The trade-off and synergy relations between each function are almost equal in number. The functions of landscape connectivity and grain provision are in synergy, while the trade-off between landscape connectivity and soil conservation is apparent. Based on remote sensed images and GIS analysis, this study mapped the farmland landscape multifunctionality and the relationships between different functions, which is an exploration in studying agricultural functions.