Abstract:To fully reflect radiation effects of urban park green space (UPGS) service functions and obtain UPGS aggregation degree (AD) produced by a combination of UPGS in a local area and adjacent ones, the UPGS AD evaluation method for grid units and entire urban area were established based on a convolution operation. Based on high spatial resolution remote sensing images, UPGS maps of 37 cities in Shandong Province were constructed. Then, urban areas were segmented by 500-m grids and GIS technology, thereby obtaining UPGS grid maps. At the same time, a 3×3 AD evaluation convolution mask was constructed and UPGS AD in each grid unit was attained by the convolution operation. Based on the calculation of UPGS AD in each grid unit, two evaluation factors were selected, namely the area ratio of urban space for which AD at each grid was zero, and AD standard deviation of all grids whose AD was larger than zero, for UPGS AD evaluation model construction of the entire urban area. The graded value of the two factors was acquired according to the distribution of UPGS AD in each grid unit of the study area. Using the two factors, the UPGS AD evaluation model of the entire urban area was constructed by a weighted overlay method. Dongying and Tai'an were taken as typical examples for UPGS AD evaluation. The study result showed that the UPGS AD evaluation method of each grid unit based on convolution calculation could quantify the UPGS radiation effect in adjacent grids well. The method obtained AD values produced by the combination of UPGS in any grid unit and adjacent units. The value of AD ranged from 0 to 4. A value of 0 meant that there was no UPGS in the grid unit and adjacent grids and no AD in the grid unit. With increase of GPGS in the grid unit or adjacent grids, the AD value increased. For AD of 4, all the area in the grid unit and adjacent grids was UPGS, and AD became maximum. The UPGS AD evaluation result of each grid unit could be used to directly guide UPGS planning. The UPGS AD of entire urban area was categorized into five classes, including 1st grade (extremely weak), 2nd grade (weak), 3rd grade (moderate), 4th level (strong) and 5th level (extremely strong). The increase of both area ratio of urban space for which AD in each grid was zero and AD standard deviation of all grids whose AD was larger than zero would cause UPGS AD of the entire urban area to rise. However, the level of contrast of UPGS AD corresponded with the 37 cities in the study area, so the result of AD evaluation could be used both for contrast analysis among different cities and to help avoid the phenomenon of going after uniform simply. The evaluation result of two example cities showed that the value of grid-unit PGS AD in Dongying was mainly in the range of > 0-0.2, and the PGS AD level of the entire urban area was weak. Values of grid-unit PGS AD in Tai'an were mainly zero, and the PGS AD level of entire urban area was extremely strong.