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The main purpose of this paper is to evaluate the global performance and to assess the current spatio-temporal trends on research outputs of Great Lakes in North America by applied mathematics method. The computational science methods were used to survey Great Lakes related articles in the Science Citation Index (SCI) and Social Science Citation Index (SSCI) during the past decades. The Macro level, Meso level and Micro level analysis insights were employed respectively on each dataset. Great Lakes research were mainly completed by USA and Canada institutes, covering 85.87% among the global research productivities. 7 academic institutes in top 10 productive institutes are located in USA and other 3 institutes are addressed in Canada. 50% of the top 10 scientists belong to USA, the other 50% belong to Canada, and every expert published more than 80 papers. In addition, the cognitive learning of citations explained that Great Lakes research domain was focused by USA and Canada community in total citations with an average value on citation per paper. Sweden has the most quantity in citation per paper with a relatively high quality, while in developing countries, its quality of paper needs to be improved such as in P.R China. Institutes with high quality papers are Fisheries & Ocean Canada, University of Minnesota, NOAA and Wisconsin Department Natural Resources accordingly. Considering the future challenges of climate change and sustainability in freshwater ecosystems, it should be mentioned at this point that the essence of the water security issues should be emphasized on Great Lakes research issues.

Spatio-temporal Identification on Cross Border Collaborative Research Trend of Great Lakes by Applied Mathematics Method