Wan-Hsuan Cheng^1,2, Takeshi Miki^3,4, Chih-hao Hsieh^3,4,5,6
1College of Earth Science, National Central University, 
²Taiwan International Graduate Program, Academia Sinica
³Institute of Oceanography, National Taiwan University 
⁴Research Center for Environmental Changes, Academia Sinica
⁵National Center for Theoretical Sciences
⁶Department of Life Science, Institute of Ecology and Evolutionary Biology, National Taiwan University

Abstract:
Although it is generally accepted that the selected ecosystem functioning index would change the shape of biodiversity and ecosystem functioning (BEF) relationship, whether and how this change can be attributed to the specificity behind the selected function still require further quantitative examination. Here, we used bacterial community data as our biodiversity index, and adopted 31 carbon substrates utilization profiles obtain from EcoplateTM (Biolog Inc.) to be our ecosystem functioning indices. To quantify the shape of each BEF relationship, Michaelis–Menten equation was fitted. To gain a continuous measure of functional specificity, each of the carbon substrates utilization profiles was subsequently assigned with Bertz complexity index. Since a function with higher specificity value should be more susceptible to biodiversity loss, a positive correlation between redundancy index obtain by Michaelis–Menten and functional specificity is expected to be observed.