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. 2016 Sep 7;6:32703. doi: 10.1038/srep32703

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Copyright © 2016, The Author(s)

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Mean and standard deviation of the Duncan index and of the entropy (eqs (5) and (6) respectively) as a function of the proportion N_X/(N_X + N_Y) for N_X + N_Y = 24 and S = 13 (a) and N_X + N_Y = 96 and S = 49 (b). Other parameter values are β = 0.02, k = 1/3(N_X + N_Y)/2. Number of steps per simulations is 1000 and number of realizations is 10,000.