Table 2.
Diversity order and statistics | Power law (PL) | PL with exponential cutoff (PLEC) | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
z | ln(c) | R | P-value | g | N | z | d | ln(c) | R | P-value | N | A max | D max | ||
q=0 | Mean | 0.805 | –0.070 | 1.000 | 0.000 | 0.253 | 100 | 0.770 | 0.00012 | 0.070 | 1.000 | 0.000 | 100 | N/A | N/A |
SE | 0.010 | 0.065 | 0.000 | 0.000 | 0.012 | 0.016 | 0.00004 | 0.078 | 0.000 | 0.000 | |||||
Min | 0.782 | –0.217 | 0.999 | 0.000 | 0.228 | 0.722 | –0.00002 | –0.131 | 1.000 | 0.000 | |||||
Max | 0.826 | 0.070 | 1.000 | 0.000 | 0.280 | 0.812 | 0.00022 | 0.313 | 1.000 | 0.000 | |||||
q=1 | Mean | 0.176 | 1.591 | 0.884 | 0.000 | 0.870 | 100 | 0.298 | –0.00043 | 1.092 | 0.952 | 0.000 | 100 | 687 | 15.5 |
SE | 0.031 | 0.208 | 0.059 | 0.000 | 0.024 | 0.041 | 0.00011 | 0.219 | 0.034 | 0.000 | |||||
Min | 0.104 | 1.047 | 0.686 | 0.000 | 0.807 | 0.215 | –0.00076 | 0.449 | 0.829 | 0.000 | |||||
Max | 0.255 | 2.093 | 0.974 | 0.000 | 0.925 | 0.435 | –0.00022 | 1.570 | 0.994 | 0.000 | |||||
q=2 | Mean | 0.146 | 1.890 | 0.734 | 0.000 | 0.893 | 100 | 0.291 | –0.00052 | 1.295 | 0.867 | 0.000 | 100 | 563 | 17.3 |
SE | 0.050 | 0.333 | 0.178 | 0.000 | 0.038 | 0.076 | 0.00024 | 0.368 | 0.111 | 0.000 | |||||
Min | 0.017 | 1.026 | 0.106 | 0.000 | 0.791 | 0.102 | –0.00124 | 0.227 | 0.335 | 0.000 | |||||
Max | 0.274 | 2.730 | 0.978 | 0.001 | 0.988 | 0.525 | –0.00002 | 2.356 | 0.987 | 0.000 | |||||
q=3 | Mean | 0.166 | 1.963 | 0.711 | 0.000 | 0.877 | 100 | 0.330 | –0.00058 | 1.293 | 0.850 | 0.000 | 100 | 566 | 21.3 |
SE | 0.062 | 0.421 | 0.200 | 0.000 | 0.049 | 0.103 | 0.00035 | 0.468 | 0.129 | 0.000 | |||||
Min | 0.021 | 0.798 | 0.108 | 0.000 | 0.735 | 0.069 | –0.00149 | 0.115 | 0.203 | 0.000 | |||||
Max | 0.339 | 2.917 | 0.972 | 0.000 | 0.986 | 0.591 | 0.00016 | 2.663 | 0.980 | 0.000 |
z, c & d: The parameters of PL- and/or PLEC-DAR models, in which z of PL-DAR model is the scaling parameter, and c can be viewed as the number of species equivalent to diversity in the first unit of area to accrue. g: The pair-wise diversity overlap. R: The correlation coefficient to judge the goodness-of-fitting of PL or PLEC models. P-value: The parameter to judge the success or failure of the fitting of PL or PLEC models (P≤0.05 indicates successful model fitting). N: The number of successful fittings out of 100 re-samplings. A max: The number of accrued individuals corresponding to the maximal accrual diversity. D max: The maximal accrual diversity. SE: Standard error. Min: Minimum. Max: Maximum. N/A: Not available.