Hubbell (2001) |
ZSM |
Goodness of fit only determined by graphical observation. |
McGill (2003) |
ZSM does not fit the data better than the lognormal |
Used simulations to fit the ZSM |
Volkov et al. (2003) |
Derived an analytical solution for the ZSM and found the ZSM provided the best fit |
Analytical equations did not represent the full solution as they applied solely to the mean number of species in a given class (Etienne and Olff 2004) |
Vallade and Houchmandzadeh (2003) |
Published a full analytical solution for the ZSM |
Equations were later determined to be flawed (i.e., they applied the mean number of species in a given class) and were corrected by Etienne and Alonso (2005) |
Alonso and McKane (2004) |
Developed a different analytic solution |
Rigorous fitting of the ZSM required likelihood methods |
Etienne and Olff (2004) |
Found slightly better support for the lognormal using a Bayesian approach |
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Etienne (2005) |
Published the correct analytical solution and sampling formula. Two forms of the likelihood equations exist: (a) Ewens’ (1972) sampling formula of neutral alleles is used in the case of no dispersal limitation and (b) Etienne's (2005) formula in cases of dispersal limitation |
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Etienne and Alonso (2005) |
Unified two different approaches to arrive at the full analytical solution: the genealogical approach (Etienne 2005) and master equation-based approach (e.g., Alonso and McKane 2004) |
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McGill et al. (2006) |
Compared nine goodness-of-fit measures with the BCI data and found that for eight out of the nine measures the lognormal outperformed the ZSM |
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Jabot and Chave (2011) |
Built on Etienne's (2005) maximum likelihood framework to develop a more robust test of neutrality incorporating the SAD of Hubbell's SINM and Shannon's index. The SAD of the BCI 50-ha plot did not significantly differ from neutrality; however, the SADs of smaller scale subplots from within the BCI plot were significantly non-neutral |
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Rosindell and Cornell (2013) |
(a) The gamma and negative binomial distributions provided a better fit than the ZSM (b) The SENM predicts SADs which are more realistic than those from the SINM |
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