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Volume 49 • Number 4 • August 2012 - 192.38.112.111

Volume 49 • Number 4 • August 2012 - 192.38.112.111

Volume 49 • Number 4 • August 2012 - 192.38.112.111

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range and requesting validation from local plant ecologists helped address this issue. An<br />

equal number of pseudoabsences were generated randomly within the study region; random<br />

pseudoabsences were appropriate in this case because of the difficulty of intensively<br />

sampling the study area (South Australia) (Wisz & Guisan 2009). Plant ecologists identified<br />

three climate variables as having the greatest general influence on A. verticillata survival and<br />

recruitment: mean annual rainfall, mean January temperature, and mean July temperature<br />

(Stead 2008).<br />

Ensemble forecasting<br />

The potential distribution of A. verticillata was modelled with an ensemble<br />

forecasting approach (Araújo & New 2007) based on seven BEM techniques: BIOCLIM<br />

(Busby 1991), Euclidian and Mahalanobis distances (Farber & Kadmon 2003), generalised<br />

linear models (GLMs; McCullagh & Nelder 1989); Random Forest (Breiman 2001), Genetic<br />

Algorithm for Rule Set Production (Stockwell & Noble 1992), and Maximum Entropy<br />

(Phillips & Dudík 2008) in BIOENSEMBLES software (Diniz-Filho et al. 2009). Internal<br />

evaluation of the models was performed with a data split procedure, whereby 70% of the<br />

occurrence data were randomly split and used for calibration of the models, and the<br />

remaining 30% were used for cross-evaluation of the models. This procedure was repeated 10<br />

times, thus generating a 10-fold cross-validation of model results. The observed prevalence of<br />

species was maintained in each partition, and for each partition we obtained alternative<br />

models by projecting ranges after performing a full factorial combination of the<br />

environmental variables used as predictors. The fitting and projection of alternative models<br />

using data partition and multiple combinations of variables was used to account for<br />

uncertainties arising from the initial conditions and model parameterization (sensu Araújo &<br />

New 2007). Model accuracy was measured using the average True Skill Statistic (Allouche,<br />

Tsoar & Kadmon 2006). This analysis was performed to check if a grossly implausible<br />

9

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