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December 2012 Number 1 - Utah Native Plant Society

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Calochortiana <strong>December</strong> <strong>2012</strong> <strong>Number</strong> 1<br />

Table 1. Environmental Variables<br />

BIO 1-Annual Mean Temperature<br />

BIO 2-Mean Diurnal Range<br />

BIO 3-Isothermality<br />

BIO 4-Temperature Seasonality<br />

BIO 5-Maximum Temperature of Warmest Month<br />

BIO 6-Minimum Temperature of Coldest Month<br />

BIO 7-Temperature Annual Range<br />

BIO 8-Mean Temperature of Wettest Quarter<br />

BIO 9-Mean Temperature of Driest Quarter<br />

BIO 10-Mean Temperature of Warmest Quarter<br />

BIO 11-Mean Temperature of Coldest Quarter<br />

BIO 12-Annual Precipitation<br />

BIO 13-Precipitation of Wettest Month<br />

BIO 14-Precipitation of Driest Month<br />

BIO 15-Precipitation Seasonality<br />

BIO 16-Precipitation of Wettest Quarter<br />

BIO 17-Precipitation of Driest Quarter<br />

BIO 18-Precipitation of Warmest Quarter<br />

BIO 19-Precipitation of Coldest Quarter<br />

DEM-Digital Elevation Model 1km<br />

Slope Angle-Derived from DEM<br />

Slope Aspect-Derived from DEM<br />

Geology-Landform Description<br />

Alternative Suitability Models<br />

Three final models were built for each species: 1)<br />

full model, 2) pruned model, and 3) topo model. The<br />

full model contained all variables. The pruned model<br />

was based on findings from a jackknife analysis, used to<br />

evaluate individual variable importance in model development.<br />

The jackknife method evaluates variable predictive<br />

strength by excluding each variable and creating<br />

a tentative model with the remaining variables (Phillips,<br />

Anderson and Schapire 2006). Then tentative models<br />

are created using each variable in isolation (Phillips,<br />

Anderson and Schapire 2006). Tentative models are<br />

then compared to the full model. The pruned model is<br />

then produced with only important predictive variables<br />

found during the jackknife analysis. The goal of the<br />

pruned model was to remove redundant variables and<br />

provide a better fit to the most important environmental<br />

predictors, when compared with the full model. The<br />

topo model used only elevation, slope angle and slope<br />

aspect as variables. There is a known correlation between<br />

elevation and climate (precipitation and temperature).<br />

The topo model was used to see how predictions<br />

of current species distributions based on topography<br />

alone (elevation, slope and aspect) compared to models<br />

with climate data (temperature, precipitation, slope and<br />

aspect). All three models are evaluated for accuracy<br />

with an AUC score.<br />

Spatial Comparison of Model Output<br />

The habitat suitability maps produced by the three<br />

models were then compared spatially to identify places<br />

of predictive agreement between models (consistently<br />

predicted present or absent), and places where predicted<br />

area of suitable habitat were in disagreement. A spatially-explicit<br />

(by pixel) comparison was performed following<br />

the methods proposed by Parolo and others<br />

(2008), which produced two output maps. The first map<br />

identifies areas of maximum agreement between the<br />

models and the second map identifies areas of minimum<br />

agreement between models.<br />

RESULTS<br />

Two hundred and eleven endemic plants were identified<br />

to have 10 or more representative location points<br />

for accurate modeling. The least number of points used<br />

for training data were seven with three test points, and<br />

the largest was 168 training points with 71 testing<br />

points. Model accuracy varied across species with AUC<br />

values ranging from 0.6423 to 1. The jackknife analysis<br />

demonstrated that slope aspect was the least predictive<br />

variable for the most species and Precipitation Seasonality<br />

(BIO15) was the highest predictive variable for the<br />

most species (Table 2).<br />

Example of ENM for Sclerocactus mesae-verdae<br />

One example of a rare endemic plant modeled is the<br />

Mesa Verde cactus (Sclerocactus mesae-verdae). Mesa<br />

Verde cactus is listed as Threatened by the US Fish and<br />

Wildlife Service and a recovery plan was written in<br />

1984 (Heil 1984). The recovery plan suggested that<br />

populations should be monitored to determine their stability<br />

(Ladyman 2004). This cactus is restricted to populations<br />

in the Four Corners region of New Mexico and<br />

Colorado. Mesa Verde cactus occurs in salt-desert scrub<br />

communities, typically in the Fruitland and Mancos<br />

shale formations, but has also been found to grow in the<br />

Menefee Formation overlaying Mancos shale (Roth<br />

2001). It is most frequently found on the tops of hills or<br />

benches and along slopes and at elevation ranging from<br />

4900 to 5500 ft (Roth 2001). Annual precipitation varies<br />

from approximately 8 to 20 cm. Average temperatures<br />

65

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