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. 2016 Mar 17;11(3):e0151811. doi: 10.1371/journal.pone.0151811

Table 2. Selected NPMR models for each ponderosa pine (Pinus ponderosa) variety and haplotype, with final predictors, response variable sensitivity to predictors (Q), evaluation metrics (LogB, xR², AUC), and number of presence / absence points (see S1 Table for additional model evaluation metric results).

Model Predictors (Q)1 LogB xR² AUC Presence/Absence
var. ponderosa SHMI (0.62) ELEV (0.28) PRATIO (0.21) WINP (0.21) 1165.3 0.78 0.99 1059/8941
var. scopulorum 1 PRATIO(0.56) MTWM (0.42) SUMP (0.41) ELEV (0.11) 827.2 0.62 0.98 861/9139
var. scopulorum 2 MTWM (0.49) SUMP (0.34) TRIX (0.09) ELEV (0.09) 830.1 0.62 0.98 861/9139
Haplotype 1 SDAY(0.11) SHMI (0.10) PRATIO (0.06) WINP (0.03) 47.6 0.25 0.93 45/3125
Haplotype 2 SMRPB (0.04) TDIFF/LogGSP (0.04) 17.5 0.34 0.78 14/3098
Haplotype 3 LogMAP (0.10) ELEV (0.08) SUMP (0.04) 43.2 0.21 0.95 45/3098
Haplotype 4 PRATIO (0.04) SMRPB (0.04) 14.3 0.14 0.99 9/3098
Haplotype 5 PRATIO (0.06) LogGSP (0.06) 34.1 0.26 0.99 22/3125
Haplotype 6 MTCM (0.12) TDIFF/LogGSP (0.07) WINP (0.02) 23.7 0.06 0.93 34/3098
Haplotype 7 SHMI (0.10) PRATIO (0.07) SMRPB (0.07) 26.3 0.13 0.99 23/3098
Haplotype 8 MTWM (0.08) ELEV (0.06) WINP (0.02) 26.2 0.14 0.96 23/3125
Haplotype 9 ELEV (0.02) PRATIO (0.01) 7.0 0.04 0.83 5/3125
Haplotype 10 PRATIO (0.01) ELEV (0.01) 4.1 0.06 0.99 3/3125

1Models with elevation (ELEV) or topographic roughness index (TRIX) as predictors are only shown when LogB improved by greater than 5% over the climate-only model. Refer to Table 1 for predictor abbreviation descriptions.

Q = sensitivity of response variable after adjusting predictor values (by +/- 5% of their ranges), expressed as the proportion of the range of response variable, and generated by evaluating original “un-tuned” models. LogB = log10(likelihood ratio), indicating improvement of a new model over the naive model, presented for un-tuned haplotype models and aggressively tuned variety models. xR² = cross-validated R² (the cross-validated coefficient of determination, with a maximum of 1.0, and no theoretical minimum), representing evaluation of the un-tuned haplotype models and the aggressively tuned variety models. AUC = Area under Receiver Operating Characteristic, calculated for each haplotype model and for the aggressively tuned variety models.