-----------------------------------------------
     MODEL SELECTION: RANDOM EFFECTS           
-----------------------------------------------
  Response      CandidateSet  mod                                                                                                                                                                                                                                           Fixed            Random varFunc df     AICc Delta_AICc     weights
1   Volume 1: random effects mod1 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | DistrictZone    <NA> 12 896.6477   2.419935 0.228410478
2   Volume 1: random effects mod2 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc     ~1 | Transect    <NA> 12 894.2278   0.000000 0.765946247
3   Volume 1: random effects mod3 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc              <NA>    <NA> 11 904.0491   9.821295 0.005643275
MODEL SELECTED = mod2

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     MODEL SELECTION: VARIANCE STRUCTURE       
-----------------------------------------------
  Response           CandidateSet   mod                                                                                                                                                                                                                                           Fixed        Random                            varFunc df      AICc Delta_AICc       weights
4   Volume 2: Variance structures  mod2 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect                               <NA> 12  894.2278  62.108380  3.233747e-14
5   Volume 2: Variance structures mod11 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect                 varFixed(~initial) 12 1296.4459 464.326521 1.476205e-101
6   Volume 2: Variance structures mod12 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 16  832.1194   0.000000  9.916753e-01
7   Volume 2: Variance structures mod13 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect     varIdent(form = ~1 | Transect) 16  841.7118   9.592444  8.192128e-03
8   Volume 2: Variance structures  mod9 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect          varExp(form = ~fitted(.)) 13  849.9591  17.839669  1.325973e-04
MODEL SELECTED = mod12

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     MODEL SELECTION: FIXED STRUCTURE          
-----------------------------------------------
   Response     CandidateSet                                            mod                                                                                                                                                                                                                                           Fixed        Random                            varFunc df     AICc Delta_AICc      weights
9    Volume 3: Fixed effects                                           mod1 response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:Manipulation + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:initial.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 16 800.1361  7.1241884 4.655197e-03
10   Volume 3: Fixed effects                           mod1.ManipxInit_Excl                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 15 798.4665  5.4545882 1.072722e-02
11   Volume 3: Fixed effects                 mod1.ManipxInit_Excl.Init_Excl                                                                  response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 14 796.7791  3.7671886 2.494028e-02
12   Volume 3: Fixed effects                                           mod2                                                                   response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 15 797.8936  4.8816917 1.428532e-02
13   Volume 3: Fixed effects                           mod2.ManipxDens_Excl                                                                                                  response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 14 801.1130  8.1011427 2.856243e-03
14   Volume 3: Fixed effects                           mod2.ManipxInit_Excl                                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 14 796.2557  3.2438426 3.239995e-02
15   Volume 3: Fixed effects                 mod2.ManipxInit_Excl.Init_Excl                                                                                                          response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 794.6198  1.6078931 7.341526e-02
16   Volume 3: Fixed effects mod2.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                         response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 797.9469  4.9349699 1.390980e-02
17   Volume 3: Fixed effects           mod2.ManipxInit_Excl.ManipxDens_Excl                                                                                                                            response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 799.1890  6.1771290 7.474624e-03
18   Volume 3: Fixed effects                                           mod3                                                                                              response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 14 797.3126  4.3006702 1.910105e-02
19   Volume 3: Fixed effects                           mod3.ManipxDens_Excl                                                                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 800.1952  7.1833195 4.519578e-03
20   Volume 3: Fixed effects                           mod3.ManipxInit_Excl                                                                                                                        response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 795.7709  2.7589636 4.128902e-02
21   Volume 3: Fixed effects                 mod3.ManipxInit_Excl.Init_Excl                                                                                                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 794.1310  1.1191326 9.373878e-02
22   Volume 3: Fixed effects mod3.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                    response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 ~1 | Transect varIdent(form = ~1 | DistrictZone) 11 797.0795  4.0676470 2.146138e-02
23   Volume 3: Fixed effects           mod3.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                       response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 798.3326  5.3207144 1.146984e-02
24   Volume 3: Fixed effects                                           mod4                                                                                                                      response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 796.1307  3.1188490 3.448946e-02
25   Volume 3: Fixed effects                           mod4.ManipxDens_Excl                                                                                                                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 799.9754  6.9635386 5.044553e-03
26   Volume 3: Fixed effects                           mod4.ManipxInit_Excl                                                                                                                                                response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 794.5905  1.5786127 7.449798e-02
27   Volume 3: Fixed effects                 mod4.ManipxInit_Excl.Init_Excl                                                                                                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 11 793.0119  0.0000000 1.640348e-01
28   Volume 3: Fixed effects mod4.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                                            response ~ Manipulation + Habitat2 + ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 10 796.9704  3.9585224 2.266489e-02
29   Volume 3: Fixed effects           mod4.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                                               response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 11 798.0758  5.0638525 1.304170e-02
30   Volume 3: Fixed effects                                           mod5                                                                                           response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 14 796.7369  3.7249500 2.547260e-02
31   Volume 3: Fixed effects                           mod5.ManipxDens_Excl                                                                                                                          response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 800.9238  7.9119366 3.139646e-03
32   Volume 3: Fixed effects                           mod5.ManipxInit_Excl                                                                                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 795.1193  2.1073729 5.719073e-02
33   Volume 3: Fixed effects                 mod5.ManipxInit_Excl.Init_Excl                                                                                                                                  response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 793.5444  0.5325164 1.256902e-01
34   Volume 3: Fixed effects mod5.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                 response ~ Manipulation + Habitat2 + ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 11 797.8748  4.8629089 1.442011e-02
35   Volume 3: Fixed effects           mod5.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                    response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 798.9838  5.9719171 8.282292e-03
36   Volume 3: Fixed effects                                           mod6                                                   response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 15 798.8532  5.8413236 8.841146e-03
37   Volume 3: Fixed effects                           mod6.ManipxInit_Excl                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 14 797.1852  4.1732774 2.035730e-02
38   Volume 3: Fixed effects                 mod6.ManipxInit_Excl.Init_Excl                                                                                          response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 13 795.5293  2.5174228 4.658911e-02
39   Volume 3: Fixed effects                                           mod7                                                                                                                                 response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 12 849.5498 56.5378678 8.667500e-14
40   Volume 3: Fixed effects                           mod7.ManipxDens_Excl                                                                                                                                                                response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:initial.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 11 854.0933 61.0813938 8.938811e-15
41   Volume 3: Fixed effects                           mod7.ManipxInit_Excl                                                                                                                                                           response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 11 848.2031 55.1911815 1.699507e-13
42   Volume 3: Fixed effects                 mod7.ManipxInit_Excl.Init_Excl                                                                                                                                                                        response ~ Manipulation + ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 10 846.9271 53.9152225 3.216578e-13
43   Volume 3: Fixed effects mod7.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                                                       response ~ Manipulation + ReinDensMean.sc ~1 | Transect varIdent(form = ~1 | DistrictZone)  9 851.6333 58.6214309 3.058116e-14
44   Volume 3: Fixed effects           mod7.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                                                          response ~ Manipulation + ReinDensMean.sc + initial.sc ~1 | Transect varIdent(form = ~1 | DistrictZone) 10 852.4388 59.4268871 2.044331e-14
MODEL SELECTED = mod4.ManipxInit_Excl.Init_Excl

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     MODEL SUMMARY                             
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Linear mixed-effects model fit by REML
  Data: tmp.data 
       AIC      BIC    logLik
  807.4806 845.5827 -392.7403

Random effects:
 Formula: ~1 | Transect
        (Intercept)  Residual
StdDev:   0.1414232 0.7350138

Variance function:
 Structure: Different standard deviations per stratum
 Formula: ~1 | DistrictZone 
 Parameter estimates:
     30A      30B      30C       16       17 
1.000000 2.978624 1.966913 1.168603 1.477129 
Fixed effects:  response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc 
                                           Value  Std.Error  DF   t-value p-value
(Intercept)                            2.0031054 0.12625745 232 15.865245  0.0000
ManipulationTreatment                  0.8010214 0.13803442 232  5.803055  0.0000
Habitat2Exposed/Mountain              -1.2281400 0.14994854 232 -8.190410  0.0000
ReinDensMean.sc                       -0.1336681 0.05494848 232 -2.432608  0.0157
ManipulationTreatment:ReinDensMean.sc  0.1852049 0.07450929 232  2.485662  0.0136
 Correlation: 
                                      (Intr) MnpltT Hb2E/M RnDnM.
ManipulationTreatment                 -0.506                     
Habitat2Exposed/Mountain              -0.416 -0.024              
ReinDensMean.sc                       -0.253  0.185  0.125       
ManipulationTreatment:ReinDensMean.sc  0.154 -0.294  0.012 -0.650

Standardized Within-Group Residuals:
        Min          Q1         Med          Q3         Max 
-4.07153639 -0.59814401  0.03923101  0.65108460  2.49917216 

Number of Observations: 241
Number of Groups: 5 


ANOVA TABLE
                             numDF denDF  F-value p-value
(Intercept)                      1   232 434.9406  <.0001
Manipulation                     1   232  44.4602  <.0001
Habitat2                         1   232  66.5535  <.0001
ReinDensMean.sc                  1   232   1.1567  0.2833
Manipulation:ReinDensMean.sc     1   232   6.1785  0.0136


R-SQUARED
  Response   family     link method  Marginal Conditional
1 response gaussian identity   none 0.4855197   0.5038864


R-SQUARED NAIVE
[1] "0.242"
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     95% CI                                    
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   Response                         Type                             Parameter       lower       est.      upper
1    Volume               Fixed effects:                           (Intercept)  1.75434764  2.0031054  2.2518631
2    Volume               Fixed effects:                 ManipulationTreatment  0.52906017  0.8010214  1.0729826
3    Volume               Fixed effects:              Habitat2Exposed/Mountain -1.52357493 -1.2281400 -0.9327051
4    Volume               Fixed effects:                       ReinDensMean.sc -0.24192992 -0.1336681 -0.0254063
5    Volume               Fixed effects: ManipulationTreatment:ReinDensMean.sc  0.03840359  0.1852049  0.3320062
6    Volume              Random Effects:                              Transect  0.01943954  0.1414232  1.0288571
7    Volume           Variance function:                                   30B  2.32185880  2.9786244  3.8211641
8    Volume           Variance function:                                   30C  1.44050205  1.9669130  2.6856933
9    Volume           Variance function:                                    16  0.84753691  1.1686030  1.6112962
10   Volume           Variance function:                                    17  1.05480219  1.4771291  2.0685493
11   Volume Within-group standard error:                                 sigma  0.61867538  0.7350138  0.8732291


