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     MODEL SELECTION: RANDOM EFFECTS           
-----------------------------------------------
  Response      CandidateSet  mod                                                                                                                                                                                                                                           Fixed            Random varFunc df     AICc Delta_AICc    weights
1    Cover 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> 12 499.0852   0.000000 0.88636326
2    Cover 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> 12 503.6488   4.563590 0.09049836
3    Cover 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> 11 506.3765   7.291268 0.02313838
MODEL SELECTED = mod1

-----------------------------------------------
     MODEL SELECTION: VARIANCE STRUCTURE       
-----------------------------------------------
  Response           CandidateSet   mod                                                                                                                                                                                                                                           Fixed            Random                            varFunc df      AICc Delta_AICc       weights
4    Cover 2: Variance structures  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> 12 499.08519   532.1443 2.794640e-116
5    Cover 2: Variance structures mod10 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        varPower(form = ~fitted(.)) 13 121.39044   154.4496  2.895341e-34
6    Cover 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 | DistrictZone                 varFixed(~initial) 12 659.98854   693.0477 3.210768e-151
7    Cover 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 | DistrictZone varIdent(form = ~1 | DistrictZone) 16 337.91378   370.9729  2.781333e-81
8    Cover 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 | DistrictZone     varIdent(form = ~1 | Transect) 16 359.75493   392.8141  5.029293e-86
9    Cover 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 | DistrictZone          varExp(form = ~fitted(.)) 13 -33.05914     0.0000  1.000000e+00
MODEL SELECTED = mod9

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     MODEL SELECTION: FIXED STRUCTURE          
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   Response     CandidateSet                                            mod                                                                                                                                                                                                                                           Fixed            Random                   varFunc df      AICc  Delta_AICc       weights
10    Cover 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 | DistrictZone varExp(form = ~fitted(.)) 13 -118.8145  15.5409791  1.590662e-04
11    Cover 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 | DistrictZone varExp(form = ~fitted(.)) 12 -119.6573  14.6981012  2.424412e-04
12    Cover 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 | DistrictZone varExp(form = ~fitted(.)) 11  605.7696 740.1250887 7.246655e-162
13    Cover 3: Fixed effects                                           mod2                                                                   response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 12 -123.2706  11.0848252  1.476452e-03
14    Cover 3: Fixed effects                           mod2.ManipxDens_Excl                                                                                                  response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 11 -129.5726   4.7828415  3.448877e-02
15    Cover 3: Fixed effects                           mod2.ManipxInit_Excl                                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 11 -121.6589  12.6965041  6.595500e-04
16    Cover 3: Fixed effects                 mod2.ManipxInit_Excl.Init_Excl                                                                                                          response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10  603.7929 738.1483350 1.947082e-161
17    Cover 3: Fixed effects mod2.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                         response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  9  601.5001 735.8555263 6.127189e-161
18    Cover 3: Fixed effects                                           mod3                                                                                              response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 11 -125.4244   8.9310792  4.334104e-03
19    Cover 3: Fixed effects                           mod3.ManipxDens_Excl                                                                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:initial.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10 -131.6440   2.7114238  9.715839e-02
20    Cover 3: Fixed effects                           mod3.ManipxInit_Excl                                                                                                                        response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10 -124.4473   9.9081337  2.659100e-03
21    Cover 3: Fixed effects                 mod3.ManipxInit_Excl.Init_Excl                                                                                                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  9  631.6261 765.9815465 1.759864e-167
22    Cover 3: Fixed effects mod3.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                    response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:Habitat2 ~1 | DistrictZone varExp(form = ~fitted(.))  8  629.5380 763.8934618 4.999205e-167
23    Cover 3: Fixed effects           mod3.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                       response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:Habitat2 ~1 | DistrictZone varExp(form = ~fitted(.))  9 -123.3794  10.9760047  1.559012e-03
24    Cover 3: Fixed effects                                           mod4                                                                                                                      response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10 -128.3982   5.9572848  1.917126e-02
25    Cover 3: Fixed effects                           mod4.ManipxDens_Excl                                                                                                                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc ~1 | DistrictZone varExp(form = ~fitted(.))  9 -133.8669   0.4885094  2.952433e-01
26    Cover 3: Fixed effects                           mod4.ManipxInit_Excl                                                                                                                                                response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  9 -126.1515   8.2039765  6.234299e-03
27    Cover 3: Fixed effects                 mod4.ManipxInit_Excl.Init_Excl                                                                                                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  8  628.7286 763.0840419 7.493147e-167
28    Cover 3: Fixed effects mod4.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                                            response ~ Manipulation + Habitat2 + ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  7  626.5145 760.8699378 2.266996e-166
29    Cover 3: Fixed effects           mod4.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                                               response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc ~1 | DistrictZone varExp(form = ~fitted(.))  8 -125.0859   9.2695410  3.659344e-03
30    Cover 3: Fixed effects                                           mod5                                                                                           response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 11 -126.2737   8.0817558  6.627162e-03
31    Cover 3: Fixed effects                           mod5.ManipxDens_Excl                                                                                                                          response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10 -131.7955   2.5599027  1.048052e-01
32    Cover 3: Fixed effects                           mod5.ManipxInit_Excl                                                                                                                     response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10 -123.9456  10.4098107  2.069173e-03
33    Cover 3: Fixed effects                 mod5.ManipxInit_Excl.Init_Excl                                                                                                                                  response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  9  599.3576 733.7130765 1.788497e-160
34    Cover 3: Fixed effects mod5.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                 response ~ Manipulation + Habitat2 + ReinDensMean.sc + Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  8  597.4801 731.8355219 4.572925e-160
35    Cover 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 | DistrictZone varExp(form = ~fitted(.)) 12 -120.9035  13.4519603  4.520666e-04
36    Cover 3: Fixed effects                           mod6.ManipxInit_Excl                                                                             response ~ Manipulation + Habitat2 + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 11 -123.6791  10.6763364  1.811013e-03
37    Cover 3: Fixed effects                 mod6.ManipxInit_Excl.Init_Excl                                                                                          response ~ Manipulation + Habitat2 + ReinDensMean.sc + Manipulation:ReinDensMean.sc + Habitat2:ReinDensMean.sc + Manipulation:Habitat2:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.)) 10  602.0287 736.3841890 4.703960e-161
38    Cover 3: Fixed effects                                           mod7                                                                                                                                 response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:initial.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  9 -129.3740   4.9814018  3.122920e-02
39    Cover 3: Fixed effects                           mod7.ManipxDens_Excl                                                                                                                                                                response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:initial.sc ~1 | DistrictZone varExp(form = ~fitted(.))  8 -134.3554   0.0000000  3.769281e-01
40    Cover 3: Fixed effects                           mod7.ManipxInit_Excl                                                                                                                                                           response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  8 -125.6867   8.6687728  4.941496e-03
41    Cover 3: Fixed effects                 mod7.ManipxInit_Excl.Init_Excl                                                                                                                                                                        response ~ Manipulation + ReinDensMean.sc + Manipulation:ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  7  703.2795 837.6348995 4.854575e-183
42    Cover 3: Fixed effects mod7.ManipxInit_Excl.Init_Excl.ManipxDens_Excl                                                                                                                                                                                                       response ~ Manipulation + ReinDensMean.sc ~1 | DistrictZone varExp(form = ~fitted(.))  6  700.7401 835.0955376 1.728091e-182
43    Cover 3: Fixed effects           mod7.ManipxInit_Excl.ManipxDens_Excl                                                                                                                                                                                          response ~ Manipulation + ReinDensMean.sc + initial.sc ~1 | DistrictZone varExp(form = ~fitted(.))  7 -125.3092   9.0462806  4.091510e-03
MODEL SELECTED = mod7.ManipxDens_Excl

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     MODEL SUMMARY                             
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Linear mixed-effects model fit by REML
  Data: tmp.data 
        AIC       BIC   logLik
  -90.08773 -62.24262 53.04387

Random effects:
 Formula: ~1 | DistrictZone
        (Intercept)    Residual
StdDev:  0.01697635 0.002169109

Variance function:
 Structure: Exponential of variance covariate
 Formula: ~fitted(.) 
 Parameter estimates:
    expon 
-4.886846 
Fixed effects:  response ~ Manipulation + ReinDensMean.sc + initial.sc + Manipulation:initial.sc 
                                      Value  Std.Error  DF   t-value p-value
(Intercept)                      -0.9422434 0.01748800 236 -53.87943  0.0000
ManipulationTreatment             0.0742295 0.01734834 236   4.27877  0.0000
ReinDensMean.sc                  -0.0032703 0.00171314 236  -1.90897  0.0575
initial.sc                        1.5605616 0.03527018 236  44.24593  0.0000
ManipulationTreatment:initial.sc -0.1829263 0.03784733 236  -4.83327  0.0000
 Correlation: 
                                 (Intr) MnpltT RnDnM. intl.s
ManipulationTreatment            -0.791                     
ReinDensMean.sc                   0.145 -0.145              
initial.sc                       -0.839  0.849 -0.090       
ManipulationTreatment:initial.sc  0.791 -0.987  0.126 -0.875

Standardized Within-Group Residuals:
       Min         Q1        Med         Q3        Max 
-3.7967350 -1.1228542 -0.6612982 -0.4116211  1.9298005 

Number of Observations: 245
Number of Groups: 5 


ANOVA TABLE
                        numDF denDF  F-value p-value
(Intercept)                 1   236 2067.344  <.0001
Manipulation                1   236  140.592  <.0001
ReinDensMean.sc             1   236   22.376  <.0001
initial.sc                  1   236 6830.840  <.0001
Manipulation:initial.sc     1   236   23.360  <.0001


R-SQUARED
  Response   family     link method  Marginal Conditional
1 response gaussian identity   none 0.9973986   0.9999582


R-SQUARED NAIVE
[1] "0.638"
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     95% CI                                    
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  Response                         Type                        Parameter        lower         est.         upper
1    Cover               Fixed effects:                      (Intercept) -0.976695910 -0.942243385 -0.9077908596
2    Cover               Fixed effects:            ManipulationTreatment  0.040052119  0.074229508  0.1084068973
3    Cover               Fixed effects:                  ReinDensMean.sc -0.006645342 -0.003270340  0.0001046618
4    Cover               Fixed effects:                       initial.sc  1.491077042  1.560561646  1.6300462495
5    Cover               Fixed effects: ManipulationTreatment:initial.sc -0.257488079 -0.182926303 -0.1083645276
6    Cover              Random Effects:                     DistrictZone  0.003066956  0.016976347  0.0939681953
7    Cover           Variance function:                            expon -5.201128227 -4.886845839 -4.5725634512
8    Cover Within-group standard error:                            sigma  0.001596429  0.002169109  0.0029472237


