© Ricardo Solar/UFMG - compartilhamento e utilização não-comercial livres. Não reproduzir sem autorização > DOI: http://doi.org/10.5281/zenodo.7392285

Até agora, vimos situações em que a premissa de independência das amostras se manteve íntegra, ou seja, sempre trabalhamos com réplicas verdadeiras. Mas e se essa premissa não for verdadeira? Vamos analisar conjuntos de dados onde a unidade de amostragem é diferente da unidade de réplicas. Essa avaliação sempre vai depender da escala da nossa perugunta, não havendo um limite predeterminado para determinar a partir de onde é uma réplica ou não.

Uma forma interessante de avaliar isso é se perguntar algumas coisas:

  • há no meu banco de dados amostras que se parecem mais entre si do que com qualquer outra?
  • meu banco de dados possui mais linhas do que aquilo que eu sei que são réplicas verdadeiras?
  • há algum fator que possa agrupar as minhas amostras? (p.ex. uma população, um vaso de cultivo, um fragmento … etc.)

Se sua resposta foi sim para alguma dessas perguntas, é fato, você possui o que chamamos de *pseudoréplicas nos seus dados. O maior problema disso é que seus dados estão enganosamente** super-replicados, o que pode aumentar muito a chance de erro do tipo 1 (rejeitar uma H0 verdadeira). Uma das formas de solucionar esse problema é lançar mão da utlização de modelos mistos.

O nome modelo misto vem do fato de que além de \(y \sim x\), sendo x o que conhecemos por fator fixo (aquele que medimos e temos interesse direto), temos também o fator aleatório (que é um fator agrupador). Nosso novo modelo fica mais ou menos assim: \(y \sim x_{fixo} + x_{aleatório}\). O fator aleatório é necessariamente uma variável categórica, que, entre outras coisas, identifica a unidade de réplica verdadeira. Costumamos referir no texto que o fator aleatório é a identidade de alguma coisa. É importante todavia ter cuidado com o número de níveis dessa variável, sendo geralmente recomendado ter pelo menos 5 níveis da variável aleatória 1.

Ficará mais fácil entender essas questões com os exemplos abaixo, mas vale a pena mais uma observação aqui. Da mesma forma que tínhamos antes, podemos ter modelos mistos com distribuição Normal, chamados LMM (linear mixed models) e com todas distribuições possívels nos GLM, chamados GLMM (generalised linear mixed models). Então, as mesmas premissas que discutimos antes valem aqui!

1 Modelos Lineares Mistos (LMM)

Para esse primeiro exemplo, vamos usar um conjunto de dados que tem interesse de ver o efeito de um determinado fertilizante no crescimento da raiz de plantas. Já se sabe que o fertiilzante tem efeito em folhas, mas suspeita-se que ele pode também afetar o crescimento de raízes ao longo do tempo de vida da planta.

O experimento foi feito medindo-se o tamanho das raízes das plantas com e sem fertilizante a cada duas semanas, ao longo de 10 semanas. Veja que aqui temos o caso bem típico, a mesma planta foi medida várias vezes. Isso exemplifica exatamente o que vimos antes, as medidas na mesma planta são mais dependentes entre si. Para isso, iremos colocar a identidade da planta como fator aleatório no nosso modelo.

##Carregamento e exploração dos dados

dados <- read.table("fertilizacao.txt", h=T, stringsAsFactors = T)

summary(dados)
##       raiz            semana       planta    fertilizante
##  Min.   : 0.800   Min.   : 2   ID1    : 5   contole:30   
##  1st Qu.: 2.550   1st Qu.: 4   ID10   : 5   sim    :30   
##  Median : 4.900   Median : 6   ID11   : 5                
##  Mean   : 5.024   Mean   : 6   ID12   : 5                
##  3rd Qu.: 7.350   3rd Qu.: 8   ID2    : 5                
##  Max.   :11.100   Max.   :10   ID3    : 5                
##                                (Other):30

1.1 Construção e avaliação do modelo

library(lme4)
## Loading required package: Matrix
mod1 <- lmer(raiz~semana*fertilizante+(1|planta), data=dados)

DHARMa::simulateResiduals(mod1, plot=T)

## Object of Class DHARMa with simulated residuals based on 250 simulations with refit = FALSE . See ?DHARMa::simulateResiduals for help. 
##  
## Scaled residual values: 0.216 0.316 0.984 0.84 0.8 0.7 0.308 0.372 0.164 0.2 0.5 0.156 0.596 0.376 0.388 0.944 0.896 0.852 0.424 1 ...
anova(mod1, test="F") ##veja que não resolve
## Warning in anova.merMod(mod1, test = "F"): additional arguments ignored: 'test'
car::Anova(mod1)

1.2 Plot dos resultados

Como todos os fatores foram significativos (incluindo a interação), eu posso fazer o plot direto usando a função geom_smooth.

library(ggplot2)

ggplot(dados, aes(x=semana, y=raiz, colour=fertilizante))+
  geom_point()+
  geom_smooth(method = "lm", se=F)+
  scale_y_continuous("Tamanho da raiz (cm)")+
  scale_x_continuous("Semanas de medição")
## `geom_smooth()` using formula = 'y ~ x'

2 Modelos Lineares Generalizados Mistos (LMM)

Nossa pergunta agora é se o número de frutos de uma planta varia em função de estar sendo polinizada em locais só com espécies nativas, só invasoras e um mix de ambas. Agora temos dados de contagem como variável resposta (número de frutos). Isso nos pede para usar distribuição de Poisson. Vamos ver como fazer isso abaixo:

2.1 Carregar e inspecionar os dados

Para esse exemplo, vamos utilizar um conjunto de dados de plantas que foram amostradas em um experimento. Vários indivíduos foram amostrados no mesmo stand, o que pode gerar maior dependência entre as amostras. Vamos ver os dados:

dadosbees <- read.table("~/Dropbox/UFMG/Disciplinas/R UFAC/Aulas/Modelos Mistos/frutos_abelhas.txt", h=T, stringsAsFactors = T)

summary(dadosbees)
##             tratamento     stand          nfrutos       tamanhofruto  
##  invasora        :18   Min.   :1.000   Min.   : 1.00   Min.   : 1.80  
##  natural         :80   1st Qu.:2.000   1st Qu.: 7.00   1st Qu.:11.00  
##  natural_invasora:15   Median :4.000   Median :12.00   Median :24.50  
##                        Mean   :4.106   Mean   :11.06   Mean   :23.61  
##                        3rd Qu.:6.000   3rd Qu.:15.00   3rd Qu.:34.00  
##                        Max.   :7.000   Max.   :21.00   Max.   :50.00  
##    n_semente     
##  Min.   :  1.00  
##  1st Qu.:  9.10  
##  Median : 18.00  
##  Mean   : 23.24  
##  3rd Qu.: 28.10  
##  Max.   :298.00
head(dadosbees)

Parece haver algo um pouco estranho, pois os dados dos vasos estão mostrados de forma contínua. Conversando com quem tabulou os dados, a pessoa me contou que numerou os stands de cada tratamento, transferindo assim para a tabela. Assim, os stands de natural, invasora e natural_invasora estão com número iguais, mesmo sendo stands diferentes. Eu vou ter que criar então uma variável que avisa que 1 de controle é diferente de 1 de isolada. Vou usar a função paste para isso, ela é similar à função concatenate do Excel, bem simples de usar.

dadosbees$random <- paste(dadosbees$tratamento, dadosbees$stand, sep="_")

summary(dadosbees)
##             tratamento     stand          nfrutos       tamanhofruto  
##  invasora        :18   Min.   :1.000   Min.   : 1.00   Min.   : 1.80  
##  natural         :80   1st Qu.:2.000   1st Qu.: 7.00   1st Qu.:11.00  
##  natural_invasora:15   Median :4.000   Median :12.00   Median :24.50  
##                        Mean   :4.106   Mean   :11.06   Mean   :23.61  
##                        3rd Qu.:6.000   3rd Qu.:15.00   3rd Qu.:34.00  
##                        Max.   :7.000   Max.   :21.00   Max.   :50.00  
##    n_semente         random         
##  Min.   :  1.00   Length:113        
##  1st Qu.:  9.10   Class :character  
##  Median : 18.00   Mode  :character  
##  Mean   : 23.24                     
##  3rd Qu.: 28.10                     
##  Max.   :298.00

O programa fez o que eu mandei, mas não o que eu queria, preciso agora forçar random para um factor.

dadosbees$random <- as.factor(dadosbees$random)

summary(dadosbees)
##             tratamento     stand          nfrutos       tamanhofruto  
##  invasora        :18   Min.   :1.000   Min.   : 1.00   Min.   : 1.80  
##  natural         :80   1st Qu.:2.000   1st Qu.: 7.00   1st Qu.:11.00  
##  natural_invasora:15   Median :4.000   Median :12.00   Median :24.50  
##                        Mean   :4.106   Mean   :11.06   Mean   :23.61  
##                        3rd Qu.:6.000   3rd Qu.:15.00   3rd Qu.:34.00  
##                        Max.   :7.000   Max.   :21.00   Max.   :50.00  
##                                                                       
##    n_semente            random  
##  Min.   :  1.00   natural_5:14  
##  1st Qu.:  9.10   natural_6:13  
##  Median : 18.00   natural_7:13  
##  Mean   : 23.24   natural_3:11  
##  3rd Qu.: 28.10   natural_4:11  
##  Max.   :298.00   natural_2:10  
##                   (Other)  :41

Funcionou! Posso fazer meu modelo.

2.2 Construção e avaliação do modelo

Antes usamos a função lmer, mas agora é um glm(er), então faremos a função glmer.

modelobee <- glmer(nfrutos~tratamento+(1|random), data=dadosbees, poisson)

DHARMa::simulateResiduals(modelobee, plot = T)

## Object of Class DHARMa with simulated residuals based on 250 simulations with refit = FALSE . See ?DHARMa::simulateResiduals for help. 
##  
## Scaled residual values: 0.2342983 0.7515485 0.008623837 0.6840711 0.8231408 0.420344 0.4269619 0.3734597 0.105038 0.09447618 0.007371104 0.2707554 0.2023603 0.2141922 0.2600575 0.315343 0.4281296 0.4595107 0.8639486 0.8387564 ...

Como o modelo está ok, posso partir para testá-lo. Isso é feito da mesma forma que fiz anteriormente. Para modelos mistos, via de regra usaremos o car::Anova.

car::Anova(modelobee)

O modelo é singificativo, o que quer dizer que pelo menos um dos três níveis é diferente dos demais. Então não posso parar por aqui, preciso seguir verificando o modelo, e farei isso juntando níveis mais próximos e testando contrastes de modelos.

with(dadosbees, tapply(nfrutos, tratamento, mean))
##         invasora          natural natural_invasora 
##         5.555556        13.325000         5.600000
tratamento2 <- dadosbees$tratamento

levels(tratamento2)
## [1] "invasora"         "natural"          "natural_invasora"
levels(tratamento2)[c(1,3)] <- "tem_invasora"

modelobee2 <- glmer(nfrutos~tratamento2+(1|random), data=dadosbees, poisson)

anova(modelobee, modelobee2)
car::Anova(modelobee2)

Temos então que os níveis que possuem espécies invasoras são diferentes do controle. Vamos aprender a fazer um gráfico com barras.

medias <- Rmisc::summarySE(dadosbees, measurevar = "nfrutos", groupvars = "tratamento")

ggplot(dadosbees, aes(x=tratamento, y=nfrutos, fill=tratamento))+
  geom_bar(data = medias, aes(x=tratamento, y=nfrutos), stat="identity", alpha=.5)+
  geom_errorbar(data = medias, aes(ymin=nfrutos-se, ymax=nfrutos+se), width=.5)+
  geom_jitter(width=.3)+
  scale_y_continuous("Número de frutos")+
  scale_x_discrete("Tratamento")+
  scale_fill_manual(values = c("red", "green", "red"))+
  theme(legend.position = "null")

3 Seleção de modelos

A seleção de modelos consiste em uma lógica diferente de avaliar os nossos dados.

3.1 Carregamento dos dados

library(vegan)
## Loading required package: permute
## Loading required package: lattice
## This is vegan 2.6-4
library(MuMIn)
dados <- read.table("~/Dropbox/UFMG/Disciplinas/R UFAC/Aulas/Modelos Mistos/dados_formigas.txt", h=T, stringsAsFactors = T)

summary(dados)
##     LU_FT_Code     Trees         PrimFor_500        MF_FCCP        
##  PA      :41   Min.   :  0.00   Min.   :  0.00   Min.   :-0.66954  
##  PFlogbur:39   1st Qu.:  1.25   1st Qu.:  6.13   1st Qu.:-0.06740  
##  PFlog   :38   Median : 66.00   Median : 39.45   Median : 0.00000  
##  MA      :12   Mean   : 60.78   Mean   : 45.22   Mean   :-0.02028  
##  REF     :11   3rd Qu.:112.00   3rd Qu.: 82.72   3rd Qu.: 0.03078  
##  SFinter :11   Max.   :141.00   Max.   :100.00   Max.   : 0.45648  
##  (Other) :18                                                       
##      Canopy            Duff           CWD_AGB            FWD_AGB       
##  Min.   :0.0000   Min.   :0.0000   Min.   :  0.0000   Min.   : 0.0000  
##  1st Qu.:0.0000   1st Qu.:0.4445   1st Qu.:  0.1958   1st Qu.: 0.5322  
##  Median :0.7621   Median :1.1590   Median : 15.6528   Median : 2.7266  
##  Mean   :0.5224   Mean   :1.4363   Mean   : 25.6912   Mean   : 3.4921  
##  3rd Qu.:0.8651   3rd Qu.:2.1750   3rd Qu.: 43.3250   3rd Qu.: 5.7088  
##  Max.   :0.9520   Max.   :5.8960   Max.   :132.2479   Max.   :14.4978  
##                                                                        
##    Litter_AGB       SoilDens       ant_sp_rich   
##  Min.   :0.000   Min.   : 83.35   Min.   :21.00  
##  1st Qu.:1.050   1st Qu.:108.10   1st Qu.:34.00  
##  Median :2.586   Median :126.89   Median :39.50  
##  Mean   :2.427   Mean   :125.34   Mean   :39.32  
##  3rd Qu.:3.549   3rd Qu.:140.40   3rd Qu.:45.00  
##  Max.   :6.307   Max.   :189.19   Max.   :63.00  
## 

3.2 Construção e avaliação dos modelos

m1 <- glm(ant_sp_rich~LU_FT_Code+Trees+PrimFor_500+MF_FCCP+Canopy+Duff+CWD_AGB+FWD_AGB+Litter_AGB+SoilDens, data=dados, poisson)

DHARMa::simulateResiduals(m1, plot=T)

## Object of Class DHARMa with simulated residuals based on 250 simulations with refit = FALSE . See ?DHARMa::simulateResiduals for help. 
##  
## Scaled residual values: 0.8409394 0.1531522 0.3261575 0.3848361 0.5123564 0.257287 0.4092167 0.1069182 0.1568893 0.3697526 0.1482651 0.4993616 0.2531791 0.8882501 0.5391196 0.09694753 0.7332633 0.2827136 0.4978872 0.04214996 ...

3.3 Seleção dos modelos

options(na.action = "na.fail")

selec <- dredge(m1, extra = "R^2")
## Fixed term is "(Intercept)"
beepr::beep(9)

head(selec)
averagemod <- model.avg(selec)
summary(averagemod)
## 
## Call:
## model.avg(object = selec)
## 
## Component model call: 
## glm(formula = ant_sp_rich ~ <1024 unique rhs>, family = poisson, data = 
##      dados)
## 
## Component models: 
##                      df  logLik    AICc delta weight
## 3+4+5+8               5 -552.89 1116.15  0.00   0.03
## 3+5+8                 4 -554.14 1116.51  0.37   0.02
## 2+3+5+8               5 -553.42 1117.20  1.05   0.02
## 3+5+6                13 -544.44 1117.22  1.07   0.02
## 2+3+5+6              14 -543.38 1117.47  1.32   0.01
## 3+5+6+8              14 -543.47 1117.65  1.50   0.01
## 2+3+4+5+8             6 -552.58 1117.67  1.53   0.01
## 5+6                  12 -545.90 1117.79  1.65   0.01
## 3+6                  12 -545.98 1117.95  1.81   0.01
## 6                    11 -547.22 1118.12  1.97   0.01
## 2+5+6                13 -544.90 1118.13  1.99   0.01
## 3+5+8+10              5 -553.90 1118.17  2.02   0.01
## 3+4+5+8+10            6 -552.86 1118.24  2.10   0.01
## 3+4+5+7+8             6 -552.88 1118.27  2.12   0.01
## 3+4+5+8+9             6 -552.88 1118.27  2.13   0.01
## 1+3+4+5+8             6 -552.89 1118.29  2.15   0.01
## 1+3+5+8               5 -554.00 1118.36  2.21   0.01
## 2+3+6                13 -545.05 1118.43  2.29   0.01
## 3+5+7+8               5 -554.12 1118.61  2.46   0.01
## 3+5+8+9               5 -554.13 1118.63  2.49   0.01
## 2+6                  12 -546.33 1118.66  2.51   0.01
## 5+6+8                13 -545.19 1118.70  2.56   0.01
## 2+3+5+6+8            15 -542.80 1118.71  2.56   0.01
## 3+6+8                13 -545.26 1118.86  2.72   0.01
## 3+4+5+6              14 -544.12 1118.95  2.81   0.01
## 4+5+8                 4 -555.44 1119.12  2.97   0.01
## 2+3+5+8+10            6 -553.32 1119.15  3.00   0.01
## 3+5+6+9              14 -544.24 1119.19  3.04   0.01
## 2+3+5+6+9            15 -543.05 1119.21  3.06   0.01
## 1+2+3+5+8             6 -553.35 1119.21  3.07   0.01
## 3+5+6+10             14 -544.28 1119.26  3.11   0.01
## 2+3+5+7+8             6 -553.40 1119.32  3.17   0.01
## 2+3+5+8+9             6 -553.42 1119.35  3.20   0.01
## 6+8                  12 -546.69 1119.36  3.22   0.01
## 3+4+5+6+8            15 -543.19 1119.50  3.35   0.00
## 5+6+10               13 -545.62 1119.57  3.42   0.00
## 1+3+5+6              14 -544.44 1119.59  3.44   0.00
## 3+5+6+7              14 -544.44 1119.59  3.44   0.00
## 4+5+6                13 -545.64 1119.62  3.48   0.00
## 2+3+4+5+6            15 -543.26 1119.64  3.50   0.00
## 3+5+6+8+9            15 -543.27 1119.65  3.50   0.00
## 2+5+6+8              14 -544.51 1119.72  3.58   0.00
## 2+3+5+6+10           15 -543.30 1119.73  3.58   0.00
## 6+10                 12 -546.88 1119.74  3.59   0.00
## 2+3+4+5+7+8           7 -552.57 1119.82  3.68   0.00
## 5+8                   3 -556.84 1119.82  3.68   0.00
## 2+3+4+5+8+9           7 -552.57 1119.83  3.68   0.00
## 2+3+4+5+8+10          7 -552.57 1119.84  3.69   0.00
## 3+6+10               13 -545.75 1119.84  3.70   0.00
## 1+2+3+4+5+8           7 -552.58 1119.85  3.70   0.00
## 1+2+3+5+6            15 -543.38 1119.88  3.73   0.00
## 2+3+5+6+7            15 -543.38 1119.88  3.73   0.00
## 3+5+6+8+10           15 -543.39 1119.89  3.74   0.00
## 1+5+6                13 -545.83 1120.00  3.85   0.00
## 3+4+6                13 -545.84 1120.00  3.86   0.00
## 2+3+6+8              14 -544.65 1120.01  3.86   0.00
## 1+6                  12 -547.01 1120.01  3.87   0.00
## 3+5+6+7+8            15 -543.46 1120.03  3.89   0.00
## 5+6+9                13 -545.85 1120.04  3.89   0.00
## 1+3+5+6+8            15 -543.46 1120.04  3.90   0.00
## 2+3+5+10              5 -554.85 1120.06  3.91   0.00
## 1+3+6                13 -545.90 1120.13  3.99   0.00
## 3+6+9                13 -545.90 1120.14  3.99   0.00
## 5+6+7                13 -545.90 1120.14  3.99   0.00
## 2+5+6+10             14 -544.73 1120.18  4.03   0.00
## 4+6                  12 -547.11 1120.20  4.06   0.00
## 5+8+10                4 -556.00 1120.25  4.10   0.00
## 2+5+6+9              14 -544.78 1120.28  4.13   0.00
## 3+5+8+9+10            6 -553.88 1120.28  4.13   0.00
## 3+6+7                13 -545.98 1120.29  4.15   0.00
## 1+3+5+8+10            6 -553.90 1120.31  4.16   0.00
## 3+5+7+8+10            6 -553.90 1120.32  4.17   0.00
## 2+4+5+6              14 -544.82 1120.34  4.19   0.00
## 3+4+5+8+9+10          7 -552.84 1120.36  4.22   0.00
## 3+4+5+10              5 -555.00 1120.37  4.22   0.00
## 1+3+4+5+8+10          7 -552.86 1120.40  4.26   0.00
## 3+4+5+7+8+10          7 -552.86 1120.41  4.26   0.00
## 3+4+5+7+8+9           7 -552.86 1120.41  4.27   0.00
## 6+9                  12 -547.22 1120.42  4.27   0.00
## 1+5+8                 4 -556.09 1120.43  4.28   0.00
## 6+7                  12 -547.22 1120.43  4.29   0.00
## 1+2+5+6              14 -544.86 1120.44  4.29   0.00
## 1+3+4+5+7+8           7 -552.88 1120.44  4.30   0.00
## 1+3+4+5+8+9           7 -552.88 1120.44  4.30   0.00
## 2+6+8                13 -546.06 1120.46  4.32   0.00
## 2+5+8                 4 -556.11 1120.47  4.33   0.00
## 2+3+6+9              14 -544.90 1120.50  4.35   0.00
## 2+5+6+7              14 -544.90 1120.50  4.36   0.00
## 1+3+5+8+9             6 -554.00 1120.51  4.36   0.00
## 1+3+5+7+8             6 -554.00 1120.51  4.36   0.00
## 2+3+5+6+8+9          16 -542.49 1120.53  4.38   0.00
## 4+5+8+10              5 -555.09 1120.55  4.40   0.00
## 2+6+10               13 -546.11 1120.56  4.41   0.00
## 2+3+6+10             14 -544.93 1120.56  4.41   0.00
## 2+3+4+5               5 -555.11 1120.58  4.44   0.00
## 2+3+4+5+10            6 -554.06 1120.63  4.48   0.00
## 4+5+6+8              14 -544.96 1120.64  4.49   0.00
## 2+4+5+8               5 -555.15 1120.66  4.51   0.00
## 5+6+8+10             14 -544.99 1120.69  4.55   0.00
## 1+4+5+8               5 -555.16 1120.69  4.55   0.00
## 1+2+6                13 -546.18 1120.69  4.55   0.00
## 1+2+3+6              14 -545.00 1120.72  4.57   0.00
## 2+3+4+6              14 -545.02 1120.76  4.61   0.00
## 3+5+7+8+9             6 -554.12 1120.76  4.61   0.00
## 2+3+6+7              14 -545.05 1120.81  4.67   0.00
## 4+5+8+9               5 -555.24 1120.85  4.71   0.00
## 2+3+4+5+6+8          16 -542.67 1120.90  4.75   0.00
## 2+6+9                13 -546.30 1120.93  4.78   0.00
## 3+6+8+10             14 -545.12 1120.95  4.80   0.00
## 3+4+5+6+9            15 -543.92 1120.96  4.81   0.00
## 2+4+6                13 -546.32 1120.97  4.82   0.00
## 5+6+8+9              14 -545.14 1120.99  4.84   0.00
## 3+5+10                4 -556.38 1121.00  4.85   0.00
## 2+6+7                13 -546.33 1121.00  4.86   0.00
## 3+4+6+8              14 -545.15 1121.01  4.86   0.00
## 1+5+6+8              14 -545.15 1121.02  4.87   0.00
## 5+6+7+8              14 -545.17 1121.06  4.91   0.00
## 3+4+5+6+10           15 -543.97 1121.06  4.92   0.00
## 2+3+5+6+8+10         16 -542.76 1121.07  4.92   0.00
## 3+6+8+9              14 -545.19 1121.09  4.94   0.00
## 2+3+5+6+7+8          16 -542.78 1121.12  4.98   0.00
## 1+2+3+5+6+8          16 -542.78 1121.12  4.98   0.00
## 4+5+7+8               5 -555.39 1121.14  4.99   0.00
## 1+3+6+8              14 -545.22 1121.15  5.01   0.00
## 6+8+10               13 -546.42 1121.18  5.04   0.00
## 3+6+7+8              14 -545.26 1121.23  5.08   0.00
## 2+3+5+8+9+10          7 -553.31 1121.30  5.16   0.00
## 1+2+3+5+8+10          7 -553.31 1121.32  5.17   0.00
## 2+3+5+7+8+10          7 -553.31 1121.32  5.17   0.00
## 1+3+4+5+6            15 -544.12 1121.36  5.21   0.00
## 3+4+5+6+7            15 -544.12 1121.36  5.21   0.00
## 1+2+3+5+7+8           7 -553.35 1121.38  5.24   0.00
## 1+2+3+5+8+9           7 -553.35 1121.38  5.24   0.00
## 3+5+6+9+10           15 -544.14 1121.39  5.25   0.00
## 1+6+8                13 -546.53 1121.39  5.25   0.00
## 2+3+4+5+6+9          16 -542.94 1121.44  5.29   0.00
## 1+2+5+8               5 -555.54 1121.44  5.30   0.00
## 2+5+8+10              5 -555.54 1121.44  5.30   0.00
## 4+5+6+10             14 -545.38 1121.47  5.32   0.00
## 2+3+5+7+8+9           7 -553.40 1121.49  5.35   0.00
## 4+6+8                13 -546.60 1121.53  5.39   0.00
## 3+4+5+6+8+9          16 -542.99 1121.54  5.39   0.00
## 3+5+6+7+9            15 -544.23 1121.58  5.44   0.00
## 1+2+3+5               5 -555.61 1121.58  5.44   0.00
## 1+3+5+6+10           15 -544.23 1121.58  5.44   0.00
## 1+3+5+6+9            15 -544.24 1121.59  5.45   0.00
## 2+3+5+6+9+10         16 -543.03 1121.61  5.46   0.00
## 1+2+3+5+6+9          16 -543.04 1121.63  5.48   0.00
## 2+3+5+6+7+9          16 -543.04 1121.64  5.50   0.00
## 3+5+6+7+10           15 -544.27 1121.65  5.51   0.00
## 6+7+8                13 -546.68 1121.70  5.55   0.00
## 6+8+9                13 -546.68 1121.70  5.55   0.00
## 5+8+9+10              5 -555.67 1121.70  5.56   0.00
## 5+8+9                 4 -556.76 1121.75  5.61   0.00
## 3+4+5+6+8+10         16 -543.12 1121.79  5.65   0.00
## 1+2+3+4+5             6 -554.64 1121.79  5.65   0.00
## 5+7+8                 4 -556.79 1121.81  5.67   0.00
## 4+6+10               13 -546.77 1121.87  5.72   0.00
## 2+5+6+8+10           15 -544.38 1121.88  5.73   0.00
## 2+3+5                 4 -556.83 1121.90  5.75   0.00
## 1+4+5+6              14 -545.59 1121.90  5.75   0.00
## 4+5+6+9              14 -545.60 1121.90  5.76   0.00
## 3+4+5+6+7+8          16 -543.17 1121.91  5.76   0.00
## 1+3+4+5+6+8          16 -543.18 1121.91  5.77   0.00
## 5+6+9+10             14 -545.60 1121.91  5.77   0.00
## 4+5+8+9+10            6 -554.71 1121.93  5.79   0.00
## 2+3+4+5+6+10         16 -543.19 1121.93  5.79   0.00
## 5+6+7+10             14 -545.61 1121.93  5.79   0.00
## 2+5+6+8+9            15 -544.41 1121.94  5.79   0.00
## 1+5+6+10             14 -545.62 1121.94  5.80   0.00
## 3+4+6+10             14 -545.62 1121.95  5.80   0.00
## 2+4+5+6+8            15 -544.42 1121.96  5.81   0.00
## 1+3+5+6+7            15 -544.44 1121.99  5.84   0.00
## 4+5+6+7              14 -545.64 1122.00  5.85   0.00
## 2+3+4+5+7+8+9         8 -552.55 1122.00  5.85   0.00
## 2+3+4+5+8+9+10        8 -552.55 1122.00  5.85   0.00
## 3+5+6+8+9+10         16 -543.23 1122.01  5.87   0.00
## 2+3+4+5+7+8+10        8 -552.56 1122.02  5.87   0.00
## 1+2+3+4+5+7+8         8 -552.57 1122.02  5.88   0.00
## 1+2+3+4+5+8+10        8 -552.57 1122.03  5.88   0.00
## 1+2+3+4+5+8+9         8 -552.57 1122.03  5.89   0.00
## 1+6+10               13 -546.85 1122.04  5.89   0.00
## 1+3+5+6+8+9          16 -543.25 1122.06  5.92   0.00
## 6+7+10               13 -546.86 1122.06  5.92   0.00
## 1+2+3+5+6+10         16 -543.26 1122.07  5.93   0.00
## 1+2+3+4+5+6          16 -543.26 1122.07  5.93   0.00
## 2+3+4+5+6+7          16 -543.26 1122.08  5.93   0.00
## 3+5+6+7+8+9          16 -543.26 1122.08  5.94   0.00
## 6+9+10               13 -546.88 1122.08  5.94   0.00
## 1+2+5+6+8            15 -544.49 1122.10  5.95   0.00
## 2+5+6+7+8            15 -544.49 1122.10  5.95   0.00
## 2+3+5+9+10            6 -554.81 1122.13  5.99   0.00
## 2+3+6+8+9            15 -544.51 1122.14  6.00   0.00
## 3+6+9+10             14 -545.72 1122.15  6.00   0.00
## 2+3+5+7+10            6 -554.82 1122.15  6.01   0.00
## 1+4+6                13 -546.91 1122.16  6.01   0.00
## 2+3+5+6+7+10         16 -543.30 1122.16  6.02   0.00
## 1+5+8+10              5 -555.91 1122.18  6.03   0.00
## 1+3+5+6+8+10         16 -543.31 1122.19  6.04   0.00
## 1+5+8+9               5 -555.91 1122.19  6.05   0.00
## 3+6+7+10             14 -545.74 1122.19  6.05   0.00
## 1+2+3+5+10            6 -554.84 1122.20  6.06   0.00
## 1+3+6+10             14 -545.75 1122.22  6.07   0.00
## 3+4+6+9              14 -545.76 1122.23  6.08   0.00
## 2+3+6+8+10           15 -544.56 1122.24  6.09   0.00
## 1+3+4+6              14 -545.76 1122.24  6.09   0.00
## 2+4+5+8+10            6 -554.87 1122.26  6.11   0.00
## 1+5+6+9              14 -545.79 1122.29  6.14   0.00
## 1+2+3+5+6+7          16 -543.38 1122.31  6.17   0.00
## 1+2+4+5+8             6 -554.90 1122.31  6.17   0.00
## 3+5+6+7+8+10         16 -543.38 1122.32  6.17   0.00
## 3+4+5+9+10            6 -554.91 1122.33  6.18   0.00
## 1+4+5+8+9             6 -554.91 1122.33  6.19   0.00
## 1+6+7                13 -547.00 1122.34  6.19   0.00
## 1+6+9                13 -547.01 1122.35  6.20   0.00
## 2+3+4+6+8            15 -544.62 1122.36  6.21   0.00
## 1+2+3+6+8            15 -544.62 1122.36  6.21   0.00
## 1+3+6+9              14 -545.83 1122.37  6.22   0.00
## 1+5+6+7              14 -545.83 1122.37  6.22   0.00
## 5+7+8+10              5 -556.00 1122.37  6.23   0.00
## 3+4+6+7              14 -545.83 1122.38  6.23   0.00
## 2+5+8+9               5 -556.01 1122.39  6.25   0.00
## 2+3+6+7+8            15 -544.64 1122.40  6.26   0.00
## 5+6+7+9              14 -545.85 1122.41  6.26   0.00
## 2+4+5+6+10           15 -544.65 1122.42  6.27   0.00
## 2+4+5+8+9             6 -554.95 1122.42  6.28   0.00
## 3+4+5+7+10            6 -554.97 1122.45  6.30   0.00
## 1+3+5+8+9+10          7 -553.88 1122.45  6.30   0.00
## 2+5+6+9+10           15 -544.67 1122.45  6.30   0.00
## 3+5+7+8+9+10          7 -553.88 1122.45  6.31   0.00
## 1+3+5+6+7+8          16 -543.45 1122.46  6.31   0.00
## 2+6+8+10             14 -545.88 1122.46  6.32   0.00
## 1+3+5+7+8+10          7 -553.90 1122.49  6.34   0.00
## 1+3+6+7              14 -545.89 1122.49  6.34   0.00
## 2+5+7+8               5 -556.06 1122.49  6.34   0.00
## 1+3+4+5+10            6 -554.99 1122.49  6.34   0.00
## 2+5+10                4 -557.13 1122.50  6.35   0.00
## 3+6+7+9              14 -545.89 1122.50  6.35   0.00
## 2+4+5+6+9            15 -544.71 1122.53  6.38   0.00
## 4+6+9                13 -547.10 1122.53  6.39   0.00
## 1+3+4+5+8+9+10        8 -552.83 1122.54  6.40   0.00
## 4+6+7                13 -547.11 1122.55  6.40   0.00
## 3+4+5+7+8+9+10        8 -552.83 1122.55  6.40   0.00
## 1+5+7+8               5 -556.09 1122.55  6.40   0.00
## 1+2+5+6+10           15 -544.73 1122.58  6.43   0.00
## 1+3+4+5+7+8+10        8 -552.84 1122.58  6.44   0.00
## 2+5+6+7+10           15 -544.73 1122.58  6.44   0.00
## 1+2+6+8              14 -545.94 1122.59  6.44   0.00
## 1+3+4+5+7+8+9         8 -552.86 1122.62  6.47   0.00
## 1+2+5+6+9            15 -544.76 1122.63  6.49   0.00
## 1+4+5+8+10            6 -555.06 1122.64  6.49   0.00
## 2+3+4+5+9             6 -555.08 1122.67  6.52   0.00
## 1+3+5+7+8+9           7 -553.99 1122.68  6.53   0.00
## 4+5+7+8+10            6 -555.08 1122.68  6.53   0.00
## 4+5+6+8+10           15 -544.78 1122.68  6.54   0.00
## 2+5+6+7+9            15 -544.78 1122.68  6.54   0.00
## 1+2+4+5+6            15 -544.79 1122.69  6.55   0.00
## 2+3+4+5+9+10          7 -554.00 1122.70  6.55   0.00
## 2+4+5+7+8             6 -555.10 1122.71  6.56   0.00
## 2+3+4+5+7             6 -555.11 1122.73  6.58   0.00
## 4+5+10                4 -557.25 1122.74  6.59   0.00
## 2+4+5+6+7            15 -544.81 1122.74  6.59   0.00
## 2+3+6+9+10           15 -544.82 1122.76  6.61   0.00
## 6+7+9                13 -547.21 1122.76  6.62   0.00
## 2+3+4+5+6+8+9        17 -542.38 1122.78  6.63   0.00
## 2+3+4+5+7+10          7 -554.04 1122.78  6.63   0.00
## 2+6+8+9              14 -546.04 1122.79  6.64   0.00
## 1+2+3+4+5+10          7 -554.05 1122.79  6.65   0.00
## 2+4+6+8              14 -546.05 1122.81  6.66   0.00
## 2+6+7+8              14 -546.06 1122.82  6.68   0.00
## 1+4+5+7+8             6 -555.16 1122.83  6.68   0.00
## 1+2+3+6+9            15 -544.86 1122.84  6.69   0.00
## 1+2+5+6+7            15 -544.86 1122.85  6.70   0.00
## 4+5+7+8+9             6 -555.17 1122.85  6.71   0.00
## 2+3+4+6+9            15 -544.87 1122.86  6.72   0.00
## 1+2+6+10             14 -546.09 1122.88  6.74   0.00
## 2+4+6+10             14 -546.09 1122.90  6.75   0.00
## 2+3+6+7+9            15 -544.89 1122.90  6.76   0.00
## 2+3+4+6+10           15 -544.90 1122.91  6.77   0.00
## 2+6+9+10             14 -546.10 1122.91  6.77   0.00
## 2+6+7+10             14 -546.11 1122.93  6.78   0.00
## 1+2+3+5+6+8+9        17 -542.46 1122.94  6.79   0.00
## 3+5+7+10              5 -556.30 1122.96  6.81   0.00
## 3+5+9+10              5 -556.30 1122.96  6.81   0.00
## 4+5+6+8+9            15 -544.92 1122.96  6.81   0.00
## 2+5+8+9+10            6 -555.22 1122.96  6.81   0.00
## 2+3+6+7+10           15 -544.92 1122.96  6.82   0.00
## 1+2+3+6+10           15 -544.92 1122.97  6.82   0.00
## 2+3+5+6+8+9+10       17 -542.48 1122.99  6.84   0.00
## 2+3+5+6+7+8+9        17 -542.48 1122.99  6.85   0.00
## 1+4+5+6+8            15 -544.94 1123.01  6.86   0.00
## 4+5+6+7+8            15 -544.95 1123.01  6.86   0.00
## 1+2+6+9              14 -546.15 1123.02  6.87   0.00
## 1+3+4+5               5 -556.32 1123.02  6.87   0.00
## 1+2+4+6              14 -546.17 1123.05  6.90   0.00
## 1+2+6+7              14 -546.18 1123.07  6.92   0.00
## 5+6+8+9+10           15 -544.98 1123.07  6.92   0.00
## 1+2+3+4+6            15 -544.98 1123.07  6.93   0.00
## 1+5+6+8+10           15 -544.98 1123.09  6.94   0.00
## 5+6+7+8+10           15 -544.99 1123.10  6.95   0.00
## 5+10                  3 -558.48 1123.10  6.95   0.00
## 1+3+5+10              5 -556.38 1123.12  6.97   0.00
## 1+2+3+6+7            15 -545.00 1123.12  6.97   0.00
## 3+4+6+8+10           15 -545.01 1123.14  6.99   0.00
## 2+3+4+6+7            15 -545.02 1123.16  7.02   0.00
## 2+4+5+10              5 -556.42 1123.21  7.06   0.00
## 1+2+5+8+9             6 -555.35 1123.21  7.06   0.00
## 3+4+5+6+9+10         16 -543.83 1123.22  7.08   0.00
## 3+4+6+8+9            15 -545.08 1123.28  7.13   0.00
## 3+6+8+9+10           15 -545.08 1123.28  7.13   0.00
## 2+4+6+9              14 -546.28 1123.28  7.13   0.00
## 2+3+4+5+6+8+10       17 -542.63 1123.29  7.15   0.00
## 2+6+7+9              14 -546.30 1123.31  7.16   0.00
## 1+2+3+4+5+6+8        17 -542.65 1123.33  7.19   0.00
## 2+3+4+5+6+7+8        17 -542.65 1123.33  7.19   0.00
## 2+4+6+7              14 -546.32 1123.34  7.20   0.00
## 1+5+6+8+9            15 -545.11 1123.35  7.20   0.00
## 1+3+4+6+8            15 -545.11 1123.35  7.20   0.00
## 1+3+6+8+10           15 -545.12 1123.36  7.21   0.00
## 3+6+7+8+10           15 -545.12 1123.36  7.21   0.00
## 3+4+5                 4 -557.56 1123.37  7.23   0.00
## 1+3+4+5+6+10         16 -543.91 1123.38  7.23   0.00
## 5+6+7+8+9            15 -545.13 1123.38  7.24   0.00
## 1+2+5+8+10            6 -555.43 1123.38  7.24   0.00
## 4+6+8+10             14 -546.34 1123.39  7.24   0.00
## 3+4+5+6+7+9          16 -543.92 1123.39  7.25   0.00
## 1+3+4+5+6+9          16 -543.92 1123.40  7.25   0.00
## 1+2+3+5+6+8+10       17 -542.69 1123.40  7.25   0.00
## 3+4+6+7+8            15 -545.14 1123.40  7.26   0.00
## 1+5+6+7+8            15 -545.15 1123.41  7.27   0.00
## 1+3+6+8+9            15 -545.16 1123.43  7.28   0.00
## 3+6+7+8+9            15 -545.19 1123.49  7.35   0.00
## 3+4+5+6+7+10         16 -543.97 1123.50  7.35   0.00
## 1+2+3+5+8+9+10        8 -553.30 1123.50  7.35   0.00
## 2+3+5+7+8+9+10        8 -553.30 1123.50  7.35   0.00
## 1+2+3+5+7+8+10        8 -553.31 1123.52  7.37   0.00
## 2+3+5+6+7+8+10       17 -542.75 1123.52  7.38   0.00
## 1+6+8+10             14 -546.41 1123.52  7.38   0.00
## 1+2+3+5+6+7+8        17 -542.76 1123.56  7.41   0.00
## 6+8+9+10             14 -546.42 1123.56  7.41   0.00
## 6+7+8+10             14 -546.42 1123.56  7.41   0.00
## 1+3+6+7+8            15 -545.22 1123.56  7.41   0.00
## 1+2+3+5+7+8+9         8 -553.34 1123.58  7.44   0.00
## 2+5+7+8+10            6 -555.54 1123.59  7.44   0.00
## 1+2+5+7+8             6 -555.54 1123.59  7.44   0.00
## 1+4+6+8              14 -546.45 1123.61  7.47   0.00
## 1+2+3+5+7             6 -555.56 1123.64  7.50   0.00
## 2+3+5+9               5 -556.66 1123.69  7.55   0.00
## 1+5+8+9+10            6 -555.60 1123.71  7.56   0.00
## 2+4+5+8+9+10          7 -554.51 1123.71  7.56   0.00
## 1+2+3+5+9             6 -555.60 1123.72  7.57   0.00
## 4+5+9+10              5 -556.68 1123.73  7.58   0.00
## 5+7+8+9               5 -556.69 1123.74  7.59   0.00
## 1+3+5+6+9+10         16 -544.10 1123.75  7.61   0.00
## 2+5+9+10              5 -556.70 1123.76  7.62   0.00
## 1+6+8+9              14 -546.53 1123.77  7.62   0.00
## 1+6+7+8              14 -546.53 1123.77  7.62   0.00
## 1+3+4+5+6+7          16 -544.12 1123.80  7.65   0.00
## 3+5+6+7+9+10         16 -544.12 1123.80  7.66   0.00
## 4+5+6+9+10           15 -545.36 1123.84  7.70   0.00
## 5+7+8+9+10            6 -555.67 1123.85  7.70   0.00
## 1+4+5+6+10           15 -545.37 1123.86  7.72   0.00
## 1+3+8                 4 -557.81 1123.86  7.72   0.00
## 2+3+4+5+6+9+10       17 -542.92 1123.87  7.72   0.00
## 4+5+6+7+10           15 -545.38 1123.87  7.72   0.00
## 1+2+3+4+5+6+9        17 -542.93 1123.88  7.73   0.00
## 4+6+7+8              14 -546.59 1123.89  7.74   0.00
## 4+6+8+9              14 -546.60 1123.90  7.75   0.00
## 2+3+4+5+6+7+9        17 -542.94 1123.91  7.76   0.00
## 1+2+3+4+5+7           7 -554.62 1123.94  7.79   0.00
## 3+4+5+6+8+9+10       17 -542.96 1123.95  7.80   0.00
## 1+3+4+5+6+8+9        17 -542.97 1123.96  7.81   0.00
## 1+2+3+4+5+9           7 -554.64 1123.97  7.82   0.00
## 1+2+4+5+8+9           7 -554.65 1123.98  7.84   0.00
## 1+2+3+5+6+9+10       17 -542.98 1123.99  7.84   0.00
## 3+4+5+6+7+8+9        17 -542.98 1123.99  7.85   0.00
## 1+3+5+6+7+10         16 -544.23 1124.01  7.87   0.00
## 2+3+5+7               5 -556.83 1124.02  7.87   0.00
## 1+3+5+6+7+9          16 -544.23 1124.02  7.87   0.00
## 1+8                   3 -558.96 1124.06  7.91   0.00
## 6+7+8+9              14 -546.68 1124.07  7.92   0.00
## 2+3+5+6+7+9+10       17 -543.02 1124.07  7.93   0.00
## 1+3+4+5+6+8+10       17 -543.02 1124.07  7.93   0.00
## 1+4+5+8+9+10          7 -554.69 1124.08  7.93   0.00
## 4+5+7+8+9+10          7 -554.69 1124.08  7.93   0.00
## 1+2+3+5+6+7+9        17 -543.04 1124.10  7.95   0.00
## 1+3+4+8               5 -556.89 1124.14  7.99   0.00
## 2+4+5+6+8+10         16 -544.29 1124.14  8.00   0.00
## 5+9+10                4 -557.96 1124.17  8.02   0.00
## 2+5+6+8+9+10         16 -544.32 1124.20  8.05   0.00
## 2+3+4+5+7+8+9+10      9 -552.54 1124.21  8.06   0.00
## 1+4+6+10             14 -546.75 1124.21  8.06   0.00
## 2+4+5+6+8+9          16 -544.33 1124.21  8.07   0.00
## 1+2+3+4+5+8+9+10      9 -552.55 1124.22  8.07   0.00
## 1+4+5+6+9            15 -545.55 1124.22  8.08   0.00
## 1+2+3+4+5+7+8+9       9 -552.55 1124.23  8.08   0.00
## 1+2+3+4+5+7+8+10      9 -552.55 1124.23  8.09   0.00
## 4+6+7+10             14 -546.76 1124.23  8.09   0.00
## 4+6+9+10             14 -546.77 1124.25  8.10   0.00
## 3+4+5+6+7+8+10       17 -543.11 1124.25  8.10   0.00
## 2+3+5+7+9+10          7 -554.79 1124.26  8.12   0.00
## 3+4+6+9+10           15 -545.58 1124.28  8.14   0.00
## 1+2+3+4+5+6+10       17 -543.13 1124.29  8.14   0.00
## 1+2+3+5+9+10          7 -554.81 1124.30  8.16   0.00
## 1+2+5+6+8+10         16 -544.37 1124.30  8.16   0.00
## 1+4+5+6+7            15 -545.59 1124.31  8.16   0.00
## 2+5+6+7+8+10         16 -544.38 1124.31  8.16   0.00
## 5+6+7+9+10           15 -545.59 1124.31  8.16   0.00
## 4+5+6+7+9            15 -545.60 1124.31  8.16   0.00
## 1+2+3+5+7+10          7 -554.81 1124.31  8.17   0.00
## 1+5+6+9+10           15 -545.60 1124.32  8.17   0.00
## 1+5+7+8+10            6 -555.90 1124.32  8.18   0.00
## 3+4+6+7+10           15 -545.61 1124.34  8.19   0.00
## 1+3+4+5+6+7+8        17 -543.16 1124.34  8.19   0.00
## 1+5+6+7+10           15 -545.61 1124.34  8.19   0.00
## 1+5+7+8+9             6 -555.91 1124.34  8.19   0.00
## 1+3+5+6+8+9+10       17 -543.16 1124.35  8.20   0.00
## 1+2+5+6+8+9          16 -544.40 1124.35  8.21   0.00
## 1+3+4+6+10           15 -545.62 1124.35  8.21   0.00
## 2+4+5+6+7+8          16 -544.40 1124.35  8.21   0.00
## 2+5+6+7+8+9          16 -544.40 1124.35  8.21   0.00
## 1+2+4+5+8+10          7 -554.83 1124.36  8.21   0.00
## 1+2+4+5+6+8          16 -544.41 1124.37  8.22   0.00
## 1+6+7+10             14 -546.84 1124.38  8.24   0.00
## 2+4+5+9+10            6 -555.94 1124.39  8.24   0.00
## 2+5+7+8+9             6 -555.94 1124.40  8.26   0.00
## 2+3+4+5+6+7+10       17 -543.19 1124.40  8.26   0.00
## 1+2+5+10              5 -557.02 1124.41  8.27   0.00
## 1+6+9+10             14 -546.85 1124.41  8.27   0.00
## 2+4+5+7+8+10          7 -554.86 1124.41  8.27   0.00
## 6+7+9+10             14 -546.86 1124.44  8.29   0.00
## 3+4+5+7+9+10          7 -554.88 1124.45  8.30   0.00
## 2+4+5+7+8+9           7 -554.88 1124.45  8.30   0.00
## 1+3+4+5+9+10          7 -554.89 1124.47  8.32   0.00
## 1+2+4+5+7+8           7 -554.89 1124.47  8.33   0.00
## 1+2+5                 4 -558.12 1124.48  8.33   0.00
## 1+4+5+7+8+9           7 -554.89 1124.48  8.33   0.00
## 3+5+6+7+8+9+10       17 -543.23 1124.48  8.34   0.00
## 2+3+6+8+9+10         16 -544.46 1124.48  8.34   0.00
## 1+2+5+6+7+8          16 -544.48 1124.51  8.37   0.00
## 1+3+4+6+9            15 -545.70 1124.51  8.37   0.00
## 3+6+7+9+10           15 -545.70 1124.52  8.37   0.00
## 1+3+5+6+7+8+9        17 -543.25 1124.52  8.37   0.00
## 1+4+6+7              14 -546.91 1124.52  8.37   0.00
## 1+4+6+9              14 -546.91 1124.53  8.38   0.00
## 1+4+8                 4 -558.14 1124.53  8.38   0.00
## 2+3+4+6+8+9          16 -544.49 1124.54  8.39   0.00
## 1+2+3+4+5+6+7        17 -543.26 1124.54  8.40   0.00
## 1+2+3+5+6+7+10       17 -543.26 1124.54  8.40   0.00
## 1+2+3+8               5 -557.09 1124.54  8.40   0.00
## 1+2+3+6+8+9          16 -544.50 1124.55  8.40   0.00
## 1+3+6+9+10           15 -545.72 1124.55  8.40   0.00
## 2+5+7+10              5 -557.10 1124.57  8.42   0.00
## 2+3+6+7+8+9          16 -544.51 1124.58  8.43   0.00
## 1+3+6+7+10           15 -545.74 1124.60  8.45   0.00
## 1+3+4+5+7+10          7 -554.96 1124.61  8.46   0.00
## 2+3+4+6+8+10         16 -544.53 1124.62  8.47   0.00
## 3+4+6+7+9            15 -545.76 1124.63  8.48   0.00
## 1+3+4+6+7            15 -545.76 1124.63  8.49   0.00
## 1+3+5+6+7+8+10       17 -543.31 1124.64  8.49   0.00
## 1+3+5+7+8+9+10        8 -553.88 1124.65  8.50   0.00
## 2+3+6+7+8+10         16 -544.56 1124.67  8.53   0.00
## 1+2+3+6+8+10         16 -544.56 1124.67  8.53   0.00
## 1+2+3                 4 -558.22 1124.68  8.54   0.00
## 1+5+6+7+9            15 -545.78 1124.69  8.54   0.00
## 1+6+7+9              14 -547.00 1124.70  8.56   0.00
## 2+4+5+6+9+10         16 -544.59 1124.73  8.59   0.00
## 1+3+6+7+9            15 -545.81 1124.74  8.60   0.00
## 1+2+3+4+6+8          16 -544.60 1124.75  8.60   0.00
## 1+3+4+5+7+8+9+10      9 -552.81 1124.75  8.60   0.00
## 2+3+4+6+7+8          16 -544.61 1124.78  8.64   0.00
## 4+5+7+10              5 -557.21 1124.79  8.64   0.00
## 1+2+3+6+7+8          16 -544.62 1124.79  8.65   0.00
## 1+4+5+7+8+10          7 -555.06 1124.81  8.66   0.00
## 1+4+5+10              5 -557.22 1124.81  8.67   0.00
## 1+2+6+8+10           15 -545.86 1124.83  8.69   0.00
## 2+4+6+8+10           15 -545.86 1124.84  8.69   0.00
## 2+3+4+5+7+9           7 -555.08 1124.84  8.70   0.00
## 1+2+4+5+6+10         16 -544.65 1124.85  8.70   0.00
## 2+4+5+6+7+10         16 -544.65 1124.86  8.71   0.00
## 2+6+8+9+10           15 -545.87 1124.86  8.71   0.00
## 2+6+7+8+10           15 -545.88 1124.87  8.72   0.00
## 2+3+4+5+7+9+10        8 -553.99 1124.88  8.74   0.00
## 1+2+5+6+9+10         16 -544.66 1124.88  8.74   0.00
## 2+5+6+7+9+10         16 -544.66 1124.89  8.74   0.00
## 1+2+3+4+5+9+10        8 -554.00 1124.89  8.74   0.00
## 1+2+8                 4 -558.32 1124.89  8.74   0.00
## 4+6+7+9              14 -547.10 1124.91  8.76   0.00
## 1+2+4+5+6+9          16 -544.69 1124.93  8.78   0.00
## 1+2+6+8+9            15 -545.92 1124.95  8.81   0.00
## 1+2+4+5               5 -557.30 1124.96  8.81   0.00
## 3+5+7+9+10            6 -556.22 1124.96  8.82   0.00
## 2+4+5+6+7+9          16 -544.71 1124.97  8.82   0.00
## 1+2+4+6+8            15 -545.93 1124.97  8.82   0.00
## 1+2+3+4+5+7+10        8 -554.04 1124.98  8.83   0.00
## 1+2+5+8+9+10          7 -555.14 1124.98  8.83   0.00
## 1+2+6+7+8            15 -545.94 1124.99  8.85   0.00
## 1+5+10                4 -558.38 1125.01  8.86   0.00
## 1+2+5+6+7+10         16 -544.73 1125.02  8.87   0.00
## 5+7+10                4 -558.40 1125.04  8.90   0.00
## 1+3+4+5+7             6 -556.27 1125.06  8.91   0.00
## 1+2+5+6+7+9          16 -544.76 1125.07  8.93   0.00
## 1+3+5+7+10            6 -556.28 1125.08  8.94   0.00
## 4+5+6+8+9+10         16 -544.77 1125.09  8.94   0.00
## 1+4+5+6+8+10         16 -544.77 1125.09  8.95   0.00
## 1+3+5+9+10            6 -556.29 1125.10  8.96   0.00
## 4+5+6+7+8+10         16 -544.78 1125.11  8.96   0.00
## 2+5+7+8+9+10          7 -555.22 1125.12  8.98   0.00
## 1+2+4+5+6+7          16 -544.79 1125.13  8.98   0.00
## 2+3+4+6+9+10         16 -544.80 1125.15  9.01   0.00
## 1+3+4+5+9             6 -556.32 1125.16  9.02   0.00
## 2+4+6+8+9            15 -546.03 1125.17  9.02   0.00
## 2+6+7+8+9            15 -546.03 1125.18  9.04   0.00
## 2+3+6+7+9+10         16 -544.81 1125.18  9.04   0.00
## 1+2+3+6+9+10         16 -544.82 1125.19  9.05   0.00
## 2+4+6+7+8            15 -546.04 1125.20  9.05   0.00
## 1+2+3+4+5+6+8+9      18 -542.33 1125.20  9.05   0.00
## 1+3+5                 4 -558.50 1125.24  9.09   0.00
## 1+2+3+4+6+9          16 -544.84 1125.24  9.09   0.00
## 1+2+4+6+10           15 -546.07 1125.26  9.12   0.00
## 2+3+4+5+6+7+8+9      18 -542.37 1125.27  9.12   0.00
## 1+2+3+6+7+9          16 -544.86 1125.27  9.12   0.00
## 1+2+6+9+10           15 -546.08 1125.27  9.12   0.00
## 2+3+4+5+6+8+9+10     18 -542.37 1125.27  9.12   0.00
## 1+2+4+5+10            6 -556.38 1125.28  9.13   0.00
## 1+2+6+7+10           15 -546.08 1125.28  9.14   0.00
## 2+4+6+9+10           15 -546.09 1125.29  9.14   0.00
## 3+4+5+9               5 -557.46 1125.29  9.14   0.00
## 2+3+4+6+7+9          16 -544.87 1125.30  9.15   0.00
## 2+4+6+7+10           15 -546.09 1125.30  9.16   0.00
## 1+2+3+4               5 -557.47 1125.31  9.16   0.00
## 2+6+7+9+10           15 -546.10 1125.31  9.17   0.00
## 2+4+5+7+10            6 -556.41 1125.33  9.19   0.00
## 2+3+4+6+7+10         16 -544.90 1125.35  9.20   0.00
## 1+2+3+4+6+10         16 -544.90 1125.35  9.20   0.00
## 1+2+3+5+6+8+9+10     18 -542.42 1125.36  9.21   0.00
## 1+4+5+6+8+9          16 -544.91 1125.37  9.22   0.00
## 4+5+6+7+8+9          16 -544.91 1125.37  9.23   0.00
## 1+2+5+7+8+9           7 -555.34 1125.38  9.24   0.00
## 1+2+3+6+7+10         16 -544.92 1125.40  9.25   0.00
## 1+2+4+6+9            15 -546.14 1125.40  9.26   0.00
## 1+2+6+7+9            15 -546.15 1125.42  9.27   0.00
## 1+4+5+6+7+8          16 -544.93 1125.42  9.27   0.00
## 1+2+3+5+6+7+8+9      18 -542.45 1125.42  9.28   0.00
## 1+2+4+6+7            15 -546.17 1125.45  9.30   0.00
## 2+3+5+6+7+8+9+10     18 -542.48 1125.49  9.34   0.00
## 1+5+6+8+9+10         16 -544.97 1125.49  9.35   0.00
## 3+4+5+7               5 -557.56 1125.49  9.35   0.00
## 3+4+6+8+9+10         16 -544.97 1125.50  9.36   0.00
## 5+6+7+8+9+10         16 -544.97 1125.50  9.36   0.00
## 1+2+3+4+8             6 -556.49 1125.50  9.36   0.00
## 1+2+3+4+6+7          16 -544.98 1125.51  9.36   0.00
## 1+5+6+7+8+10         16 -544.98 1125.52  9.37   0.00
## 1+2+5+7+8+10          7 -555.43 1125.56  9.41   0.00
## 3+4+6+7+8+10         16 -545.01 1125.58  9.43   0.00
## 1+3+4+5+6+9+10       17 -543.77 1125.58  9.43   0.00
## 1+3+4+6+8+10         16 -545.01 1125.58  9.43   0.00
## 1+2+3+4+5+6+8+10     18 -542.55 1125.62  9.48   0.00
## 1+3+4+6+8+9          16 -545.05 1125.66  9.51   0.00
## 1+8+9                 4 -558.71 1125.67  9.53   0.00
## 3+4+5+6+7+9+10       17 -543.83 1125.68  9.54   0.00
## 2+4+6+7+9            15 -546.28 1125.69  9.54   0.00
## 3+4+6+7+8+9          16 -545.08 1125.71  9.56   0.00
## 3+6+7+8+9+10         16 -545.08 1125.71  9.57   0.00
## 1+3+6+8+9+10         16 -545.08 1125.71  9.57   0.00
## 1+2+3+5+7+8+9+10      9 -553.30 1125.72  9.58   0.00
## 1+2                   3 -559.79 1125.73  9.58   0.00
## 1+3+8+10              5 -557.69 1125.75  9.60   0.00
## 1+2+5+9+10            6 -556.62 1125.76  9.62   0.00
## 1+4+6+8+10           15 -546.33 1125.77  9.62   0.00
## 2+3+4+5+6+7+8+10     18 -542.62 1125.77  9.63   0.00
## 1+8+10                4 -558.77 1125.78  9.63   0.00
## 1+5+6+7+8+9          16 -545.11 1125.78  9.63   0.00
## 1+3+4+6+7+8          16 -545.11 1125.78  9.64   0.00
## 1+2+3+4+5+6+7+8      18 -542.63 1125.78  9.64   0.00
## 1+3+6+7+8+10         16 -545.12 1125.79  9.65   0.00
## 4+6+8+9+10           15 -546.34 1125.80  9.65   0.00
## 4+6+7+8+10           15 -546.34 1125.80  9.65   0.00
## 1+2+3+5+7+9           7 -555.56 1125.80  9.66   0.00
## 4+5+7+9+10            6 -556.66 1125.84  9.69   0.00
## 1+2+3+10              5 -557.74 1125.84  9.70   0.00
## 2+3+5+7+9             6 -556.66 1125.84  9.70   0.00
## 1+3+4+5+6+7+10       17 -543.91 1125.85  9.70   0.00
## 1+3+4+5+6+7+9        17 -543.92 1125.86  9.72   0.00
## 1+4+5+9+10            6 -556.67 1125.86  9.72   0.00
## 1+3+6+7+8+9          16 -545.16 1125.87  9.72   0.00
## 1+2+4+5+8+9+10        8 -554.49 1125.87  9.72   0.00
## 1+2+3+5+6+7+8+10     18 -542.67 1125.87  9.73   0.00
## 2+4+5+7+8+9+10        8 -554.49 1125.88  9.73   0.00
## 2+5+7+9+10            6 -556.68 1125.88  9.73   0.00
## 1+5+7+8+9+10          7 -555.60 1125.88  9.74   0.00
## 1+3+8+9               5 -557.76 1125.89  9.74   0.00
## 1+3+4                 4 -558.84 1125.91  9.77   0.00
## 1+3+7+8               5 -557.78 1125.93  9.78   0.00
## 1+6+7+8+10           15 -546.41 1125.93  9.78   0.00
## 1+6+8+9+10           15 -546.41 1125.93  9.78   0.00
## 6+7+8+9+10           15 -546.42 1125.96  9.82   0.00
## 1+2+4+8               5 -557.80 1125.97  9.82   0.00
## 1+4+8+9               5 -557.82 1126.00  9.86   0.00
## 1+4+6+8+9            15 -546.45 1126.02  9.87   0.00
## 1+4+6+7+8            15 -546.45 1126.02  9.87   0.00
## 3+4+10                4 -558.92 1126.08  9.93   0.00
## 1+7+8                 4 -558.93 1126.10  9.95   0.00
## 1+3+4+8+9             6 -556.80 1126.12  9.97   0.00
## 1+2+3+4+5+7+9         8 -554.62 1126.14 10.00   0.00
## 1+2+4+5+7+8+9         8 -554.63 1126.16 10.01   0.00
## 1+5+9+10              5 -557.90 1126.17 10.02   0.00
## 1+6+7+8+9            15 -546.53 1126.17 10.03   0.00
## 5+7+9+10              5 -557.91 1126.18 10.03   0.00
## 1+3+4+8+10            6 -556.84 1126.19 10.04   0.00
## 1+3+5+6+7+9+10       17 -544.09 1126.21 10.06   0.00
## 1+3+4+10              5 -557.93 1126.22 10.07   0.00
## 1+2+3+4+5+6+9+10     18 -542.86 1126.26 10.11   0.00
## 1+4+5+7+8+9+10        8 -554.68 1126.26 10.12   0.00
## 1+3+4+5+6+8+9+10     18 -542.87 1126.27 10.12   0.00
## 1+3+4+7+8             6 -556.88 1126.27 10.12   0.00
## 1+4+5+6+9+10         16 -545.36 1126.27 10.13   0.00
## 4+5+6+7+9+10         16 -545.36 1126.28 10.13   0.00
## 1+4+5                 4 -559.02 1126.29 10.14   0.00
## 4+6+7+8+9            15 -546.59 1126.29 10.15   0.00
## 1+4+5+6+7+10         16 -545.37 1126.30 10.15   0.00
## 1+2+10                4 -559.04 1126.33 10.18   0.00
## 1+3+10                4 -559.04 1126.33 10.18   0.00
## 2+3+4+5+6+7+9+10     18 -542.92 1126.37 10.22   0.00
## 1+2+5+9               5 -558.01 1126.38 10.23   0.00
## 1+2+3+4+5+6+7+9      18 -542.93 1126.38 10.24   0.00
## 1+4+8+10              5 -558.03 1126.43 10.29   0.00
## 1+3+4+5+6+7+8+9      18 -542.95 1126.43 10.29   0.00
## 3+4+5+6+7+8+9+10     18 -542.96 1126.44 10.30   0.00
## 1+2+3+4+5+7+8+9+10   10 -552.53 1126.45 10.30   0.00
## 1+2+3+5+7+9+10        8 -554.78 1126.45 10.30   0.00
## 1+2+5+7+10            6 -556.98 1126.47 10.32   0.00
## 1+2+4                 4 -559.11 1126.47 10.33   0.00
## 1+2+5+7               5 -558.05 1126.47 10.33   0.00
## 1+2+3+5+6+7+9+10     18 -542.98 1126.49 10.35   0.00
## 1+2+8+9               5 -558.07 1126.50 10.35   0.00
## 2+4+5+6+8+9+10       17 -544.24 1126.51 10.36   0.00
## 1+2+4+5+9+10          7 -555.92 1126.53 10.38   0.00
## 1+3+4+5+6+7+8+10     18 -543.01 1126.54 10.40   0.00
## 1+2+4+5+7+8+10        8 -554.83 1126.55 10.40   0.00
## 2+4+5+7+9+10          7 -555.93 1126.55 10.41   0.00
## 2+3+10                4 -559.17 1126.58 10.44   0.00
## 1+2+3+8+9             6 -557.04 1126.59 10.44   0.00
## 1+2+4+5+6+8+10       17 -544.28 1126.59 10.45   0.00
## 1+4+6+7+10           15 -546.74 1126.60 10.45   0.00
## 2+4+5+6+7+8+10       17 -544.29 1126.60 10.45   0.00
## 1+2+3+8+10            6 -557.05 1126.61 10.46   0.00
## 1+2+3+7               5 -558.12 1126.61 10.47   0.00
## 1+4+6+9+10           15 -546.75 1126.62 10.47   0.00
## 1+10                  3 -560.24 1126.63 10.48   0.00
## 1+3+4+5+7+9+10        8 -554.87 1126.63 10.48   0.00
## 1+4+7+8               5 -558.13 1126.63 10.49   0.00
## 4+6+7+9+10           15 -546.76 1126.64 10.49   0.00
## 1+2+3+7+8             6 -557.07 1126.65 10.51   0.00
## 1+4+5+6+7+9          16 -545.55 1126.66 10.51   0.00
## 2+4+5+6+7+8+9        17 -544.32 1126.66 10.51   0.00
## 1+2+5+6+8+9+10       17 -544.32 1126.66 10.51   0.00
## 2+5+6+7+8+9+10       17 -544.32 1126.66 10.52   0.00
## 1+2+4+5+6+8+9        17 -544.32 1126.67 10.52   0.00
## 3+4+8+10              5 -558.16 1126.68 10.54   0.00
## 3+4+6+7+9+10         16 -545.57 1126.70 10.55   0.00
## 1+3+4+6+9+10         16 -545.58 1126.72 10.58   0.00
## 1+5+6+7+9+10         16 -545.59 1126.74 10.60   0.00
## 1+2+3+4+10            6 -557.12 1126.75 10.61   0.00
## 1+4+10                4 -559.26 1126.76 10.61   0.00
## 1+2+5+6+7+8+10       17 -544.37 1126.76 10.61   0.00
## 1+2+4+5+9             6 -557.12 1126.76 10.62   0.00
## 1+3+4+6+7+10         16 -545.61 1126.77 10.63   0.00
## 1+2+3+9               5 -558.21 1126.78 10.63   0.00
## 1+2+3+4+5+6+7+10     18 -543.13 1126.79 10.64   0.00
## 1+6+7+9+10           15 -546.84 1126.79 10.65   0.00
## 2+4+5                 4 -559.28 1126.80 10.65   0.00
## 1+2+5+6+7+8+9        17 -544.39 1126.81 10.66   0.00
## 1+2+4+5+6+7+8        17 -544.39 1126.81 10.66   0.00
## 1+2+8+10              5 -558.22 1126.81 10.67   0.00
## 1+3+5+6+7+8+9+10     18 -543.16 1126.84 10.70   0.00
## 2+3+4+10              5 -558.25 1126.87 10.72   0.00
## 1+4+5+7+10            6 -557.18 1126.87 10.73   0.00
## 3+10                  3 -560.37 1126.88 10.74   0.00
## 2+3+4+6+8+9+10       17 -544.44 1126.91 10.76   0.00
## 1+5+7+10              5 -558.27 1126.91 10.76   0.00
## 1+4+6+7+9            15 -546.90 1126.92 10.77   0.00
## 1+3+4+6+7+9          16 -545.69 1126.93 10.78   0.00
## 1+3+6+7+9+10         16 -545.70 1126.95 10.81   0.00
## 1+2+3+6+8+9+10       17 -544.46 1126.95 10.81   0.00
## 2+3+6+7+8+9+10       17 -544.46 1126.95 10.81   0.00
## 1+2+7+8               5 -558.30 1126.97 10.82   0.00
## 1+2+3+4+6+8+9        17 -544.48 1126.98 10.83   0.00
## 4+10                  3 -560.43 1127.00 10.85   0.00
## 2+3+4+6+7+8+9        17 -544.49 1127.00 10.86   0.00
## 1+3+5+7               5 -558.33 1127.02 10.87   0.00
## 1+2+3+6+7+8+9        17 -544.50 1127.02 10.87   0.00
## 3+8+10                4 -559.40 1127.04 10.90   0.00
## 1+2+4+5+7             6 -557.27 1127.05 10.90   0.00
## 2+3+4+6+7+8+10       17 -544.53 1127.09 10.94   0.00
## 1+2+3+4+6+8+10       17 -544.53 1127.09 10.94   0.00
## 1+2+3+4+5+7+9+10      9 -553.99 1127.10 10.96   0.00
## 1+3+5+7+9+10          7 -556.21 1127.12 10.97   0.00
## 1+8+9+10              5 -558.38 1127.12 10.97   0.00
## 1+2+3+6+7+8+10       17 -544.56 1127.14 11.00   0.00
## 1+2+5+7+8+9+10        8 -555.14 1127.18 11.03   0.00
## 1+2+4+5+6+9+10       17 -544.58 1127.20 11.05   0.00
## 2+4+5+6+7+9+10       17 -544.59 1127.20 11.06   0.00
## 1+2+3+4+6+7+8        17 -544.59 1127.21 11.07   0.00
## 1+3+4+5+7+9           7 -556.27 1127.23 11.08   0.00
## 1+2+4+6+8+10         16 -545.84 1127.24 11.10   0.00
## 1+2+6+8+9+10         16 -545.85 1127.26 11.11   0.00
## 1+4                   3 -560.56 1127.27 11.12   0.00
## 2+4+6+8+9+10         16 -545.86 1127.27 11.12   0.00
## 1+2+6+7+8+10         16 -545.86 1127.27 11.13   0.00
## 2+4+6+7+8+10         16 -545.86 1127.28 11.13   0.00
## 1+3                   3 -560.57 1127.29 11.15   0.00
## 2+6+7+8+9+10         16 -545.87 1127.30 11.15   0.00
## 1+3+5+9               5 -558.47 1127.31 11.16   0.00
## 1+2+4+5+6+7+10       17 -544.65 1127.32 11.17   0.00
## 1+2+3+4+7             6 -557.41 1127.34 11.20   0.00
## 1+2+5+6+7+9+10       17 -544.66 1127.35 11.21   0.00
## 1+2+4+6+8+9          16 -545.91 1127.37 11.22   0.00
## 4+8+10                4 -559.57 1127.38 11.24   0.00
## 1+2+3+4+9             6 -557.44 1127.39 11.24   0.00
## 1+2+4+10              5 -558.51 1127.39 11.24   0.00
## 1+2+6+7+8+9          16 -545.92 1127.39 11.25   0.00
## 1+2+4+5+6+7+9        17 -544.69 1127.40 11.25   0.00
## 1+2+4+6+7+8          16 -545.92 1127.40 11.26   0.00
## 1+2+4+5+7+10          7 -556.36 1127.41 11.27   0.00
## 3+4+5+7+9             6 -557.46 1127.44 11.29   0.00
## 2+10                  3 -560.66 1127.46 11.32   0.00
## 1+2+4+8+9             6 -557.48 1127.47 11.33   0.00
## 1+2+9                 4 -559.62 1127.49 11.34   0.00
## 8+10                  3 -560.68 1127.51 11.36   0.00
## 1+2+3+4+8+9           7 -556.41 1127.51 11.37   0.00
## 1+4+5+6+8+9+10       17 -544.75 1127.53 11.39   0.00
## 1+4+5+6+7+8+10       17 -544.76 1127.55 11.40   0.00
## 4+5+6+7+8+9+10       17 -544.76 1127.55 11.40   0.00
## 4+9+10                4 -559.66 1127.55 11.41   0.00
## 10                    2 -561.74 1127.56 11.41   0.00
## 1+2+9+10              5 -558.60 1127.56 11.42   0.00
## 2+4+6+7+8+9          16 -546.02 1127.59 11.45   0.00
## 1+2+7                 4 -559.68 1127.61 11.47   0.00
## 2+3+4+6+7+9+10       17 -544.79 1127.61 11.47   0.00
## 1+2+3+4+6+9+10       17 -544.80 1127.62 11.47   0.00
## 3+4+9+10              5 -558.63 1127.62 11.48   0.00
## 1+2+3+4+8+10          7 -556.47 1127.64 11.49   0.00
## 1+2+3+4+5+6+8+9+10   19 -542.29 1127.64 11.50   0.00
## 1+2+3+6+7+9+10       17 -544.81 1127.65 11.50   0.00
## 1+2+3+4+7+8           7 -556.49 1127.66 11.52   0.00
## 1+3+8+9+10            6 -557.58 1127.67 11.52   0.00
## 1+4+8+9+10            6 -557.58 1127.68 11.53   0.00
## 1+2+4+6+9+10         16 -546.06 1127.68 11.53   0.00
## 1+9+10                4 -559.73 1127.69 11.55   0.00
## 1+2+4+6+7+10         16 -546.07 1127.69 11.55   0.00
## 1+2+6+7+9+10         16 -546.07 1127.70 11.55   0.00
## 1+2+3+4+6+7+9        17 -544.84 1127.70 11.56   0.00
## 1+2+3+4+5+6+7+8+9    19 -542.32 1127.71 11.56   0.00
## 1+4+9+10              5 -558.68 1127.72 11.57   0.00
## 2+4+6+7+9+10         16 -546.08 1127.72 11.58   0.00
## 1+2+3+9+10            6 -557.62 1127.75 11.61   0.00
## 1+7+8+9               5 -558.70 1127.76 11.61   0.00
## 2+3+4+5+6+7+8+9+10   19 -542.36 1127.80 11.65   0.00
## 1+2+3+4+6+7+10       17 -544.89 1127.82 11.67   0.00
## 1+4+5+6+7+8+9        17 -544.90 1127.82 11.67   0.00
## 1+3+4+7               5 -558.73 1127.82 11.67   0.00
## 1+2+3+7+10            6 -557.65 1127.82 11.68   0.00
## 1+3+7+8+10            6 -557.66 1127.83 11.68   0.00
## 1+7+8+10              5 -558.73 1127.83 11.68   0.00
## 1+2+4+6+7+9          16 -546.14 1127.83 11.69   0.00
## 2+3+8+10              5 -558.73 1127.84 11.69   0.00
## 1+2+5+7+9+10          7 -556.59 1127.88 11.73   0.00
## 1+2+3+5+6+7+8+9+10   19 -542.41 1127.88 11.74   0.00
## 2+4+10                4 -559.83 1127.89 11.75   0.00
## 1+5+6+7+8+9+10       17 -544.97 1127.96 11.81   0.00
## 1+3+4+9+10            6 -557.72 1127.96 11.82   0.00
## 1+3+4+6+8+9+10       17 -544.97 1127.97 11.83   0.00
## 3+4+6+7+8+9+10       17 -544.97 1127.97 11.83   0.00
## 1+2+4+8+10            6 -557.74 1127.99 11.84   0.00
## 1+3+7+8+9             6 -557.74 1127.99 11.84   0.00
## 1+4+5+7+9+10          7 -556.65 1127.99 11.84   0.00
## 1+3+4+9               5 -558.81 1127.99 11.85   0.00
## 1+3+4+6+7+8+10       17 -545.01 1128.04 11.90   0.00
## 1+3+4+5+6+7+9+10     18 -543.77 1128.07 11.93   0.00
## 1+2+4+5+7+8+9+10      9 -554.48 1128.08 11.93   0.00
## 1+3+4+8+9+10          7 -556.70 1128.08 11.94   0.00
## 1+2+4+7+8             6 -557.79 1128.10 11.95   0.00
## 1+3+9+10              5 -558.87 1128.10 11.95   0.00
## 1+5                   3 -560.98 1128.10 11.96   0.00
## 1+4+5+9               5 -558.87 1128.11 11.96   0.00
## 1+2+4+9               5 -558.88 1128.12 11.97   0.00
## 1+2+3+4+5+6+7+8+10   19 -542.53 1128.12 11.97   0.00
## 1+3+4+6+7+8+9        17 -545.05 1128.13 11.98   0.00
## 1+3+7+10              5 -558.89 1128.14 11.99   0.00
## 1+4+7+8+9             6 -557.82 1128.15 12.00   0.00
## 1+5+7+9+10            6 -557.82 1128.16 12.01   0.00
## 4+8+9+10              5 -558.90 1128.17 12.03   0.00
## 3+4+7+10              5 -558.91 1128.18 12.03   0.00
## 2+3+4+8+10            6 -557.83 1128.18 12.04   0.00
## 1+3+6+7+8+9+10       17 -545.08 1128.19 12.04   0.00
## 1+3+4+7+10            6 -557.84 1128.20 12.06   0.00
## 9+10                  3 -561.03 1128.20 12.06   0.00
## 1+4+6+8+9+10         16 -546.33 1128.21 12.06   0.00
## 1+4+6+7+8+10         16 -546.33 1128.21 12.06   0.00
## 1+2+8+9+10            6 -557.85 1128.22 12.08   0.00
## 4+6+7+8+9+10         16 -546.34 1128.23 12.09   0.00
## 1+4+5+7               5 -558.94 1128.24 12.10   0.00
## 1+2+7+10              5 -558.95 1128.27 12.12   0.00
## 2+9+10                4 -560.02 1128.28 12.13   0.00
## 1+3+4+7+8+9           7 -556.79 1128.28 12.13   0.00
## 2+3+9+10              5 -558.96 1128.29 12.15   0.00
## 1+3+4+7+8+10          7 -556.82 1128.34 12.19   0.00
## 3+4+8+9+10            6 -557.92 1128.35 12.21   0.00
## 1+6+7+8+9+10         16 -546.41 1128.37 12.22   0.00
## 8+9+10                4 -560.08 1128.39 12.25   0.00
## 1+7+10                4 -560.08 1128.40 12.25   0.00
## 1+2+5+7+9             6 -557.95 1128.42 12.27   0.00
## 3+9+10                4 -560.10 1128.44 12.29   0.00
## 1+4+6+7+8+9          16 -546.45 1128.46 12.31   0.00
## 1+2+4+7               5 -559.05 1128.46 12.31   0.00
## 1                     2 -562.22 1128.50 12.36   0.00
## 2+8+10                4 -560.13 1128.50 12.36   0.00
## 1+2+4+9+10            6 -558.00 1128.52 12.38   0.00
## 2+3+4+9+10            6 -558.01 1128.54 12.40   0.00
## 1+4+7+8+10            6 -558.02 1128.56 12.41   0.00
## 1+2+3+8+9+10          7 -556.95 1128.60 12.45   0.00
## 2+4+9+10              5 -559.12 1128.61 12.46   0.00
## 1+2+7+8+9             6 -558.05 1128.62 12.48   0.00
## 1+2+3+4+9+10          7 -556.97 1128.64 12.49   0.00
## 2+3+7+10              5 -559.16 1128.69 12.54   0.00
## 1+4+7+10              5 -559.17 1128.70 12.55   0.00
## 1+2+4+5+7+9+10        8 -555.91 1128.71 12.56   0.00
## 1+2+3+7+8+9           7 -557.02 1128.73 12.58   0.00
## 3+8+9+10              5 -559.18 1128.73 12.59   0.00
## 1+2+3+7+8+10          7 -557.02 1128.73 12.59   0.00
## 1+4+5+6+7+9+10       17 -545.36 1128.74 12.59   0.00
## 1+2+3+7+9             6 -558.12 1128.75 12.60   0.00
## 1+3+4+5+6+7+8+9+10   19 -542.86 1128.78 12.64   0.00
## 1+2+3+4+5+6+7+9+10   19 -542.86 1128.80 12.65   0.00
## 3+4+7+8+10            6 -558.16 1128.83 12.68   0.00
## 1+2+3+4+7+10          7 -557.07 1128.83 12.68   0.00
## 2+4+5+9               5 -559.24 1128.85 12.71   0.00
## 2+4+5+7               5 -559.25 1128.87 12.73   0.00
## 1+2+4+5+7+9           7 -557.10 1128.89 12.75   0.00
## 3+7+10                4 -560.33 1128.89 12.75   0.00
## 1+2+7+8+10            6 -558.20 1128.91 12.77   0.00
## 1+3+7                 4 -560.34 1128.93 12.78   0.00
## 1+4+9                 4 -560.36 1128.95 12.81   0.00
## 2+4+8+10              5 -559.31 1128.99 12.85   0.00
## 1+2+4+5+6+8+9+10     18 -544.23 1128.99 12.85   0.00
## 2+4+5+6+7+8+9+10     18 -544.24 1129.00 12.85   0.00
## 2+3+4+7+10            6 -558.25 1129.01 12.86   0.00
## 1+4+6+7+9+10         16 -546.74 1129.04 12.89   0.00
## 4+7+10                4 -560.41 1129.07 12.92   0.00
## 1+2+4+5+6+7+8+10     18 -544.27 1129.08 12.93   0.00
## 1+3+5+7+9             6 -558.29 1129.10 12.95   0.00
## 1+4+7                 4 -560.43 1129.11 12.97   0.00
## 1+2+4+5+6+7+8+9      18 -544.31 1129.15 13.01   0.00
## 1+2+5+6+7+8+9+10     18 -544.31 1129.15 13.01   0.00
## 3+7+8+10              5 -559.40 1129.17 13.02   0.00
## 1+3+4+6+7+9+10       17 -545.57 1129.17 13.02   0.00
## 1+7+8+9+10            6 -558.35 1129.22 13.08   0.00
## 1+2+4+8+9+10          7 -557.31 1129.31 13.16   0.00
## 2+5                   3 -561.60 1129.35 13.20   0.00
## 1+3+9                 4 -560.57 1129.39 13.25   0.00
## 2+3+4+6+7+8+9+10     18 -544.44 1129.41 13.26   0.00
## 1+2+3+4+6+8+9+10     18 -544.44 1129.41 13.26   0.00
## 1+2+4+7+10            6 -558.45 1129.42 13.27   0.00
## 1+2+7+9               5 -559.53 1129.42 13.28   0.00
## 1+2+3+6+7+8+9+10     18 -544.46 1129.46 13.31   0.00
## 1+2+3+4+7+9           7 -557.39 1129.46 13.32   0.00
## 2+8+9+10              5 -559.55 1129.46 13.32   0.00
## 1+2+3+4+6+7+8+9      18 -544.47 1129.48 13.33   0.00
## 4+7+8+10              5 -559.57 1129.50 13.35   0.00
## 2+7+10                4 -560.65 1129.54 13.39   0.00
## 7+10                  3 -561.70 1129.54 13.40   0.00
## 1+7+9+10              5 -559.60 1129.57 13.42   0.00
## 1+2+7+9+10            6 -558.53 1129.58 13.43   0.00
## 1+2+3+4+6+7+8+10     18 -544.53 1129.59 13.44   0.00
## 1+2+3+4+8+9+10        8 -556.36 1129.61 13.46   0.00
## 7+8+10                4 -560.68 1129.61 13.46   0.00
## 2+3+8+9+10            6 -558.55 1129.61 13.47   0.00
## 1+2+4+7+8+9           7 -557.48 1129.64 13.50   0.00
## 4+7+9+10              5 -559.65 1129.67 13.52   0.00
## 1+2+4+5+6+7+9+10     18 -544.58 1129.70 13.55   0.00
## 1+2+4+6+8+9+10       17 -545.84 1129.70 13.56   0.00
## 1+2+3+4+7+8+9         8 -556.41 1129.71 13.56   0.00
## 1+2+4+6+7+8+10       17 -545.84 1129.71 13.57   0.00
## 1+2+6+7+8+9+10       17 -545.85 1129.73 13.58   0.00
## 2+4+6+7+8+9+10       17 -545.86 1129.74 13.59   0.00
## 1+4+7+9+10            6 -558.62 1129.75 13.60   0.00
## 3+4+7+9+10            6 -558.62 1129.76 13.61   0.00
## 1+5+7                 4 -560.77 1129.78 13.63   0.00
## 1+3+7+8+9+10          7 -557.55 1129.79 13.64   0.00
## 1+2+3+7+9+10          7 -557.55 1129.79 13.64   0.00
## 1+2+3+4+7+8+10        8 -556.46 1129.82 13.68   0.00
## 1+2+4+6+7+8+9        17 -545.91 1129.84 13.69   0.00
## 1+4+7+8+9+10          7 -557.58 1129.84 13.70   0.00
## 2+4+8+9+10            6 -558.67 1129.86 13.71   0.00
## 2+3+4+8+9+10          7 -557.62 1129.93 13.79   0.00
## 1+3+4+7+9             6 -558.71 1129.94 13.79   0.00
## 1+3+7+9+10            6 -558.73 1129.98 13.83   0.00
## 2+3+7+8+10            6 -558.73 1129.98 13.84   0.00
## 2+4+7+10              5 -559.82 1130.01 13.86   0.00
## 1+3+4+7+9+10          7 -557.66 1130.01 13.87   0.00
## 1+4+5+6+7+8+9+10     18 -544.75 1130.02 13.88   0.00
## 1+7                   3 -561.96 1130.06 13.92   0.00
## 1+5+9                 4 -560.92 1130.08 13.93   0.00
## 1+2+3+4+6+7+9+10     18 -544.79 1130.11 13.97   0.00
## 1+4+5+7+9             6 -558.80 1130.12 13.97   0.00
## 1+2+4+7+8+10          7 -557.72 1130.14 13.99   0.00
## 1+2+4+6+7+9+10       17 -546.06 1130.14 14.00   0.00
## 1+2+4+7+9             6 -558.82 1130.16 14.02   0.00
## 1+2+3+4+5+6+7+8+9+10 20 -542.27 1130.19 14.04   0.00
## 7+9+10                4 -561.00 1130.25 14.10   0.00
## 1+3+4+7+8+9+10        8 -556.69 1130.27 14.12   0.00
## 4+7+8+9+10            6 -558.89 1130.30 14.16   0.00
## 2+3+4+7+8+10          7 -557.83 1130.35 14.20   0.00
## 1+2+7+8+9+10          7 -557.84 1130.37 14.22   0.00
## 1+9                   3 -562.12 1130.38 14.23   0.00
## 2+7+9+10              5 -560.01 1130.39 14.25   0.00
## 2+3+7+9+10            6 -558.96 1130.43 14.28   0.00
## 1+3+4+6+7+8+9+10     18 -544.97 1130.48 14.33   0.00
## 3+7+9+10              5 -560.07 1130.50 14.35   0.00
## 7+8+9+10              5 -560.07 1130.52 14.37   0.00
## 3+4+7+8+9+10          7 -557.91 1130.52 14.37   0.00
## 3+4+8                 4 -561.18 1130.61 14.47   0.00
## 2+7+8+10              5 -560.13 1130.63 14.48   0.00
## 1+2+4+7+9+10          7 -557.97 1130.63 14.48   0.00
## 1+4+6+7+8+9+10       17 -546.33 1130.68 14.53   0.00
## 2+3+4+7+9+10          7 -558.01 1130.72 14.57   0.00
## 2+4+7+9+10            6 -559.12 1130.76 14.61   0.00
## 1+2+3+7+8+9+10        8 -556.93 1130.76 14.61   0.00
## 1+2+3+4+7+9+10        8 -556.93 1130.76 14.62   0.00
## 1+4+7+9               5 -560.25 1130.86 14.72   0.00
## 3+7+8+9+10            6 -559.18 1130.88 14.73   0.00
## 2+4+5+7+9             6 -559.21 1130.94 14.80   0.00
## 1+3+7+9               5 -560.34 1131.05 14.90   0.00
## 2+4+7+8+10            6 -559.31 1131.13 14.98   0.00
## 2+3+4+8               5 -560.42 1131.21 15.07   0.00
## 2+5+7                 4 -561.58 1131.40 15.25   0.00
## 2+5+9                 4 -561.60 1131.44 15.29   0.00
## 1+2+4+7+8+9+10        8 -557.30 1131.50 15.36   0.00
## 1+2+4+5+6+7+8+9+10   19 -544.22 1131.52 15.37   0.00
## 2+7+8+9+10            6 -559.55 1131.61 15.46   0.00
## 4+5                   3 -562.76 1131.66 15.51   0.00
## 2+3+7+8+9+10          7 -558.55 1131.79 15.64   0.00
## 1+5+7+9               5 -560.72 1131.80 15.65   0.00
## 1+2+3+4+7+8+9+10      9 -556.35 1131.83 15.68   0.00
## 1+2+3+4+6+7+8+9+10   19 -544.44 1131.95 15.80   0.00
## 1+7+9                 4 -561.87 1131.99 15.85   0.00
## 2+4+7+8+9+10          7 -558.66 1132.01 15.86   0.00
## 3+5                   3 -562.95 1132.04 15.89   0.00
## 2+3+4+7+8+9+10        8 -557.61 1132.12 15.97   0.00
## 1+2+4+6+7+8+9+10     18 -545.84 1132.20 16.06   0.00
## 3+4+7+8               5 -560.94 1132.24 16.09   0.00
## 3+5+9                 4 -562.19 1132.62 16.47   0.00
## 3+4+8+9               5 -561.18 1132.72 16.57   0.00
## 2+3+4+7+8             6 -560.20 1132.91 16.76   0.00
## 2+3+4+8+9             6 -560.42 1133.35 17.20   0.00
## 2+5+7+9               5 -561.58 1133.52 17.37   0.00
## 4+5+7                 4 -562.74 1133.72 17.58   0.00
## 4+5+9                 4 -562.76 1133.75 17.61   0.00
## 2+3+8                 4 -562.87 1133.98 17.84   0.00
## 4+8                   3 -563.93 1134.00 17.86   0.00
## 3+5+7                 4 -562.95 1134.13 17.99   0.00
## 3+4+7+8+9             6 -560.94 1134.39 18.24   0.00
## 2+4+8                 4 -563.20 1134.65 18.50   0.00
## 3+5+7+9               5 -562.17 1134.71 18.57   0.00
## 2+3+4+7+8+9           7 -560.20 1135.08 18.94   0.00
## 4+7+8                 4 -563.55 1135.35 19.20   0.00
## 2+3+7+8               5 -562.59 1135.55 19.40   0.00
## 4+5+7+9               5 -562.74 1135.84 19.69   0.00
## 2+3+8+9               5 -562.78 1135.92 19.77   0.00
## 4+8+9                 4 -563.86 1135.96 19.81   0.00
## 3+8                   3 -564.95 1136.04 19.89   0.00
## 2+4+7+8               5 -562.85 1136.07 19.92   0.00
## 2+3+4                 4 -563.98 1136.21 20.06   0.00
## 2+4+8+9               5 -563.13 1136.62 20.47   0.00
## 4+7+8+9               5 -563.44 1137.25 21.10   0.00
## 3+7+8                 4 -564.61 1137.47 21.32   0.00
## 2+3+7+8+9             6 -562.53 1137.58 21.44   0.00
## 3+8+9                 4 -564.80 1137.84 21.69   0.00
## 2+8                   3 -565.90 1137.95 21.81   0.00
## 2+3+4+9               5 -563.80 1137.97 21.83   0.00
## 2+4+7+8+9             6 -562.73 1137.98 21.83   0.00
## 2+3+4+7               5 -563.83 1138.02 21.87   0.00
## 2+7+8                 4 -565.48 1139.20 23.06   0.00
## 3+7+8+9               5 -564.51 1139.39 23.25   0.00
## 2+3+4+7+9             6 -563.68 1139.88 23.73   0.00
## 2+8+9                 4 -565.90 1140.04 23.90   0.00
## 8                     2 -568.00 1140.07 23.92   0.00
## 7+8                   3 -567.50 1141.15 25.01   0.00
## 2+7+8+9               5 -565.46 1141.29 25.14   0.00
## 8+9                   3 -568.00 1142.14 25.99   0.00
## 7+8+9                 4 -567.50 1143.24 27.10   0.00
## 2+3                   3 -568.56 1143.26 27.12   0.00
## 3+4                   3 -568.61 1143.36 27.22   0.00
## 2+4                   3 -568.84 1143.83 27.68   0.00
## 2+3+9                 4 -567.86 1143.97 27.82   0.00
## 3+4+9                 4 -568.17 1144.58 28.43   0.00
## 2+3+7                 4 -568.36 1144.97 28.82   0.00
## 3+4+7                 4 -568.44 1145.13 28.98   0.00
## 2+4+7                 4 -568.55 1145.35 29.20   0.00
## 5                     2 -570.66 1145.39 29.24   0.00
## 2+3+7+9               5 -567.74 1145.84 29.70   0.00
## 2+4+9                 4 -568.84 1145.92 29.78   0.00
## 3+4+7+9               5 -568.06 1146.48 30.34   0.00
## 5+9                   3 -570.34 1146.83 30.69   0.00
## 5+7                   3 -570.65 1147.44 31.30   0.00
## 2+4+7+9               5 -568.55 1147.47 31.33   0.00
## 5+7+9                 4 -570.34 1148.93 32.78   0.00
## 2                     2 -574.68 1153.44 37.29   0.00
## 4                     2 -575.12 1154.31 38.17   0.00
## 2+7                   3 -574.32 1154.78 38.63   0.00
## 2+9                   3 -574.48 1155.11 38.96   0.00
## 4+7                   3 -574.80 1155.74 39.59   0.00
## 4+9                   3 -575.06 1156.26 40.12   0.00
## 2+7+9                 4 -574.17 1156.58 40.43   0.00
## 4+7+9                 4 -574.76 1157.76 41.62   0.00
## 3+9                   3 -581.05 1168.25 52.10   0.00
## 3+7+9                 4 -580.95 1170.14 54.00   0.00
## 3                     2 -584.30 1172.68 56.53   0.00
## 3+7                   3 -584.03 1174.21 58.07   0.00
## 9                     2 -595.40 1194.87 78.73   0.00
## 7+9                   3 -595.02 1196.18 80.03   0.00
## (Null)                1 -597.63 1197.29 81.14   0.00
## 7                     2 -597.04 1198.15 82.01   0.00
## 
## Term codes: 
##      Canopy     CWD_AGB        Duff     FWD_AGB  Litter_AGB  LU_FT_Code 
##           1           2           3           4           5           6 
##     MF_FCCP PrimFor_500    SoilDens       Trees 
##           7           8           9          10 
## 
## Model-averaged coefficients:  
## (full average) 
##                      Estimate Std. Error Adjusted SE z value Pr(>|z|)    
## (Intercept)         3.4320272  0.1591203   0.1602430  21.418   <2e-16 ***
## Duff                0.0144140  0.0141597   0.0142060   1.015    0.310    
## FWD_AGB             0.0018147  0.0040311   0.0040472   0.448    0.654    
## Litter_AGB          0.0243333  0.0189551   0.0190072   1.280    0.200    
## PrimFor_500         0.0006019  0.0007257   0.0007277   0.827    0.408    
## CWD_AGB             0.0002946  0.0005265   0.0005285   0.557    0.577    
## LU_FT_CodeMA       -0.0013133  0.1512660   0.1523855   0.009    0.993    
## LU_FT_CodePA        0.0635148  0.1543328   0.1553546   0.409    0.683    
## LU_FT_CodePFlog     0.1166728  0.1736924   0.1745915   0.668    0.504    
## LU_FT_CodePFlogbur  0.1522615  0.1891404   0.1899364   0.802    0.423    
## LU_FT_CodePFund     0.1659877  0.2038392   0.2046599   0.811    0.417    
## LU_FT_CodeREF       0.0612725  0.1520268   0.1530604   0.400    0.689    
## LU_FT_CodeSFinter   0.1531857  0.1894235   0.1902264   0.805    0.421    
## LU_FT_CodeSFold     0.0608570  0.1560067   0.1570857   0.387    0.698    
## LU_FT_CodeSFyoung   0.0628221  0.1729060   0.1741164   0.361    0.718    
## LU_FT_CodeSHA       0.2810634  0.2965756   0.2974175   0.945    0.345    
## Trees               0.0001394  0.0004511   0.0004534   0.307    0.759    
## MF_FCCP             0.0007256  0.0382827   0.0385711   0.019    0.985    
## SoilDens           -0.0000321  0.0004119   0.0004144   0.077    0.938    
## Canopy              0.0075676  0.0577191   0.0580711   0.130    0.896    
##  
## (conditional average) 
##                      Estimate Std. Error Adjusted SE z value Pr(>|z|)    
## (Intercept)         3.4320272  0.1591204   0.1602430  21.418   <2e-16 ***
## Duff                0.0221392  0.0117014   0.0117873   1.878   0.0604 .  
## FWD_AGB             0.0050997  0.0053771   0.0054110   0.942   0.3460    
## Litter_AGB          0.0326128  0.0145440   0.0146348   2.228   0.0259 *  
## PrimFor_500         0.0010869  0.0006509   0.0006551   1.659   0.0971 .  
## CWD_AGB             0.0007311  0.0006072   0.0006115   1.196   0.2319    
## LU_FT_CodeMA       -0.0022278  0.1970062   0.1984643   0.011   0.9910    
## LU_FT_CodePA        0.1077395  0.1887817   0.1901980   0.566   0.5711    
## LU_FT_CodePFlog     0.1979107  0.1873435   0.1887558   1.049   0.2944    
## LU_FT_CodePFlogbur  0.2582795  0.1824853   0.1838825   1.405   0.1601    
## LU_FT_CodePFund     0.2815631  0.1947812   0.1962357   1.435   0.1513    
## LU_FT_CodeREF       0.1039358  0.1864689   0.1878978   0.553   0.5802    
## LU_FT_CodeSFinter   0.2598473  0.1820695   0.1834839   1.416   0.1567    
## LU_FT_CodeSFold     0.1032311  0.1921201   0.1936057   0.533   0.5939    
## LU_FT_CodeSFyoung   0.1065645  0.2145966   0.2162504   0.493   0.6222    
## LU_FT_CodeSHA       0.4767649  0.2364257   0.2382128   2.001   0.0453 *  
## Trees               0.0004673  0.0007273   0.0007321   0.638   0.5233    
## MF_FCCP             0.0029965  0.0777536   0.0783400   0.038   0.9695    
## SoilDens           -0.0001233  0.0008002   0.0008053   0.153   0.8783    
## Canopy              0.0283403  0.1090303   0.1097280   0.258   0.7962    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
confset.95p <- get.models(selec, cumsum(weight) <= .95)
avgmod.95p <- model.avg(confset.95p)
avgmod.95p$coefficients
##        (Intercept)       Duff     FWD_AGB Litter_AGB  PrimFor_500      CWD_AGB
## full      3.430584 0.01465205 0.001780807 0.02499268 0.0006127082 0.0002887040
## subset    3.430584 0.02219668 0.005191741 0.03270330 0.0011005938 0.0007304337
##         LU_FT_CodeMA LU_FT_CodePA LU_FT_CodePFlog LU_FT_CodePFlogbur
## full   -0.0008568164   0.06415575       0.1182567          0.1537818
## subset -0.0014469374   0.10834218       0.1997044          0.2596970
##        LU_FT_CodePFund LU_FT_CodeREF LU_FT_CodeSFinter LU_FT_CodeSFold
## full         0.1677946    0.06168069         0.1541881      0.06138779
## subset       0.2833610    0.10416246         0.2603831      0.10366782
##        LU_FT_CodeSFyoung LU_FT_CodeSHA        Trees      MF_FCCP      SoilDens
## full          0.06349272     0.2829572 0.0001270356 0.0008858057 -3.280297e-05
## subset        0.10722249     0.4778403 0.0004504761 0.0039389910 -1.350626e-04
##             Canopy
## full   0.005651748
## subset 0.023120115
confint(avgmod.95p)
##                            2.5 %      97.5 %
## (Intercept)         3.1175357125 3.743631734
## Duff               -0.0008585784 0.045251942
## FWD_AGB            -0.0053282389 0.015711721
## Litter_AGB          0.0040560111 0.061350580
## PrimFor_500        -0.0001727379 0.002373926
## CWD_AGB            -0.0004671555 0.001928023
## LU_FT_CodeMA       -0.3897889356 0.386895061
## LU_FT_CodePA       -0.2636954849 0.480379846
## LU_FT_CodePFlog    -0.1693283879 0.568737224
## LU_FT_CodePFlogbur -0.1000889250 0.619482945
## LU_FT_CodePFund    -0.1002431388 0.666965137
## LU_FT_CodeREF      -0.2639376391 0.472262552
## LU_FT_CodeSFinter  -0.0990527090 0.619818809
## LU_FT_CodeSFold    -0.2755769562 0.482912598
## LU_FT_CodeSFyoung  -0.3164483323 0.530893320
## LU_FT_CodeSHA       0.0117367528 0.943943884
## Trees              -0.0009521465 0.001853099
## MF_FCCP            -0.1492247236 0.157102706
## SoilDens           -0.0017033059 0.001433181
## Canopy             -0.1840157623 0.230255992

De forma geral, esse é o básico de como se executa uma seleção de modelos.