Gene expression changes contribute to complex trait variations in both individuals and populations. However, how gene expression influences changes of complex traits over macroevolutionary timescales remains poorly understood. Snake venoms are proteinaceous cocktails where the expression of each toxin can be quantified and mapped to a distinct genomic locus and traced for millions of years. Using a phylogenetic generalized linear mixed model, we analysed expression data of toxin genes from 52 snake species spanning the three venomous snake families, and estimated phylogenetic covariance, which acts as a measure of evolutionary constraint. We find that evolution of toxin combinations is not constrained. However, while all combinations are in principle possible, the actual dimensionality of phylomorphic space is low, with envenomation strategies focused around only four major toxins: metalloproteases, three-finger toxins, serine proteases, and phospholipases A2. While most extant snakes prioritize either a single or a combination of major toxins, they are repeatedly recruited and lost. We find that over macroevolutionary timescales the venom phenotypes were not shaped by phylogenetic constraints, which include important microevolutionary constraints such as epistasis and pleiotropy, but more likely by ecological filtering that permits a few optimal solutions. As a result, phenotypic optima were repeatedly attained by distantly related species. These results indicate that venoms evolve by selection on biochemistry of prey envenomation, which permit diversity though parallelism and impose strong limits, since only a few of the theoretically possible strategies seem to work well and are observed in extant snakes.
library(phytools) #for ASR
library(MCMCglmm) # Estimating PCOV
library(ggplot2) # plotting
library(reshape2) # data formatting
library(ggrepel) # plotting
library(scatterpie) # pie charts on PCA
library(factoextra) # data formatting
library(surface) #Convergence analysis
library(knitr) #rmd
library(kableExtra) #rmd
library(ade4)# Mantel test
options(knitr.table.format = "html")
#Tree
snphylo = read.nexus("/Users/agneesh-barua/Dropbox (OIST)/R Training/VC_project/Final_tree.nex")
is.ultrametric(snphylo)
## [1] TRUE
#data
phydata = read.csv("/Users/agneesh-barua/Dropbox (OIST)/R Training/VC_project/Data csv/New data/StvNewdata.csv", header = TRUE)
row.names(phydata) <- phydata$species
Supplementary Table 1: Gene expression values and references| species | TFTx | BPP.CNP | CRISP | CTL | GF | KSPI | LAAO | PLA2 | SVMP | SVSP | Total | Family | Author | Tech | Ref |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Boiga_irregularis | 0.67475 | 0.01400 | 0.03835 | 0.02271 | 0.00025 | 0.00100 | 0.00000 | 0.00040 | 0.24854 | 0.00000 | 1.00000 | Colubridae | McGivern et al. (2014) | Illumina | https://doi.org/10.1186/1471-2164-15-1061 |
| Dispholidus_typus | 0.06200 | 0.00000 | 0.05400 | 0.00400 | 0.00100 | 0.00150 | 0.00000 | 0.07600 | 0.74640 | 0.05500 | 0.99990 | Colubridae | Pla et al. (2017) | Illumina | https://doi.org/10.1016/j.bbagen.2017.01.020 |
| Hypsiglena_torquata | 0.00070 | 0.07359 | 0.16684 | 0.06176 | 0.00012 | 0.00056 | 0.00000 | 0.00000 | 0.68666 | 0.00000 | 0.99023 | Colubridae | McGivern et al. (2014) | Illumina | https://doi.org/10.1186/1471-2164-15-1061 |
| Opheodrys_aestivus | 0.13300 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.03600 | 0.00000 | 0.00000 | 0.16900 | Colubridae | Hargreaves et al. (2014) | Illumina | https://doi.org/10.1016/j.toxicon.2014.10.004 |
| Pantherophis_guttatus | 0.01000 | 0.00000 | 0.02200 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.12900 | 0.00000 | 0.00000 | 0.16100 | Colubridae | Hargreaves et al. (2014) | Illumina | https://doi.org/10.1016/j.toxicon.2014.10.004 |
| Phalotris_mertensi | 0.01800 | 0.00140 | 0.00330 | 0.21600 | 0.00040 | 0.43900 | 0.02300 | 0.00000 | 0.22040 | 0.00220 | 0.92370 | Colubridae | Campos et al. (2016) | ABI 3100 | https://doi.org/10.1093/gbe/evw149 |
| Philodryas_olfersii | 0.00000 | 0.22400 | 0.10400 | 0.05800 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.52400 | 0.08900 | 0.99900 | Colubridae | Ching et al. (2006) | ABI 3100 | https://doi.org/10.1016/j.febslet.2006.07.010 |
| Thamnodynastes_strigatus | 0.00200 | 0.00000 | 0.01900 | 0.05400 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.84400 | 0.00700 | 0.92600 | Colubridae | Ching et al. (2011) | ABI 3100 | https://dx.doi.org/10.1021/pr200876c |
| Bungarus_flaviceps | 0.39290 | 0.00000 | 0.00440 | 0.00440 | 0.00000 | 0.24060 | 0.00000 | 0.35320 | 0.00000 | 0.00000 | 0.99550 | Elapidae | Siang et al. (2010) | ABI PRISM | https://dx.doi.org/10.1186/1471-2199-11-24 |
| Bungarus_multicinctus | 0.64700 | 0.00000 | 0.00700 | 0.03800 | 0.00200 | 0.10600 | 0.00100 | 0.17400 | 0.00000 | 0.00100 | 0.97600 | Elapidae | Jiang et al. (2011) | ABI 3100 | https://doi.org/10.1186/1471-2164-12-1 |
| Drysdalia_coronoides | 0.86000 | 0.00000 | 0.02800 | 0.00000 | 0.01400 | 0.00000 | 0.00000 | 0.00240 | 0.00000 | 0.09200 | 0.99640 | Elapidae | Chatrath et al. (2011) | ABI PRISM | https://dx.doi.org/10.1021/pr1008916 |
| Micrurus_altirostris | 0.86400 | 0.00000 | 0.00000 | 0.01300 | 0.00000 | 0.03800 | 0.00000 | 0.04900 | 0.00600 | 0.00000 | 0.97000 | Elapidae | Correa-Netto et al. (2011) | ABI 3100 | https://doi.org/10.1016/j.jprot.2011.04.003 |
| Micrurus_corallinus | 0.20300 | 0.29530 | 0.00000 | 0.06700 | 0.01830 | 0.00150 | 0.00840 | 0.37680 | 0.02100 | 0.00100 | 0.99230 | Elapidae | Aird et al. (2017) | Illumina | https://dx.doi.org/10.3390/toxins9060187 |
| Micrurus_fulvius | 0.25160 | 0.00000 | 0.00000 | 0.00799 | 0.01600 | 0.02154 | 0.00880 | 0.64947 | 0.02947 | 0.00000 | 0.98487 | Elapidae | Margres et al. (2013) | Illumina | https://doi.org/10.1186/1471-2164-14-531 |
| Micrurus_lemniscatus | 0.67220 | 0.00200 | 0.00240 | 0.00480 | 0.01420 | 0.07150 | 0.00730 | 0.17200 | 0.01120 | 0.00100 | 0.95860 | Elapidae | Aird et al. (2017) | Illumina | https://dx.doi.org/10.3390/toxins9060187 |
| Micrurus_spixii | 0.62640 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.36390 | 0.00000 | 0.00000 | 0.99030 | Elapidae | Aird et al. (2017) | Illumina | https://dx.doi.org/10.3390/toxins9060187 |
| Micrurus_surinamensis | 0.60240 | 0.02670 | 0.00000 | 0.00340 | 0.07880 | 0.01070 | 0.00000 | 0.26230 | 0.00140 | 0.00000 | 0.98570 | Elapidae | Aird et al. (2017) | Illumina | https://dx.doi.org/10.3390/toxins9060187 |
| Naja_atra | 0.95800 | 0.00000 | 0.00700 | 0.00600 | 0.00100 | 0.00100 | 0.00100 | 0.01200 | 0.00400 | 0.00000 | 0.99000 | Elapidae | Jiang et al. (2011) | ABI 3100 | https://doi.org/10.1186/1471-2164-12-1 |
| Naja_kaouthia | 0.82000 | 0.00000 | 0.00000 | 0.00500 | 0.00300 | 0.00100 | 0.00200 | 0.13600 | 0.01100 | 0.00000 | 0.97800 | Elapidae | Xu et al. (2017) | Illumina | https://doi.org/10.1016/j.jprot.2017.02.018 |
| Ophiophagus_hannah | 0.43000 | 0.00000 | 0.08700 | 0.00000 | 0.00800 | 0.01000 | 0.05700 | 0.04000 | 0.24400 | 0.00700 | 0.88300 | Elapidae | Tan et al. (2015) | Illumina | https://dx.doi.org/10.1186/s12864-015-1828-2 |
| Pseudonaja_textilis | 0.10633 | 0.00000 | 0.03846 | 0.00000 | 0.00452 | 0.01810 | 0.00000 | 0.18778 | 0.00000 | 0.42534 | 0.78053 | Elapidae | Reeks et al. (2016) | Roche GS FLX | https://doi.org/10.1016/j.jprot.2015.11.019 |
| Agkistrodon_piscivorus | 0.00000 | 0.04570 | 0.00000 | 0.06080 | 0.00000 | 0.00000 | 0.00000 | 0.38960 | 0.34900 | 0.08300 | 0.92810 | Viperidae | Aronow (2018) | Illumina | https://search.proquest.com/openview/2997dede40d17e51e7dabfd03d9762df/1?pq-origsite=gscholar&cbl=18750&diss=y |
| Atropoides_picadoi | 0.00400 | 0.16400 | 0.02600 | 0.04800 | 0.00600 | 0.00010 | 0.03100 | 0.02300 | 0.56100 | 0.10900 | 0.97210 | Viperidae | Durban et al. (2011) | Roche GS FLX | https://doi.org/10.1186/1471-2164-12-259 |
| Bothriechis_lateralis | 0.01600 | 0.23600 | 0.03200 | 0.03100 | 0.01800 | 0.00020 | 0.03400 | 0.03000 | 0.44900 | 0.10400 | 0.95020 | Viperidae | Durban et al. (2011) | Roche GS FLX | https://doi.org/10.1186/1471-2164-12-259 |
| Bothriechis_schlegelii | 0.03600 | 0.15300 | 0.03600 | 0.00200 | 0.04900 | 0.00120 | 0.03200 | 0.09200 | 0.26300 | 0.20500 | 0.86920 | Viperidae | Durban et al. (2011) | Roche GS FLX | https://doi.org/10.1186/1471-2164-12-259 |
| Bothrops_alternatus | 0.00000 | 0.11800 | 0.02200 | 0.16500 | 0.02500 | 0.00000 | 0.01800 | 0.01400 | 0.58500 | 0.05100 | 0.99800 | Viperidae | Pereira de Paula et al. (2014) | MegaBACE (GE) | https://doi.org/10.1016/j.cbd.2014.09.001 |
| Bothrops_asper | 0.00800 | 0.15000 | 0.00800 | 0.01000 | 0.00000 | 0.00030 | 0.04200 | 0.17800 | 0.41600 | 0.13400 | 0.94630 | Viperidae | Durban et al. (2011) | Roche GS FLX | https://doi.org/10.1186/1471-2164-12-259 |
| Bothrops_atrox | 0.00000 | 0.07100 | 0.00500 | 0.04800 | 0.01000 | 0.00000 | 0.01400 | 0.14600 | 0.61600 | 0.08200 | 0.99200 | Viperidae | Neiva et al. (2009) | MegaBACE (GE) | https://doi.org/10.1016/j.toxicon.2009.01.006 |
| Bothrops_colombiensis | 0.00000 | 0.01000 | 0.02000 | 0.04000 | 0.02000 | 0.00000 | 0.02000 | 0.30000 | 0.37000 | 0.12000 | 0.90000 | Viperidae | Suntravat et al. (2016) | ABI 3730 | https://doi.org/10.1186/s12867-016-0059-7 |
| Bothrops_insularis | 0.00000 | 0.15800 | 0.01500 | 0.14200 | 0.05100 | 0.00000 | 0.03500 | 0.05400 | 0.43200 | 0.11200 | 0.99900 | Viperidae | Valente et al. (2009) | ABI 3100 | https://doi.org/10.1016/j.jprot.2009.01.001 |
| Bothrops_jararaca | 0.00000 | 0.04250 | 0.00400 | 0.13650 | 0.02900 | 0.00200 | 0.04050 | 0.03600 | 0.43600 | 0.26100 | 0.98750 | Viperidae | Goncalves-Machado et al. (2016) | Roche GS FLX | https://doi.org/10.1016/j.jprot.2015.04.029 |
| Bothrops_jararacussu | 0.00000 | 0.01695 | 0.03390 | 0.08475 | 0.00000 | 0.00000 | 0.01695 | 0.56290 | 0.25820 | 0.01695 | 0.99060 | Viperidae | Kashima et al. (2004) | ABI 3100 | https://doi.org/10.1016/j.biochi.2004.02.002 |
| Bothrops_moojeni | 0.00060 | 0.00950 | 0.00570 | 0.02670 | 0.00000 | 0.00440 | 0.01270 | 0.09020 | 0.46630 | 0.26180 | 0.87790 | Viperidae | Amorim et al. (2017) | Illumina | https://doi.org/10.1016/j.toxicon.2017.10.025 |
| Bothrops_neuwiedi | 0.00000 | 0.17400 | 0.00700 | 0.08600 | 0.00360 | 0.00000 | 0.02900 | 0.26400 | 0.36000 | 0.05300 | 0.97660 | Viperidae | Rodigues et al. (2012) | MegaBACE (GE) | https://doi.org/10.1016/j.jprot.2012.03.028 |
| Cerrophidion_godmani | 0.00600 | 0.08300 | 0.02600 | 0.00200 | 0.00600 | 0.00000 | 0.05500 | 0.07900 | 0.42200 | 0.28100 | 0.96000 | Viperidae | Durban et al. (2011) | Roche GS FLX | https://doi.org/10.1186/1471-2164-12-259 |
| Crotalus_adamanteus | 0.00000 | 0.00726 | 0.01317 | 0.22155 | 0.00023 | 0.00054 | 0.05309 | 0.07810 | 0.24410 | 0.19979 | 0.81783 | Viperidae | Rokyta et al. (2012) | Illumina | https://doi.org/10.1186/1471-2164-13-312 |
| Crotalus_durissus | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.04000 | 0.00000 | 0.00000 | 0.88000 | 0.03000 | 0.02500 | 0.97500 | Viperidae | Boldrini-Franca et al. (2009) | MegaBACE (GE) | https://doi.org/10.1016/j.biochi.2009.02.001 |
| Crotalus_horridus | 0.00000 | 0.12519 | 0.00775 | 0.00213 | 0.02285 | 0.00119 | 0.01106 | 0.22772 | 0.00111 | 0.58229 | 0.98129 | Viperidae | Rokyta et al. (2013) | Illumina | https://doi.org/10.1186/1471-2164-14-394 |
| Crotalus_simus | 0.12700 | 0.13400 | 0.00000 | 0.02400 | 0.00000 | 0.00150 | 0.03800 | 0.12100 | 0.06500 | 0.28100 | 0.79150 | Viperidae | Durban et al. (2011) | Roche GS FLX | https://doi.org/10.1186/1471-2164-12-259 |
| Crotalus_scutulatus | 0.00000 | 0.20121 | 0.00481 | 0.16943 | 0.02000 | 0.00021 | 0.00925 | 0.18171 | 0.14363 | 0.11692 | 0.84717 | Viperidae | Strickland et al. (2018) | Illumina | https://dx.doi.org/10.3390/toxins10040135 |
| Gloydius_intermedius | 0.00000 | 0.04900 | 0.04900 | 0.04900 | 0.14600 | 0.00000 | 0.02400 | 0.12200 | 0.17000 | 0.22000 | 0.82900 | Viperidae | Yang et al. (2015) | MegaBACE (GE) | https://doi.org/10.1016/j.toxicon.2015.08.010 |
| Lachesis_muta | 0.01600 | 0.73200 | 0.00000 | 0.05800 | 0.00300 | 0.00000 | 0.03700 | 0.04700 | 0.05900 | 0.03500 | 0.98700 | Viperidae | Lnacio et al. (2007) | ABI 3100 | https://doi.org/10.1534/genetics.106.056515 |
| Ovophis_okinavensis | 0.00000 | 0.00000 | 0.00000 | 0.00579 | 0.00008 | 0.00000 | 0.00623 | 0.00647 | 0.04220 | 0.86176 | 0.92253 | Viperidae | Aird et al. (2013) | Illumina | https://doi.org/10.1186/1471-2164-14-790 |
| Protobothrops_elegans | 0.00000 | 0.01400 | 0.00001 | 0.00200 | 0.00600 | 0.00000 | 0.00500 | 0.77100 | 0.08100 | 0.10400 | 0.98301 | Viperidae | Aird et al. (2015) | Illumina | https://doi.org/10.1186/s12864-015-1832-6 |
| Protobothrops_mucrosquamatus | 0.00000 | 0.00000 | 0.01018 | 0.01018 | 0.00647 | 0.00000 | 0.01200 | 0.25746 | 0.39966 | 0.28076 | 0.97671 | Viperidae | Aird et al. (2017) | Illumina | https://doi.org/10.1093/gbe/evx199 |
| Protobothrops_flavoviridis | 0.00000 | 0.00000 | 0.03854 | 0.15356 | 0.00960 | 0.00000 | 0.09071 | 0.32136 | 0.26975 | 0.11054 | 0.99406 | Viperidae | Aird et al. (2013) | Illumina | https://doi.org/10.1186/1471-2164-14-790 |
| Sistrurus_catenatus | 0.00830 | 0.00280 | 0.06670 | 0.01390 | 0.06670 | 0.00000 | 0.03610 | 0.28060 | 0.12220 | 0.37500 | 0.97230 | Viperidae | Pahari et al. (2007) | ABI 3100 | https://doi.org/10.1186/1471-2199-8-115 |
| Bitis_gabonica | 0.00000 | 0.01813 | 0.00000 | 0.07591 | 0.03626 | 0.09064 | 0.05665 | 0.05665 | 0.37729 | 0.14729 | 0.85882 | Viperidae | Francischetti et al. (2004) | Beckman Coulter | https://doi.org/10.1016/j.gene.2004.03.024 |
| Echis_carinatus | 0.00000 | 0.00000 | 0.01934 | 0.17602 | 0.00580 | 0.00193 | 0.01161 | 0.08317 | 0.64603 | 0.04836 | 0.99226 | Viperidae | Casewell et al. (2009) | ABI 3730 | https://doi.org/10.1186/1471-2164-10-564 |
| Echis_coloratus | 0.00000 | 0.00000 | 0.05426 | 0.10543 | 0.00620 | 0.00000 | 0.04031 | 0.05426 | 0.68527 | 0.04496 | 0.99069 | Viperidae | Casewell et al. (2009) | ABI 3730 | https://doi.org/10.1186/1471-2164-10-564 |
| Echis_ocellatus | 0.00000 | 0.00000 | 0.00297 | 0.10979 | 0.02671 | 0.00193 | 0.01187 | 0.08605 | 0.73591 | 0.02374 | 0.99897 | Viperidae | Casewell et al. (2009) | ABI 3730 | https://doi.org/10.1186/1471-2164-10-564 |
| Echis_pyramidum | 0.00000 | 0.00000 | 0.00000 | 0.24011 | 0.00582 | 0.00000 | 0.02639 | 0.20580 | 0.50000 | 0.01979 | 0.99791 | Viperidae | Casewell et al. (2009) | ABI 3730 | https://doi.org/10.1186/1471-2164-10-564 |
#normalize libraries
phydata.norm <- phydata
phydata.norm[,2:11] <- t(scale(t(phydata.norm[,2:11])))
phydata.norm$Sum.of.10<-NULL
phydata.norm$Others<-NULL
phydata.norm$Family <-NULL
phydata.norm$Total<-NULL
phydata.norm$Author<-NULL
phydata.norm$Ref<-NULL
The goal of the generalised linear mixed model is to model the effect of phylogeny on the 10 components of snake venom. All 10 snake venom toxins were normalized and passed as multi-response vectors by forming a matrix using the cbind function in R. trait was used to fit different response values, allowing them to have different means. The random effects were added as us(traits):species which allows us to obtain covariance across trait that are influenced by the effect of species(phylogeny), accounting for the covariance between two response variables. In our case where we have used phylogeny as the random effect, the vectors of random effects are associated with the inverse relationship matrix that we obtain via the inv.phylo command. The MCMC was run for a total of 20 million iterations, with burnin and thinning values of 1 million and 1,500 respectively.
inv.phylo = inverseA(snphylo, nodes = "TIPS", scale =TRUE)
priors1 <- list(G=list(G1=list(V=diag(10), nu=0.002)), R=list(V=diag(10), nu= 0.002)) # standard prior
ptm <- proc.time()
cov_model.1<-MCMCglmm(cbind(TFTx,BPP.CNP,CRISP,CTL,GF,KSPI,LAAO,PLA2,SVMP,SVSP) ~ trait:1,
random = ~us(trait):species,
rcov = ~us(trait):units,
family=rep("gaussian",10),
ginverse=list(species=inv.phylo$Ainv),
prior=priors1,
data=phydata.norm[,1:12],
nitt=20000000, burnin=1000000, thin=15, pr = TRUE) #20million, 1million burn-in
saveRDS(cov_model.1, "cov_model_OnSango_sprandom_Final.nosize.20mil.rds")
cov_model.1<-readRDS("/Users/agneesh-barua/Dropbox (OIST)/R Training/VC_project/GLMM/OnSango/Final/Post_Nov/cov_model_OnSango_sprandom_Final.nosize.20mil.rds")
summary(cov_model.1)
##
## Iterations = 1000001:19999001
## Thinning interval = 1500
## Sample size = 12667
##
## DIC: -1520.484
##
## G-structure: ~us(trait):species
##
## post.mean l-95% CI u-95% CI eff.samp
## traitTFTx:traitTFTx.species 1.3616377 0.784321 2.015956 12667
## traitBPP.CNP:traitTFTx.species -0.1703082 -0.472095 0.125337 12667
## traitCRISP:traitTFTx.species -0.0234210 -0.182938 0.119094 12667
## traitCTL:traitTFTx.species -0.1674153 -0.402719 0.061635 12111
## traitGF:traitTFTx.species 0.0150122 -0.143150 0.177099 12667
## traitKSPI:traitTFTx.species 0.0437850 -0.239427 0.333746 12667
## traitLAAO:traitTFTx.species 0.0120451 -0.116223 0.132538 12667
## traitPLA2:traitTFTx.species -0.0285271 -0.529122 0.450848 11539
## traitSVMP:traitTFTx.species -0.6454405 -1.418157 0.016823 12667
## traitSVSP:traitTFTx.species -0.3970668 -0.850871 0.031453 12667
## traitTFTx:traitBPP.CNP.species -0.1703082 -0.472095 0.125337 12667
## traitBPP.CNP:traitBPP.CNP.species 0.1910960 0.007720 0.484166 10578
## traitCRISP:traitBPP.CNP.species 0.0169957 -0.089133 0.119452 10086
## traitCTL:traitBPP.CNP.species -0.0037102 -0.194404 0.175578 10833
## traitGF:traitBPP.CNP.species 0.0126497 -0.087418 0.113557 12667
## traitKSPI:traitBPP.CNP.species -0.0532846 -0.316200 0.213663 10540
## traitLAAO:traitBPP.CNP.species 0.0003399 -0.080196 0.075905 11187
## traitPLA2:traitBPP.CNP.species 0.0585910 -0.338449 0.500656 8929
## traitSVMP:traitBPP.CNP.species -0.1574699 -0.836328 0.486297 8292
## traitSVSP:traitBPP.CNP.species 0.1053134 -0.288165 0.468378 9534
## traitTFTx:traitCRISP.species -0.0234210 -0.182938 0.119094 12667
## traitBPP.CNP:traitCRISP.species 0.0169957 -0.089133 0.119452 10086
## traitCRISP:traitCRISP.species 0.1268462 0.063443 0.198771 12667
## traitCTL:traitCRISP.species -0.0092549 -0.100461 0.080020 11259
## traitGF:traitCRISP.species 0.0667903 0.009978 0.129071 12667
## traitKSPI:traitCRISP.species -0.0009373 -0.096469 0.099488 12667
## traitLAAO:traitCRISP.species 0.0661010 0.022287 0.114568 12667
## traitPLA2:traitCRISP.species -0.1277201 -0.315651 0.030130 11720
## traitSVMP:traitCRISP.species -0.0537543 -0.284424 0.183855 11890
## traitSVSP:traitCRISP.species -0.0614364 -0.219417 0.088724 9758
## traitTFTx:traitCTL.species -0.1674153 -0.402719 0.061635 12111
## traitBPP.CNP:traitCTL.species -0.0037102 -0.194404 0.175578 10833
## traitCRISP:traitCTL.species -0.0092549 -0.100461 0.080020 11259
## traitCTL:traitCTL.species 0.1570965 0.011461 0.376445 10911
## traitGF:traitCTL.species 0.0041219 -0.086359 0.087279 12330
## traitKSPI:traitCTL.species 0.1279177 -0.083097 0.342409 10694
## traitLAAO:traitCTL.species 0.0211538 -0.046034 0.082645 11993
## traitPLA2:traitCTL.species -0.0991896 -0.466568 0.219735 10071
## traitSVMP:traitCTL.species 0.0179580 -0.464173 0.518533 9146
## traitSVSP:traitCTL.species -0.0485457 -0.369492 0.244654 10125
## traitTFTx:traitGF.species 0.0150122 -0.143150 0.177099 12667
## traitBPP.CNP:traitGF.species 0.0126497 -0.087418 0.113557 12667
## traitCRISP:traitGF.species 0.0667903 0.009978 0.129071 12667
## traitCTL:traitGF.species 0.0041219 -0.086359 0.087279 12330
## traitGF:traitGF.species 0.1084183 0.045592 0.184355 12667
## traitKSPI:traitGF.species 0.0233746 -0.096955 0.141649 12101
## traitLAAO:traitGF.species 0.0673522 0.021137 0.118470 12788
## traitPLA2:traitGF.species -0.0810327 -0.266094 0.100574 11910
## traitSVMP:traitGF.species -0.2021413 -0.489541 0.066373 12042
## traitSVSP:traitGF.species -0.0143324 -0.188095 0.154494 11672
## traitTFTx:traitKSPI.species 0.0437850 -0.239427 0.333746 12667
## traitBPP.CNP:traitKSPI.species -0.0532846 -0.316200 0.213663 10540
## traitCRISP:traitKSPI.species -0.0009373 -0.096469 0.099488 12667
## traitCTL:traitKSPI.species 0.1279177 -0.083097 0.342409 10694
## traitGF:traitKSPI.species 0.0233746 -0.096955 0.141649 12101
## traitKSPI:traitKSPI.species 0.4798996 0.243582 0.744500 12667
## traitLAAO:traitKSPI.species 0.0587536 -0.020688 0.145475 12128
## traitPLA2:traitKSPI.species -0.1905420 -0.575689 0.186106 9989
## traitSVMP:traitKSPI.species -0.2971399 -0.760485 0.137084 12070
## traitSVSP:traitKSPI.species -0.1916152 -0.546369 0.131981 10526
## traitTFTx:traitLAAO.species 0.0120451 -0.116223 0.132538 12667
## traitBPP.CNP:traitLAAO.species 0.0003399 -0.080196 0.075905 11187
## traitCRISP:traitLAAO.species 0.0661010 0.022287 0.114568 12667
## traitCTL:traitLAAO.species 0.0211538 -0.046034 0.082645 11993
## traitGF:traitLAAO.species 0.0673522 0.021137 0.118470 12788
## traitKSPI:traitLAAO.species 0.0587536 -0.020688 0.145475 12128
## traitLAAO:traitLAAO.species 0.0834478 0.042730 0.131650 12667
## traitPLA2:traitLAAO.species -0.1284485 -0.274754 -0.002873 12336
## traitSVMP:traitLAAO.species -0.0914524 -0.284819 0.107506 12667
## traitSVSP:traitLAAO.species -0.0891038 -0.222068 0.022852 11957
## traitTFTx:traitPLA2.species -0.0285271 -0.529122 0.450848 11539
## traitBPP.CNP:traitPLA2.species 0.0585910 -0.338449 0.500656 8929
## traitCRISP:traitPLA2.species -0.1277201 -0.315651 0.030130 11720
## traitCTL:traitPLA2.species -0.0991896 -0.466568 0.219735 10071
## traitGF:traitPLA2.species -0.0810327 -0.266094 0.100574 11910
## traitKSPI:traitPLA2.species -0.1905420 -0.575689 0.186106 9989
## traitLAAO:traitPLA2.species -0.1284485 -0.274754 -0.002873 12336
## traitPLA2:traitPLA2.species 0.9011134 0.106816 1.903411 8472
## traitSVMP:traitPLA2.species -0.8134363 -1.916516 0.206631 7822
## traitSVSP:traitPLA2.species 0.5094027 -0.028889 1.115408 9416
## traitTFTx:traitSVMP.species -0.6454405 -1.418157 0.016823 12667
## traitBPP.CNP:traitSVMP.species -0.1574699 -0.836328 0.486297 8292
## traitCRISP:traitSVMP.species -0.0537543 -0.284424 0.183855 11890
## traitCTL:traitSVMP.species 0.0179580 -0.464173 0.518533 9146
## traitGF:traitSVMP.species -0.2021413 -0.489541 0.066373 12042
## traitKSPI:traitSVMP.species -0.2971399 -0.760485 0.137084 12070
## traitLAAO:traitSVMP.species -0.0914524 -0.284819 0.107506 12667
## traitPLA2:traitSVMP.species -0.8134363 -1.916516 0.206631 7822
## traitSVMP:traitSVMP.species 2.8078732 1.465037 4.403863 10729
## traitSVSP:traitSVMP.species -0.5649643 -1.457827 0.232311 8787
## traitTFTx:traitSVSP.species -0.3970668 -0.850871 0.031453 12667
## traitBPP.CNP:traitSVSP.species 0.1053134 -0.288165 0.468378 9534
## traitCRISP:traitSVSP.species -0.0614364 -0.219417 0.088724 9758
## traitCTL:traitSVSP.species -0.0485457 -0.369492 0.244654 10125
## traitGF:traitSVSP.species -0.0143324 -0.188095 0.154494 11672
## traitKSPI:traitSVSP.species -0.1916152 -0.546369 0.131981 10526
## traitLAAO:traitSVSP.species -0.0891038 -0.222068 0.022852 11957
## traitPLA2:traitSVSP.species 0.5094027 -0.028889 1.115408 9416
## traitSVMP:traitSVSP.species -0.5649643 -1.457827 0.232311 8787
## traitSVSP:traitSVSP.species 0.7525326 0.108657 1.517038 8665
##
## R-structure: ~us(trait):units
##
## post.mean l-95% CI u-95% CI eff.samp
## traitTFTx:traitTFTx.units 0.0858214 0.011802 0.187894 12667
## traitBPP.CNP:traitTFTx.units 0.0460542 -0.120860 0.208354 12212
## traitCRISP:traitTFTx.units -0.0181114 -0.053798 0.013516 12667
## traitCTL:traitTFTx.units -0.0143573 -0.131474 0.098669 12667
## traitGF:traitTFTx.units -0.0203481 -0.073116 0.031104 12064
## traitKSPI:traitTFTx.units -0.0160058 -0.075472 0.038938 12008
## traitLAAO:traitTFTx.units -0.0007266 -0.031143 0.027869 12667
## traitPLA2:traitTFTx.units -0.1601139 -0.373440 0.032368 11680
## traitSVMP:traitTFTx.units 0.0128448 -0.122675 0.139115 11675
## traitSVSP:traitTFTx.units 0.0850575 -0.089988 0.264240 13241
## traitTFTx:traitBPP.CNP.units 0.0460542 -0.120860 0.208354 12212
## traitBPP.CNP:traitBPP.CNP.units 0.5309996 0.296460 0.815570 12595
## traitCRISP:traitBPP.CNP.units -0.0537672 -0.118242 0.005450 12677
## traitCTL:traitBPP.CNP.units -0.0241815 -0.156985 0.101900 12667
## traitGF:traitBPP.CNP.units -0.0488238 -0.123680 0.025294 15193
## traitKSPI:traitBPP.CNP.units -0.0584180 -0.177029 0.058894 11170
## traitLAAO:traitBPP.CNP.units -0.0380964 -0.090020 0.012244 12667
## traitPLA2:traitBPP.CNP.units -0.1553666 -0.446966 0.110078 11019
## traitSVMP:traitBPP.CNP.units -0.0354619 -0.312299 0.229912 9933
## traitSVSP:traitBPP.CNP.units -0.1628645 -0.407546 0.075413 12192
## traitTFTx:traitCRISP.units -0.0181114 -0.053798 0.013516 12667
## traitBPP.CNP:traitCRISP.units -0.0537672 -0.118242 0.005450 12677
## traitCRISP:traitCRISP.units 0.0220577 0.005732 0.042005 12667
## traitCTL:traitCRISP.units -0.0174918 -0.061664 0.027076 12004
## traitGF:traitCRISP.units 0.0177173 -0.003259 0.042464 12667
## traitKSPI:traitCRISP.units 0.0090654 -0.015784 0.037398 12667
## traitLAAO:traitCRISP.units 0.0058935 -0.006080 0.020701 12667
## traitPLA2:traitCRISP.units 0.0617153 -0.015758 0.143867 13007
## traitSVMP:traitCRISP.units -0.0078133 -0.067635 0.046747 11914
## traitSVSP:traitCRISP.units -0.0191603 -0.086568 0.051515 12138
## traitTFTx:traitCTL.units -0.0143573 -0.131474 0.098669 12667
## traitBPP.CNP:traitCTL.units -0.0241815 -0.156985 0.101900 12667
## traitCRISP:traitCTL.units -0.0174918 -0.061664 0.027076 12004
## traitCTL:traitCTL.units 0.2072723 0.088085 0.344203 11776
## traitGF:traitCTL.units -0.0215050 -0.074257 0.028829 12346
## traitKSPI:traitCTL.units -0.0106628 -0.097506 0.082617 10952
## traitLAAO:traitCTL.units 0.0086916 -0.024732 0.044895 12667
## traitPLA2:traitCTL.units -0.0358730 -0.228342 0.152856 10740
## traitSVMP:traitCTL.units 0.0560945 -0.141272 0.261587 9329
## traitSVSP:traitCTL.units -0.1478923 -0.333133 0.020358 11415
## traitTFTx:traitGF.units -0.0203481 -0.073116 0.031104 12064
## traitBPP.CNP:traitGF.units -0.0488238 -0.123680 0.025294 15193
## traitCRISP:traitGF.units 0.0177173 -0.003259 0.042464 12667
## traitCTL:traitGF.units -0.0215050 -0.074257 0.028829 12346
## traitGF:traitGF.units 0.0587866 0.023327 0.098969 12667
## traitKSPI:traitGF.units 0.0081789 -0.036202 0.047139 11920
## traitLAAO:traitGF.units -0.0118979 -0.028628 0.005252 12667
## traitPLA2:traitGF.units 0.0190060 -0.092027 0.117440 12065
## traitSVMP:traitGF.units 0.0028874 -0.082835 0.086527 11193
## traitSVSP:traitGF.units -0.0039022 -0.090642 0.090608 12667
## traitTFTx:traitKSPI.units -0.0160058 -0.075472 0.038938 12008
## traitBPP.CNP:traitKSPI.units -0.0584180 -0.177029 0.058894 11170
## traitCRISP:traitKSPI.units 0.0090654 -0.015784 0.037398 12667
## traitCTL:traitKSPI.units -0.0106628 -0.097506 0.082617 10952
## traitGF:traitKSPI.units 0.0081789 -0.036202 0.047139 11920
## traitKSPI:traitKSPI.units 0.0475200 0.003544 0.112618 11891
## traitLAAO:traitKSPI.units 0.0067292 -0.016180 0.031338 12667
## traitPLA2:traitKSPI.units 0.0648489 -0.086420 0.212931 11232
## traitSVMP:traitKSPI.units -0.0272311 -0.140801 0.069558 10457
## traitSVSP:traitKSPI.units -0.0239376 -0.153571 0.104458 10804
## traitTFTx:traitLAAO.units -0.0007266 -0.031143 0.027869 12667
## traitBPP.CNP:traitLAAO.units -0.0380964 -0.090020 0.012244 12667
## traitCRISP:traitLAAO.units 0.0058935 -0.006080 0.020701 12667
## traitCTL:traitLAAO.units 0.0086916 -0.024732 0.044895 12667
## traitGF:traitLAAO.units -0.0118979 -0.028628 0.005252 12667
## traitKSPI:traitLAAO.units 0.0067292 -0.016180 0.031338 12667
## traitLAAO:traitLAAO.units 0.0170905 0.003755 0.032872 12667
## traitPLA2:traitLAAO.units 0.0236237 -0.039577 0.089603 12115
## traitSVMP:traitLAAO.units -0.0011884 -0.051198 0.046016 12134
## traitSVSP:traitLAAO.units -0.0100132 -0.074498 0.044650 12044
## traitTFTx:traitPLA2.units -0.1601139 -0.373440 0.032368 11680
## traitBPP.CNP:traitPLA2.units -0.1553666 -0.446966 0.110078 11019
## traitCRISP:traitPLA2.units 0.0617153 -0.015758 0.143867 13007
## traitCTL:traitPLA2.units -0.0358730 -0.228342 0.152856 10740
## traitGF:traitPLA2.units 0.0190060 -0.092027 0.117440 12065
## traitKSPI:traitPLA2.units 0.0648489 -0.086420 0.212931 11232
## traitLAAO:traitPLA2.units 0.0236237 -0.039577 0.089603 12115
## traitPLA2:traitPLA2.units 0.8643911 0.382110 1.407766 10754
## traitSVMP:traitPLA2.units -0.2388502 -0.634400 0.103320 8935
## traitSVSP:traitPLA2.units -0.4432701 -0.805764 -0.107121 11066
## traitTFTx:traitSVMP.units 0.0128448 -0.122675 0.139115 11675
## traitBPP.CNP:traitSVMP.units -0.0354619 -0.312299 0.229912 9933
## traitCRISP:traitSVMP.units -0.0078133 -0.067635 0.046747 11914
## traitCTL:traitSVMP.units 0.0560945 -0.141272 0.261587 9329
## traitGF:traitSVMP.units 0.0028874 -0.082835 0.086527 11193
## traitKSPI:traitSVMP.units -0.0272311 -0.140801 0.069558 10457
## traitLAAO:traitSVMP.units -0.0011884 -0.051198 0.046016 12134
## traitPLA2:traitSVMP.units -0.2388502 -0.634400 0.103320 8935
## traitSVMP:traitSVMP.units 0.2099677 0.005995 0.568893 9408
## traitSVSP:traitSVMP.units 0.0288413 -0.278611 0.315450 9386
## traitTFTx:traitSVSP.units 0.0850575 -0.089988 0.264240 13241
## traitBPP.CNP:traitSVSP.units -0.1628645 -0.407546 0.075413 12192
## traitCRISP:traitSVSP.units -0.0191603 -0.086568 0.051515 12138
## traitCTL:traitSVSP.units -0.1478923 -0.333133 0.020358 11415
## traitGF:traitSVSP.units -0.0039022 -0.090642 0.090608 12667
## traitKSPI:traitSVSP.units -0.0239376 -0.153571 0.104458 10804
## traitLAAO:traitSVSP.units -0.0100132 -0.074498 0.044650 12044
## traitPLA2:traitSVSP.units -0.4432701 -0.805764 -0.107121 11066
## traitSVMP:traitSVSP.units 0.0288413 -0.278611 0.315450 9386
## traitSVSP:traitSVSP.units 0.6972702 0.330560 1.126846 11224
##
## Location effects: cbind(TFTx, BPP.CNP, CRISP, CTL, GF, KSPI, LAAO, PLA2, SVMP, SVSP) ~ trait:1
##
## post.mean l-95% CI u-95% CI eff.samp pMCMC
## (Intercept) -3.085e-05 -6.091e-03 5.929e-03 12667 0.993
posterior.mode(cov_model.1$VCV)
## traitTFTx:traitTFTx.species traitBPP.CNP:traitTFTx.species
## 1.296487e+00 -1.489847e-01
## traitCRISP:traitTFTx.species traitCTL:traitTFTx.species
## -7.984542e-03 -1.278094e-01
## traitGF:traitTFTx.species traitKSPI:traitTFTx.species
## 2.693729e-02 -9.583644e-03
## traitLAAO:traitTFTx.species traitPLA2:traitTFTx.species
## -7.576171e-05 2.490650e-02
## traitSVMP:traitTFTx.species traitSVSP:traitTFTx.species
## -5.536074e-01 -3.441671e-01
## traitTFTx:traitBPP.CNP.species traitBPP.CNP:traitBPP.CNP.species
## -1.489847e-01 6.983069e-02
## traitCRISP:traitBPP.CNP.species traitCTL:traitBPP.CNP.species
## 2.522745e-02 9.793705e-03
## traitGF:traitBPP.CNP.species traitKSPI:traitBPP.CNP.species
## 9.667959e-03 -3.401396e-02
## traitLAAO:traitBPP.CNP.species traitPLA2:traitBPP.CNP.species
## 8.783221e-03 6.538883e-02
## traitSVMP:traitBPP.CNP.species traitSVSP:traitBPP.CNP.species
## -6.350128e-02 1.138660e-01
## traitTFTx:traitCRISP.species traitBPP.CNP:traitCRISP.species
## -7.984542e-03 2.522745e-02
## traitCRISP:traitCRISP.species traitCTL:traitCRISP.species
## 1.048861e-01 4.493577e-04
## traitGF:traitCRISP.species traitKSPI:traitCRISP.species
## 5.746307e-02 -1.078678e-02
## traitLAAO:traitCRISP.species traitPLA2:traitCRISP.species
## 5.684165e-02 -1.097994e-01
## traitSVMP:traitCRISP.species traitSVSP:traitCRISP.species
## -6.450149e-02 -4.897689e-02
## traitTFTx:traitCTL.species traitBPP.CNP:traitCTL.species
## -1.278094e-01 9.793705e-03
## traitCRISP:traitCTL.species traitCTL:traitCTL.species
## 4.493577e-04 8.726539e-02
## traitGF:traitCTL.species traitKSPI:traitCTL.species
## 1.233212e-02 9.986601e-02
## traitLAAO:traitCTL.species traitPLA2:traitCTL.species
## 1.417658e-02 -5.742939e-02
## traitSVMP:traitCTL.species traitSVSP:traitCTL.species
## 1.008568e-02 1.426480e-02
## traitTFTx:traitGF.species traitBPP.CNP:traitGF.species
## 2.693729e-02 9.667959e-03
## traitCRISP:traitGF.species traitCTL:traitGF.species
## 5.746307e-02 1.233212e-02
## traitGF:traitGF.species traitKSPI:traitGF.species
## 8.785163e-02 2.742054e-02
## traitLAAO:traitGF.species traitPLA2:traitGF.species
## 5.996534e-02 -5.742063e-02
## traitSVMP:traitGF.species traitSVSP:traitGF.species
## -2.092450e-01 -1.924070e-02
## traitTFTx:traitKSPI.species traitBPP.CNP:traitKSPI.species
## -9.583644e-03 -3.401396e-02
## traitCRISP:traitKSPI.species traitCTL:traitKSPI.species
## -1.078678e-02 9.986601e-02
## traitGF:traitKSPI.species traitKSPI:traitKSPI.species
## 2.742054e-02 4.652637e-01
## traitLAAO:traitKSPI.species traitPLA2:traitKSPI.species
## 5.509807e-02 -1.855221e-01
## traitSVMP:traitKSPI.species traitSVSP:traitKSPI.species
## -2.870425e-01 -1.646642e-01
## traitTFTx:traitLAAO.species traitBPP.CNP:traitLAAO.species
## -7.576171e-05 8.783221e-03
## traitCRISP:traitLAAO.species traitCTL:traitLAAO.species
## 5.684165e-02 1.417658e-02
## traitGF:traitLAAO.species traitKSPI:traitLAAO.species
## 5.996534e-02 5.509807e-02
## traitLAAO:traitLAAO.species traitPLA2:traitLAAO.species
## 7.579598e-02 -1.091065e-01
## traitSVMP:traitLAAO.species traitSVSP:traitLAAO.species
## -7.223834e-02 -6.580230e-02
## traitTFTx:traitPLA2.species traitBPP.CNP:traitPLA2.species
## 2.490650e-02 6.538883e-02
## traitCRISP:traitPLA2.species traitCTL:traitPLA2.species
## -1.097994e-01 -5.742939e-02
## traitGF:traitPLA2.species traitKSPI:traitPLA2.species
## -5.742063e-02 -1.855221e-01
## traitLAAO:traitPLA2.species traitPLA2:traitPLA2.species
## -1.091065e-01 7.216318e-01
## traitSVMP:traitPLA2.species traitSVSP:traitPLA2.species
## -6.697253e-01 4.814302e-01
## traitTFTx:traitSVMP.species traitBPP.CNP:traitSVMP.species
## -5.536074e-01 -6.350128e-02
## traitCRISP:traitSVMP.species traitCTL:traitSVMP.species
## -6.450149e-02 1.008568e-02
## traitGF:traitSVMP.species traitKSPI:traitSVMP.species
## -2.092450e-01 -2.870425e-01
## traitLAAO:traitSVMP.species traitPLA2:traitSVMP.species
## -7.223834e-02 -6.697253e-01
## traitSVMP:traitSVMP.species traitSVSP:traitSVMP.species
## 2.644246e+00 -4.618826e-01
## traitTFTx:traitSVSP.species traitBPP.CNP:traitSVSP.species
## -3.441671e-01 1.138660e-01
## traitCRISP:traitSVSP.species traitCTL:traitSVSP.species
## -4.897689e-02 1.426480e-02
## traitGF:traitSVSP.species traitKSPI:traitSVSP.species
## -1.924070e-02 -1.646642e-01
## traitLAAO:traitSVSP.species traitPLA2:traitSVSP.species
## -6.580230e-02 4.814302e-01
## traitSVMP:traitSVSP.species traitSVSP:traitSVSP.species
## -4.618826e-01 5.643247e-01
## traitTFTx:traitTFTx.units traitBPP.CNP:traitTFTx.units
## 5.531391e-02 2.015981e-02
## traitCRISP:traitTFTx.units traitCTL:traitTFTx.units
## -1.661541e-02 -1.075508e-03
## traitGF:traitTFTx.units traitKSPI:traitTFTx.units
## -1.133672e-02 -1.489698e-02
## traitLAAO:traitTFTx.units traitPLA2:traitTFTx.units
## -5.644959e-04 -1.226980e-01
## traitSVMP:traitTFTx.units traitSVSP:traitTFTx.units
## 1.006565e-02 9.709177e-02
## traitTFTx:traitBPP.CNP.units traitBPP.CNP:traitBPP.CNP.units
## 2.015981e-02 4.863293e-01
## traitCRISP:traitBPP.CNP.units traitCTL:traitBPP.CNP.units
## -5.090489e-02 -2.932575e-02
## traitGF:traitBPP.CNP.units traitKSPI:traitBPP.CNP.units
## -4.814097e-02 -5.457160e-02
## traitLAAO:traitBPP.CNP.units traitPLA2:traitBPP.CNP.units
## -4.439142e-02 -1.032140e-01
## traitSVMP:traitBPP.CNP.units traitSVSP:traitBPP.CNP.units
## -8.419889e-03 -1.312664e-01
## traitTFTx:traitCRISP.units traitBPP.CNP:traitCRISP.units
## -1.661541e-02 -5.090489e-02
## traitCRISP:traitCRISP.units traitCTL:traitCRISP.units
## 1.765437e-02 -1.650449e-02
## traitGF:traitCRISP.units traitKSPI:traitCRISP.units
## 1.217460e-02 9.489824e-03
## traitLAAO:traitCRISP.units traitPLA2:traitCRISP.units
## 1.981300e-03 5.060888e-02
## traitSVMP:traitCRISP.units traitSVSP:traitCRISP.units
## -1.895829e-03 -1.232197e-02
## traitTFTx:traitCTL.units traitBPP.CNP:traitCTL.units
## -1.075508e-03 -2.932575e-02
## traitCRISP:traitCTL.units traitCTL:traitCTL.units
## -1.650449e-02 1.847474e-01
## traitGF:traitCTL.units traitKSPI:traitCTL.units
## -2.265472e-02 -2.184210e-02
## traitLAAO:traitCTL.units traitPLA2:traitCTL.units
## 8.427578e-03 -2.396657e-02
## traitSVMP:traitCTL.units traitSVSP:traitCTL.units
## 3.756037e-02 -1.172093e-01
## traitTFTx:traitGF.units traitBPP.CNP:traitGF.units
## -1.133672e-02 -4.814097e-02
## traitCRISP:traitGF.units traitCTL:traitGF.units
## 1.217460e-02 -2.265472e-02
## traitGF:traitGF.units traitKSPI:traitGF.units
## 4.754728e-02 1.149869e-02
## traitLAAO:traitGF.units traitPLA2:traitGF.units
## -1.185429e-02 1.907763e-02
## traitSVMP:traitGF.units traitSVSP:traitGF.units
## 3.100707e-03 -3.504329e-04
## traitTFTx:traitKSPI.units traitBPP.CNP:traitKSPI.units
## -1.489698e-02 -5.457160e-02
## traitCRISP:traitKSPI.units traitCTL:traitKSPI.units
## 9.489824e-03 -2.184210e-02
## traitGF:traitKSPI.units traitKSPI:traitKSPI.units
## 1.149869e-02 2.786758e-02
## traitLAAO:traitKSPI.units traitPLA2:traitKSPI.units
## 5.272555e-03 7.708143e-02
## traitSVMP:traitKSPI.units traitSVSP:traitKSPI.units
## -9.721501e-03 -3.383246e-02
## traitTFTx:traitLAAO.units traitBPP.CNP:traitLAAO.units
## -5.644959e-04 -4.439142e-02
## traitCRISP:traitLAAO.units traitCTL:traitLAAO.units
## 1.981300e-03 8.427578e-03
## traitGF:traitLAAO.units traitKSPI:traitLAAO.units
## -1.185429e-02 5.272555e-03
## traitLAAO:traitLAAO.units traitPLA2:traitLAAO.units
## 1.446954e-02 2.765632e-02
## traitSVMP:traitLAAO.units traitSVSP:traitLAAO.units
## -3.932400e-04 -2.399112e-03
## traitTFTx:traitPLA2.units traitBPP.CNP:traitPLA2.units
## -1.226980e-01 -1.032140e-01
## traitCRISP:traitPLA2.units traitCTL:traitPLA2.units
## 5.060888e-02 -2.396657e-02
## traitGF:traitPLA2.units traitKSPI:traitPLA2.units
## 1.907763e-02 7.708143e-02
## traitLAAO:traitPLA2.units traitPLA2:traitPLA2.units
## 2.765632e-02 7.429985e-01
## traitSVMP:traitPLA2.units traitSVSP:traitPLA2.units
## -1.653414e-01 -4.225168e-01
## traitTFTx:traitSVMP.units traitBPP.CNP:traitSVMP.units
## 1.006565e-02 -8.419889e-03
## traitCRISP:traitSVMP.units traitCTL:traitSVMP.units
## -1.895829e-03 3.756037e-02
## traitGF:traitSVMP.units traitKSPI:traitSVMP.units
## 3.100707e-03 -9.721501e-03
## traitLAAO:traitSVMP.units traitPLA2:traitSVMP.units
## -3.932400e-04 -1.653414e-01
## traitSVMP:traitSVMP.units traitSVSP:traitSVMP.units
## 4.850233e-02 4.620712e-02
## traitTFTx:traitSVSP.units traitBPP.CNP:traitSVSP.units
## 9.709177e-02 -1.312664e-01
## traitCRISP:traitSVSP.units traitCTL:traitSVSP.units
## -1.232197e-02 -1.172093e-01
## traitGF:traitSVSP.units traitKSPI:traitSVSP.units
## -3.504329e-04 -3.383246e-02
## traitLAAO:traitSVSP.units traitPLA2:traitSVSP.units
## -2.399112e-03 -4.225168e-01
## traitSVMP:traitSVSP.units traitSVSP:traitSVSP.units
## 4.620712e-02 5.856831e-01
Supplementary Figure 1: Convergence of MCMC for fixed & random effectplot(cov_model.1$Sol)