Vegan-specific signature implies healthier metabolic profile: findings from diet-related multi-omics observational study based on different European populations
Statistical report for microbiome analysis (SGB level, prevalence > 30% in training dataset)
Authors and affiliations
Anna Ouradova1,*, Giulio Ferrero2,3,*, Miriam Bratova4, Nikola Daskova4, Alena Bohdanecka4,5, Klara Dohnalova6, Marie Heczkova4, Karel Chalupsky6, Maria Kralova7,8, Marek Kuzma9, István Modos4, Filip Tichanek4, Lucie Najmanova9, Barbara Pardini10, Helena Pelantová9, Sonia Tarallo10, Petra Videnska11, Jan Gojda1,#, Alessio Naccarati10,#, Monika Cahova4,#
* These authors have contributed equally to this work and share first authorship
# These authors have contributed equally to this work and share last authorship
1 Department of Internal Medicine, Kralovske Vinohrady University Hospital and Third Faculty of Medicine, Charles University, Prague, Czech Republic
2 Department of Clinical and Biological Sciences, University of Turin, Turin, Italy
3 Department of Computer Science, University of Turin, Turin, Italy
4 Institute for Clinical and Experimental Medicine, Prague, Czech Republic
5 First Faculty of Medicine, Charles University, Prague, Czech Republic
6 Czech Centre for Phenogenomics, Institute of Molecular Genetics of the Czech Academy of Sciences, Prague, Czech Republic
7 Ambis University, Department of Economics and Management, Prague, Czech Republic
8 Department of Informatics, Brno University of Technology, Brno, Czech Republic
9 Institute of Microbiology of the Czech Academy of Sciences, Prague, Czech Republic
10 Italian Institute for Genomic Medicine (IIGM), c/o IRCCS Candiolo, Turin, Italy
11 Mendel University, Department of Chemistry and Biochemistry, Brno, Czech Republic
This is a statistical report of the study A vegan diet signature from a multi-omics study on different European populations is related to favorable metabolic outcomes that is currenlty under review
When using this code or data, cite the original publication:
TO BE ADDED
BibTex citation for the original publication:
TO BE ADDED
Original GitHub repository: https://github.com/filip-tichanek/ItCzVegans
Statistical reports can be found on the reports hub.
Data analysis is described in detail in the statistical methods report.
1 Introduction
This project explores potential signatures of a vegan diet across the microbiome, metabolome, and lipidome. We used data from healthy vegan and omnivorous human subjects in two countries (Czech Republic and Italy), with subjects grouped by Country and Diet, resulting in four distinct groups.
To assess the generalizability of these findings, we validated our results with an independent cohort from the Czech Republic for external validation.
1.1 Statistical Methods
The statistical modeling approach is described in detail in this report. Briefly, the methods used included:
Multivariate analysis: We conducted multivariate analyses (PERMANOVA, PCA, correlation analyses) to explore the effects of
diet,country, and their possible interaction (diet : country) on the microbiome, lipidome, and metabolome compositions in an integrative manner. This part of the analysis is not available on the GitHub page, but the code will be provided upon request.Linear models: Linear models were applied to estimate the effects of
diet,country, and their interaction (diet:country) on individual lipids, metabolites, bacterial taxa and pathways (“features”). Features that significantly differed between diet groups (based on the estimated average conditional effect of diet across both countries, adjusted for multiple comparisons with FDR < 0.05) were further examined in the independent external validation cohort to assess whether these associations were reproducible. Next, we fit linear models restricted to vegan participants to test whether omics profiles varied with the duration of vegan diet. Fixed-effect predictors were diet duration (per 10 years), country, their interaction, and age (included due to correlation with diet duration).Predictive models (elastic net): We employed elastic net logistic regression (via the
glmnetR package) to predict vegan status based on metabolome, lipidome, microbiome and pathways data (one model per dataset; four models in total). We considered three combinations of Lasso and Ridge penalties (alpha = 0, 0.2, 0.4). For each alpha, we selected the penalty strength (λ1se) using 10-fold cross-validation. This value corresponds to the most regularized model whose performance was within one standard error of the minimum deviance. The alpha–lambda pair with the lowest deviance was chosen to fit the final model, whose coefficients are reported.
To estimate model performance, we repeated the full modeling procedure (including hyperparameter tuning) 500 times on bootstrap resamples of the training data. In each iteration, the model was trained on the resampled data and evaluated on the out-of-bag subjects (i.e., those not included in the training set in that iteration). The mean, and 2.5th, and 97.5th percentiles of the resulting ROC-AUC values represent the estimated out-of-sample AUC and its 95% confidence interval.
Finally, the final model was applied to an independent validation cohort to generate predicted probabilities of vegan status. These probabilities were then used to assess external discrimination between diet groups (ROC-AUC in the independent validation cohort). The elastic net models were not intended for practical prediction, but to quantify the strength of the signal separating the dietary groups, with its uncertainty, by using all features of a given dataset jointly. It also offered a complementary perspective on which features are most clearly associated with diet
2 Initiation
2.1 Set home directory
Open code
setwd('/home/ticf/secured_data/GitRepo/ticf/478_MOCA_italian')2.2 Upload initiation file
Open code
source('478_initiation.R')3 Data
3.1 Upload all original data
3.1.1 Training set
3.1.1.1 Connect metadata from lipidom table
Open code
training_metadata <- read.xlsx('gitignore/data/lipidome_training_cohort.xlsx') %>%
select(Sample, Country, Diet) %>%
mutate(ID = Sample)3.1.1.2 Connect training data
Open code
data_microbiome_original_raw <- read.table(
'gitignore/data/0_Data_Metaphlan4_SGB_subset.txt')
colnames(data_microbiome_original_raw) <- data_microbiome_original_raw[1,]
data_microbiome_original_raw <- data_microbiome_original_raw %>%
t() %>%
data.frame()
colnames(data_microbiome_original_raw) <- data_microbiome_original_raw[1,]
data_microbiome_original_raw <- data_microbiome_original_raw[-1, ] %>%
left_join(training_metadata, by = 'ID') %>%
mutate(Data = 'valid', Sample = ID) %>%
select(Sample, Data, Diet, Country, everything()) %>%
select(-ID)
dim(data_microbiome_original_raw)
## [1] 166 6843.1.2 Validation set
3.1.2.1 Get metadata from lipidom table
Open code
data_lipids_validation <- read.xlsx('gitignore/data/lipidome_validation_cohort.xlsx') %>%
mutate(ID = X1) %>%
select(ID, X2)3.1.2.2 Connect validation data
Open code
data_microbiome_validation_raw <- read.table(
'gitignore/data/0_Data_Metaphlan4_SGB_subset_validation.txt')
colnames(data_microbiome_validation_raw) <- data_microbiome_validation_raw[1,]
data_microbiome_validation_raw <- data_microbiome_validation_raw %>%
t() %>%
data.frame()
colnames(data_microbiome_validation_raw) <- data_microbiome_validation_raw[1,]
data_microbiome_validation_raw <- data_microbiome_validation_raw[-1, ] %>%
mutate(
ID= paste0("K", gsub("\\..*", "", trimws(ID)))) %>%
left_join(data_lipids_validation, by = 'ID') %>%
mutate(Data = 'valid', Sample = ID, Diet = X2) %>%
select(Sample, Data, Diet, everything()) %>%
select(-ID, -X2)
dim(data_microbiome_validation_raw)
## [1] 103 6833.1.3 Get center-log transformed value
Open code
set.seed(478)
## Training data
metadata <- data_microbiome_original_raw[, c("Sample", "Country", "Diet")]
bacteria_d <- data_microbiome_original_raw[, -c(1:4)] %>%
mutate(across(everything(), as.numeric)) %>%
select(where(~ mean(. != 0) >= 0.3))
dim(data_microbiome_original_raw[, -c(1:4)])
## [1] 166 680
dim(bacteria_d)
## [1] 166 299
rel_taxons <- c(colnames(bacteria_d))
bacteria_data <- bacteria_d / rowSums(bacteria_d)
dim(bacteria_data)
## [1] 166 299
bacteria_data <- lrSVD(bacteria_data,
label = 0,
dl = NULL,
z.warning = 0.9,
z.delete = FALSE,
ncp = 1)
clr_bacteria_data <- clr(bacteria_data)
data_microbiome_original <- cbind(metadata, clr_bacteria_data)
if(file.exists('gitignore/data_microbiome_SGB30_training_impCLR.csv') == FALSE){
write.csv(data_microbiome_original ,
'gitignore/data_microbiome_SGB30_training_impCLR.csv')
}
## Show variances of CLR proportions across samples
data_variance <- data_microbiome_original %>%
rowwise() %>%
mutate(variance = var(c_across(-(Sample:Diet)))) %>%
ungroup() %>%
select(Sample, variance)
## Look at distribution
hist(data_variance$variance)
Open code
## Show extreme samples
## Validation data
metadata <- data_microbiome_validation_raw[, c("Sample", "Data", "Diet")]
bacteria_d <- data_microbiome_validation_raw[, -(1:3)] %>%
mutate(across(everything(), as.numeric)) %>%
select(all_of(rel_taxons))
bacteria_data <- bacteria_d / rowSums(bacteria_d)
min(colSums(bacteria_data))
## [1] 0.0004796078
bacteria_data <- lrSVD(bacteria_data,
label = 0,
dl = NULL,
z.warning = 0.9,
z.delete = FALSE,
ncp = 1)
clr_bacteria_data <- clr(bacteria_data)
data_microbiome_validation <- cbind(metadata, clr_bacteria_data)
## Add Diet for K284 which has the diet missing
data_microbiome_validation[
which(data_microbiome_validation$Sample == 'K284'), 'Diet'
] <- 'VEGAN'
data_microbiome_validation$`Wujia_chipingensis|SGB5111`
## [1] -2.2659270 -1.8366784 -1.5719579 -1.5649595 -1.3519655 -1.9273808
## [7] -0.5872619 -1.9902827 -0.9982257 -1.6966210 -2.1930395 -0.1319288
## [13] -2.1260143 -1.9245373 -2.0088636 0.5526297 3.9926563 -0.7907929
## [19] -2.1891711 -1.9395276 -2.1353811 -2.1654279 -2.2360908 -0.3930113
## [25] -2.3957911 -0.2977329 -1.4533578 -1.4072936 -2.0794670 1.8049062
## [31] 1.5258843 3.6617309 3.8680214 -2.0412347 0.4626366 0.3866172
## [37] 5.8044209 -2.2201075 -0.4444399 -2.1377634 -2.1399921 -2.0933531
## [43] 4.5931692 -1.6871195 2.8164681 -2.5644101 -2.0585439 -2.6629664
## [49] 0.6723405 4.4534434 4.1610574 5.3832639 -1.6933290 -2.5382040
## [55] -2.4107280 -2.1198776 5.3413842 -1.8967301 -1.5487724 -2.1396917
## [61] -1.7628668 4.1335815 5.0872100 3.6031291 -1.8040730 4.9799740
## [67] -0.9850500 -1.5123666 -0.5770878 -1.7964678 -2.1354643 2.3798401
## [73] 5.9776544 -2.2009657 -2.4395272 4.0615507 -1.3941153 -2.3882306
## [79] -2.2799115 4.6054080 -1.5516203 -0.4367249 -1.5615449 4.0790976
## [85] 1.0917225 3.7139508 -1.8139512 -1.1749955 -1.6831395 -1.5614355
## [91] -1.9565894 -0.1425388 -1.0454574 -2.1128182 4.9182020 -1.6631032
## [97] -2.3185501 -1.6734295 -1.6233100 -1.5638780 3.3149668 4.7828809
## [103] -1.5505336
# data_microbiome_validation <- data_microbiome_validation %>%
# rename("Wujia_chipingenss|SGB5111" = "Wujia_chipingensis|SGB5111")
if(file.exists('gitignore/data_microbiome_SGB30_validation_impCLR.csv') == FALSE){
write.csv(data_microbiome_validation,
'gitignore/data_microbiome_SGB30_validation_impCLR.csv')
}3.1.4 Merge training and validation dataset
Open code
cbind(
colnames(data_microbiome_original),
colnames(data_microbiome_validation))
## [,1]
## [1,] "Sample"
## [2,] "Country"
## [3,] "Diet"
## [4,] "Bacteroides_stercoris|SGB1830"
## [5,] "Alistipes_putredinis|SGB2318"
## [6,] "Candidatus_Cibionibacter_quicibialis|SGB15286"
## [7,] "Bacteroides_uniformis|SGB1836"
## [8,] "Eubacterium_siraeum|SGB4198"
## [9,] "GGB9602_SGB15031|SGB15031"
## [10,] "Phocaeicola_vulgatus|SGB1814"
## [11,] "Faecalibacterium_prausnitzii|SGB15316"
## [12,] "Lachnospiraceae_bacterium_CLA_AA_H244|SGB4993"
## [13,] "Sutterella_wadsworthensis|SGB9283"
## [14,] "Oscillibacter_sp_ER4|SGB15254"
## [15,] "Parabacteroides_distasonis|SGB1934"
## [16,] "Parabacteroides_merdae|SGB1949"
## [17,] "Oscillibacter_valericigenes|SGB15053"
## [18,] "GGB47687_SGB2286|SGB2286"
## [19,] "Brotolimicola_acetigignens|SGB4914"
## [20,] "GGB9747_SGB15356|SGB15356"
## [21,] "Faecalibacterium_prausnitzii|SGB15339"
## [22,] "Alistipes_shahii|SGB2295"
## [23,] "Alistipes_onderdonkii|SGB2303"
## [24,] "Faecalibacterium_SGB15346|SGB15346"
## [25,] "Dialister_invisus|SGB5825_group"
## [26,] "Faecalibacterium_prausnitzii|SGB15332"
## [27,] "Gemmiger_formicilis|SGB15300"
## [28,] "GGB33469_SGB15236|SGB15236"
## [29,] "Bacteroides_eggerthii|SGB1829"
## [30,] "Coprococcus_eutactus|SGB5117"
## [31,] "Alistipes_communis|SGB2290"
## [32,] "Faecalibacterium_prausnitzii|SGB15322"
## [33,] "Escherichia_coli|SGB10068"
## [34,] "Faecalibacterium_prausnitzii|SGB15318"
## [35,] "GGB3175_SGB4191|SGB4191"
## [36,] "Faecalibacterium_prausnitzii|SGB15342"
## [37,] "Fusicatenibacter_saccharivorans|SGB4874"
## [38,] "Intestinimonas_massiliensis|SGB15127"
## [39,] "Vescimonas_coprocola|SGB15089"
## [40,] "Oscillibacter_sp_MSJ_31|SGB15249"
## [41,] "Bacteroides_caccae|SGB1877"
## [42,] "Oscillospiraceae_bacterium_CLA_AA_H250|SGB14861"
## [43,] "Bifidobacterium_longum|SGB17248"
## [44,] "Alistipes_senegalensis|SGB2296"
## [45,] "Roseburia_intestinalis|SGB4951"
## [46,] "Dysosmobacter_welbionis|SGB15078"
## [47,] "Eubacterium_rectale|SGB4933"
## [48,] "Alistipes_ihumii|SGB2328"
## [49,] "Roseburia_faecis|SGB4925"
## [50,] "GGB9699_SGB15216|SGB15216"
## [51,] "Oscillospiraceae_bacterium|SGB15225"
## [52,] "Faecalibacterium_prausnitzii|SGB15317"
## [53,] "GGB9715_SGB15267|SGB15267"
## [54,] "GGB9667_SGB15164|SGB15164"
## [55,] "Lachnospira_pectinoschiza|SGB5075"
## [56,] "Bacteroides_clarus|SGB1832"
## [57,] "Anaerotignum_faecicola|SGB5190"
## [58,] "Hydrogenoanaerobacterium_saccharovorans|SGB15350"
## [59,] "Bacteroides_faecis|SGB1860"
## [60,] "Roseburia_hominis|SGB4936"
## [61,] "GGB9712_SGB15244|SGB15244"
## [62,] "Ruminococcus_bicirculans|SGB4262"
## [63,] "Bilophila_wadsworthia|SGB15452"
## [64,] "Odoribacter_splanchnicus|SGB1790"
## [65,] "GGB9365_SGB14341|SGB14341"
## [66,] "GGB9715_SGB15265|SGB15265"
## [67,] "GGB9730_SGB15291|SGB15291"
## [68,] "Bifidobacterium_adolescentis|SGB17244"
## [69,] "Bacteroides_ovatus|SGB1871"
## [70,] "GGB9614_SGB15049|SGB15049"
## [71,] "Simiaoa_sunii|SGB4910"
## [72,] "GGB9759_SGB15370|SGB15370"
## [73,] "Barnesiella_intestinihominis|SGB1965"
## [74,] "Agathobaculum_butyriciproducens|SGB14993"
## [75,] "Lachnospira_eligens|SGB5082"
## [76,] "Lacrimispora_amygdalina|SGB4716"
## [77,] "Akkermansia_muciniphila|SGB9226"
## [78,] "Clostridiales_bacterium|SGB15143"
## [79,] "GGB6649_SGB9391|SGB9391"
## [80,] "Ruminococcus_bromii|SGB4285"
## [81,] "Gemmiger_formicilis|SGB15299"
## [82,] "Alistipes_sp_AF17_16|SGB2326"
## [83,] "Clostridiaceae_bacterium|SGB4269"
## [84,] "GGB9760_SGB15373|SGB15373"
## [85,] "Clostridiaceae_bacterium_AF18_31LB|SGB4767"
## [86,] "GGB9621_SGB15073|SGB15073"
## [87,] "Bacteroides_cellulosilyticus|SGB1844"
## [88,] "Faecalibacterium_sp_CLA_AA_H233|SGB15315"
## [89,] "Ruthenibacterium_lactatiformans|SGB15271"
## [90,] "Lawsonibacter_asaccharolyticus|SGB15154"
## [91,] "Clostridium_sp_AF20_17LB|SGB4714"
## [92,] "Phocaeicola_massiliensis|SGB1812"
## [93,] "GGB9760_SGB15374|SGB15374"
## [94,] "Clostridium_fessum|SGB4705"
## [95,] "GGB33586_SGB53517|SGB53517"
## [96,] "Clostridium_sp_AF36_4|SGB4644"
## [97,] "Clostridium_SGB4909|SGB4909"
## [98,] "GGB13404_SGB14252|SGB14252"
## [99,] "GGB9627_SGB15081|SGB15081"
## [100,] "GGB9608_SGB15041|SGB15041"
## [101,] "GGB9707_SGB15229|SGB15229"
## [102,] "Parasutterella_excrementihominis|SGB9262"
## [103,] "Roseburia_inulinivorans|SGB4940"
## [104,] "Phocaeicola_dorei|SGB1815"
## [105,] "Oscillibacter_valericigenes|SGB15124"
## [106,] "GGB9502_SGB14899|SGB14899"
## [107,] "GGB9818_SGB15459|SGB15459"
## [108,] "GGB9767_SGB15385|SGB15385"
## [109,] "Clostridiaceae_bacterium|SGB4770"
## [110,] "Bacteroides_thetaiotaomicron|SGB1861"
## [111,] "GGB9559_SGB14969|SGB14969"
## [112,] "Flavonifractor_plautii|SGB15132"
## [113,] "Fusicatenibacter_sp_CLA_AA_H277|SGB4780"
## [114,] "Lachnospiraceae_bacterium_AM48_27BH|SGB4706"
## [115,] "GGB9063_SGB13982|SGB13982"
## [116,] "Collinsella_aerofaciens|SGB14535"
## [117,] "GGB9522_SGB14921|SGB14921"
## [118,] "GGB9619_SGB15067|SGB15067"
## [119,] "Clostridium_leptum|SGB14853"
## [120,] "GGB52130_SGB14966|SGB14966"
## [121,] "Clostridium_sp_AF27_2AA|SGB4712"
## [122,] "Blautia_sp_MCC283|SGB4828"
## [123,] "Clostridiales_bacterium_KLE1615|SGB5090"
## [124,] "Lachnospira_sp_NSJ_43|SGB5087"
## [125,] "Butyricimonas_virosa|SGB1784"
## [126,] "GGB9509_SGB14906|SGB14906"
## [127,] "Coprococcus_catus|SGB4670"
## [128,] "GGB4585_SGB6340|SGB6340"
## [129,] "Phascolarctobacterium_faecium|SGB5792"
## [130,] "Clostridiaceae_bacterium_Marseille_Q4143|SGB4768"
## [131,] "GGB45432_SGB63101|SGB63101"
## [132,] "Clostridium_sp_AM33_3|SGB4711"
## [133,] "GGB9342_SGB14306|SGB14306"
## [134,] "Faecalicatena_fissicatena|SGB4871"
## [135,] "Alistipes_finegoldii|SGB2301"
## [136,] "Oscillospiraceae_bacterium_Marseille_Q3528|SGB4778"
## [137,] "Faecalibacterium_sp_HTFF|SGB15340"
## [138,] "GGB3653_SGB4964|SGB4964"
## [139,] "Intestinimonas_butyriciproducens|SGB15126"
## [140,] "GGB9719_SGB15272|SGB15272"
## [141,] "Blautia_glucerasea|SGB4816"
## [142,] "GGB2653_SGB3574|SGB3574"
## [143,] "Veillonella_dispar|SGB6952"
## [144,] "bacterium_210917_DFI_7_65|SGB14999"
## [145,] "GGB9646_SGB15123|SGB15123"
## [146,] "GGB51441_SGB71759|SGB71759"
## [147,] "GGB33512_SGB15203|SGB15203"
## [148,] "Alistipes_indistinctus|SGB2325"
## [149,] "Candidatus_Borkfalkia_ceftriaxoniphila|SGB14027"
## [150,] "GGB9062_SGB13981|SGB13981"
## [151,] "Lachnospiraceae_bacterium|SGB4781"
## [152,] "Phocea_massiliensis|SGB14837"
## [153,] "Guopingia_tenuis|SGB14127"
## [154,] "GGB3109_SGB4121|SGB4121"
## [155,] "GGB9534_SGB14937|SGB14937"
## [156,] "Anaerotruncus_rubiinfantis|SGB25416"
## [157,] "Lachnospiraceae_bacterium|SGB4953"
## [158,] "Oscillibacter_sp_PC13|SGB7258"
## [159,] "Blautia_SGB4815|SGB4815"
## [160,] "Lawsonibacter_hominis|SGB15131"
## [161,] "Clostridium_SGB4750|SGB4750"
## [162,] "Holdemania_filiformis|SGB4046"
## [163,] "Anaeromassilibacillus_senegalensis|SGB14894"
## [164,] "Lachnospira_pectinoschiza|SGB5089"
## [165,] "Anaerofilum_hominis|SGB79822"
## [166,] "Lachnotalea_sp_AF33_28|SGB5200"
## [167,] "Senegalimassilia_anaerobia|SGB14824_group"
## [168,] "GGB9345_SGB14311|SGB14311"
## [169,] "Blautia_obeum|SGB4811"
## [170,] "Ligaoa_zhengdingensis|SGB14839"
## [171,] "Adlercreutzia_equolifaciens|SGB14797"
## [172,] "Blautia_wexlerae|SGB4837"
## [173,] "GGB9787_SGB15410|SGB15410"
## [174,] "GGB36331_SGB15121|SGB15121"
## [175,] "Clostridium_sp_AM22_11AC|SGB4749"
## [176,] "Ruminococcus_sp_AF41_9|SGB25497"
## [177,] "Anaerotruncus_colihominis|SGB14963"
## [178,] "Eubacterium_ramulus|SGB4959"
## [179,] "Enterocloster_lavalensis|SGB4725"
## [180,] "GGB2848_SGB3813|SGB3813"
## [181,] "Blautia_faecis|SGB4820"
## [182,] "Clostridiaceae_bacterium_Marseille_Q4145|SGB4769"
## [183,] "Roseburia_sp_AF02_12|SGB4938"
## [184,] "Butyricimonas_faecihominis|SGB1786"
## [185,] "Youxingia_wuxianensis|SGB82503"
## [186,] "Intestinimonas_gabonensis|SGB79840"
## [187,] "GGB9064_SGB13983|SGB13983"
## [188,] "GGB45613_SGB63326|SGB63326"
## [189,] "GGB4552_SGB6276|SGB6276"
## [190,] "Blautia_massiliensis|SGB4826"
## [191,] "Lachnospiraceae_bacterium_CLA_AA_H215|SGB4777"
## [192,] "Dorea_formicigenerans|SGB4575"
## [193,] "Clostridia_bacterium_UC5_1_1D1|SGB14995"
## [194,] "GGB9765_SGB15382|SGB15382"
## [195,] "GGB9770_SGB15390|SGB15390"
## [196,] "Clostridium_sp_AM49_4BH|SGB4652"
## [197,] "GGB3537_SGB4727|SGB4727"
## [198,] "Wansuia_hejianensis|SGB25431"
## [199,] "Coprococcus_eutactus|SGB5121"
## [200,] "Coprobacter_secundus|SGB1962"
## [201,] "GGB3510_SGB4687|SGB4687"
## [202,] "Mediterraneibacter_faecis|SGB4563"
## [203,] "Ruminococcus_torques|SGB4608"
## [204,] "Coprococcus_comes|SGB4577"
## [205,] "Streptococcus_parasanguinis|SGB8071"
## [206,] "Provencibacterium_massiliense|SGB14838"
## [207,] "Eubacterium_ventriosum|SGB5045"
## [208,] "Enterocloster_citroniae|SGB4761"
## [209,] "GGB51647_SGB4348|SGB4348"
## [210,] "GGB9635_SGB15106|SGB15106"
## [211,] "GGB9758_SGB15368|SGB15368"
## [212,] "GGB9708_SGB15234|SGB15234"
## [213,] "GGB3304_SGB4367|SGB4367"
## [214,] "Wujia_chipingensis|SGB5111"
## [215,] "Clostridiaceae_bacterium_Marseille_Q4149|SGB15091"
## [216,] "Paraprevotella_clara|SGB1798"
## [217,] "Agathobaculum_butyriciproducens|SGB14991"
## [218,] "GGB9296_SGB14253|SGB14253"
## [219,] "Butyricimonas_paravirosa|SGB1785"
## [220,] "Dorea_longicatena|SGB4581"
## [221,] "Ruminococcus_lactaris|SGB4557"
## [222,] "Alistipes_dispar|SGB2311"
## [223,] "Dysosmobacter_SGB15077|SGB15077"
## [224,] "GGB13489_SGB15224|SGB15224"
## [225,] "Clostridium_sp_AF12_28|SGB4715"
## [226,] "GGB34797_SGB14322|SGB14322"
## [227,] "Anaerobutyricum_hallii|SGB4532"
## [228,] "Clostridium_SGB48024|SGB48024"
## [229,] "Slackia_isoflavoniconvertens|SGB14773"
## [230,] "GGB3321_SGB4394|SGB4394"
## [231,] "GGB9237_SGB14179|SGB14179"
## [232,] "Anaerotruncus_massiliensis|SGB14965"
## [233,] "GGB9531_SGB14932|SGB14932"
## [234,] "GGB3619_SGB4894|SGB4894"
## [235,] "Streptococcus_salivarius|SGB8007_group"
## [236,] "Oscillibacter_valericigenes|SGB15076"
## [237,] "Anaerostipes_hadrus|SGB4540"
## [238,] "Blautia_wexlerae|SGB4831"
## [239,] "GGB2970_SGB3952|SGB3952"
## [240,] "Lawsonibacter_SGB15145|SGB15145"
## [241,] "GGB9563_SGB14975|SGB14975"
## [242,] "Blautia_glucerasea|SGB4804"
## [243,] "Anaerostipes_hadrus|SGB4547"
## [244,] "Lachnospiraceae_bacterium|SGB4782"
## [245,] "GGB2998_SGB3988|SGB3988"
## [246,] "GGB9616_SGB15052|SGB15052"
## [247,] "GGB9524_SGB14924|SGB14924"
## [248,] "Segatella_copri|SGB1626"
## [249,] "Mediterraneibacter_butyricigenes|SGB25493"
## [250,] "Haemophilus_parainfluenzae|SGB9712"
## [251,] "Anaerosacchariphilus_sp_NSJ_68|SGB4772"
## [252,] "Anaerotignum_sp_MSJ_24|SGB5180"
## [253,] "Dorea_sp_AF36_15AT|SGB4552"
## [254,] "GGB58158_SGB79798|SGB79798"
## [255,] "Pseudoflavonifractor_capillosus|SGB15140"
## [256,] "Oliverpabstia_intestinalis|SGB4868"
## [257,] "Veillonella_parvula|SGB6939"
## [258,] "Colidextribacter_sp_210702_DFI_3_9|SGB15146"
## [259,] "Coprobacter_fastidiosus|SGB1963"
## [260,] "Veillonella_rogosae|SGB6956"
## [261,] "Eubacteriaceae_bacterium|SGB3958"
## [262,] "TM7_phylum_sp_oral_taxon_352|SGB19860_group"
## [263,] "Enterocloster_hominis|SGB4721"
## [264,] "Rothia_mucilaginosa|SGB16971_group"
## [265,] "Blautia_luti|SGB4832"
## [266,] "Blautia_sp_OF03_15BH|SGB4779"
## [267,] "Streptococcus_australis|SGB8059_group"
## [268,] "Ruminococcus_gnavus|SGB4571"
## [269,] "Streptococcus_thermophilus|SGB8002"
## [270,] "Roseburia_hominis|SGB4659"
## [271,] "Lentihominibacter_faecis|SGB3957"
## [272,] "Actinomyces_sp_ICM47|SGB17167_group"
## [273,] "Evtepia_gabavorous|SGB15120"
## [274,] "Blautia_obeum|SGB4810"
## [275,] "GGB3480_SGB4648|SGB4648"
## [276,] "Ellagibacter_isourolithinifaciens|SGB14816_group"
## [277,] "GGB2982_SGB3964|SGB3964"
## [278,] "Anaerobutyricum_soehngenii|SGB4537"
## [279,] "Bacteroides_xylanisolvens|SGB1867"
## [280,] "Neobittarella_massiliensis|SGB7264"
## [281,] "Faecalibacillus_intestinalis|SGB6754"
## [282,] "GGB9708_SGB15233|SGB15233"
## [283,] "Enterocloster_asparagiformis|SGB4724"
## [284,] "GGB51884_SGB49168|SGB49168"
## [285,] "Enterocloster_aldenensis|SGB4762"
## [286,] "Eggerthella_lenta|SGB14809"
## [287,] "Bacteroides_fragilis|SGB1855"
## [288,] "Veillonella_atypica|SGB6936"
## [289,] "Enterocloster_bolteae|SGB4758"
## [290,] "Romboutsia_timonensis|SGB6148"
## [291,] "Roseburia_lenta|SGB4957"
## [292,] "GGB3288_SGB4342|SGB4342"
## [293,] "GGB9574_SGB14987|SGB14987"
## [294,] "Dorea_longicatena|SGB4582"
## [295,] "Eubacterium_sp_AF34_35BH|SGB5051"
## [296,] "GGB9640_SGB15115|SGB15115"
## [297,] "Clostridiaceae_unclassified_SGB4771|SGB4771"
## [298,] "GGB9766_SGB15383|SGB15383"
## [299,] "Lachnospiraceae_bacterium_OM04_12BH|SGB4893"
## [300,] "Clostridium_SGB6173|SGB6173"
## [301,] "GGB9616_SGB15051|SGB15051"
## [302,] "Intestinibacter_bartlettii|SGB6140"
## [,2]
## [1,] "Sample"
## [2,] "Data"
## [3,] "Diet"
## [4,] "Bacteroides_stercoris|SGB1830"
## [5,] "Alistipes_putredinis|SGB2318"
## [6,] "Candidatus_Cibionibacter_quicibialis|SGB15286"
## [7,] "Bacteroides_uniformis|SGB1836"
## [8,] "Eubacterium_siraeum|SGB4198"
## [9,] "GGB9602_SGB15031|SGB15031"
## [10,] "Phocaeicola_vulgatus|SGB1814"
## [11,] "Faecalibacterium_prausnitzii|SGB15316"
## [12,] "Lachnospiraceae_bacterium_CLA_AA_H244|SGB4993"
## [13,] "Sutterella_wadsworthensis|SGB9283"
## [14,] "Oscillibacter_sp_ER4|SGB15254"
## [15,] "Parabacteroides_distasonis|SGB1934"
## [16,] "Parabacteroides_merdae|SGB1949"
## [17,] "Oscillibacter_valericigenes|SGB15053"
## [18,] "GGB47687_SGB2286|SGB2286"
## [19,] "Brotolimicola_acetigignens|SGB4914"
## [20,] "GGB9747_SGB15356|SGB15356"
## [21,] "Faecalibacterium_prausnitzii|SGB15339"
## [22,] "Alistipes_shahii|SGB2295"
## [23,] "Alistipes_onderdonkii|SGB2303"
## [24,] "Faecalibacterium_SGB15346|SGB15346"
## [25,] "Dialister_invisus|SGB5825_group"
## [26,] "Faecalibacterium_prausnitzii|SGB15332"
## [27,] "Gemmiger_formicilis|SGB15300"
## [28,] "GGB33469_SGB15236|SGB15236"
## [29,] "Bacteroides_eggerthii|SGB1829"
## [30,] "Coprococcus_eutactus|SGB5117"
## [31,] "Alistipes_communis|SGB2290"
## [32,] "Faecalibacterium_prausnitzii|SGB15322"
## [33,] "Escherichia_coli|SGB10068"
## [34,] "Faecalibacterium_prausnitzii|SGB15318"
## [35,] "GGB3175_SGB4191|SGB4191"
## [36,] "Faecalibacterium_prausnitzii|SGB15342"
## [37,] "Fusicatenibacter_saccharivorans|SGB4874"
## [38,] "Intestinimonas_massiliensis|SGB15127"
## [39,] "Vescimonas_coprocola|SGB15089"
## [40,] "Oscillibacter_sp_MSJ_31|SGB15249"
## [41,] "Bacteroides_caccae|SGB1877"
## [42,] "Oscillospiraceae_bacterium_CLA_AA_H250|SGB14861"
## [43,] "Bifidobacterium_longum|SGB17248"
## [44,] "Alistipes_senegalensis|SGB2296"
## [45,] "Roseburia_intestinalis|SGB4951"
## [46,] "Dysosmobacter_welbionis|SGB15078"
## [47,] "Eubacterium_rectale|SGB4933"
## [48,] "Alistipes_ihumii|SGB2328"
## [49,] "Roseburia_faecis|SGB4925"
## [50,] "GGB9699_SGB15216|SGB15216"
## [51,] "Oscillospiraceae_bacterium|SGB15225"
## [52,] "Faecalibacterium_prausnitzii|SGB15317"
## [53,] "GGB9715_SGB15267|SGB15267"
## [54,] "GGB9667_SGB15164|SGB15164"
## [55,] "Lachnospira_pectinoschiza|SGB5075"
## [56,] "Bacteroides_clarus|SGB1832"
## [57,] "Anaerotignum_faecicola|SGB5190"
## [58,] "Hydrogenoanaerobacterium_saccharovorans|SGB15350"
## [59,] "Bacteroides_faecis|SGB1860"
## [60,] "Roseburia_hominis|SGB4936"
## [61,] "GGB9712_SGB15244|SGB15244"
## [62,] "Ruminococcus_bicirculans|SGB4262"
## [63,] "Bilophila_wadsworthia|SGB15452"
## [64,] "Odoribacter_splanchnicus|SGB1790"
## [65,] "GGB9365_SGB14341|SGB14341"
## [66,] "GGB9715_SGB15265|SGB15265"
## [67,] "GGB9730_SGB15291|SGB15291"
## [68,] "Bifidobacterium_adolescentis|SGB17244"
## [69,] "Bacteroides_ovatus|SGB1871"
## [70,] "GGB9614_SGB15049|SGB15049"
## [71,] "Simiaoa_sunii|SGB4910"
## [72,] "GGB9759_SGB15370|SGB15370"
## [73,] "Barnesiella_intestinihominis|SGB1965"
## [74,] "Agathobaculum_butyriciproducens|SGB14993"
## [75,] "Lachnospira_eligens|SGB5082"
## [76,] "Lacrimispora_amygdalina|SGB4716"
## [77,] "Akkermansia_muciniphila|SGB9226"
## [78,] "Clostridiales_bacterium|SGB15143"
## [79,] "GGB6649_SGB9391|SGB9391"
## [80,] "Ruminococcus_bromii|SGB4285"
## [81,] "Gemmiger_formicilis|SGB15299"
## [82,] "Alistipes_sp_AF17_16|SGB2326"
## [83,] "Clostridiaceae_bacterium|SGB4269"
## [84,] "GGB9760_SGB15373|SGB15373"
## [85,] "Clostridiaceae_bacterium_AF18_31LB|SGB4767"
## [86,] "GGB9621_SGB15073|SGB15073"
## [87,] "Bacteroides_cellulosilyticus|SGB1844"
## [88,] "Faecalibacterium_sp_CLA_AA_H233|SGB15315"
## [89,] "Ruthenibacterium_lactatiformans|SGB15271"
## [90,] "Lawsonibacter_asaccharolyticus|SGB15154"
## [91,] "Clostridium_sp_AF20_17LB|SGB4714"
## [92,] "Phocaeicola_massiliensis|SGB1812"
## [93,] "GGB9760_SGB15374|SGB15374"
## [94,] "Clostridium_fessum|SGB4705"
## [95,] "GGB33586_SGB53517|SGB53517"
## [96,] "Clostridium_sp_AF36_4|SGB4644"
## [97,] "Clostridium_SGB4909|SGB4909"
## [98,] "GGB13404_SGB14252|SGB14252"
## [99,] "GGB9627_SGB15081|SGB15081"
## [100,] "GGB9608_SGB15041|SGB15041"
## [101,] "GGB9707_SGB15229|SGB15229"
## [102,] "Parasutterella_excrementihominis|SGB9262"
## [103,] "Roseburia_inulinivorans|SGB4940"
## [104,] "Phocaeicola_dorei|SGB1815"
## [105,] "Oscillibacter_valericigenes|SGB15124"
## [106,] "GGB9502_SGB14899|SGB14899"
## [107,] "GGB9818_SGB15459|SGB15459"
## [108,] "GGB9767_SGB15385|SGB15385"
## [109,] "Clostridiaceae_bacterium|SGB4770"
## [110,] "Bacteroides_thetaiotaomicron|SGB1861"
## [111,] "GGB9559_SGB14969|SGB14969"
## [112,] "Flavonifractor_plautii|SGB15132"
## [113,] "Fusicatenibacter_sp_CLA_AA_H277|SGB4780"
## [114,] "Lachnospiraceae_bacterium_AM48_27BH|SGB4706"
## [115,] "GGB9063_SGB13982|SGB13982"
## [116,] "Collinsella_aerofaciens|SGB14535"
## [117,] "GGB9522_SGB14921|SGB14921"
## [118,] "GGB9619_SGB15067|SGB15067"
## [119,] "Clostridium_leptum|SGB14853"
## [120,] "GGB52130_SGB14966|SGB14966"
## [121,] "Clostridium_sp_AF27_2AA|SGB4712"
## [122,] "Blautia_sp_MCC283|SGB4828"
## [123,] "Clostridiales_bacterium_KLE1615|SGB5090"
## [124,] "Lachnospira_sp_NSJ_43|SGB5087"
## [125,] "Butyricimonas_virosa|SGB1784"
## [126,] "GGB9509_SGB14906|SGB14906"
## [127,] "Coprococcus_catus|SGB4670"
## [128,] "GGB4585_SGB6340|SGB6340"
## [129,] "Phascolarctobacterium_faecium|SGB5792"
## [130,] "Clostridiaceae_bacterium_Marseille_Q4143|SGB4768"
## [131,] "GGB45432_SGB63101|SGB63101"
## [132,] "Clostridium_sp_AM33_3|SGB4711"
## [133,] "GGB9342_SGB14306|SGB14306"
## [134,] "Faecalicatena_fissicatena|SGB4871"
## [135,] "Alistipes_finegoldii|SGB2301"
## [136,] "Oscillospiraceae_bacterium_Marseille_Q3528|SGB4778"
## [137,] "Faecalibacterium_sp_HTFF|SGB15340"
## [138,] "GGB3653_SGB4964|SGB4964"
## [139,] "Intestinimonas_butyriciproducens|SGB15126"
## [140,] "GGB9719_SGB15272|SGB15272"
## [141,] "Blautia_glucerasea|SGB4816"
## [142,] "GGB2653_SGB3574|SGB3574"
## [143,] "Veillonella_dispar|SGB6952"
## [144,] "bacterium_210917_DFI_7_65|SGB14999"
## [145,] "GGB9646_SGB15123|SGB15123"
## [146,] "GGB51441_SGB71759|SGB71759"
## [147,] "GGB33512_SGB15203|SGB15203"
## [148,] "Alistipes_indistinctus|SGB2325"
## [149,] "Candidatus_Borkfalkia_ceftriaxoniphila|SGB14027"
## [150,] "GGB9062_SGB13981|SGB13981"
## [151,] "Lachnospiraceae_bacterium|SGB4781"
## [152,] "Phocea_massiliensis|SGB14837"
## [153,] "Guopingia_tenuis|SGB14127"
## [154,] "GGB3109_SGB4121|SGB4121"
## [155,] "GGB9534_SGB14937|SGB14937"
## [156,] "Anaerotruncus_rubiinfantis|SGB25416"
## [157,] "Lachnospiraceae_bacterium|SGB4953"
## [158,] "Oscillibacter_sp_PC13|SGB7258"
## [159,] "Blautia_SGB4815|SGB4815"
## [160,] "Lawsonibacter_hominis|SGB15131"
## [161,] "Clostridium_SGB4750|SGB4750"
## [162,] "Holdemania_filiformis|SGB4046"
## [163,] "Anaeromassilibacillus_senegalensis|SGB14894"
## [164,] "Lachnospira_pectinoschiza|SGB5089"
## [165,] "Anaerofilum_hominis|SGB79822"
## [166,] "Lachnotalea_sp_AF33_28|SGB5200"
## [167,] "Senegalimassilia_anaerobia|SGB14824_group"
## [168,] "GGB9345_SGB14311|SGB14311"
## [169,] "Blautia_obeum|SGB4811"
## [170,] "Ligaoa_zhengdingensis|SGB14839"
## [171,] "Adlercreutzia_equolifaciens|SGB14797"
## [172,] "Blautia_wexlerae|SGB4837"
## [173,] "GGB9787_SGB15410|SGB15410"
## [174,] "GGB36331_SGB15121|SGB15121"
## [175,] "Clostridium_sp_AM22_11AC|SGB4749"
## [176,] "Ruminococcus_sp_AF41_9|SGB25497"
## [177,] "Anaerotruncus_colihominis|SGB14963"
## [178,] "Eubacterium_ramulus|SGB4959"
## [179,] "Enterocloster_lavalensis|SGB4725"
## [180,] "GGB2848_SGB3813|SGB3813"
## [181,] "Blautia_faecis|SGB4820"
## [182,] "Clostridiaceae_bacterium_Marseille_Q4145|SGB4769"
## [183,] "Roseburia_sp_AF02_12|SGB4938"
## [184,] "Butyricimonas_faecihominis|SGB1786"
## [185,] "Youxingia_wuxianensis|SGB82503"
## [186,] "Intestinimonas_gabonensis|SGB79840"
## [187,] "GGB9064_SGB13983|SGB13983"
## [188,] "GGB45613_SGB63326|SGB63326"
## [189,] "GGB4552_SGB6276|SGB6276"
## [190,] "Blautia_massiliensis|SGB4826"
## [191,] "Lachnospiraceae_bacterium_CLA_AA_H215|SGB4777"
## [192,] "Dorea_formicigenerans|SGB4575"
## [193,] "Clostridia_bacterium_UC5_1_1D1|SGB14995"
## [194,] "GGB9765_SGB15382|SGB15382"
## [195,] "GGB9770_SGB15390|SGB15390"
## [196,] "Clostridium_sp_AM49_4BH|SGB4652"
## [197,] "GGB3537_SGB4727|SGB4727"
## [198,] "Wansuia_hejianensis|SGB25431"
## [199,] "Coprococcus_eutactus|SGB5121"
## [200,] "Coprobacter_secundus|SGB1962"
## [201,] "GGB3510_SGB4687|SGB4687"
## [202,] "Mediterraneibacter_faecis|SGB4563"
## [203,] "Ruminococcus_torques|SGB4608"
## [204,] "Coprococcus_comes|SGB4577"
## [205,] "Streptococcus_parasanguinis|SGB8071"
## [206,] "Provencibacterium_massiliense|SGB14838"
## [207,] "Eubacterium_ventriosum|SGB5045"
## [208,] "Enterocloster_citroniae|SGB4761"
## [209,] "GGB51647_SGB4348|SGB4348"
## [210,] "GGB9635_SGB15106|SGB15106"
## [211,] "GGB9758_SGB15368|SGB15368"
## [212,] "GGB9708_SGB15234|SGB15234"
## [213,] "GGB3304_SGB4367|SGB4367"
## [214,] "Wujia_chipingensis|SGB5111"
## [215,] "Clostridiaceae_bacterium_Marseille_Q4149|SGB15091"
## [216,] "Paraprevotella_clara|SGB1798"
## [217,] "Agathobaculum_butyriciproducens|SGB14991"
## [218,] "GGB9296_SGB14253|SGB14253"
## [219,] "Butyricimonas_paravirosa|SGB1785"
## [220,] "Dorea_longicatena|SGB4581"
## [221,] "Ruminococcus_lactaris|SGB4557"
## [222,] "Alistipes_dispar|SGB2311"
## [223,] "Dysosmobacter_SGB15077|SGB15077"
## [224,] "GGB13489_SGB15224|SGB15224"
## [225,] "Clostridium_sp_AF12_28|SGB4715"
## [226,] "GGB34797_SGB14322|SGB14322"
## [227,] "Anaerobutyricum_hallii|SGB4532"
## [228,] "Clostridium_SGB48024|SGB48024"
## [229,] "Slackia_isoflavoniconvertens|SGB14773"
## [230,] "GGB3321_SGB4394|SGB4394"
## [231,] "GGB9237_SGB14179|SGB14179"
## [232,] "Anaerotruncus_massiliensis|SGB14965"
## [233,] "GGB9531_SGB14932|SGB14932"
## [234,] "GGB3619_SGB4894|SGB4894"
## [235,] "Streptococcus_salivarius|SGB8007_group"
## [236,] "Oscillibacter_valericigenes|SGB15076"
## [237,] "Anaerostipes_hadrus|SGB4540"
## [238,] "Blautia_wexlerae|SGB4831"
## [239,] "GGB2970_SGB3952|SGB3952"
## [240,] "Lawsonibacter_SGB15145|SGB15145"
## [241,] "GGB9563_SGB14975|SGB14975"
## [242,] "Blautia_glucerasea|SGB4804"
## [243,] "Anaerostipes_hadrus|SGB4547"
## [244,] "Lachnospiraceae_bacterium|SGB4782"
## [245,] "GGB2998_SGB3988|SGB3988"
## [246,] "GGB9616_SGB15052|SGB15052"
## [247,] "GGB9524_SGB14924|SGB14924"
## [248,] "Segatella_copri|SGB1626"
## [249,] "Mediterraneibacter_butyricigenes|SGB25493"
## [250,] "Haemophilus_parainfluenzae|SGB9712"
## [251,] "Anaerosacchariphilus_sp_NSJ_68|SGB4772"
## [252,] "Anaerotignum_sp_MSJ_24|SGB5180"
## [253,] "Dorea_sp_AF36_15AT|SGB4552"
## [254,] "GGB58158_SGB79798|SGB79798"
## [255,] "Pseudoflavonifractor_capillosus|SGB15140"
## [256,] "Oliverpabstia_intestinalis|SGB4868"
## [257,] "Veillonella_parvula|SGB6939"
## [258,] "Colidextribacter_sp_210702_DFI_3_9|SGB15146"
## [259,] "Coprobacter_fastidiosus|SGB1963"
## [260,] "Veillonella_rogosae|SGB6956"
## [261,] "Eubacteriaceae_bacterium|SGB3958"
## [262,] "TM7_phylum_sp_oral_taxon_352|SGB19860_group"
## [263,] "Enterocloster_hominis|SGB4721"
## [264,] "Rothia_mucilaginosa|SGB16971_group"
## [265,] "Blautia_luti|SGB4832"
## [266,] "Blautia_sp_OF03_15BH|SGB4779"
## [267,] "Streptococcus_australis|SGB8059_group"
## [268,] "Ruminococcus_gnavus|SGB4571"
## [269,] "Streptococcus_thermophilus|SGB8002"
## [270,] "Roseburia_hominis|SGB4659"
## [271,] "Lentihominibacter_faecis|SGB3957"
## [272,] "Actinomyces_sp_ICM47|SGB17167_group"
## [273,] "Evtepia_gabavorous|SGB15120"
## [274,] "Blautia_obeum|SGB4810"
## [275,] "GGB3480_SGB4648|SGB4648"
## [276,] "Ellagibacter_isourolithinifaciens|SGB14816_group"
## [277,] "GGB2982_SGB3964|SGB3964"
## [278,] "Anaerobutyricum_soehngenii|SGB4537"
## [279,] "Bacteroides_xylanisolvens|SGB1867"
## [280,] "Neobittarella_massiliensis|SGB7264"
## [281,] "Faecalibacillus_intestinalis|SGB6754"
## [282,] "GGB9708_SGB15233|SGB15233"
## [283,] "Enterocloster_asparagiformis|SGB4724"
## [284,] "GGB51884_SGB49168|SGB49168"
## [285,] "Enterocloster_aldenensis|SGB4762"
## [286,] "Eggerthella_lenta|SGB14809"
## [287,] "Bacteroides_fragilis|SGB1855"
## [288,] "Veillonella_atypica|SGB6936"
## [289,] "Enterocloster_bolteae|SGB4758"
## [290,] "Romboutsia_timonensis|SGB6148"
## [291,] "Roseburia_lenta|SGB4957"
## [292,] "GGB3288_SGB4342|SGB4342"
## [293,] "GGB9574_SGB14987|SGB14987"
## [294,] "Dorea_longicatena|SGB4582"
## [295,] "Eubacterium_sp_AF34_35BH|SGB5051"
## [296,] "GGB9640_SGB15115|SGB15115"
## [297,] "Clostridiaceae_unclassified_SGB4771|SGB4771"
## [298,] "GGB9766_SGB15383|SGB15383"
## [299,] "Lachnospiraceae_bacterium_OM04_12BH|SGB4893"
## [300,] "Clostridium_SGB6173|SGB6173"
## [301,] "GGB9616_SGB15051|SGB15051"
## [302,] "Intestinibacter_bartlettii|SGB6140"
common_microbiome <- intersect(
colnames(data_microbiome_original),
colnames(data_microbiome_validation))[-c(1:2)]
tr1 <- data_microbiome_original %>%
mutate(Data = if_else(Country == 'CZ', 'CZ_tr', 'IT_tr')) %>%
select(Data, Diet, all_of(common_microbiome))
tr2 <- data_microbiome_validation %>%
mutate(Data = 'valid',
Diet = Diet) %>%
select(Data, Diet, all_of(common_microbiome))
data_merged <- bind_rows(tr1, tr2)
data_microbiome_validation$`Wujia_chipingenss|SGB5111`
## NULL
data_microbiome_validation$`Wujia_chipingensis|SGB5111`
## [1] -2.2659270 -1.8366784 -1.5719579 -1.5649595 -1.3519655 -1.9273808
## [7] -0.5872619 -1.9902827 -0.9982257 -1.6966210 -2.1930395 -0.1319288
## [13] -2.1260143 -1.9245373 -2.0088636 0.5526297 3.9926563 -0.7907929
## [19] -2.1891711 -1.9395276 -2.1353811 -2.1654279 -2.2360908 -0.3930113
## [25] -2.3957911 -0.2977329 -1.4533578 -1.4072936 -2.0794670 1.8049062
## [31] 1.5258843 3.6617309 3.8680214 -2.0412347 0.4626366 0.3866172
## [37] 5.8044209 -2.2201075 -0.4444399 -2.1377634 -2.1399921 -2.0933531
## [43] 4.5931692 -1.6871195 2.8164681 -2.5644101 -2.0585439 -2.6629664
## [49] 0.6723405 4.4534434 4.1610574 5.3832639 -1.6933290 -2.5382040
## [55] -2.4107280 -2.1198776 5.3413842 -1.8967301 -1.5487724 -2.1396917
## [61] -1.7628668 4.1335815 5.0872100 3.6031291 -1.8040730 4.9799740
## [67] -0.9850500 -1.5123666 -0.5770878 -1.7964678 -2.1354643 2.3798401
## [73] 5.9776544 -2.2009657 -2.4395272 4.0615507 -1.3941153 -2.3882306
## [79] -2.2799115 4.6054080 -1.5516203 -0.4367249 -1.5615449 4.0790976
## [85] 1.0917225 3.7139508 -1.8139512 -1.1749955 -1.6831395 -1.5614355
## [91] -1.9565894 -0.1425388 -1.0454574 -2.1128182 4.9182020 -1.6631032
## [97] -2.3185501 -1.6734295 -1.6233100 -1.5638780 3.3149668 4.7828809
## [103] -1.55053363.2 Explore
3.2.0.1 Distributions - clr transformed
Open code
check <- data_microbiome_original %>%
dplyr::select(-c(Sample:Diet)
) %>%
na.omit()
size = c(8, 7)
par(mfrow = c(size[1],size[2]))
par(mar=c(2,1.5,2,0.5))
set.seed(16)
ran <- sample(1:ncol(check), size[1]*size[2], replace = FALSE)
for(x in ran){
hist(check[,x],
16,
col='blue',
main = paste0(colnames(check)[x])
)
}
3.2.0.2 Taxon proportions accross groups
Open code
colo <- c('#329243', '#F9FFAF')
data_merged <- na.omit(data_merged)
outcomes <- common_microbiome[
sample(
1:length(common_microbiome), 35, replace = FALSE
)
]
boxplot_cond <- function(variable) {
p <- ggboxplot(data_merged,
x = 'Diet',
y = variable,
fill = 'Diet',
tip.length = 0.15,
palette = colo,
outlier.shape = 1,
lwd = 0.25,
outlier.size = 0.8,
facet.by = 'Data',
title = variable,
ylab = 'CLR(taxa proportion)') +
theme(
plot.title = element_text(size = 10),
axis.title = element_text(size = 8),
axis.text.y = element_text(size = 7),
axis.text.x = element_blank(),
axis.title.x = element_blank()
)
return(p)
}
# Plot all outcomes
plots <- map(outcomes, boxplot_cond)
# Create a matrix of plots
plots_arranged <- ggarrange(plotlist = plots, ncol = 5, nrow = 7, common.legend = TRUE)
plots_arranged
4 Linear models across taxa
We will fit a feature-specific linear model where the CLR-transformed count of bacteria reads represents the outcome variable whereas country (Italy vs Czech), diet (vegan vs omnivore), and their interaction (country:diet) all represent fixed-effects predictors. So, each model has the following form
\[ CLR({N_i}) = \alpha + \beta_{1} \times country + \beta_{2} \times diet + \beta_{3} \times country:diet + \epsilon \] where \(N_i\) is read count of \(i\)-th bacteria taxa
The variables were coded as follows: \(diet = -0.5\) for omnivores and \(diet = 0.5\) for vegans; \(country = -0.5\) for the Czech cohort and \(country = 0.5\) for the Italian cohort.
This parameterization allows us to interpret the linear model summary output as presenting the conditional effects of diet averaged across both countries and the conditional effects of country averaged across both diet groups. We will then use the emmeans package (Lenth 2024) to obtain specific estimates for the effect of diet in the Italian and Czech cohorts separately, still from a single model.
Taxa that will show a significant diet effect (average effect of diet across both countries, adjusted for multiple comparisons with FDR < 0.05) will be then visualized using a forest plot, with country-specific diet effect along with diet effect based on independent validation cohort, to evaluate how generalizable these findings are (see external validation section).
Note that p-value for avg effects are the same as produced with car::Anova(model, type = 'III').
4.1 Select data
Open code
data_analysis <- data_microbiome_original %>%
na.omit() %>%
dplyr::mutate(
Diet_VEGAN = as.numeric(
dplyr::if_else(
Diet == "VEGAN", 0.5, -0.5
)
),
Country_IT = as.numeric(
dplyr::if_else(
Country == "IT", 0.5, -0.5
)
)
) %>%
dplyr::select(
Sample,
Country,
Country_IT,
Diet,
Diet_VEGAN,
dplyr::everything()
)
summary(data_analysis[ , 1:12])
## Sample Country Country_IT Diet
## Length:166 Length:166 Min. :-0.50000 Length:166
## Class :character Class :character 1st Qu.:-0.50000 Class :character
## Mode :character Mode :character Median :-0.50000 Mode :character
## Mean :-0.03012
## 3rd Qu.: 0.50000
## Max. : 0.50000
## Diet_VEGAN Bacteroides_stercoris|SGB1830 Alistipes_putredinis|SGB2318
## Min. :-0.50000 Min. :-4.8322 Min. :-5.438
## 1st Qu.:-0.50000 1st Qu.:-3.6490 1st Qu.: 3.908
## Median : 0.50000 Median :-1.3277 Median : 6.130
## Mean : 0.08434 Mean : 0.5654 Mean : 4.703
## 3rd Qu.: 0.50000 3rd Qu.: 4.7830 3rd Qu.: 7.159
## Max. : 0.50000 Max. : 9.4417 Max. : 9.897
## Candidatus_Cibionibacter_quicibialis|SGB15286 Bacteroides_uniformis|SGB1836
## Min. :-2.250 Min. :-3.273
## 1st Qu.: 4.278 1st Qu.: 4.743
## Median : 5.405 Median : 6.158
## Mean : 5.113 Mean : 5.964
## 3rd Qu.: 6.447 3rd Qu.: 7.395
## Max. : 9.195 Max. :10.043
## Eubacterium_siraeum|SGB4198 GGB9602_SGB15031|SGB15031
## Min. :-5.694 Min. :-4.2797
## 1st Qu.:-4.539 1st Qu.:-2.6107
## Median :-2.937 Median : 0.3740
## Mean :-1.269 Mean : 0.5761
## 3rd Qu.: 2.030 3rd Qu.: 3.4878
## Max. : 6.338 Max. : 8.0727
## Phocaeicola_vulgatus|SGB1814
## Min. :-3.802
## 1st Qu.: 4.296
## Median : 5.775
## Mean : 5.483
## 3rd Qu.: 7.100
## Max. :10.5194.1.1 Define number of microbiome and covariates
Open code
n_covarites <- 5
n_features <- ncol(data_analysis) - n_covarites4.1.2 Create empty objects
Open code
outcome <- vector('double', n_features)
est_VGdiet_inCZ <- vector('double', n_features)
est_VGdiet_inIT <- vector('double', n_features)
est_VGdiet_avg <- vector('double', n_features)
est_ITcountry_avg <- vector('double', n_features)
diet_country_int <- vector('double', n_features)
P_VGdiet_inCZ <- vector('double', n_features)
P_VGdiet_inIT <- vector('double', n_features)
P_VGdiet_avg <- vector('double', n_features)
P_ITcountry_avg <- vector('double', n_features)
P_diet_country_int <- vector('double', n_features)
CI_L_VGdiet_inCZ <- vector('double', n_features)
CI_L_VGdiet_inIT <- vector('double', n_features)
CI_L_VGdiet_avg <- vector('double', n_features)
CI_U_VGdiet_inCZ <- vector('double', n_features)
CI_U_VGdiet_inIT <- vector('double', n_features)
CI_U_VGdiet_avg <- vector('double', n_features)4.1.3 Estimate over outcomes
Open code
for (i in 1:n_features) {
## define variable
data_analysis$outcome <- data_analysis[, (i + n_covarites)]
## fit model
model <- lm(outcome ~ Country_IT * Diet_VEGAN, data = data_analysis)
## get contrast (effects of diet BY COUNTRY)
contrast_emm <- summary(
pairs(
emmeans(
model,
specs = ~ Diet_VEGAN | Country_IT
),
interaction = TRUE,
adjust = "none"
),
infer = c(TRUE, TRUE)
)
## save results
outcome[i] <- names(data_analysis)[i + n_covarites]
## country effect
est_ITcountry_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT"
), 1
]
P_ITcountry_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT"
), 4
]
## diet effect
tr <- confint(model)
CI_L_VGdiet_avg[i] <- tr[which(row.names(tr) == 'Diet_VEGAN'),][1]
CI_U_VGdiet_avg[i] <- tr[which(row.names(tr) == 'Diet_VEGAN'),][2]
est_VGdiet_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_VEGAN"
), 1
]
P_VGdiet_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_VEGAN"
), 4
]
est_VGdiet_inCZ[i] <- -contrast_emm[1,3]
P_VGdiet_inCZ[i] <- contrast_emm$p.value[1]
CI_L_VGdiet_inCZ[i] <- -contrast_emm$upper.CL[1]
CI_U_VGdiet_inCZ[i] <- -contrast_emm$lower.CL[1]
est_VGdiet_inIT[i] <- -contrast_emm[2,3]
P_VGdiet_inIT[i] <- contrast_emm$p.value[2]
CI_L_VGdiet_inIT[i] <- -contrast_emm$upper.CL[2]
CI_U_VGdiet_inIT[i] <- -contrast_emm$lower.CL[2]
## interaction
diet_country_int[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT:Diet_VEGAN"
), 1
]
P_diet_country_int[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT:Diet_VEGAN"
), 4
]
}4.1.4 Results table
Open code
result_microbiome <- data.frame(
outcome,
est_ITcountry_avg, P_ITcountry_avg,
est_VGdiet_avg, P_VGdiet_avg,
est_VGdiet_inCZ, P_VGdiet_inCZ,
est_VGdiet_inIT, P_VGdiet_inIT,
diet_country_int, P_diet_country_int,
CI_L_VGdiet_avg, CI_U_VGdiet_avg,
CI_L_VGdiet_inCZ, CI_U_VGdiet_inCZ,
CI_L_VGdiet_inIT, CI_U_VGdiet_inIT
)4.1.5 Adjust p values
Open code
result_microbiome <- result_microbiome %>%
dplyr::mutate(
fdr_ITcountry_avg = p.adjust(P_ITcountry_avg, method = 'BH'),
fdr_VGdiet_avg = p.adjust(P_VGdiet_avg, method = 'BH'),
fdr_VGdiet_inCZ = p.adjust(P_VGdiet_inCZ, method = 'BH'),
fdr_VGdiet_inIT = p.adjust(P_VGdiet_inIT, method = 'BH'),
fdr_diet_country_int = p.adjust(P_diet_country_int, method = 'BH')
) %>%
dplyr::select(
outcome,
est_ITcountry_avg, P_ITcountry_avg, fdr_ITcountry_avg,
est_VGdiet_avg, P_VGdiet_avg, fdr_VGdiet_avg,
est_VGdiet_inCZ, P_VGdiet_inCZ, fdr_VGdiet_inCZ,
est_VGdiet_inIT, P_VGdiet_inIT, fdr_VGdiet_inIT,
diet_country_int, P_diet_country_int, fdr_diet_country_int,
CI_L_VGdiet_avg, CI_U_VGdiet_avg,
CI_L_VGdiet_inCZ, CI_U_VGdiet_inCZ,
CI_L_VGdiet_inIT, CI_U_VGdiet_inIT
)4.1.6 Show and save results
Open code
kableExtra::kable(result_microbiome %>% filter(fdr_VGdiet_avg < 0.05),
caption = "Results of linear models, modeling the CLR-transformed relative abundance of a given taxon as the outcome, with `Diet`, `Country`, and `Diet x Country` interaction as fixed-effect predictors. Only taxa whose CLR-transformed relative abundance differs between diets (FDR < 0.05, average diet effect across both countries) are shown. `est` prefix: denotes estimated effects (regression coefficients), i.e., how much CLR-transformed relative abundance differs in vegans compared to omnivores and in the Italian cohort vs. the Czech cohort, respectively; `P`: p-value; `fdr`: p-value after adjustment for multiple comparisons; `CI_L` and `CI_U`: lower and upper bounds of the 95% confidence interval. `avg` suffix denotes effects averaged across subgroups, whereas `inCZ` and `inIT` denote effects in the Czech or Italian cohort, respectively. Interaction effects are reported as `diet_country_int` (difference in the effects of a vegan diet between the Italian and Czech cohorts; positive values indicate a stronger effect in the Italian, negative values a stronger effect in the Czech cohort) and `P_diet_country_int` (its p-value). All estimates in a single row are based on a single model"
)| outcome | est_ITcountry_avg | P_ITcountry_avg | fdr_ITcountry_avg | est_VGdiet_avg | P_VGdiet_avg | fdr_VGdiet_avg | est_VGdiet_inCZ | P_VGdiet_inCZ | fdr_VGdiet_inCZ | est_VGdiet_inIT | P_VGdiet_inIT | fdr_VGdiet_inIT | diet_country_int | P_diet_country_int | fdr_diet_country_int | CI_L_VGdiet_avg | CI_U_VGdiet_avg | CI_L_VGdiet_inCZ | CI_U_VGdiet_inCZ | CI_L_VGdiet_inIT | CI_U_VGdiet_inIT |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Escherichia_coli|SGB10068 | 0.2619264 | 0.5866636 | 0.6604881 | -1.6056687 | 0.0010415 | 0.0124560 | -1.7212276 | 0.0123629 | 0.1114726 | -1.4901099 | 0.0297547 | 0.2433353 | 0.2311177 | 0.8103673 | 0.9929048 | -2.5551229 | -0.6562146 | -3.0647170 | -0.3777381 | -2.8320819 | -0.1481379 |
| Bacteroides_clarus|SGB1832 | 1.9131572 | 0.0002848 | 0.0008431 | -1.9852453 | 0.0001701 | 0.0031781 | -1.6674895 | 0.0236093 | 0.1534603 | -2.3030012 | 0.0018864 | 0.0961993 | -0.6355117 | 0.5386671 | 0.9929048 | -3.0036467 | -0.9668440 | -3.1085401 | -0.2264388 | -3.7424241 | -0.8635783 |
| Hydrogenoanaerobacterium_saccharovorans|SGB15350 | 1.5011518 | 0.0012291 | 0.0032813 | -1.3582916 | 0.0033582 | 0.0313785 | -1.3329832 | 0.0405517 | 0.2090509 | -1.3835999 | 0.0334061 | 0.2561137 | -0.0506167 | 0.9558340 | 0.9929048 | -2.2592946 | -0.4572885 | -2.6079137 | -0.0580527 | -2.6570904 | -0.1101095 |
| GGB6649_SGB9391|SGB9391 | 0.2325600 | 0.5179518 | 0.6002620 | 1.0140390 | 0.0053203 | 0.0418620 | 1.7803147 | 0.0005900 | 0.0117612 | 0.2477634 | 0.6259425 | 0.9452363 | -1.5325513 | 0.0342745 | 0.5717111 | 0.3052515 | 1.7228266 | 0.7773715 | 2.7832579 | -0.7540470 | 1.2495737 |
| Ruthenibacterium_lactatiformans|SGB15271 | 0.9036294 | 0.0030971 | 0.0073356 | -0.8414746 | 0.0057914 | 0.0444010 | -1.5432722 | 0.0003871 | 0.0100784 | -0.1396771 | 0.7430182 | 0.9689172 | 1.4035951 | 0.0209147 | 0.5717111 | -1.4356716 | -0.2472776 | -2.3840684 | -0.7024759 | -0.9795236 | 0.7001695 |
| Lawsonibacter_asaccharolyticus|SGB15154 | 2.8249857 | 0.0000000 | 0.0000000 | -1.5247873 | 0.0000971 | 0.0023730 | -1.9303765 | 0.0004595 | 0.0105548 | -1.1191981 | 0.0394843 | 0.2775605 | 0.8111784 | 0.2892321 | 0.9724308 | -2.2780362 | -0.7715384 | -2.9962332 | -0.8645198 | -2.1838509 | -0.0545454 |
| Clostridium_fessum|SGB4705 | -1.6158900 | 0.0000443 | 0.0001577 | -1.1006841 | 0.0048020 | 0.0398833 | -1.1368423 | 0.0384349 | 0.2063733 | -1.0645259 | 0.0521082 | 0.3314966 | 0.0723164 | 0.9252760 | 0.9929048 | -1.8607983 | -0.3405699 | -2.2124133 | -0.0612713 | -2.1388820 | 0.0098303 |
| GGB9707_SGB15229|SGB15229 | 0.6452823 | 0.0445093 | 0.0756152 | 1.0866666 | 0.0008197 | 0.0106555 | 0.9548967 | 0.0357238 | 0.2054116 | 1.2184364 | 0.0075553 | 0.1328848 | 0.2635397 | 0.6797760 | 0.9929048 | 0.4574080 | 1.7159252 | 0.0644880 | 1.8453055 | 0.3290334 | 2.1078395 |
| Lachnospiraceae_bacterium_AM48_27BH|SGB4706 | -1.1131285 | 0.0045403 | 0.0102071 | 1.2676366 | 0.0012809 | 0.0147307 | 1.6523047 | 0.0029449 | 0.0463439 | 0.8829685 | 0.1082011 | 0.4901839 | -0.7693361 | 0.3214104 | 0.9724308 | 0.5039082 | 2.0313650 | 0.5716194 | 2.7329899 | -0.1964961 | 1.9624331 |
| GGB9509_SGB14906|SGB14906 | 1.0817985 | 0.0089485 | 0.0182013 | -1.6543521 | 0.0000804 | 0.0023730 | -1.5741131 | 0.0072217 | 0.0835575 | -1.7345911 | 0.0031102 | 0.0961993 | -0.1604780 | 0.8446550 | 0.9929048 | -2.4617079 | -0.8469964 | -2.7165316 | -0.4316946 | -2.8757193 | -0.5934630 |
| GGB45432_SGB63101|SGB63101 | 0.7232262 | 0.0088808 | 0.0181874 | -0.7958911 | 0.0040635 | 0.0368175 | -0.8984331 | 0.0212966 | 0.1415041 | -0.6933491 | 0.0742736 | 0.3998957 | 0.2050839 | 0.7077520 | 0.9929048 | -1.3350948 | -0.2566874 | -1.6614131 | -0.1354531 | -1.4554673 | 0.0687691 |
| GGB2653_SGB3574|SGB3574 | 0.0113250 | 0.9753715 | 0.9753715 | -1.4691557 | 0.0000921 | 0.0023730 | -1.8428969 | 0.0004942 | 0.0105548 | -1.0954145 | 0.0358765 | 0.2681768 | 0.7474824 | 0.3090608 | 0.9724308 | -2.1924343 | -0.7458771 | -2.8663451 | -0.8194487 | -2.1177067 | -0.0731223 |
| Phocea_massiliensis|SGB14837 | 0.4892877 | 0.1130213 | 0.1698159 | -1.1101840 | 0.0004001 | 0.0058102 | -1.0621671 | 0.0155770 | 0.1164377 | -1.1582010 | 0.0083931 | 0.1348712 | -0.0960339 | 0.8759362 | 0.9929048 | -1.7165656 | -0.5038025 | -1.9202046 | -0.2041296 | -2.0152693 | -0.3011327 |
| Lachnospiraceae_bacterium|SGB4953 | -1.0110542 | 0.0196470 | 0.0376567 | 1.8996297 | 0.0000175 | 0.0007650 | 2.0042382 | 0.0011843 | 0.0208299 | 1.7950211 | 0.0035391 | 0.0961993 | -0.2092171 | 0.8076874 | 0.9929048 | 1.0523587 | 2.7469007 | 0.8053392 | 3.2031372 | 0.5974763 | 2.9925660 |
| Holdemania_filiformis|SGB4046 | -0.8713113 | 0.0335927 | 0.0590836 | -1.2995237 | 0.0016731 | 0.0185275 | -2.2053986 | 0.0001804 | 0.0079526 | -0.3936488 | 0.4942922 | 0.8905572 | 1.8117499 | 0.0272454 | 0.5717111 | -2.1023519 | -0.4966955 | -3.3414106 | -1.0693867 | -1.5283776 | 0.7410800 |
| Anaeromassilibacillus_senegalensis|SGB14894 | 1.0587520 | 0.0067348 | 0.0142817 | -1.2016868 | 0.0021720 | 0.0223943 | -1.3537201 | 0.0141471 | 0.1114726 | -1.0496536 | 0.0559301 | 0.3474891 | 0.3040665 | 0.6939733 | 0.9929048 | -1.9633423 | -0.4400314 | -2.4314720 | -0.2759681 | -2.1261882 | 0.0268810 |
| Ruminococcus_sp_AF41_9|SGB25497 | -0.8299026 | 0.0411850 | 0.0707719 | 1.7828783 | 0.0000179 | 0.0007650 | 2.7832380 | 0.0000025 | 0.0001522 | 0.7825187 | 0.1716609 | 0.6497039 | -2.0007193 | 0.0141307 | 0.5281335 | 0.9865895 | 2.5791671 | 1.6564794 | 3.9099965 | -0.3429672 | 1.9080046 |
| Eubacterium_ramulus|SGB4959 | -2.2432627 | 0.0000000 | 0.0000003 | -1.3014646 | 0.0010277 | 0.0124560 | -1.5154793 | 0.0066098 | 0.0835575 | -1.0874499 | 0.0497902 | 0.3258371 | 0.4280295 | 0.5832078 | 0.9929048 | -2.0701289 | -0.5328003 | -2.6031489 | -0.4278097 | -2.1738909 | -0.0010088 |
| Youxingia_wuxianensis|SGB82503 | 0.2836651 | 0.4199975 | 0.5187690 | -1.0654123 | 0.0027893 | 0.0278003 | -1.7207509 | 0.0006765 | 0.0126413 | -0.4100738 | 0.4095044 | 0.8055383 | 1.3106771 | 0.0635956 | 0.7486670 | -1.7582618 | -0.3725628 | -2.7011416 | -0.7403602 | -1.3893571 | 0.5692096 |
| Blautia_massiliensis|SGB4826 | -3.9054717 | 0.0000000 | 0.0000000 | -1.7487130 | 0.0019052 | 0.0203449 | -1.6636803 | 0.0353443 | 0.2054116 | -1.8337457 | 0.0204108 | 0.2087421 | -0.1700654 | 0.8782097 | 0.9929048 | -2.8427577 | -0.6546682 | -3.2117672 | -0.1155933 | -3.3800841 | -0.2874073 |
| GGB9765_SGB15382|SGB15382 | 0.9724670 | 0.0052880 | 0.0115410 | -1.0403415 | 0.0028965 | 0.0279370 | -0.6868283 | 0.1601205 | 0.4949617 | -1.3938547 | 0.0046947 | 0.1169756 | -0.7070263 | 0.3055987 | 0.9724308 | -1.7195795 | -0.3611035 | -1.6479586 | 0.2743020 | -2.3538993 | -0.4338100 |
| GGB9770_SGB15390|SGB15390 | 1.1393138 | 0.0031158 | 0.0073356 | -1.1023969 | 0.0042003 | 0.0369375 | -1.1048957 | 0.0413047 | 0.2093238 | -1.0998980 | 0.0419905 | 0.2853448 | 0.0049977 | 0.9947562 | 0.9950745 | -1.8520565 | -0.3527372 | -2.1656735 | -0.0441180 | -2.1594776 | -0.0403184 |
| Ruminococcus_torques|SGB4608 | -2.5450549 | 0.0000002 | 0.0000009 | -2.9967166 | 0.0000000 | 0.0000002 | -4.0037248 | 0.0000000 | 0.0000008 | -1.9897083 | 0.0028797 | 0.0961993 | 2.0140166 | 0.0318587 | 0.5717111 | -3.9152587 | -2.0781744 | -5.3034734 | -2.7039763 | -3.2879887 | -0.6914278 |
| Agathobaculum_butyriciproducens|SGB14991 | -0.2799754 | 0.5736608 | 0.6497143 | 1.8298077 | 0.0003116 | 0.0049041 | 1.7918165 | 0.0116982 | 0.1114726 | 1.8677989 | 0.0085704 | 0.1348712 | 0.0759824 | 0.9391106 | 0.9929048 | 0.8492138 | 2.8104015 | 0.4042640 | 3.1793691 | 0.4818136 | 3.2537841 |
| Clostridium_SGB48024|SGB48024 | 0.3495793 | 0.4685239 | 0.5603545 | 1.8824245 | 0.0001341 | 0.0027026 | 2.0858928 | 0.0025593 | 0.0425134 | 1.6789563 | 0.0145882 | 0.1671720 | -0.4069364 | 0.6729259 | 0.9929048 | 0.9323470 | 2.8325021 | 0.7415212 | 3.4302643 | 0.3361033 | 3.0218094 |
| GGB9531_SGB14932|SGB14932 | 0.6741149 | 0.0481296 | 0.0812355 | -1.2220355 | 0.0004081 | 0.0058102 | -1.0267774 | 0.0335676 | 0.2007343 | -1.4172937 | 0.0035162 | 0.0961993 | -0.3905163 | 0.5648881 | 0.9929048 | -1.8905380 | -0.5535330 | -1.9727167 | -0.0808380 | -2.3621646 | -0.4724228 |
| Oscillibacter_valericigenes|SGB15076 | 2.2693025 | 0.0000001 | 0.0000007 | -1.5455775 | 0.0002310 | 0.0038371 | -0.3939028 | 0.4984511 | 0.7655611 | -2.6972522 | 0.0000068 | 0.0020399 | -2.3033494 | 0.0056168 | 0.3358826 | -2.3558148 | -0.7353402 | -1.5403986 | 0.7525931 | -3.8424531 | -1.5520513 |
| GGB9616_SGB15052|SGB15052 | 0.1922882 | 0.6243555 | 0.6939863 | 1.5604516 | 0.0001032 | 0.0023730 | 1.3778329 | 0.0139910 | 0.1114726 | 1.7430703 | 0.0019661 | 0.0961993 | 0.3652374 | 0.6418749 | 0.9929048 | 0.7865111 | 2.3343920 | 0.2826975 | 2.4729683 | 0.6491719 | 2.8369687 |
| GGB58158_SGB79798|SGB79798 | -0.0395133 | 0.9036721 | 0.9285153 | -0.9249820 | 0.0051278 | 0.0414382 | -1.2410264 | 0.0078830 | 0.0858020 | -0.6089377 | 0.1881529 | 0.6772633 | 0.6320887 | 0.3337315 | 0.9724308 | -1.5687010 | -0.2812631 | -2.1518967 | -0.3301560 | -1.5187792 | 0.3009038 |
| Enterocloster_hominis|SGB4721 | -0.4611836 | 0.2485952 | 0.3190128 | -1.6735473 | 0.0000436 | 0.0014488 | -2.1154645 | 0.0002425 | 0.0080565 | -1.2316301 | 0.0301117 | 0.2433353 | 0.8838345 | 0.2688329 | 0.9724308 | -2.4600398 | -0.8870548 | -3.2283612 | -1.0025678 | -2.3432697 | -0.1199904 |
| Streptococcus_thermophilus|SGB8002 | -1.9892533 | 0.0000000 | 0.0000001 | -2.6523655 | 0.0000000 | 0.0000000 | -4.2589263 | 0.0000000 | 0.0000000 | -1.0458046 | 0.0256343 | 0.2433353 | 3.2131217 | 0.0000024 | 0.0007185 | -3.3010343 | -2.0036966 | -5.1768008 | -3.3410518 | -1.9626424 | -0.1289669 |
| Blautia_obeum|SGB4810 | -1.2227533 | 0.0022206 | 0.0055796 | 1.8263749 | 0.0000071 | 0.0005271 | 2.8583481 | 0.0000008 | 0.0000597 | 0.7944017 | 0.1549579 | 0.6177656 | -2.0639464 | 0.0095315 | 0.4749853 | 1.0496396 | 2.6031103 | 1.7592579 | 3.9574383 | -0.3034471 | 1.8922505 |
| GGB51884_SGB49168|SGB49168 | 0.1489066 | 0.6616867 | 0.7247045 | 1.2130993 | 0.0004677 | 0.0063559 | 1.3067445 | 0.0072659 | 0.0835575 | 1.1194540 | 0.0209440 | 0.2087421 | -0.1872905 | 0.7831313 | 0.9929048 | 0.5423556 | 1.8838430 | 0.3576339 | 2.2558552 | 0.1714154 | 2.0674927 |
| Roseburia_lenta|SGB4957 | -1.4433630 | 0.0000086 | 0.0000362 | 1.7438636 | 0.0000001 | 0.0000112 | 2.9096930 | 0.0000000 | 0.0000001 | 0.5780342 | 0.1946353 | 0.6772633 | -2.3316588 | 0.0002817 | 0.0421119 | 1.1237786 | 2.3639486 | 2.0322650 | 3.7871210 | -0.2984027 | 1.4544712 |
| GGB3288_SGB4342|SGB4342 | -0.3043170 | 0.4247255 | 0.5187690 | 1.4470612 | 0.0002004 | 0.0035245 | 1.9437150 | 0.0004045 | 0.0100784 | 0.9504073 | 0.0788960 | 0.4138580 | -0.9933077 | 0.1933818 | 0.9594504 | 0.6961415 | 2.1979808 | 0.8811543 | 3.0062757 | -0.1109532 | 2.0117678 |
| GGB9574_SGB14987|SGB14987 | 0.6979519 | 0.0760440 | 0.1235716 | 1.1288124 | 0.0044098 | 0.0376722 | 0.8497545 | 0.1264137 | 0.4308016 | 1.4078702 | 0.0117570 | 0.1671720 | 0.5581157 | 0.4763145 | 0.9929048 | 0.3569149 | 1.9007099 | -0.2424901 | 1.9419991 | 0.3168594 | 2.4988811 |
| Clostridiaceae_unclassified_SGB4771|SGB4771 | -0.0888094 | 0.8522123 | 0.8878449 | 2.1375079 | 0.0000134 | 0.0007650 | 1.8328628 | 0.0072095 | 0.0835575 | 2.4421530 | 0.0003793 | 0.0567018 | 0.6092902 | 0.5230257 | 0.9929048 | 1.1976428 | 3.0773730 | 0.5029420 | 3.1627836 | 1.1137344 | 3.7705716 |
| Lachnospiraceae_bacterium_OM04_12BH|SGB4893 | -0.6037329 | 0.1247910 | 0.1811286 | 1.6753589 | 0.0000317 | 0.0011836 | 2.1178834 | 0.0001862 | 0.0079526 | 1.2328344 | 0.0271771 | 0.2433353 | -0.8850489 | 0.2597427 | 0.9724308 | 0.9026890 | 2.4480288 | 1.0245459 | 3.2112209 | 0.1407319 | 2.3249370 |
| GGB9616_SGB15051|SGB15051 | 0.0491406 | 0.9109482 | 0.9296024 | 1.7151507 | 0.0001356 | 0.0027026 | 1.5312508 | 0.0146741 | 0.1125016 | 1.8990506 | 0.0025687 | 0.0961993 | 0.3677999 | 0.6756214 | 0.9929048 | 0.8488687 | 2.5814327 | 0.3054509 | 2.7570507 | 0.6746353 | 3.1234660 |
Open code
if(file.exists('gitignore/lm_results/result_microbiome_SGB30.csv') == FALSE){
write.table(result_microbiome,
'gitignore/lm_results/result_microbiome_SGB30.csv', row.names = FALSE)
}
dim(result_microbiome %>% filter(fdr_VGdiet_avg < 0.05))
## [1] 39 225 Elastic net
To assess the predictive power of microbiome features to discriminate between diet strategy, we employed Elastic Net logistic regression.
As we expected very high level of co-linearity, we allowed \(alpha\) to rather small (0, 0.2 or 0.4).
The performance of the predictive models was evaluated through their capacity of discriminate between vegan and omnivore diets, using out-of-sample area under ROC curve (AUC; estimated with out-of-bag bootstrap) as the measure of discriminatory capacity.
All features were transformed by 2 standard deviations (resulting in standard deviation of 0.5).
5.1 Prepare data for glmnet
Open code
data_microbiome_glmnet <- data_microbiome_original %>%
na.omit() %>%
dplyr::mutate(
vegan = as.numeric(
dplyr::if_else(
Diet == "VEGAN", 1, 0
)
),
dplyr::across(
`Bacteroides_stercoris|SGB1830`:`Clostridiaceae_unclassified_SGB4771|SGB4771`,
~ arm::rescale(.)
)
) %>%
dplyr::select(
vegan,Country,
dplyr::everything()
) %>%
dplyr::select(
Sample, vegan, Country,
`Bacteroides_stercoris|SGB1830`:`Clostridiaceae_unclassified_SGB4771|SGB4771`
)5.2 Fit model
Open code
modelac <- "elanet_microbiome_SGB30"
assign(
modelac,
run(
expr = clust_glmnet_sep(
data = data_microbiome_glmnet,
outcome = "vegan",
clust_id = "Sample",
sample_method = "oos_boot",
N = 500,
alphas = c(0, 0.2, 0.4),
family = "binomial",
seed = 478
),
path = paste0("gitignore/run/", modelac)
)
)5.3 Model summary
Open code
elanet_microbiome_SGB30$model_summary
## alpha lambda auc auc_OutOfSample auc_oos_CIL auc_oos_CIU accuracy
## 1 0.4 0.02773441 0.9952189 0.887315 0.8047796 0.9523366 0.9759036
## accuracy_OutOfSample accuracy_oos_CIL accuracy_oos_CIU
## 1 0.7973382 0.6949153 0.8833333
elanet_microbiome_SGB30$country_AUC
## auc_OutOfSample_IT auc_oos_CIL_IT auc_oos_CIU_IT auc_OutOfSample_CZ
## 1 0.8056122 0.6605469 0.9236888 0.9428794
## auc_oos_CIL_CZ auc_oos_CIU_CZ
## 1 0.850783 15.4 ROC curve - internal validation
Open code
elanet_microbiome_SGB30$plot
5.5 Estimated coefficients
Open code
data.frame(
microbiome = row.names(
elanet_microbiome_SGB30$betas
)[
which(
abs(
elanet_microbiome_SGB30$betas
)>0
)
],
beta = elanet_microbiome_SGB30$betas[
abs(
elanet_microbiome_SGB30$betas
)>0
]
) %>%
mutate(
is_in_ExtValCoh = if_else(
microbiome %in% names(data_microbiome_validation),
1, 0
)
)
## microbiome beta
## 1 (Intercept) 0.564498328
## 2 GGB9602_SGB15031|SGB15031 -0.050575163
## 3 Phocaeicola_vulgatus|SGB1814 0.028735639
## 4 Parabacteroides_distasonis|SGB1934 0.090984199
## 5 Faecalibacterium_prausnitzii|SGB15339 0.128597925
## 6 Dialister_invisus|SGB5825_group 0.051028446
## 7 GGB33469_SGB15236|SGB15236 -0.021033530
## 8 Bacteroides_eggerthii|SGB1829 -0.239198334
## 9 GGB3175_SGB4191|SGB4191 -0.114908598
## 10 Lachnospira_pectinoschiza|SGB5075 -0.322160033
## 11 Bacteroides_clarus|SGB1832 -0.385086576
## 12 Anaerotignum_faecicola|SGB5190 -0.234888794
## 13 Hydrogenoanaerobacterium_saccharovorans|SGB15350 -0.306700839
## 14 Bacteroides_faecis|SGB1860 0.034365203
## 15 Roseburia_hominis|SGB4936 0.030152264
## 16 GGB9712_SGB15244|SGB15244 -0.005110184
## 17 Bacteroides_ovatus|SGB1871 0.259354872
## 18 GGB9614_SGB15049|SGB15049 0.077383387
## 19 Barnesiella_intestinihominis|SGB1965 -0.099142678
## 20 Agathobaculum_butyriciproducens|SGB14993 0.121857938
## 21 GGB6649_SGB9391|SGB9391 0.278958714
## 22 Ruminococcus_bromii|SGB4285 0.079729289
## 23 Lawsonibacter_asaccharolyticus|SGB15154 -0.104282749
## 24 Clostridium_fessum|SGB4705 -0.281417507
## 25 Clostridium_sp_AF36_4|SGB4644 0.147235148
## 26 GGB9707_SGB15229|SGB15229 0.161051651
## 27 Phocaeicola_dorei|SGB1815 -0.052381703
## 28 GGB9502_SGB14899|SGB14899 -0.107431320
## 29 Lachnospiraceae_bacterium_AM48_27BH|SGB4706 0.142752425
## 30 GGB9619_SGB15067|SGB15067 -0.057328862
## 31 GGB9509_SGB14906|SGB14906 -0.339977572
## 32 GGB2653_SGB3574|SGB3574 -0.209202356
## 33 Lachnospiraceae_bacterium|SGB4781 -0.119275863
## 34 Phocea_massiliensis|SGB14837 -0.137873995
## 35 Guopingia_tenuis|SGB14127 -0.142604384
## 36 Lachnospiraceae_bacterium|SGB4953 0.182716684
## 37 Blautia_SGB4815|SGB4815 -0.203040322
## 38 Holdemania_filiformis|SGB4046 -0.162509820
## 39 Anaeromassilibacillus_senegalensis|SGB14894 -0.092177287
## 40 Lachnospira_pectinoschiza|SGB5089 0.062808523
## 41 Ruminococcus_sp_AF41_9|SGB25497 0.416188098
## 42 Eubacterium_ramulus|SGB4959 -0.266997099
## 43 Enterocloster_lavalensis|SGB4725 0.134033402
## 44 Youxingia_wuxianensis|SGB82503 -0.126338803
## 45 Intestinimonas_gabonensis|SGB79840 0.011811531
## 46 GGB9765_SGB15382|SGB15382 -0.245596546
## 47 Coprobacter_secundus|SGB1962 -0.017989664
## 48 GGB3510_SGB4687|SGB4687 0.148626169
## 49 Mediterraneibacter_faecis|SGB4563 -0.303790368
## 50 Ruminococcus_torques|SGB4608 -0.545900784
## 51 Eubacterium_ventriosum|SGB5045 0.167531498
## 52 GGB9758_SGB15368|SGB15368 -0.036613335
## 53 GGB3304_SGB4367|SGB4367 0.054870058
## 54 Agathobaculum_butyriciproducens|SGB14991 0.195509836
## 55 GGB9296_SGB14253|SGB14253 0.047061326
## 56 Slackia_isoflavoniconvertens|SGB14773 0.017678966
## 57 Anaerotruncus_massiliensis|SGB14965 -0.079783612
## 58 GGB9531_SGB14932|SGB14932 -0.386681608
## 59 Oscillibacter_valericigenes|SGB15076 -0.350829352
## 60 Anaerostipes_hadrus|SGB4547 0.024870355
## 61 GGB9616_SGB15052|SGB15052 0.043708600
## 62 GGB9524_SGB14924|SGB14924 0.022894888
## 63 Segatella_copri|SGB1626 0.090057068
## 64 Mediterraneibacter_butyricigenes|SGB25493 0.121777045
## 65 Enterocloster_hominis|SGB4721 -0.258505538
## 66 Blautia_sp_OF03_15BH|SGB4779 -0.000955559
## 67 Streptococcus_thermophilus|SGB8002 -0.810455275
## 68 Blautia_obeum|SGB4810 0.348649793
## 69 GGB3480_SGB4648|SGB4648 -0.025623885
## 70 Anaerobutyricum_soehngenii|SGB4537 0.031514564
## 71 Bacteroides_xylanisolvens|SGB1867 0.043692859
## 72 GGB9708_SGB15233|SGB15233 0.105543680
## 73 GGB51884_SGB49168|SGB49168 0.186109970
## 74 Roseburia_lenta|SGB4957 0.477317205
## 75 GGB3288_SGB4342|SGB4342 0.316230925
## 76 GGB9574_SGB14987|SGB14987 0.403453173
## 77 Eubacterium_sp_AF34_35BH|SGB5051 -0.015643625
## 78 Clostridiaceae_unclassified_SGB4771|SGB4771 0.354566828
## is_in_ExtValCoh
## 1 0
## 2 1
## 3 1
## 4 1
## 5 1
## 6 1
## 7 1
## 8 1
## 9 1
## 10 1
## 11 1
## 12 1
## 13 1
## 14 1
## 15 1
## 16 1
## 17 1
## 18 1
## 19 1
## 20 1
## 21 1
## 22 1
## 23 1
## 24 1
## 25 1
## 26 1
## 27 1
## 28 1
## 29 1
## 30 1
## 31 1
## 32 1
## 33 1
## 34 1
## 35 1
## 36 1
## 37 1
## 38 1
## 39 1
## 40 1
## 41 1
## 42 1
## 43 1
## 44 1
## 45 1
## 46 1
## 47 1
## 48 1
## 49 1
## 50 1
## 51 1
## 52 1
## 53 1
## 54 1
## 55 1
## 56 1
## 57 1
## 58 1
## 59 1
## 60 1
## 61 1
## 62 1
## 63 1
## 64 1
## 65 1
## 66 1
## 67 1
## 68 1
## 69 1
## 70 1
## 71 1
## 72 1
## 73 1
## 74 1
## 75 1
## 76 1
## 77 1
## 78 15.6 Plot beta coefficients
Open code
elacoef <- data.frame(
microbiome = row.names(elanet_microbiome_SGB30$betas),
beta_ela = elanet_microbiome_SGB30$betas[, 1]
) %>%
arrange(abs(beta_ela)) %>%
filter(abs(beta_ela) > 0,
!grepl('Intercept', microbiome)) %>%
mutate(microbiome = factor(microbiome, levels = microbiome))
plotac <- "elanet_beta_microbiome_SGB30"
path <- "gitignore/figures"
assign(plotac,
ggplot(elacoef,
aes(
x = microbiome,
y = beta_ela
)
) +
geom_point() +
geom_hline(yintercept = 0, color = "black") +
labs(
y = "Standardized beta coefficients",
x = "Bacteria species"
) +
theme_minimal() +
coord_flip() +
theme(
axis.text.x = element_text(size = 10),
axis.text.y = element_text(size = 10),
axis.title.x = element_text(size = 12),
axis.title.y = element_text(size = 12),
legend.position = "bottom"
)
)
get(plotac)
Open code
if (file.exists(paste0(path, "/", plotac, ".svg")) == FALSE) {
ggsave(
path = paste0(path),
filename = plotac,
device = "svg",
width = 7,
height = 14
)
}6 External validation
External validation was performed with an independent Czech cohort.
As a first step, we will use the previously developed and internally validated elastic net model to predict vegan status in the independent Czech cohort. The validation data will be standardized using the mean and standard deviation of each taxa as taken from the training cohort to ensure comparability across datasets. For each subject in the external validation cohort, we will estimate the predicted probability of being vegan using the elastic net model. This predicted probability will then be used as a variable to discriminate between the diet groups in the independent cohort.
In a 2nd step, we will look at taxa that significantly differed between diet groups (average vegan diet effect across both countries, FDR < 0.05) estimated by linear models (one per a taxa) with data of training cohort. Then we will fit linear models also for external validation cohort. Effect of vegan diet on these taxa will be shown along with 95% confidence interval for all cohorts: training Czech and Italian cohorts, but also in Czech independent (validating) cohort
6.1 Prediction of diet (elastic net)
6.1.1 Get table of weights, means and SDs
Open code
coefs_microbiome_all <- get_coef(
original_data = data_analysis,
glmnet_model = elanet_microbiome_SGB30)
coefs_microbiome_all
## # A tibble: 295 × 5
## predictor beta_scaled beta_OrigScale mean SD
## <chr> <dbl> <dbl> <dbl> <dbl>
## 1 (Intercept) 0.564 NA NA NA
## 2 Bacteroides_stercoris|SGB1830 0 0 0.565 4.53
## 3 Alistipes_putredinis|SGB2318 0 0 4.70 3.87
## 4 Candidatus_Cibionibacter_quicibialis… 0 0 5.11 2.15
## 5 Bacteroides_uniformis|SGB1836 0 0 5.96 2.01
## 6 Eubacterium_siraeum|SGB4198 0 0 -1.27 3.66
## 7 GGB9602_SGB15031|SGB15031 -0.0506 -0.337 0.576 3.33
## 8 Phocaeicola_vulgatus|SGB1814 0.0287 0.151 5.48 2.63
## 9 Faecalibacterium_prausnitzii|SGB15316 0 0 5.08 2.09
## 10 Lachnospiraceae_bacterium_CLA_AA_H24… 0 0 3.30 1.72
## # ℹ 285 more rows6.1.3 Standardize data in validation set
Open code
data_microbiome_validation_pred_all <- data_microbiome_validation %>%
dplyr::mutate(
vegan = if_else(
Diet == "VEGAN", 1, 0
)
) %>%
dplyr::select(
vegan,
dplyr::all_of(common_predictors)
) %>%
dplyr::mutate(
across(
.cols = -vegan,
.fns = ~ .
- coefs_microbiome_all$mean[
match(
cur_column(),
coefs_microbiome_all$predictor
)
]
)
) %>%
dplyr::mutate(
across(
.cols = -vegan,
.fns = ~ .
/ coefs_microbiome_all$SD[
match(
cur_column(),
coefs_microbiome_all$predictor
)
]
)
) 6.1.4 Result
6.1.4.1 ROC curve
Open code
newx <- as.matrix(data_microbiome_validation_pred_all[,-1])
predicted <- predict(
elanet_microbiome_SGB30$fit,
newx = newx)
tr <- data_microbiome_validation_pred_all %>%
dplyr::mutate(
predicted_logit = as.numeric(
predict(
elanet_microbiome_SGB30$fit,
newx = newx
)
)
) %>%
dplyr::mutate(
predicted = inv_logit(predicted_logit)
)
roc_microbiome_all <- pROC::roc(
vegan ~ predicted_logit,
data = tr,
direction = "<",
levels = c(0, 1),
ci = TRUE
)
roc_microbiome_all
##
## Call:
## roc.formula(formula = vegan ~ predicted_logit, data = tr, direction = "<", levels = c(0, 1), ci = TRUE)
##
## Data: predicted_logit in 43 controls (vegan 0) < 59 cases (vegan 1).
## Area under the curve: 0.8786
## 95% CI: 0.8062-0.951 (DeLong)
plotac <- "roc_microbiom_SGB30"
path <- "gitignore/figures"
assign(plotac, ggroc(roc_microbiome_all))
get(plotac)
Open code
if (file.exists(paste0(path, "/", plotac, ".svg")) == FALSE) {
ggsave(
path = paste0(path),
filename = plotac,
device = "svg",
width = 6,
height = 4.5
)
}6.1.4.2 Table
Open code
mod <- elanet_microbiome_SGB30
trainAUC <- mean(mod[["valid_performances"]]$auc_resamp_test)
trainCI <- quantile(mod[["valid_performances"]]$auc_resamp_test,
probs = c(1 / 40, 39 / 40)
)
res <- data.frame(
alpha = c(mod$model_summary$alpha, rep("", 4)),
lambda = c(round(mod$model_summary$lambda, 4), rep("", 4)),
`performance type` = c(
"Training set AUC",
"Out-of-sample AUC (all)",
"Out-of-sample AUC (Czech)",
"Out-of-sample AUC (Italy)",
"External validation AUC"
),
`performance [95% CI]` = c(
sprintf("%.3f [%.3f to %.3f]", trainAUC, trainCI[1], trainCI[2]),
sprintf(
"%.3f [%.3f to %.3f]",
mod$model_summary$auc_OutOfSample,
mod$model_summary$auc_oos_CIL,
mod$model_summary$auc_oos_CIU
),
sprintf(
"%.3f [%.3f to %.3f]",
mod$country_AUC$auc_OutOfSample_CZ,
mod$country_AUC$auc_oos_CIL_CZ,
mod$country_AUC$auc_oos_CIU_CZ
),
sprintf(
"%.3f [%.3f to %.3f]",
mod$country_AUC$auc_OutOfSample_IT,
mod$country_AUC$auc_oos_CIL_IT,
mod$country_AUC$auc_oos_CIU_IT
),
sprintf(
"%.3f [%.3f to %.3f]",
roc_microbiome_all[["ci"]][2],
roc_microbiome_all[["ci"]][1],
roc_microbiome_all[["ci"]][3]
)
)
)
kableExtra::kable(
res %>% mutate(across(where(is.numeric), ~ round(.x, 3))),
caption = "Performance of the elastic‑net logistic regression model for discriminating vegan from omnivore status using CLR-transformed counts of bacteria reads. The model was developed on the combined training data (Czech and Italian cohorts), with the optimmized `alpha` (mixing parameter) and `lambda` (penalty strength) selected via 10-fold cross-validation. Internal validation employed 500 out‑of‑bag bootstrap resamples: the out‑of‑sample AUC is the mean across resamples, and its 95 % confidence interval (CI) is given by the 2.5th and 97.5th percentiles of the bootstrap distribution. The training‑set AUC and its CI were computed analogously from the in‑bag predictions. External validation was carried out on an independent Czech cohort; the reported AUC is the point estimate on that cohort, and its 95% CI was obtained with DeLong’s method."
)| alpha | lambda | performance.type | performance..95..CI. |
|---|---|---|---|
| 0.4 | 0.0277 | Training set AUC | 1.000 [0.999 to 1.000] |
| Out-of-sample AUC (all) | 0.887 [0.805 to 0.952] | ||
| Out-of-sample AUC (Czech) | 0.943 [0.851 to 1.000] | ||
| Out-of-sample AUC (Italy) | 0.806 [0.661 to 0.924] | ||
| External validation AUC | 0.879 [0.806 to 0.951] |
6.2 Diet effect across datasets
Similarly as in training data cohorts, we will fit linear model per each of the selected taxa (\(CLR\) - transformed), with a single fixed effect factor of diet.
6.2.1 Linear models in validation cohort
Open code
diet_sensitive_taxa <- result_microbiome %>%
filter(fdr_VGdiet_avg < 0.05) %>%
pull(outcome)
len <- length(diet_sensitive_taxa)
data_analysis_microbiome <- data_microbiome_validation %>%
dplyr::mutate(
Diet_VEGAN = as.numeric(
dplyr::if_else(
Diet == 'VEGAN', 1, 0
)
)
) %>%
dplyr::select(
Diet_VEGAN,
all_of(diet_sensitive_taxa)
)6.2.1.1 Define number of microbiome and covariates
Open code
n_covarites <- 1
n_features <- ncol(data_analysis_microbiome) - n_covarites6.2.1.2 Create empty objects
Open code
outcome <- vector('double', n_features)
est_VGdiet <- vector('double', n_features)
P_VGdiet <- vector('double', n_features)
CI_L_VGdiet <- vector('double', n_features)
CI_U_VGdiet <- vector('double', n_features)6.2.1.3 Estimate over outcomes
Open code
for (i in 1:n_features) {
## define variable
data_analysis_microbiome$outcome <- data_analysis_microbiome[, (i + n_covarites)]
## fit model
model <- lm(outcome ~ Diet_VEGAN, data = data_analysis_microbiome)
## save results
outcome[i] <- names(data_analysis_microbiome)[i + n_covarites]
## diet effect
tr <- confint(model)
CI_L_VGdiet[i] <- tr[which(row.names(tr) == "Diet_VEGAN"), ][1]
CI_U_VGdiet[i] <- tr[which(row.names(tr) == "Diet_VEGAN"), ][2]
est_VGdiet[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_VEGAN"
), 1
]
P_VGdiet[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_VEGAN"
), 4
]
}6.2.1.4 Results table
Open code
result_microbiome_val <- data.frame(
outcome,
est_VGdiet, P_VGdiet,
CI_L_VGdiet, CI_U_VGdiet
)
kableExtra::kable(result_microbiome_val,
caption = "Results of linear models estimating the effect of diet on the CLR-transformed relative abundance of a given taxon as the outcome. Only taxa whose relative abundance significantly differed between diet groups in training cohorts (FDR < 0.05, average effect across both training cohorts) were included. `est` represents the estimated effects (regression coefficient), indicating how much the CLR-transformed relative abundnace of a given differ between vegans and omnivores. `P`: p-value, `fdr`: p-value adjusted for multiple comparisons, and `CI_L` and `CI_U` represent the lower and upper bounds of the 95% confidence interval, respectively. All estimates in a single row are based on a single model"
)| outcome | est_VGdiet | P_VGdiet | CI_L_VGdiet | CI_U_VGdiet |
|---|---|---|---|---|
| Escherichia_coli|SGB10068 | -0.0678001 | 0.8780534 | -0.9422270 | 0.8066267 |
| Bacteroides_clarus|SGB1832 | -0.4474756 | 0.1501145 | -1.0596258 | 0.1646745 |
| Hydrogenoanaerobacterium_saccharovorans|SGB15350 | 0.0343774 | 0.8840093 | -0.4319367 | 0.5006916 |
| GGB6649_SGB9391|SGB9391 | 0.6707753 | 0.0619526 | -0.0341736 | 1.3757242 |
| Ruthenibacterium_lactatiformans|SGB15271 | -0.5139319 | 0.1557949 | -1.2268892 | 0.1990254 |
| Lawsonibacter_asaccharolyticus|SGB15154 | -2.0366512 | 0.0000022 | -2.8405092 | -1.2327932 |
| Clostridium_fessum|SGB4705 | 0.0036823 | 0.9877139 | -0.4695508 | 0.4769153 |
| GGB9707_SGB15229|SGB15229 | -0.2846691 | 0.5637032 | -1.2596309 | 0.6902926 |
| Lachnospiraceae_bacterium_AM48_27BH|SGB4706 | 0.2944198 | 0.1109060 | -0.0687547 | 0.6575944 |
| GGB9509_SGB14906|SGB14906 | -0.5158608 | 0.1075919 | -1.1461894 | 0.1144678 |
| GGB45432_SGB63101|SGB63101 | -0.3814408 | 0.3381234 | -1.1676982 | 0.4048166 |
| GGB2653_SGB3574|SGB3574 | -0.7110515 | 0.0637825 | -1.4636353 | 0.0415322 |
| Phocea_massiliensis|SGB14837 | -0.2249475 | 0.5453208 | -0.9603579 | 0.5104629 |
| Lachnospiraceae_bacterium|SGB4953 | 1.1093932 | 0.1054861 | -0.2379349 | 2.4567214 |
| Holdemania_filiformis|SGB4046 | -0.7909502 | 0.0051249 | -1.3392099 | -0.2426906 |
| Anaeromassilibacillus_senegalensis|SGB14894 | 0.1582383 | 0.6873362 | -0.6195266 | 0.9360031 |
| Ruminococcus_sp_AF41_9|SGB25497 | 1.5723968 | 0.0046260 | 0.4956389 | 2.6491548 |
| Eubacterium_ramulus|SGB4959 | -0.7821065 | 0.0023325 | -1.2787575 | -0.2854555 |
| Youxingia_wuxianensis|SGB82503 | -0.7728454 | 0.0336176 | -1.4845820 | -0.0611087 |
| Blautia_massiliensis|SGB4826 | -0.3538921 | 0.3462847 | -1.0958595 | 0.3880752 |
| GGB9765_SGB15382|SGB15382 | -0.3380327 | 0.4376177 | -1.1985609 | 0.5224954 |
| GGB9770_SGB15390|SGB15390 | -0.2149847 | 0.5654590 | -0.9546180 | 0.5246486 |
| Ruminococcus_torques|SGB4608 | -1.9375993 | 0.0002924 | -2.9616396 | -0.9135591 |
| Agathobaculum_butyriciproducens|SGB14991 | 0.4691300 | 0.2780519 | -0.3842585 | 1.3225185 |
| Clostridium_SGB48024|SGB48024 | 0.4767405 | 0.2762444 | -0.3872161 | 1.3406970 |
| GGB9531_SGB14932|SGB14932 | -0.6312664 | 0.0872877 | -1.3565383 | 0.0940056 |
| Oscillibacter_valericigenes|SGB15076 | -0.2233062 | 0.4190206 | -0.7692669 | 0.3226545 |
| GGB9616_SGB15052|SGB15052 | 0.9145023 | 0.0161248 | 0.1732221 | 1.6557826 |
| GGB58158_SGB79798|SGB79798 | -0.5931442 | 0.1208917 | -1.3453877 | 0.1590993 |
| Enterocloster_hominis|SGB4721 | -2.5838231 | 0.0000001 | -3.4848975 | -1.6827488 |
| Streptococcus_thermophilus|SGB8002 | -1.9051306 | 0.0000122 | -2.7259594 | -1.0843017 |
| Blautia_obeum|SGB4810 | 2.0476532 | 0.0000342 | 1.1115125 | 2.9837939 |
| GGB51884_SGB49168|SGB49168 | 0.1576822 | 0.5954702 | -0.4296599 | 0.7450243 |
| Roseburia_lenta|SGB4957 | 1.9623313 | 0.0003619 | 0.9080098 | 3.0166528 |
| GGB3288_SGB4342|SGB4342 | 0.1719754 | 0.6886263 | -0.6770096 | 1.0209604 |
| GGB9574_SGB14987|SGB14987 | 0.8228106 | 0.0037310 | 0.2731300 | 1.3724911 |
| Clostridiaceae_unclassified_SGB4771|SGB4771 | 0.3951355 | 0.3029642 | -0.3619755 | 1.1522465 |
| Lachnospiraceae_bacterium_OM04_12BH|SGB4893 | -0.3275102 | 0.5099089 | -1.3100021 | 0.6549817 |
| GGB9616_SGB15051|SGB15051 | 0.5125892 | 0.1770983 | -0.2355437 | 1.2607221 |
Open code
if (file.exists("gitignore/lm_results/result_microbiom_validation_SGB30.csv") == FALSE) {
write.table(result_microbiome_val,
"gitignore/lm_results/result_microbiom_validation_SGB30.csv",
row.names = FALSE
)
}6.2.2 Forest plot
6.2.2.1 Prepare data
Open code
## subset result tables
result_microbiome_subset <- result_microbiome %>%
filter(outcome %in% diet_sensitive_taxa)
result_microbiome_val_subset <- result_microbiome_val %>%
filter(outcome %in% diet_sensitive_taxa)
## create a data frame
data_forest <- data.frame(
outcome = rep(diet_sensitive_taxa, 3),
beta = c(
result_microbiome_subset$est_VGdiet_inCZ,
result_microbiome_subset$est_VGdiet_inIT,
result_microbiome_val_subset$est_VGdiet
),
lower = c(
result_microbiome_subset$CI_L_VGdiet_inCZ,
result_microbiome_subset$CI_L_VGdiet_inIT,
result_microbiome_val_subset$CI_L_VGdiet
),
upper = c(
result_microbiome_subset$CI_U_VGdiet_inCZ,
result_microbiome_subset$CI_U_VGdiet_inIT,
result_microbiome_val_subset$CI_U_VGdiet
),
dataset = c(
rep("CZ", len),
rep("IT", len),
rep("Validation", len)
)
)
## define ordering
validation_order <- data_forest %>%
group_by(outcome) %>%
summarise(beta_mean = mean(beta), .groups = "drop") %>%
arrange(beta_mean) %>%
pull(outcome)
## Define 'winners'
up_winners <- data_forest %>%
pivot_wider(names_from = dataset,
values_from = c(beta, lower, upper)) %>%
left_join(elacoef %>% mutate(outcome = microbiome) %>% select(-microbiome),
by = 'outcome') %>%
filter(beta_CZ > 0,
beta_IT > 0,
lower_Validation > 0,
beta_ela > 0.1) %>%
pull(outcome)
down_winners <- data_forest %>%
pivot_wider(names_from = dataset,
values_from = c(beta, lower, upper)) %>%
left_join(elacoef %>% mutate(outcome = microbiome) %>% select(-microbiome),
by = 'outcome') %>%
filter(beta_CZ < 0,
beta_IT < 0,
upper_Validation < 0,
beta_ela < -0.1) %>%
pull(outcome)
winners <- c(up_winners, down_winners)
data_forest <- data_forest %>%
mutate(in_winner = if_else(outcome %in% winners, TRUE, FALSE, missing = FALSE)) %>%
left_join(
elacoef %>% mutate(outcome = microbiome) %>% select(-microbiome),
by = 'outcome') %>%
mutate(outcome = factor(outcome, levels = validation_order))6.2.2.2 Plotting
Open code
plotac <- "forest_plot_microbiome_SGB30"
path <- "gitignore/figures"
colors <- c("CZ" = "#150999", "IT" = "#329243", "Validation" = "grey60")
assign(plotac, ggplot(
data_forest, aes(x = outcome, y = beta, ymin = lower, ymax = upper, color = dataset)
) +
geom_pointrange(position = position_dodge(width = 0.5), size = 0.5) +
geom_hline(yintercept = 0, color = "black") +
geom_errorbar(position = position_dodge(width = 0.5), width = 0.2) +
scale_color_manual(values = colors) +
labs(
y = "Effect of vegan diet on CLR-transformed relative abundance",
x = "Outcome",
color = "Dataset"
) +
theme_minimal() +
coord_flip() + # Flip coordinates to have outcomes on the y-axis
scale_x_discrete(
labels = setNames(
ifelse(data_forest$in_winner,
paste0("**", data_forest$outcome, "**"),
as.character(data_forest$outcome)
), data_forest$outcome
)
) +
theme(
axis.text.x = element_text(size = 10),
axis.text.y = ggtext::element_markdown(size = 10),
axis.title.x = element_text(size = 12),
axis.title.y = element_text(size = 12),
legend.position = "bottom"
)
)
get(plotac)
Diet, Country, and the interaction term Diet x Country as fixed-effect predictors. In the independent Czech validation cohort, Diet was the only fixed-effect predictor. Taxa validated in the linear model and showing predictive power in the elastic net model (|β| > 0.1) are boldOpen code
if (file.exists(paste0(path, "/", plotac, ".svg")) == FALSE) {
ggsave(
path = paste0(path),
filename = plotac,
device = "svg",
width = 9,
height = 13
)
}6.2.3 Boxplot
Open code
plotac <- "boxplot_microbiome_SGB30"
path <- "gitignore/figures"
colo <- c('#F9FFAF','#329243')
boxplot_cond <- function(variable) {
p <- ggboxplot(data_merged,
x = 'Diet',
y = variable,
fill = 'Diet',
tip.length = 0.15,
palette = colo,
outlier.shape = 1,
lwd = 0.25,
outlier.size = 0.8,
facet.by = 'Data',
title = variable,
ylab = 'CLR(taxa proportion)') +
theme(
plot.title = element_text(size = 10),
axis.title = element_text(size = 8),
axis.text.y = element_text(size = 7),
axis.text.x = element_blank(),
axis.title.x = element_blank()
)
return(p)
}
# Plot all outcomes
plots <- map(diet_sensitive_taxa, boxplot_cond)
# Create a matrix of plots
assign(plotac,
ggarrange(plotlist = plots, ncol = 5, nrow = 8, common.legend = TRUE)
)
get(plotac)
Open code
if (file.exists(paste0(path, "/", plotac, ".svg")) == FALSE) {
ggsave(
path = paste0(path),
filename = plotac,
device = "svg",
width = 9,
height = 12
)
}7 Linear model VG duration
Next, we fit another series of linear models, this time modelling clr-transformed taxa proportions (derived from shotgun metagenomic sequencing) using the following fixed-effect predictors: duration of vegan status (Diet_duration, scaled in tens of years), Country, their interaction (Diet_duration × Country), and Age:
\[ \text{CLR(taxa proportion)} = \alpha + \beta_{1} \times \text{Country} + \beta_{2} \times \text{Diet duration} + \beta_{3} \times (\text{Country}:\text{Diet duration}) + \beta_{4} \times \text{Age} + \epsilon \]
This analysis includes only vegan participants, while omnivores are excluded. The aim was to test whether specific taxa that differ between vegans and omnivores also vary within the vegan group itself, depending on how long participants have been vegan. In other words, we asked whether long-term vegans show stronger enrichment or depletion of diet-sensitive taxa compared to those who adopted the diet more recently.
Because longer vegan duration is likely correlated with age (e.g. a 20-year-old cannot have 20 years of vegan history, unlike a 40- or 60-year-old), we also adjusted for age in the models.
7.1 Get data
7.1.1 Training
Open code
meta_trainIT <- read.xlsx('gitignore/data/diet_duration_age.xlsx', sheet = 1)
meta_trainCZ <- read.xlsx('gitignore/data/diet_duration_age.xlsx', sheet = 2) %>%
dplyr::mutate(ID = paste0('T', ID),
Sex = SEX) %>%
dplyr::select(-SEX)
meta_trainIT[1:5,]
## ID COHORT GRP Diet_duration Age Sex
## 1 VOV002 IT_train OM 0 61.4 F
## 2 VOV003 IT_train OM 0 43.7 F
## 3 VOV004 IT_train OM 0 61.1 F
## 4 VOV006 IT_train OM 0 31.7 F
## 5 VOV007 IT_train OM 0 31.8 F
meta_trainCZ[1:5,]
## ID COHORT GRP Diet_duration Age Sex
## 1 T97 CZ_train OM 0 26.76438 M
## 2 T98 CZ_train OM 0 27.61370 F
## 3 T134 CZ_train OM 0 21.64384 F
## 4 T136 CZ_train OM 0 31.25479 M
## 5 T137 CZ_train OM 0 40.42192 F
data_meta_original <- bind_rows(meta_trainIT, meta_trainCZ) %>%
rename(`Sample` = `ID`)
data_meta_original[1:5,]
## Sample COHORT GRP Diet_duration Age Sex
## 1 VOV002 IT_train OM 0 61.4 F
## 2 VOV003 IT_train OM 0 43.7 F
## 3 VOV004 IT_train OM 0 61.1 F
## 4 VOV006 IT_train OM 0 31.7 F
## 5 VOV007 IT_train OM 0 31.8 F
data_microbiome_original2 <- data_microbiome_original %>%
left_join(data_meta_original, by = 'Sample') %>%
select(Sample:Diet, COHORT:Sex, everything())
data_microbiome_original2 %>% dim()
## [1] 166 307
data_microbiome_original2[
1:4,
(ncol(data_microbiome_original2)-10):ncol(data_microbiome_original2)
]
## GGB3288_SGB4342|SGB4342 GGB9574_SGB14987|SGB14987 Dorea_longicatena|SGB4582
## 1 3.521512 -3.935543 2.5467905
## 2 1.490726 -4.410746 0.4017447
## 3 1.916511 -4.642201 2.6654201
## 4 -2.628553 -3.043946 2.7020668
## Eubacterium_sp_AF34_35BH|SGB5051 GGB9640_SGB15115|SGB15115
## 1 -1.3341452 2.5410401
## 2 -5.0497228 -0.1233153
## 3 0.5545071 2.7650547
## 4 -3.6829225 0.1251354
## Clostridiaceae_unclassified_SGB4771|SGB4771 GGB9766_SGB15383|SGB15383
## 1 0.5290295 2.7333945
## 2 3.5708000 1.4672546
## 3 1.4967928 1.3702391
## 4 0.4902028 0.4573094
## Lachnospiraceae_bacterium_OM04_12BH|SGB4893 Clostridium_SGB6173|SGB6173
## 1 2.296050 5.387591
## 2 1.496614 4.887697
## 3 1.762727 -4.964669
## 4 -2.970321 -3.366413
## GGB9616_SGB15051|SGB15051 Intestinibacter_bartlettii|SGB6140
## 1 3.360962 3.972138
## 2 1.793992 1.376463
## 3 2.047487 -3.402379
## 4 3.922614 -1.804123
data_microbiome_original2[1:4, 1:10]
## Sample Country Diet COHORT GRP Diet_duration Age Sex
## 1 T36 CZ VEGAN CZ_train VG 3.5 31.64932 F
## 2 T47 CZ VEGAN CZ_train VG 9.0 43.79178 M
## 3 T55 CZ VEGAN CZ_train VG 10.0 29.83014 M
## 4 T59 CZ VEGAN CZ_train VG 8.0 30.24658 M
## Bacteroides_stercoris|SGB1830 Alistipes_putredinis|SGB2318
## 1 -3.911130 2.710308
## 2 4.081174 3.760123
## 3 1.860335 3.653518
## 4 -3.019533 4.4731637.1.2 Validation
Open code
data_meta_valid <- read.xlsx('gitignore/data/diet_duration_age.xlsx', sheet = 3) %>%
rename(`Sample` = `ID`)
data_microbiome_valid2 <- data_microbiome_validation %>%
left_join(data_meta_valid, by = 'Sample') %>%
select(Sample:Diet, COHORT:SEX, everything())
data_microbiome_valid2 %>% dim()
## [1] 103 307
data_microbiome_valid2[
1:4,
(ncol(data_microbiome_valid2)-10):ncol(data_microbiome_valid2)
]
## GGB3288_SGB4342|SGB4342 GGB9574_SGB14987|SGB14987 Dorea_longicatena|SGB4582
## 1 -4.647459 -4.312100 1.533233
## 2 -4.218210 -3.882851 -1.275541
## 3 -3.953490 -3.618131 3.095991
## 4 -3.946492 -3.611132 -3.283779
## Eubacterium_sp_AF34_35BH|SGB5051 GGB9640_SGB15115|SGB15115
## 1 2.198076 -2.747402
## 2 -2.205050 2.989142
## 3 -1.940330 -2.053433
## 4 -1.933331 1.229879
## Clostridiaceae_unclassified_SGB4771|SGB4771 GGB9766_SGB15383|SGB15383
## 1 1.729338 0.1257596
## 2 2.180441 1.5688877
## 3 -2.451381 -2.0461635
## 4 2.165251 -2.0391650
## Lachnospiraceae_bacterium_OM04_12BH|SGB4893 Clostridium_SGB6173|SGB6173
## 1 -2.0432565 0.1535293
## 2 0.8699953 -4.6655362
## 3 -4.3964080 2.6017067
## 4 -4.3894096 -4.3938173
## GGB9616_SGB15051|SGB15051 Intestinibacter_bartlettii|SGB6140
## 1 1.514270 -0.6887873
## 2 2.895254 -3.1328092
## 3 -1.555433 2.2670364
## 4 -1.548435 -2.8610903
data_microbiome_valid2[1:4, 1:10]
## Sample Data Diet COHORT GRP Diet_duration Age SEX
## 1 K4 valid VEGAN CZ_val VN <NA> 30.98904 M
## 2 K5 valid VEGAN CZ_val VN <NA> 30.66575 F
## 3 K7 valid VEGAN CZ_val VN <NA> 32.97808 F
## 4 K12 valid VEGAN CZ_val VN <NA> 27.89315 M
## Bacteroides_stercoris|SGB1830 Alistipes_putredinis|SGB2318
## 1 2.108233 3.9183436
## 2 1.841974 5.3157455
## 3 3.812640 5.3463451
## 4 3.638903 -0.3696454
data_microbiome_valid2 %>% select(Sample, Diet, GRP)
## Sample Diet GRP
## 1 K4 VEGAN VN
## 2 K5 VEGAN VN
## 3 K7 VEGAN VN
## 4 K12 VEGAN VN
## 5 K13 VEGAN VN
## 6 K15 VEGAN VN
## 7 K16 VEGAN VN
## 8 K18 VEGAN VN
## 9 K19 VEGAN VN
## 10 K25 VEGAN VN
## 11 K26 VEGAN VN
## 12 K31 VEGAN VN
## 13 K32 VEGAN VN
## 14 K34 VEGAN VN
## 15 K35 VEGAN VN
## 16 K38 VEGAN VN
## 17 K39 VEGAN VN
## 18 K42 OMNI OM
## 19 K43 OMNI OM
## 20 K45 VEGAN VN
## 21 K46 VEGAN VN
## 22 K48 VEGAN VN
## 23 K49 VEGAN VN
## 24 K55 VEGAN VN
## 25 K56 VEGAN VN
## 26 K61 VEGAN VN
## 27 K62 VEGAN VN
## 28 K64 VEGAN VN
## 29 K65 VEGAN VN
## 30 K73 VEGAN VN
## 31 K74 VEGAN VN
## 32 K82 VEGAN VN
## 33 K85 VEGAN VN
## 34 K103 VEGAN VN
## 35 K106 VEGAN VN
## 36 K107 VEGAN VN
## 37 K114 VEGAN VN
## 38 K117 VEGAN VN
## 39 K119 VEGAN VN
## 40 K120 VEGAN VN
## 41 K123 OMNI OM
## 42 K124 OMNI OM
## 43 K126 OMNI OM
## 44 K127 OMNI OM
## 45 K130 OMNI OM
## 46 K131 OMNI OM
## 47 K143 OMNI OM
## 48 K144 <NA> OM
## 49 K150 OMNI OM
## 50 K151 OMNI OM
## 51 K154 OMNI OM
## 52 K155 OMNI OM
## 53 K175 OMNI OM
## 54 K176 OMNI OM
## 55 K178 OMNI OM
## 56 K179 OMNI OM
## 57 K182 OMNI OM
## 58 K183 OMNI OM
## 59 K198 OMNI OM
## 60 K199 OMNI OM
## 61 K201 OMNI OM
## 62 K202 OMNI OM
## 63 K205 VEGAN VN
## 64 K206 VEGAN VN
## 65 K209 OMNI OM
## 66 K210 OMNI OM
## 67 K216 VEGAN VN
## 68 K217 VEGAN VN
## 69 K219 VEGAN VN
## 70 K220 VEGAN VN
## 71 K222 OMNI OM
## 72 K223 OMNI OM
## 73 K226 VEGAN VN
## 74 K227 VEGAN VN
## 75 K230 OMNI OM
## 76 K231 OMNI OM
## 77 K234 OMNI OM
## 78 K235 OMNI OM
## 79 K238 OMNI OM
## 80 K239 OMNI OM
## 81 K250 VEGAN VN
## 82 K251 VEGAN VN
## 83 K253 OMNI OM
## 84 K254 OMNI OM
## 85 K258 VEGAN VN
## 86 K260 VEGAN VN
## 87 K261 VEGAN VN
## 88 K263 VEGAN VN
## 89 K264 VEGAN VN
## 90 K266 OMNI OM
## 91 K267 OMNI OM
## 92 K270 OMNI OM
## 93 K281 VEGAN VN
## 94 K284 VEGAN VN
## 95 K285 VEGAN VN
## 96 K289 VEGAN VN
## 97 K291 VEGAN VN
## 98 K292 VEGAN VN
## 99 K298 OMNI OM
## 100 K299 OMNI OM
## 101 K318 OMNI OM
## 102 K329 OMNI OM
## 103 K330 OMNI OM
data_microbiome_valid2 %>% select(Sample, Diet, GRP, Diet_duration) %>%
filter(
(Diet == 'VEGAN' & GRP == 'OM') | (Diet == 'OMNI' & GRP == 'VN')
)
## [1] Sample Diet GRP Diet_duration
## <0 rows> (or 0-length row.names)7.2 Training cohort
7.2.1 Select data
Open code
data_analysis <- data_microbiome_original2 %>%
mutate(Country_IT = as.numeric(
dplyr::if_else(
Country == "IT", 0.5, -0.5
)
)
) %>%
filter(Diet == 'VEGAN',
!is.na(Diet_duration)) %>%
select(1:8, Country_IT, all_of(diet_sensitive_taxa))
summary(data_analysis[ , 1:12])
## Sample Country Diet COHORT
## Length:96 Length:96 Length:96 Length:96
## Class :character Class :character Class :character Class :character
## Mode :character Mode :character Mode :character Mode :character
##
##
##
## GRP Diet_duration Age Sex
## Length:96 Min. : 0.600 Min. :18.25 Length:96
## Class :character 1st Qu.: 3.150 1st Qu.:27.57 Class :character
## Mode :character Median : 5.000 Median :32.15 Mode :character
## Mean : 5.492 Mean :34.97
## 3rd Qu.: 6.000 3rd Qu.:40.77
## Max. :20.000 Max. :60.70
## Country_IT Escherichia_coli|SGB10068 Bacteroides_clarus|SGB1832
## Min. :-0.5000 Min. :-3.9601 Min. :-6.302
## 1st Qu.:-0.5000 1st Qu.:-2.9027 1st Qu.:-4.122
## Median :-0.5000 Median : 0.3207 Median :-3.449
## Mean :-0.1042 Mean : 0.1300 Mean :-2.297
## 3rd Qu.: 0.5000 3rd Qu.: 2.4967 3rd Qu.:-2.439
## Max. : 0.5000 Max. : 7.4579 Max. : 7.912
## Hydrogenoanaerobacterium_saccharovorans|SGB15350
## Min. :-4.1492
## 1st Qu.:-2.7727
## Median : 1.5574
## Mean : 0.6297
## 3rd Qu.: 3.1040
## Max. : 6.01257.2.2 Define number of microbiome and covariates
Open code
n_covarites <- 9
n_features <- ncol(data_analysis) - n_covarites7.2.3 Create empty objects
Open code
outcome <- vector('double', n_features)
est_Diet_duration_inCZ <- vector('double', n_features)
est_Diet_duration_inIT <- vector('double', n_features)
est_Diet_duration_avg <- vector('double', n_features)
est_ITcountry_avg <- vector('double', n_features)
diet_country_int <- vector('double', n_features)
est_Age <- vector('double', n_features)
P_Diet_duration_inCZ <- vector('double', n_features)
P_Diet_duration_inIT <- vector('double', n_features)
P_Diet_duration_avg <- vector('double', n_features)
P_ITcountry_avg <- vector('double', n_features)
P_diet_country_int <- vector('double', n_features)
P_Age <- vector('double', n_features)
CI_L_Diet_duration_inCZ <- vector('double', n_features)
CI_L_Diet_duration_inIT <- vector('double', n_features)
CI_L_Diet_duration_avg <- vector('double', n_features)
CI_U_Diet_duration_inCZ <- vector('double', n_features)
CI_U_Diet_duration_inIT <- vector('double', n_features)
CI_U_Diet_duration_avg <- vector('double', n_features)7.2.4 Estimate over outcomes
Open code
if(file.exists('gitignore/lm_results/result_microbiome_SGB30_VGdur_training.Rds') == FALSE){
for (i in 1:n_features) {
## define variable
data_analysis$outcome <- data_analysis[, (i + n_covarites)]
## fit model
model <- lm(outcome ~ Country_IT * Diet_duration + Age,
data = data_analysis %>%
mutate(Diet_duration = (Diet_duration/10),
Age = (Age-33)/10))
## get contrast (effects of diet BY COUNTRY)
contrast_emm <- summary(
pairs(
emmeans(
model,
specs = ~ Diet_duration | Country_IT,
at = list(Diet_duration = c(0, 1))
),
interaction = TRUE,
adjust = "none"
),
infer = c(TRUE, TRUE)
)
## save results
outcome[i] <- names(data_analysis)[i + n_covarites]
## country and Age effect
est_ITcountry_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT"
), 1
]
P_ITcountry_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT"
), 4
]
est_Age[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Age"
), 1
]
P_Age[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Age"
), 4
]
## diet effect
tr <- confint(model)
CI_L_Diet_duration_avg[i] <- tr[which(row.names(tr) == 'Diet_duration'),][1]
CI_U_Diet_duration_avg[i] <- tr[which(row.names(tr) == 'Diet_duration'),][2]
est_Diet_duration_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_duration"
), 1
]
P_Diet_duration_avg[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_duration"
), 4
]
est_Diet_duration_inCZ[i] <- -contrast_emm[1,3]
P_Diet_duration_inCZ[i] <- contrast_emm$p.value[1]
CI_L_Diet_duration_inCZ[i] <- -contrast_emm$upper.CL[1]
CI_U_Diet_duration_inCZ[i] <- -contrast_emm$lower.CL[1]
est_Diet_duration_inIT[i] <- -contrast_emm[2,3]
P_Diet_duration_inIT[i] <- contrast_emm$p.value[2]
CI_L_Diet_duration_inIT[i] <- -contrast_emm$upper.CL[2]
CI_U_Diet_duration_inIT[i] <- -contrast_emm$lower.CL[2]
## interaction
diet_country_int[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT:Diet_duration"
), 1
]
P_diet_country_int[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Country_IT:Diet_duration"
), 4
]
}
result_microbiome <- data.frame(
outcome,
est_ITcountry_avg, P_ITcountry_avg,
est_Age, P_Age,
est_Diet_duration_avg, P_Diet_duration_avg,
est_Diet_duration_inCZ, P_Diet_duration_inCZ,
est_Diet_duration_inIT, P_Diet_duration_inIT,
diet_country_int, P_diet_country_int,
CI_L_Diet_duration_avg, CI_U_Diet_duration_avg,
CI_L_Diet_duration_inCZ, CI_U_Diet_duration_inCZ,
CI_L_Diet_duration_inIT, CI_U_Diet_duration_inIT
)
saveRDS(result_microbiome,
'gitignore/lm_results/result_microbiome_SGB30_VGdur_training.Rds')
}
result_microbiome <- readRDS('gitignore/lm_results/result_microbiome_SGB30_VGdur_training.Rds')7.2.5 Show and save results
Open code
kableExtra::kable(result_microbiome %>%
dplyr::select(
outcome,
est_ITcountry_avg, P_ITcountry_avg,
est_Age, P_Age,
est_Diet_duration_avg, P_Diet_duration_avg,
est_Diet_duration_inCZ, P_Diet_duration_inCZ,
est_Diet_duration_inIT, P_Diet_duration_inIT,
diet_country_int, P_diet_country_int,
CI_L_Diet_duration_avg, CI_U_Diet_duration_avg,
CI_L_Diet_duration_inCZ, CI_U_Diet_duration_inCZ,
CI_L_Diet_duration_inIT, CI_U_Diet_duration_inIT
) %>% arrange(P_Diet_duration_avg),
caption = "Results of linear models, modelling CLR-transformed relative abundances of taxa (inferred from shotgun metagenomic sequencing) as the outcome, with vegan status duration (`Diet_duration`), `Country`, their interaction (`Diet_duration × Country`), and `Age` as fixed-effect predictors, using training data only (Czech and Italian vegan cohorts). Only taxa with CLR-transformed relative abundances differing by diet (FDR < 0.05, average effect across both countries) were included. `est`: denotes estimated effects (regression coefficients), i.e. expected change in clr-transformed relative abundnace per 10 years of vegan diet or age, or for country (Italy vs Czechia). `P`: p-value; `CI_L` and `CI_U`: lower and upper bounds of the 95% confidence interval. `avg` suffix: effect averaged across cohorts, whereas `inCZ` and `inIT` indicate effects in the Czech or Italian cohort, respectively. Interaction effects are reported as `diet_country_int` (difference in the effect of vegan diet duration between Italian and Czech cohorts; positive values indicate a stronger effect in Italian, negative values a stronger effect in Czech cohort) and `P_diet_country_int` (its p-value). All estimates in a single row are based on a single model with interaction",
escape = FALSE
)| outcome | est_ITcountry_avg | P_ITcountry_avg | est_Age | P_Age | est_Diet_duration_avg | P_Diet_duration_avg | est_Diet_duration_inCZ | P_Diet_duration_inCZ | est_Diet_duration_inIT | P_Diet_duration_inIT | diet_country_int | P_diet_country_int | CI_L_Diet_duration_avg | CI_U_Diet_duration_avg | CI_L_Diet_duration_inCZ | CI_U_Diet_duration_inCZ | CI_L_Diet_duration_inIT | CI_U_Diet_duration_inIT |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Eubacterium_ramulus|SGB4959 | -2.5175062 | 0.0086078 | -0.0606638 | 0.8167213 | 2.2037084 | 0.0132447 | 1.3853024 | 0.1171102 | 3.0221144 | 0.0334956 | 1.6368120 | 0.2945036 | 0.4711830 | 3.9362339 | -0.3540560 | 3.1246608 | 0.2413958 | 5.8028331 |
| Youxingia_wuxianensis|SGB82503 | 1.0022451 | 0.2553363 | 0.7442438 | 0.0029686 | -1.7165515 | 0.0378508 | -0.9837263 | 0.2321514 | -2.4493767 | 0.0642244 | -1.4656504 | 0.3147611 | -3.3346763 | -0.0984266 | -2.6082329 | 0.6407803 | -5.0464813 | 0.1477280 |
| Bacteroides_clarus|SGB1832 | -1.5444133 | 0.2137562 | 0.0739828 | 0.8299100 | 2.3757015 | 0.0412789 | -0.7634385 | 0.5092538 | 5.5148415 | 0.0035456 | 6.2782801 | 0.0027909 | 0.0960579 | 4.6553451 | -3.0520728 | 1.5251958 | 1.8559935 | 9.1736896 |
| GGB9531_SGB14932|SGB14932 | -0.3439895 | 0.6726253 | -0.1827125 | 0.4207511 | 1.2089138 | 0.1127821 | 0.1825335 | 0.8102317 | 2.2352941 | 0.0683331 | 2.0527606 | 0.1300695 | -0.2907409 | 2.7085685 | -1.3230357 | 1.6881027 | -0.1716650 | 4.6422531 |
| Blautia_obeum|SGB4810 | -1.1168792 | 0.2948135 | -0.7894953 | 0.0088519 | 1.3836493 | 0.1640112 | 1.7209547 | 0.0855576 | 1.0463438 | 0.5102474 | -0.6746109 | 0.7016287 | -0.5752914 | 3.3425899 | -0.2457119 | 3.6876213 | -2.0977732 | 4.1904609 |
| Roseburia_lenta|SGB4957 | -1.5866949 | 0.0991356 | -0.2379291 | 0.3718854 | 1.1766007 | 0.1875325 | 1.7916602 | 0.0469512 | 0.5615412 | 0.6938721 | -1.2301191 | 0.4374128 | -0.5834517 | 2.9366530 | 0.0246664 | 3.5586541 | -2.2633584 | 3.3864407 |
| Phocea_massiliensis|SGB14837 | -0.1082940 | 0.8799690 | -0.1570641 | 0.4322242 | 0.8805241 | 0.1890172 | 0.1651280 | 0.8053045 | 1.5959201 | 0.1385152 | 1.4307921 | 0.2300992 | -0.4411101 | 2.2021582 | -1.1617186 | 1.4919746 | -0.5253145 | 3.7171546 |
| Agathobaculum_butyriciproducens|SGB14991 | -1.4347503 | 0.3163834 | -0.5179469 | 0.1947225 | 1.4617258 | 0.2728519 | -0.1056128 | 0.9368928 | 3.0290645 | 0.1577653 | 3.1346773 | 0.1871032 | -1.1702135 | 4.0936652 | -2.7479324 | 2.5367067 | -1.1952214 | 7.2533505 |
| GGB58158_SGB79798|SGB79798 | 0.5795715 | 0.4367189 | -0.2467789 | 0.2352844 | -0.6992341 | 0.3137514 | -0.5112545 | 0.4625641 | -0.8872138 | 0.4253240 | -0.3759593 | 0.7602957 | -2.0703675 | 0.6718993 | -1.8877956 | 0.8652866 | -3.0878950 | 1.3134675 |
| Streptococcus_thermophilus|SGB8002 | -0.2730919 | 0.7494862 | -0.0954289 | 0.6886222 | 0.7451119 | 0.3500872 | 0.6996705 | 0.3819823 | 0.7905532 | 0.5362238 | 0.0908827 | 0.9488201 | -0.8306859 | 2.3209096 | -0.8823421 | 2.2816831 | -1.7386161 | 3.3197225 |
| GGB3288_SGB4342|SGB4342 | -1.7637274 | 0.1023633 | 0.8325136 | 0.0062810 | 0.8593587 | 0.3897714 | 0.4327941 | 0.6656752 | 1.2859234 | 0.4225326 | 0.8531293 | 0.6309620 | -1.1159790 | 2.8346965 | -1.5503343 | 2.4159224 | -1.8845112 | 4.4563579 |
| Lachnospiraceae_bacterium_OM04_12BH|SGB4893 | -1.9393019 | 0.0943426 | 0.2585104 | 0.4203690 | 0.9207256 | 0.3905816 | 0.1859236 | 0.8626297 | 1.6555275 | 0.3363818 | 1.4696039 | 0.4411552 | -1.1993066 | 3.0407577 | -1.9424698 | 2.3143171 | -1.7471429 | 5.0581979 |
| Holdemania_filiformis|SGB4046 | -1.0429956 | 0.3022942 | 0.2479234 | 0.3780889 | 0.8035828 | 0.3925567 | -0.1483020 | 0.8748696 | 1.7554676 | 0.2453477 | 1.9037696 | 0.2558393 | -1.0544847 | 2.6616504 | -2.0136976 | 1.7170937 | -1.2267472 | 4.7376824 |
| GGB9616_SGB15051|SGB15051 | -1.2688777 | 0.3124855 | 0.7172333 | 0.0420483 | -0.9573359 | 0.4123114 | -1.8425605 | 0.1178141 | -0.0721113 | 0.9692515 | 1.7704492 | 0.3943728 | -3.2662170 | 1.3515451 | -4.1605477 | 0.4754266 | -3.7778858 | 3.6336632 |
| Clostridium_fessum|SGB4705 | -1.4481563 | 0.1840616 | 0.1136871 | 0.7067272 | 0.8221975 | 0.4161731 | 0.8556781 | 0.3993688 | 0.7887170 | 0.6265918 | -0.0669611 | 0.9702681 | -1.1772935 | 2.8216885 | -1.1516988 | 2.8630549 | -2.4204837 | 3.9979176 |
| Oscillibacter_valericigenes|SGB15076 | 1.3696332 | 0.1290475 | -0.1987828 | 0.4266397 | -0.6233810 | 0.4555874 | -0.4613657 | 0.5820240 | -0.7853962 | 0.5578465 | -0.3240305 | 0.8272665 | -2.2758700 | 1.0291080 | -2.1203720 | 1.1976406 | -3.4376556 | 1.8668633 |
| GGB9574_SGB14987|SGB14987 | 2.9325371 | 0.0059197 | -0.3303480 | 0.2571013 | -0.7151715 | 0.4619429 | 0.9691408 | 0.3213127 | -2.3994838 | 0.1259754 | -3.3686246 | 0.0536394 | -2.6380763 | 1.2077332 | -0.9613477 | 2.8996293 | -5.4857629 | 0.6867953 |
| GGB9509_SGB14906|SGB14906 | 0.1274415 | 0.8837364 | -0.0536453 | 0.8250255 | -0.5942356 | 0.4642694 | -1.3836615 | 0.0916902 | 0.1951903 | 0.8807757 | 1.5788518 | 0.2754943 | -2.2003334 | 1.0118622 | -2.9960937 | 0.2287707 | -2.3826109 | 2.7729915 |
| GGB6649_SGB9391|SGB9391 | -0.5487023 | 0.5683906 | 0.6674328 | 0.0141599 | 0.6257762 | 0.4846128 | 1.0000263 | 0.2669072 | 0.2515262 | 0.8608850 | -0.7485001 | 0.6383350 | -1.1454956 | 2.3970480 | -0.7782313 | 2.7782839 | -2.5913807 | 3.0944331 |
| Hydrogenoanaerobacterium_saccharovorans|SGB15350 | 1.9306349 | 0.1284094 | -0.2616931 | 0.4569638 | -0.7624752 | 0.5164885 | -0.3889152 | 0.7414750 | -1.1360351 | 0.5469424 | -0.7471199 | 0.7207528 | -3.0878896 | 1.5629393 | -2.7235009 | 1.9456705 | -4.8683459 | 2.5962756 |
| GGB9770_SGB15390|SGB15390 | 0.8601455 | 0.3151323 | -0.2405888 | 0.3128854 | 0.4894934 | 0.5382333 | 0.0096781 | 0.9903186 | 0.9693086 | 0.4478753 | 0.9596305 | 0.4979073 | -1.0842811 | 2.0632678 | -1.5703032 | 1.5896594 | -1.5566132 | 3.4952305 |
| GGB9765_SGB15382|SGB15382 | 0.3850034 | 0.6095156 | 0.0255118 | 0.9031750 | -0.4302221 | 0.5397052 | -0.5945364 | 0.3990217 | -0.2659077 | 0.8131471 | 0.3286286 | 0.7922321 | -1.8184684 | 0.9580242 | -1.9882578 | 0.7991851 | -2.4940553 | 1.9622398 |
| Ruthenibacterium_lactatiformans|SGB15271 | 1.9157625 | 0.0287860 | -0.3245451 | 0.1797661 | 0.4904124 | 0.5425467 | 0.5762602 | 0.4761631 | 0.4045645 | 0.7541026 | -0.1716957 | 0.9045595 | -1.1032342 | 2.0840590 | -1.0236716 | 2.1761921 | -2.1532524 | 2.9623814 |
| Lachnospiraceae_bacterium|SGB4953 | -1.5384905 | 0.2273424 | -0.0204087 | 0.9539446 | -0.6881779 | 0.5604316 | -0.9798906 | 0.4093972 | -0.3964652 | 0.8343328 | 0.5834253 | 0.7813856 | -3.0275018 | 1.6511460 | -3.3284405 | 1.3686594 | -4.1511007 | 3.3581702 |
| GGB51884_SGB49168|SGB49168 | -1.3975208 | 0.1376682 | 0.3938725 | 0.1329399 | 0.5026362 | 0.5640386 | -0.6400748 | 0.4646012 | 1.6453473 | 0.2407513 | 2.2854221 | 0.1425799 | -1.2218437 | 2.2271162 | -2.3713560 | 1.0912064 | -1.1224583 | 4.4131528 |
| Escherichia_coli|SGB10068 | -0.9743327 | 0.4408773 | -0.0785194 | 0.8232017 | 0.6451714 | 0.5830299 | -0.8037128 | 0.4959521 | 2.0940557 | 0.2681592 | 2.8977685 | 0.1678368 | -1.6809816 | 2.9713245 | -3.1390400 | 1.5316144 | -1.6394405 | 5.8275519 |
| GGB9616_SGB15052|SGB15052 | 1.2429148 | 0.2793412 | -0.4548368 | 0.1560029 | -0.5710696 | 0.5922799 | 0.0193215 | 0.9855891 | -1.1614608 | 0.4975851 | -1.1807823 | 0.5339685 | -2.6817664 | 1.5396272 | -2.0996998 | 2.1383427 | -4.5491478 | 2.2262263 |
| GGB45432_SGB63101|SGB63101 | 0.6894832 | 0.3156702 | 0.2357121 | 0.2185483 | 0.3343624 | 0.6002401 | 0.3228673 | 0.6142055 | 0.3458574 | 0.7354482 | 0.0229900 | 0.9838359 | -0.9285686 | 1.5972934 | -0.9450446 | 1.5907793 | -1.6811580 | 2.3728728 |
| Clostridium_SGB48024|SGB48024 | 0.2171189 | 0.8801367 | -0.2661515 | 0.5072019 | 0.6905252 | 0.6064651 | 0.5296547 | 0.6938131 | 0.8513957 | 0.6922241 | 0.3217409 | 0.8926571 | -1.9629599 | 3.3440103 | -2.1342955 | 3.1936050 | -3.4074714 | 5.1102627 |
| Lachnospiraceae_bacterium_AM48_27BH|SGB4706 | -1.3455879 | 0.1717859 | 0.1539243 | 0.5728364 | -0.3108993 | 0.7331069 | 0.0375800 | 0.9672409 | -0.6593787 | 0.6523591 | -0.6969587 | 0.6676280 | -2.1164106 | 1.4946120 | -1.7750521 | 1.8502121 | -3.5572403 | 2.2384829 |
| Anaeromassilibacillus_senegalensis|SGB14894 | 1.6877504 | 0.0686701 | -0.2505919 | 0.3284149 | -0.2854188 | 0.7384825 | 0.0306524 | 0.9715015 | -0.6014900 | 0.6611912 | -0.6321424 | 0.6778665 | -1.9783857 | 1.4075482 | -1.6689915 | 1.7302963 | -3.3187169 | 2.1157369 |
| Ruminococcus_torques|SGB4608 | -1.8237641 | 0.1424335 | -0.0285497 | 0.9338786 | 0.3375568 | 0.7691653 | -0.0817489 | 0.9435506 | 0.7568624 | 0.6818961 | 0.8386113 | 0.6821488 | -1.9404398 | 2.6155533 | -2.3687297 | 2.2052319 | -2.8993422 | 4.4130670 |
| Clostridiaceae_unclassified_SGB4771|SGB4771 | -1.9260704 | 0.1449088 | 0.4819145 | 0.1896637 | 0.3574092 | 0.7699899 | -1.3152470 | 0.2852400 | 2.0300655 | 0.3021035 | 3.3453125 | 0.1264964 | -2.0634645 | 2.7782830 | -3.7456685 | 1.1151745 | -1.8554582 | 5.9155892 |
| Blautia_massiliensis|SGB4826 | -4.7208984 | 0.0022978 | -0.5028800 | 0.2331091 | 0.1197294 | 0.9320368 | -0.9744908 | 0.4898790 | 1.2139496 | 0.5903534 | 2.1884404 | 0.3821309 | -2.6612685 | 2.9007273 | -3.7664568 | 1.8174751 | -3.2495766 | 5.6774758 |
| Lawsonibacter_asaccharolyticus|SGB15154 | 4.0489822 | 0.0005465 | -0.3465494 | 0.2734601 | 0.0895930 | 0.9322623 | 0.6779310 | 0.5222179 | -0.4987450 | 0.7681896 | -1.1766759 | 0.5309623 | -1.9983612 | 2.1775472 | -1.4182580 | 2.7741199 | -3.8499299 | 2.8524400 |
| Ruminococcus_sp_AF41_9|SGB25497 | -2.3465858 | 0.0611050 | 0.0860370 | 0.8033638 | -0.0865262 | 0.9402601 | -0.4673026 | 0.6869627 | 0.2942501 | 0.8738413 | 0.7615527 | 0.7110415 | -2.3735930 | 2.2005406 | -2.7633894 | 1.8287842 | -3.3765123 | 3.9650125 |
| GGB2653_SGB3574|SGB3574 | 1.2135554 | 0.2438004 | -0.4592590 | 0.1142516 | -0.0614921 | 0.9491968 | 0.4343717 | 0.6541055 | -0.5573558 | 0.7190775 | -0.9917275 | 0.5640635 | -1.9732718 | 1.8502877 | -1.4849480 | 2.3536913 | -3.6257792 | 2.5110676 |
| GGB9707_SGB15229|SGB15229 | 0.3590995 | 0.6760163 | 0.1205664 | 0.6143524 | -0.0287736 | 0.9712761 | -0.3127869 | 0.6967372 | 0.2552398 | 0.8422714 | 0.5680267 | 0.6897419 | -1.6117094 | 1.5541622 | -1.9019657 | 1.2763919 | -2.2853862 | 2.7958657 |
| Enterocloster_hominis|SGB4721 | -0.1320591 | 0.8789731 | 0.0331574 | 0.8907714 | -0.0233820 | 0.9768810 | -0.1075774 | 0.8943511 | 0.0608135 | 0.9625450 | 0.1683909 | 0.9066593 | -1.6216844 | 1.5749205 | -1.7121834 | 1.4970286 | -2.5044760 | 2.6261030 |
Open code
if(file.exists('gitignore/lm_results/result_microbiome_SGB30_VGdur_training.csv') == FALSE){
write.table(result_microbiome,
'gitignore/lm_results/result_microbiome_SGB30_VGdur_training.csv', row.names = FALSE)
}7.3 Validation cohort
Open code
data_analysis_microbiome <- data_microbiome_valid2 %>%
filter(Diet == 'VEGAN',
!is.na(Diet_duration)) %>%
dplyr::mutate(Diet_duration = as.numeric(as.character(Diet_duration))) %>%
dplyr::select(
Diet_duration, Age,
all_of(diet_sensitive_taxa)
)
summary(data_analysis_microbiome[ , 1:12])
## Diet_duration Age Escherichia_coli|SGB10068
## Min. : 0.170 Min. :21.54 Min. :-3.8524
## 1st Qu.: 4.062 1st Qu.:30.05 1st Qu.:-3.2960
## Median : 6.000 Median :32.81 Median :-2.7510
## Mean : 6.790 Mean :32.37 Mean :-1.6863
## 3rd Qu.:10.000 3rd Qu.:34.24 3rd Qu.:-0.3101
## Max. :15.000 Max. :44.08 Max. : 4.5859
## Bacteroides_clarus|SGB1832 Hydrogenoanaerobacterium_saccharovorans|SGB15350
## Min. :-2.1911 Min. :-1.6474
## 1st Qu.:-1.7408 1st Qu.:-0.1372
## Median :-1.3999 Median : 0.7572
## Mean :-0.9279 Mean : 0.6008
## 3rd Qu.:-0.6137 3rd Qu.: 1.2692
## Max. : 3.9937 Max. : 3.4472
## GGB6649_SGB9391|SGB9391 Ruthenibacterium_lactatiformans|SGB15271
## Min. :-3.4825 Min. :-3.3057
## 1st Qu.:-2.6367 1st Qu.:-1.8476
## Median :-1.3468 Median :-0.3574
## Mean :-0.9723 Mean :-0.4243
## 3rd Qu.: 0.6831 3rd Qu.: 0.6305
## Max. : 2.2045 Max. : 6.3991
## Lawsonibacter_asaccharolyticus|SGB15154 Clostridium_fessum|SGB4705
## Min. :-4.9579 Min. :-0.2847
## 1st Qu.:-3.0046 1st Qu.: 2.0317
## Median :-0.5985 Median : 2.7407
## Mean :-1.0778 Mean : 2.5503
## 3rd Qu.: 0.8116 3rd Qu.: 3.2138
## Max. : 2.5010 Max. : 6.0140
## GGB9707_SGB15229|SGB15229 Lachnospiraceae_bacterium_AM48_27BH|SGB4706
## Min. :-4.57266 Min. :-1.2222
## 1st Qu.:-2.51742 1st Qu.: 0.9084
## Median : 1.21365 Median : 1.5063
## Mean : 0.09053 Mean : 1.3817
## 3rd Qu.: 2.03840 3rd Qu.: 1.8131
## Max. : 5.20551 Max. : 3.5986
## GGB9509_SGB14906|SGB14906
## Min. :-3.269
## 1st Qu.:-2.770
## Median :-2.334
## Mean :-1.951
## 3rd Qu.:-1.239
## Max. : 1.5547.3.0.1 Define number of microbiome and covariates
Open code
n_covarites <- 2
n_features <- ncol(data_analysis_microbiome) - n_covarites7.3.0.2 Create empty objects
Open code
outcome <- vector('double', n_features)
est_VGduration <- vector('double', n_features)
P_VGduration <- vector('double', n_features)
CI_L_VGduration <- vector('double', n_features)
CI_U_VGduration <- vector('double', n_features)7.3.0.3 Estimate over outcomes
Open code
for (i in 1:n_features) {
## define variable
data_analysis_microbiome$outcome <- data_analysis_microbiome[, (i + n_covarites)]
## fit model
model <- lm(outcome ~ Diet_duration + Age,
data = data_analysis_microbiome %>%
mutate(Diet_duration = (Diet_duration)/10,
Age = (Age-33)/10))
## save results
outcome[i] <- names(data_analysis_microbiome)[i + n_covarites]
## diet effect
tr <- confint(model)
CI_L_VGduration[i] <- tr[which(row.names(tr) == "Diet_duration"), ][1]
CI_U_VGduration[i] <- tr[which(row.names(tr) == "Diet_duration"), ][2]
est_VGduration[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_duration"
), 1
]
P_VGduration[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Diet_duration"
), 4
]
est_Age[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Age"
), 1
]
P_Age[i] <- summary(model)$coefficients[
which(
names(model$coefficients) == "Age"
), 4
]
}7.3.0.4 Results table
Open code
result_microbiome_val <- data.frame(
outcome,
est_VGduration, P_VGduration,
CI_L_VGduration, CI_U_VGduration,
est_Age, P_Age
)
kableExtra::kable(result_microbiome_val %>% arrange(P_VGduration),
caption = "Results of linear models estimating the effect of vegan diet status duration on CLR-transformed relative abundances of taxa (inferred from shotgun metagenomic sequencing) as the outcome. Only taxa with significant differences between vegans and omnivores in training cohorts (FDR < 0.05, average effect over both countries) were included. `est`: regression coefficient, i.e. expected change in CLR-transformed relative abundance per +10 years of vegan diet duration and age, respectively. `P`: p-value; `CI_L` and `CI_U`: lower and upper bounds of the 95% confidence interval. All estimates in a single row are based on a single model"
)| outcome | est_VGduration | P_VGduration | CI_L_VGduration | CI_U_VGduration | est_Age | P_Age |
|---|---|---|---|---|---|---|
| Bacteroides_clarus|SGB1832 | -1.3786805 | 0.0227758 | -2.5573389 | -0.2000221 | 0.1687836 | 0.7358085 |
| Roseburia_lenta|SGB4957 | 2.5454335 | 0.0541621 | -0.0472436 | 5.1381107 | -1.0798158 | 0.3284438 |
| Clostridium_fessum|SGB4705 | -1.0407376 | 0.0805208 | -2.2124951 | 0.1310200 | 0.2250477 | 0.6510305 |
| Lachnospiraceae_bacterium_OM04_12BH|SGB4893 | 1.7936186 | 0.0818178 | -0.2346948 | 3.8219320 | -1.5217930 | 0.0814501 |
| GGB9574_SGB14987|SGB14987 | -1.0027985 | 0.1063705 | -2.2275285 | 0.2219314 | -0.3432288 | 0.5097171 |
| Ruminococcus_sp_AF41_9|SGB25497 | -1.8699188 | 0.1481967 | -4.4268409 | 0.6870034 | 1.4200471 | 0.1941426 |
| Blautia_obeum|SGB4810 | -1.4000327 | 0.1709467 | -3.4239389 | 0.6238734 | 1.2841260 | 0.1389656 |
| Phocea_massiliensis|SGB14837 | -1.0701246 | 0.1711432 | -2.6178350 | 0.4775858 | 0.1873452 | 0.7754469 |
| Lachnospiraceae_bacterium_AM48_27BH|SGB4706 | -0.5746767 | 0.1732985 | -1.4100898 | 0.2607365 | 0.5744697 | 0.1094495 |
| Oscillibacter_valericigenes|SGB15076 | -0.5337953 | 0.2033099 | -1.3653465 | 0.2977558 | -0.0413347 | 0.9067171 |
| Clostridium_SGB48024|SGB48024 | 0.9646814 | 0.3223077 | -0.9731131 | 2.9024759 | -0.0767947 | 0.9255659 |
| Holdemania_filiformis|SGB4046 | -0.5553577 | 0.3715054 | -1.7919613 | 0.6812458 | 0.1293362 | 0.8052947 |
| GGB3288_SGB4342|SGB4342 | 0.7153222 | 0.4455226 | -1.1524687 | 2.5831131 | 0.8660687 | 0.2771325 |
| Ruthenibacterium_lactatiformans|SGB15271 | 0.6679235 | 0.4595417 | -1.1313562 | 2.4672033 | -0.1650553 | 0.8288189 |
| Blautia_massiliensis|SGB4826 | -0.7122384 | 0.4602138 | -2.6337861 | 1.2093094 | -0.4223935 | 0.6047744 |
| Lawsonibacter_asaccharolyticus|SGB15154 | 0.7182570 | 0.4860113 | -1.3364840 | 2.7729979 | -1.2183773 | 0.1661446 |
| Hydrogenoanaerobacterium_saccharovorans|SGB15350 | 0.3133473 | 0.4926696 | -0.5969685 | 1.2236631 | -0.8623585 | 0.0291799 |
| Lachnospiraceae_bacterium|SGB4953 | -1.0714136 | 0.5020708 | -4.2531166 | 2.1102895 | 0.8484183 | 0.5303788 |
| Anaeromassilibacillus_senegalensis|SGB14894 | 0.5567021 | 0.5155737 | -1.1502601 | 2.2636644 | -0.2668066 | 0.7126884 |
| GGB9616_SGB15052|SGB15052 | 0.5523505 | 0.5171969 | -1.1478627 | 2.2525637 | -1.3758725 | 0.0608253 |
| GGB6649_SGB9391|SGB9391 | 0.5181804 | 0.5191072 | -1.0841812 | 2.1205420 | 0.4120110 | 0.5451184 |
| Agathobaculum_butyriciproducens|SGB14991 | -0.6360667 | 0.5447521 | -2.7303886 | 1.4582552 | 1.0255316 | 0.2514126 |
| Streptococcus_thermophilus|SGB8002 | 0.4532587 | 0.5878069 | -1.2149387 | 2.1214562 | -1.2390842 | 0.0844543 |
| Clostridiaceae_unclassified_SGB4771|SGB4771 | 0.4795630 | 0.5898911 | -1.2953741 | 2.2545001 | -0.2329909 | 0.7570774 |
| GGB2653_SGB3574|SGB3574 | 0.4311344 | 0.5961702 | -1.1919745 | 2.0542434 | 0.5449960 | 0.4300171 |
| Youxingia_wuxianensis|SGB82503 | -0.2847367 | 0.6907907 | -1.7136416 | 1.1441682 | -0.3091343 | 0.6104829 |
| Escherichia_coli|SGB10068 | 0.3938668 | 0.6970811 | -1.6260111 | 2.4137448 | 0.2178192 | 0.7993791 |
| GGB9770_SGB15390|SGB15390 | 0.2993452 | 0.7041724 | -1.2745428 | 1.8732332 | -0.1609072 | 0.8095900 |
| GGB51884_SGB49168|SGB49168 | 0.2531832 | 0.7096334 | -1.1042940 | 1.6106605 | -0.0402421 | 0.9442836 |
| GGB9707_SGB15229|SGB15229 | -0.3734095 | 0.7430763 | -2.6480569 | 1.9012379 | 1.5778412 | 0.1064571 |
| GGB45432_SGB63101|SGB63101 | -0.2969978 | 0.7559417 | -2.2050470 | 1.6110514 | 0.7055560 | 0.3851098 |
| Eubacterium_ramulus|SGB4959 | 0.1723507 | 0.7900212 | -1.1202429 | 1.4649442 | 0.1560246 | 0.7760604 |
| GGB9765_SGB15382|SGB15382 | 0.2354550 | 0.8040675 | -1.6600181 | 2.1309281 | 0.4150256 | 0.6061898 |
| GGB9531_SGB14932|SGB14932 | -0.1410040 | 0.8232285 | -1.4016601 | 1.1196521 | -0.2605440 | 0.6264921 |
| GGB9509_SGB14906|SGB14906 | 0.0949757 | 0.8511105 | -0.9157040 | 1.1056554 | -0.6725130 | 0.1211102 |
| Ruminococcus_torques|SGB4608 | -0.1512453 | 0.8912781 | -2.3615853 | 2.0590947 | -0.5412532 | 0.5643781 |
| GGB58158_SGB79798|SGB79798 | -0.0686542 | 0.9342381 | -1.7308059 | 1.5934974 | 0.4839345 | 0.4934665 |
| Enterocloster_hominis|SGB4721 | -0.0476938 | 0.9466370 | -1.4712447 | 1.3758571 | -0.5922229 | 0.3289834 |
| GGB9616_SGB15051|SGB15051 | 0.0073253 | 0.9934289 | -1.7695818 | 1.7842324 | 0.4521875 | 0.5492505 |
Open code
if (file.exists("gitignore/lm_results/result_microbiom_validation_SGB30_VGdur_valid.csv") == FALSE) {
write.table(result_microbiome_val,
"gitignore/lm_results/result_microbiom_validation_SGB30_VGdur_valid.csv",
row.names = FALSE
)
}7.4 Forest plot
7.4.1 Prepare data
Open code
## subset result tables
result_microbiome_subset <- result_microbiome %>%
filter(outcome %in% diet_sensitive_taxa)
result_microbiome_val_subset <- result_microbiome_val %>%
filter(outcome %in% diet_sensitive_taxa)
## create a data frame
data_forest <- data.frame(
outcome = rep(diet_sensitive_taxa, 3),
beta = c(
result_microbiome_subset$est_Diet_duration_inCZ,
result_microbiome_subset$est_Diet_duration_inIT,
result_microbiome_val_subset$est_VGduration
),
lower = c(
result_microbiome_subset$CI_L_Diet_duration_inCZ,
result_microbiome_subset$CI_L_Diet_duration_inIT,
result_microbiome_val_subset$CI_L_VGduration
),
upper = c(
result_microbiome_subset$CI_U_Diet_duration_inCZ,
result_microbiome_subset$CI_U_Diet_duration_inIT,
result_microbiome_val_subset$CI_U_VGduration
),
dataset = c(
rep("CZ", len),
rep("IT", len),
rep("Validation", len)
)
)
data_forest <- data_forest %>%
mutate(in_winner = if_else(outcome %in% winners, TRUE, FALSE, missing = FALSE)) %>%
left_join(
elacoef %>% mutate(outcome = microbiome) %>% select(-microbiome),
by = 'outcome') %>%
mutate(outcome = factor(outcome, levels = validation_order))7.4.1.1 Plotting
Open code
plotac <- "forest_plot_microbiome_SGB30_VGduration"
path <- "gitignore/figures"
colors <- c("CZ" = "#150999", "IT" = "#329243", "Validation" = "grey60")
assign(plotac, ggplot(
data_forest, aes(x = outcome, y = beta, ymin = lower, ymax = upper, color = dataset)
) +
geom_pointrange(position = position_dodge(width = 0.5), size = 0.5) +
geom_hline(yintercept = 0, color = "black") +
geom_errorbar(position = position_dodge(width = 0.5), width = 0.2) +
scale_color_manual(values = colors) +
labs(
y = "Effect of vegan diet duration (+10y) on CLR(relative abundance)",
x = "Outcome",
color = "Dataset"
) +
theme_minimal() +
coord_flip() +
scale_x_discrete(
labels = setNames(
ifelse(data_forest$in_winner,
paste0("**", data_forest$outcome, "**"),
as.character(data_forest$outcome)
), data_forest$outcome
)
) +
theme(
axis.text.x = element_text(size = 10),
axis.text.y = ggtext::element_markdown(size = 10),
axis.title.x = element_text(size = 12),
axis.title.y = element_text(size = 12),
legend.position = "bottom"
)
)
get(plotac)
Diet_duration, Country, their interaction (Diet_duration x Country), and Age as fixed-effect predictors. Age was included as it correlates with Diet_duration and could act as a confounder. In the Czech validation cohort, Diet_duration and Age were fixed-effect predictors. Diet-sensitive taxa are shown in bold, in the same order as in the forest plot of vegan–omnivore differences.Open code
if (file.exists(paste0(path, "/", plotac, ".svg")) == FALSE) {
ggsave(
path = paste0(path),
filename = plotac,
device = "svg",
width = 9,
height = 13
)
}8 Reproducibility
Open code
sessionInfo()
## R version 4.4.3 (2025-02-28)
## Platform: x86_64-pc-linux-gnu
## Running under: Ubuntu 22.04.5 LTS
##
## Matrix products: default
## BLAS: /usr/lib/x86_64-linux-gnu/blas/libblas.so.3.10.0
## LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.10.0
##
## locale:
## [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
## [3] LC_TIME=cs_CZ.UTF-8 LC_COLLATE=en_US.UTF-8
## [5] LC_MONETARY=cs_CZ.UTF-8 LC_MESSAGES=en_US.UTF-8
## [7] LC_PAPER=cs_CZ.UTF-8 LC_NAME=C
## [9] LC_ADDRESS=C LC_TELEPHONE=C
## [11] LC_MEASUREMENT=cs_CZ.UTF-8 LC_IDENTIFICATION=C
##
## time zone: Europe/Prague
## tzcode source: system (glibc)
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] vegan_2.6-6.1 lattice_0.22-5 permute_0.9-7
## [4] zCompositions_1.5.0-4 truncnorm_1.0-8 NADA_1.6-1.1
## [7] survival_3.7-0 MicrobiomeStat_1.2 glmnet_4.1-8
## [10] pROC_1.18.0 arm_1.12-2 lme4_1.1-35.5
## [13] Matrix_1.7-0 MASS_7.3-65 car_3.1-2
## [16] carData_3.0-5 emmeans_1.10.4 brms_2.21.0
## [19] Rcpp_1.0.13 rms_6.8-1 Hmisc_5.1-3
## [22] glmmTMB_1.1.9 ggtext_0.1.2 ggdist_3.3.2
## [25] cowplot_1.1.1 ggpubr_0.4.0 sjPlot_2.8.16
## [28] kableExtra_1.4.0 flextable_0.9.6 gtsummary_2.0.2
## [31] compositions_2.0-8 janitor_2.2.0 stringi_1.8.7
## [34] lubridate_1.9.4 forcats_1.0.0 stringr_1.5.1
## [37] dplyr_1.1.4 purrr_1.0.4 readr_2.1.5
## [40] tidyr_1.3.1 tibble_3.3.0 ggplot2_3.5.1
## [43] tidyverse_1.3.1 readxl_1.3.1 openxlsx_4.2.8
## [46] RJDBC_0.2-10 rJava_1.0-11 DBI_1.2.3
##
## loaded via a namespace (and not attached):
## [1] fs_1.6.6 matrixStats_1.3.0 httr_1.4.2
## [4] insight_0.20.2 numDeriv_2016.8-1.1 tools_4.4.3
## [7] backports_1.5.0 utf8_1.2.6 sjlabelled_1.2.0
## [10] R6_2.6.1 mgcv_1.9-1 withr_3.0.2
## [13] Brobdingnag_1.2-7 prettyunits_1.2.0 gridExtra_2.3
## [16] bayesm_3.1-6 quantreg_5.98 cli_3.6.5
## [19] textshaping_0.3.6 performance_0.12.2 officer_0.6.6
## [22] sandwich_3.0-1 labeling_0.4.2 mvtnorm_1.1-3
## [25] robustbase_0.93-9 polspline_1.1.25 ggridges_0.5.3
## [28] askpass_1.1 QuickJSR_1.3.1 commonmark_1.9.1
## [31] systemfonts_1.0.4 StanHeaders_2.32.10 foreign_0.8-90
## [34] gfonts_0.2.0 svglite_2.1.3 rstudioapi_0.16.0
## [37] httpcode_0.3.0 generics_0.1.4 shape_1.4.6
## [40] distributional_0.4.0 zip_2.2.0 inline_0.3.19
## [43] loo_2.4.1 abind_1.4-5 lifecycle_1.0.4
## [46] multcomp_1.4-18 yaml_2.3.10 snakecase_0.11.1
## [49] grid_4.4.3 promises_1.2.0.1 crayon_1.5.3
## [52] haven_2.4.3 pillar_1.11.0 knitr_1.50
## [55] statip_0.2.3 boot_1.3-31 estimability_1.5.1
## [58] codetools_0.2-19 glue_1.7.0 V8_4.4.2
## [61] fontLiberation_0.1.0 data.table_1.15.4 vctrs_0.6.5
## [64] cellranger_1.1.0 gtable_0.3.0 assertthat_0.2.1
## [67] datawizard_0.12.2 xfun_0.52 mime_0.12
## [70] coda_0.19-4 modeest_2.4.0 timeDate_3043.102
## [73] iterators_1.0.14 statmod_1.4.36 TH.data_1.1-0
## [76] nlme_3.1-168 fontquiver_0.2.1 rstan_2.32.6
## [79] fBasics_4041.97 tensorA_0.36.2.1 TMB_1.9.14
## [82] rpart_4.1.24 colorspace_2.0-2 nnet_7.3-20
## [85] tidyselect_1.2.1 processx_3.8.4 timeSeries_4032.109
## [88] compiler_4.4.3 curl_6.4.0 rvest_1.0.2
## [91] htmlTable_2.4.0 SparseM_1.81 xml2_1.3.3
## [94] fontBitstreamVera_0.1.1 posterior_1.6.0 checkmate_2.3.2
## [97] scales_1.3.0 DEoptimR_1.0-10 callr_3.7.6
## [100] spatial_7.3-15 digest_0.6.37 minqa_1.2.4
## [103] rmarkdown_2.27 htmltools_0.5.8.1 pkgconfig_2.0.3
## [106] base64enc_0.1-3 stabledist_0.7-2 dbplyr_2.1.1
## [109] fastmap_1.2.0 rlang_1.1.6 htmlwidgets_1.6.4
## [112] shiny_1.9.1 farver_2.1.0 zoo_1.8-9
## [115] jsonlite_2.0.0 magrittr_2.0.3 Formula_1.2-4
## [118] bayesplot_1.8.1 munsell_0.5.0 gdtools_0.3.7
## [121] stable_1.1.6 plyr_1.8.6 pkgbuild_1.3.1
## [124] parallel_4.4.3 ggrepel_0.9.5 sjmisc_2.8.10
## [127] ggeffects_1.7.0 splines_4.4.3 gridtext_0.1.5
## [130] hms_1.1.3 sjstats_0.19.0 ps_1.7.7
## [133] uuid_1.0-3 markdown_1.13 ggsignif_0.6.3
## [136] stats4_4.4.3 rmutil_1.1.10 rstantools_2.1.1
## [139] crul_1.5.0 reprex_2.0.1 evaluate_1.0.4
## [142] RcppParallel_5.1.8 modelr_0.1.8 nloptr_2.0.0
## [145] tzdb_0.5.0 foreach_1.5.2 httpuv_1.6.5
## [148] MatrixModels_0.5-3 openssl_1.4.6 clue_0.3-65
## [151] broom_1.0.6 xtable_1.8-4 rstatix_0.7.0
## [154] later_1.3.0 viridisLite_0.4.0 ragg_1.4.0
## [157] lmerTest_3.1-3 cluster_2.1.8.1 timechange_0.3.0
## [160] bridgesampling_1.1-2References
Lenth, Russell V. 2024. “Emmeans: Estimated Marginal Means, Aka Least-Squares Means.” https://CRAN.R-project.org/package=emmeans.