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MbioAssy2.0 Update
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###@author: Feng Ju | ||
###@email: [email protected] | ||
###@cite Ju F, Xia Y, Guo F, Wang ZP, Zhang T. 2014. | ||
###@Taxonomic relatedness shapes bacterial assembly in activated sludge of globally distributed wastewater treatment plants. | ||
###@Environmental Microbiology. 16(8):2421-2432 | ||
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library(igraph) | ||
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#set the size of random network | ||
n=2194 #number of nodes | ||
e=44680 #number of edges | ||
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#generate 1000 random networks | ||
for (i in 1:1000) { | ||
g <- erdos.renyi.game(n, e,'gnm',weight=T,mode="undirected") | ||
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# Global toplogical features | ||
c <- cluster_walktrap(g) | ||
md <- modularity(g, membership(c), weights = NULL) | ||
cc <- transitivity(g, vids = NULL, | ||
weights = NULL) | ||
spl <- average.path.length(g, directed=FALSE, unconnected=TRUE) | ||
gd <- graph.density(g, loops=FALSE) | ||
nd <- diameter(g, directed = FALSE, unconnected = TRUE, weights = NULL) | ||
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ND <- degree(g, v = V(g), mode="all") | ||
ad <- mean(node.degree) | ||
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global.topol <- data.frame(n,e,cc,spl,md,gd,nd,ad) | ||
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write.table(global.topol, file = sprintf("N%dE%d.er.random.network.xls",n,e), | ||
append = TRUE, sep = "\t",row.names = FALSE, col.names = TRUE) } | ||
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# print node distribution statistics | ||
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degree <- data.frame(table(degree=factor(ND, levels=seq_len(max(ND))))) | ||
###@author: Feng Ju | ||
###@email: [email protected] | ||
###@cite Ju F, Xia Y, Guo F, Wang ZP, Zhang T. 2014. | ||
###@Taxonomic relatedness shapes bacterial assembly in activated sludge of globally distributed wastewater treatment plants. | ||
###@Environmental Microbiology. 16(8):2421-2432 | ||
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library(igraph) | ||
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#set the size of random network | ||
n=2194 #number of nodes | ||
e=44680 #number of edges | ||
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#generate 1000 random networks | ||
for (i in 1:1000) { | ||
g <- erdos.renyi.game(n, e,'gnm',weight=T,mode="undirected") | ||
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# Global toplogical features | ||
c <- cluster_walktrap(g) | ||
md <- modularity(g, membership(c), weights = NULL) | ||
cc <- transitivity(g, vids = NULL, | ||
weights = NULL) | ||
spl <- average.path.length(g, directed=FALSE, unconnected=TRUE) | ||
gd <- graph.density(g, loops=FALSE) | ||
nd <- diameter(g, directed = FALSE, unconnected = TRUE, weights = NULL) | ||
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ND <- degree(g, v = V(g), mode="all") | ||
ad <- mean(node.degree) | ||
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global.topol <- data.frame(n,e,cc,spl,md,gd,nd,ad) | ||
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write.table(global.topol, file = sprintf("N%dE%d.er.random.network.xls",n,e), | ||
append = TRUE, sep = "\t",row.names = FALSE, col.names = TRUE) } | ||
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# print node distribution statistics | ||
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degree <- data.frame(table(degree=factor(ND, levels=seq_len(max(ND))))) | ||
plot(degree) |
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## MbioAssy1.0 | ||
### This folder contains R scripts for microbial community assembly analyses, including NST calculation, neutral model analysis, C-score variance analysis, co-occurrence network analysis, and generation of random newtorks. | ||
input includes a) abundance table of microbial entities (e.g., OTUs, ASVs), each row is a sample, each column is an OTU. | ||
b) a one-column matrix indicating the group of each sample (only used in NST calculation) | ||
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Note: a minimum number of 20 samples is suggested for meaningful network topoloigcal analyses and co-occurrence pattern statistics; | ||
Time-series data or local scale samples are also recommended for the analyses, but samples with large spatial scale or heterogeneities may lead to bias. | ||
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### Functions: | ||
### 1_NST.R | ||
This script uses a developed R package NST (Reference doi:10.1073/pnas.1904623116) to calculate NST (normalized stochasticity ratio), which range from 0 to 100% and provides quantitative assessment of ecological stochasticity based on null model. A larger NST represents the community is more affected by stochasticity. | ||
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Reference to cite: | ||
1. Zhang L, Yin W, Wang C, Zhang AJ, Zhang H, Ju F. 2021. Untangling Microbiota Diversity and Assembly Patterns in the World's Largest Water Diversion Canal. Water Research. 117617. https://www.sciencedirect.com/science/article/pii/S0043135421008125 | ||
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### 2_Neutral_model.R | ||
This script was modified from (Reference doi:10.1038/ismej.2015.142) and used to compare observed community composition with that predicted by a neutral assembly model(Reference doi:10.1111/j.1462-2920.2005.00956.x),which assumes that community assembly is only driven by chance and dispersal.The results were output as a visualized figure and a detailed table which contains information of observed and predicted community composition. | ||
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Reference to cite: | ||
1. Zhang L, Yin W, Wang C, Zhang AJ, Zhang H, Ju F. 2021. Untangling Microbiota Diversity and Assembly Patterns in the World's Largest Water Diversion Canal. Water Research. 117617. https://www.sciencedirect.com/science/article/pii/S0043135421008125 | ||
2. Niederdorfer R, Fragner L, Yuan L, Hausherr D, Wei J, Magyar P, Joss A, Lehmann MF, Ju F, Helmut Bürgmann. 2021. Distinct growth stages controlled by the interplay of deterministic and stochastic processes in functional anammox biofilms. Water Research. 200:117225 | ||
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### 3_C-score-var.R | ||
This script was for the checkerboard score variance(C-score-var) analysis of non-random species co-occurrence patterns. Cite: | ||
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Reference to cite: | ||
1. Niederdorfer R, Fragner L, Yuan L, Hausherr D, Wei J, Magyar P, Joss A, Lehmann MF, Ju F, Helmut Bürgmann. 2021. Distinct growth stages controlled by the interplay of deterministic and stochastic processes in functional anammox biofilms. Water Research. 200:117225 https://www.sciencedirect.com/science/article/pii/S0043135421004231 | ||
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### 4_Co-occurrence_network.R | ||
This script first defines the function "co_occurrence_network" to generate a filtered gml-formatted network file based on all pairwise Spearman's correlations and FDR-adjusted P-value calculation and filtration, and then uses input abundance table to generate co-occurrence network which can be further visulized and explored in Gephi (https://gephi.org/) or Cytoscape (https://cytoscape.org/). | ||
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Reference to cite: | ||
1. Ju F, Zhang T. 2015. Bacterial assembly and temporal dynamics in activated sludge of a full-scale municipal wastewater treatment plant. The ISME Journal. 9: 683-695 | ||
2. Ju F, Xia Y, Guo F, Wang ZP, Zhang T*.2014. Taxonomic relatedness shapes bacterial assembly in activated sludge ofglobally distributed wastewater treatment plants. Environmental Microbiology.16(8):2421-2432 | ||
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### 5_Random_network.R | ||
This script was for generating 10000 or other numbers of random network to topologically compared against an observed network | ||
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Reference to cite: | ||
1. Ju F, Xia Y, Guo F, Wang ZP, Zhang T*.2014. Taxonomic relatedness shapes bacterial assembly in activated sludge ofglobally distributed wastewater treatment plants. Environmental Microbiology.16(8):2421-2432 | ||
https://onlinelibrary.wiley.com/doi/10.1111/1462-2920.12355 | ||
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### MbioAssy1.0 | ||
This script integrates the above modules which use the same abundance table of microbial entities as input. Pls cite the link and corresponding papers if you find the scripts useful. Pls cite the package as: | ||
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MbioAssy1.0: https://github.com/emblab-westlake/MbioAssy1.0/ |
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###@email [email protected] | ||
# input includes a) abundance table of microbial entities (e.g., OTUs, ASVs), | ||
# each row is a sample, each column is an OTU | ||
# b) a one-column matrix indicating the group of each sample | ||
table <- t(read.table( | ||
'example_input/OTU.txt',sep = '\t',header = T, row.names = 1)) | ||
sample_group = read.table( | ||
'example_input/Group.txt',sep = '\t', header = T, row.names = 1) | ||
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table <- as.matrix(table) | ||
table <- table[which(rowSums(table) > 0),] | ||
table <- table[,which(colSums(table) > 0)] | ||
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# 1 | ||
# normalized stochasticity ratio (NST) calculation | ||
# Reference: Daliang Ning, Ye Deng, James M. Tiedje, Jizhong Zhou. (2019) | ||
# A general framework for quantitatively assessing ecological stochasticity. | ||
# Proceedings of the National Academy of Sciences 116:34, 16892-16898. | ||
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# NST calculation | ||
if (!requireNamespace("NST", quietly=TRUE)) | ||
install.packages("NST") | ||
library("NST") | ||
nst = tNST( | ||
comm = table, | ||
group = sample_group, | ||
dist.method = "jaccard", | ||
abundance.weighted = TRUE, | ||
rand = 20, | ||
null.model = "PF") | ||
# for argument 'rand', 1000 is recommended; here set rand=20 to save test time | ||
nst.sum=nst$index.grp | ||
#View(nst.sum) | ||
# output results | ||
write.table(nst.sum,'NST.output.txt',sep="\t", quote = F, row.names = F) |
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###@email [email protected] | ||
# input includes abundance table of microbial entities (e.g., OTUs, ASVs), | ||
# each row is a sample, each column is an OTU | ||
table = t(read.table( | ||
'example_input/OTU.txt',sep = '\t',header = T, row.names = 1)) | ||
table <- as.matrix(table) | ||
table <- table[which(rowSums(table) > 0),] | ||
table <- table[,which(colSums(table) > 0)] | ||
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# 2 | ||
# This part of script was modified from a published research as below: | ||
# Neutral model | ||
# Reference:https://www.nature.com/articles/ismej2015142 {Burns et al.} (2016) | ||
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if (!requireNamespace("minpack.lm", quietly=TRUE)) | ||
install.packages("minpack.lm") | ||
if (!requireNamespace("Hmisc", quietly=TRUE)) | ||
install.packages("Hmisc") | ||
if (!requireNamespace("stats4", quietly=TRUE)) | ||
install.packages("stats4") | ||
require(minpack.lm) | ||
require(Hmisc) | ||
require(stats4) | ||
require(ggplot2) | ||
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# Define function fit_sncm | ||
# which returns several fitting statistics as well as predicted occurrence frequencies | ||
# for each ASV from an ASV table based on their abundance in the metacommunity | ||
fit_sncm <- function(spp, pool=NULL, taxon=NULL){ | ||
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options(warn=-1) | ||
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# Calculate the number of individuals per community | ||
N <- mean(apply(spp, 1, sum)) | ||
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# Calculate the average relative abundance of each taxa across communities | ||
if(is.null(pool)){ | ||
p.m <- apply(spp, 2, mean) | ||
p.m <- p.m[p.m != 0] | ||
p <- p.m/N | ||
} else { | ||
p.m <- apply(pool, 2, mean) | ||
p.m <- p.m[p.m != 0] | ||
p <- p.m/N | ||
} | ||
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# Calculate the occurrence frequency of each taxa across communities | ||
spp.bi <- 1*(spp>0) | ||
freq <- apply(spp.bi, 2, mean) | ||
freq <- freq[freq != 0] | ||
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# Combine | ||
C <- merge(p, freq, by=0) | ||
C <- C[order(C[,2]),] | ||
C <- as.data.frame(C) | ||
# Removes rows with any zero (absent in either source pool or local communities) | ||
C.0 <- C[!(apply(C, 1, function(y) any(y == 0))),] | ||
p <- C.0[,2] | ||
freq <- C.0[,3] | ||
names(p) <- C.0[,1] | ||
names(freq) <- C.0[,1] | ||
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# Calculate the limit of detection | ||
d = 1/N | ||
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# Fit model parameter m (or Nm) using Non-linear least squares (NLS) | ||
m.fit <- nlsLM(freq ~ pbeta(d, N*m*p, N*m*(1-p), lower.tail=FALSE), start=list(m=0.001)) | ||
m.ci <- confint(m.fit, 'm', level=0.95) | ||
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# Calculate goodness-of-fit (R-squared and Root Mean Squared Error) | ||
freq.pred <- pbeta(d, N*coef(m.fit)*p, N*coef(m.fit)*(1-p), lower.tail=FALSE) | ||
Rsqr <- 1 - (sum((freq - freq.pred)^2))/(sum((freq - mean(freq))^2)) | ||
RMSE <- sqrt(sum((freq-freq.pred)^2)/(length(freq)-1)) | ||
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pred.ci <- binconf(freq.pred*nrow(spp), nrow(spp), alpha=0.05, method="wilson", return.df=TRUE) | ||
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# Calculate AIC for Poisson model | ||
pois.LL <- function(mu, sigma){ | ||
R = freq - ppois(d, N*p, lower.tail=FALSE) | ||
R = dnorm(R, mu, sigma) | ||
-sum(log(R)) | ||
} | ||
pois.mle <- mle(pois.LL, start=list(mu=0, sigma=0.1), nobs=length(p)) | ||
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aic.pois <- AIC(pois.mle, k=2) | ||
bic.pois <- BIC(pois.mle) | ||
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# Goodness of fit for Poisson model | ||
pois.pred <- ppois(d, N*p, lower.tail=FALSE) | ||
Rsqr.pois <- 1 - (sum((freq - pois.pred)^2))/(sum((freq - mean(freq))^2)) | ||
RMSE.pois <- sqrt(sum((freq - pois.pred)^2)/(length(freq) - 1)) | ||
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pois.pred.ci <- binconf(pois.pred*nrow(spp), nrow(spp), alpha=0.05, method="wilson", return.df=TRUE) | ||
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# Results | ||
fitstats <- data.frame( | ||
m=as.numeric(coef(m.fit)), | ||
m.ci=as.numeric(coef(m.fit)-m.ci[1]), | ||
poisLL=as.numeric(pois.mle@details$value), | ||
Rsqr=as.numeric(Rsqr), # measuring fit, # comparing fit differing datasets to the same model | ||
Rsqr.pois=as.numeric(Rsqr.pois), | ||
RMSE=as.numeric(RMSE), # measuring fit # comparing fit differing datasets to the same model | ||
RMSE.pois=as.numeric(RMSE.pois), | ||
AIC.pois=as.numeric(aic.pois), # comparing differing models to the dataset | ||
BIC.pois=as.numeric(bic.pois), # comparing differing models to the dataset | ||
N=as.numeric(N), | ||
Samples=as.numeric(nrow(spp)), | ||
Richness=as.numeric(length(p)), | ||
Detect=as.numeric(d)) | ||
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A <- cbind(p, freq, freq.pred, pred.ci[,2:3]) | ||
A <- as.data.frame(A) | ||
colnames(A) <- c('p', 'freq', 'freq.pred', 'pred.lwr', 'pred.upr') | ||
if(is.null(taxon)){ | ||
B <- A[order(A[,1]),] | ||
} else { | ||
B <- merge(A, taxon, by=0, all=TRUE) | ||
row.names(B) <- B[,1] | ||
B <- B[,-1] | ||
B <- B[order(B[,1]),] | ||
} | ||
B <- B[!is.na(B$freq),] | ||
# fit_class for graphing | ||
B$fit_class <-"As predicted" | ||
B[which(B$freq < B$pred.lwr),"fit_class"]<- "Below prediction" | ||
B[which(B$freq > B$pred.upr),"fit_class"]<- "Above prediction" | ||
B[which(is.na(B$freq)),"fit_class"]<- "NA" | ||
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# combine fit stats and predicitons into list | ||
i <- list(fitstats, B) | ||
names(i) <- c("fitstats", "predictions") | ||
return(i) | ||
} | ||
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# define function plot_sncm_fit | ||
# to plot the output from fit_sncm by ggpolt2 | ||
plot_sncm_fit <- function(spp.out, fill = NULL, title = NULL){ | ||
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tax_levels <- colnames(spp.out$predictions)[7:length(colnames(spp.out$predictions))-1] | ||
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if(is.null(fill)){ | ||
fill <- "fit_class" | ||
} | ||
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r2_val <- paste("r^2 ==", round(spp.out$fitstats$Rsqr,4)) | ||
m_val <- paste("m ==", round(spp.out$fitstats$m,4)) | ||
df <- data.frame(t(table(spp.out$predictions$fit_class))) | ||
df <- df[,c(2,3)] | ||
colnames(df) <- c("Prediction", "AVS Abundance") | ||
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p <- ggplot(data=spp.out$predictions) | ||
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if(fill == "fit_class"){ | ||
p <- p + geom_point(aes(x = log(p), y = freq, fill=eval(parse(text=fill))), shape =21, color="black", size =2, alpha=0.75) | ||
p <- p + scale_fill_manual( | ||
name = "Prediction", | ||
values = c("Above prediction" = "seagreen", "As predicted" = "black", "Below prediction" = "tan1", "NA" = "white"), | ||
breaks = c("Above prediction", "As predicted", "Below prediction", "NA"), | ||
labels = c(paste0("Above prediction (",round((df[1,2]/spp.out$fitstats$Richness)*100, 1),"%)"), | ||
paste0("As predicted (",round((df[2,2]/spp.out$fitstats$Richness)*100, 1),"%)"), | ||
paste0("Below Prediction (",round((df[3,2]/spp.out$fitstats$Richness)*100, 1),"%)"), | ||
paste0("NA (",df[4,2],")"))) | ||
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}else if (fill %in% tax_levels){ | ||
p <- p + geom_point(aes(x = log(p), y = freq, fill=eval(parse(text=fill))), shape =21, color="black", size =2, alpha=0.75) | ||
p <- p + scale_fill_discrete(name = "Taxon") | ||
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} else{ | ||
print(paste0("fill variable: ", fill, " is not a valid taxonomic level or fit_class")) | ||
} | ||
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p <- p + geom_line(aes(x = log(p), y = freq.pred), color = "dodgerblue4", lwd=1.5) | ||
p <- p + geom_line(aes(x = log(p), y = pred.lwr), color = "dodgerblue4", linetype="dashed", lwd=1.5) | ||
p <- p + geom_line(aes(x = log(p), y = pred.upr), color = "dodgerblue4", linetype="dashed", lwd=1.5) | ||
p <- p + xlab("log(Mean Relative Abundance)") | ||
p <- p + ylab("Frequency") | ||
p <- p + ggtitle(title) | ||
p <- p + annotate("text", x=-5, y=0.65, size=5, label = r2_val, parse=TRUE) | ||
p <- p + annotate("text", x=-5, y=0.5, size=5, label = m_val, parse=TRUE) | ||
p <- p + theme_bw() | ||
p <- p + theme(panel.grid=element_blank(),element_line(size=1,colour="black")) | ||
return(p) | ||
} | ||
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# Neutral model analysis and visualization using the example ASV table | ||
nm.out <- fit_sncm(table) | ||
p <- plot_sncm_fit(nm.out,title = 'Test') | ||
pdf('Neutral.model.plot.pdf',width = 6,height = 4) | ||
p | ||
dev.off() | ||
write.table(nm.out$predictions,file = 'Neutral.model.details.txt',sep = '\t', | ||
quote = F) |
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