Creating ggplot geom_point() with position dodge 's-shape' - r

Question

I am trying to create a plot like the one below. I'd like the order the points in each category in such a way that they form an s-shape. Is it possible to do this in ggplot?
Similar data available here
What I have so far:
somatic.variants <- read.delim("data/Lawrence.S2.txt", stringsAsFactors=T)
cancer_rates <- tapply(somatic.variants$logn_coding_mutations, somatic.variants$tumor_type, median)
cancer_rates <- cancer_rates[order(cancer_rates, decreasing=F)]
somatic.variants$tumor_type <- factor(somatic.variants$tumor_type, levels = names(cancer_rates))
library(ggplot2)
library(GGally)
ggplot(data = somatic.variants,
mapping = aes(x = tumor_type,
y = log10(n_coding_mutations))) +
geom_point(position = position_dodge2()) +
scale_x_discrete(position = "top") +
scale_y_continuous(labels = c(0,10,100,1000,10000), expand = c(0,0)) +
geom_stripped_cols() +
theme_bw() +
theme(axis.title.x = element_blank(),
axis.text.x = element_text(angle = 315, hjust = 1, size = 12),
panel.grid = element_blank()) +
labs(y = "Coding mutations count") +
stat_summary(fun = median,
geom="crossbar",
size = 0.25,
width = 0.9,
group = 1,
show.legend = FALSE,
color = "#FF0000")

Answer 1

This could be achieved by
grouping the data by x-axis categories
arranging by the y-axis value
which ensures that the points are plotted in ascending order of the values for each category.
somatic.variants <- read.delim("https://gist.githubusercontent.com/wudustan/57deecdaefa035c1ecabf930afde295a/raw/1594d51a1e3b52f674ff746caace3231fd31910a/Lawrence.S2.txt", stringsAsFactors=T)
cancer_rates <- tapply(somatic.variants$logn_coding_mutations, somatic.variants$tumor_type, median)
cancer_rates <- cancer_rates[order(cancer_rates, decreasing=F)]
somatic.variants$tumor_type <- factor(somatic.variants$tumor_type, levels = names(cancer_rates))
library(ggplot2)
library(GGally)
library(dplyr)
somatic.variants <- somatic.variants %>%
group_by(tumor_type) %>%
arrange(n_coding_mutations)
ggplot(data = somatic.variants,
mapping = aes(x = tumor_type,
y = log10(n_coding_mutations))) +
geom_point(position = position_dodge2(.9), size = .25) +
scale_x_discrete(position = "top") +
scale_y_continuous(labels = c(0,10,100,1000,10000), expand = c(0,0)) +
geom_stripped_cols() +
theme_bw() +
theme(axis.title.x = element_blank(),
axis.text.x = element_text(angle = 315, hjust = 1, size = 12),
panel.grid = element_blank()) +
labs(y = "Coding mutations count") +
stat_summary(fun = median,
geom="crossbar",
size = 0.25,
width = 0.9,
group = 1,
show.legend = FALSE,
color = "#FF0000")
#> Warning: Removed 29 rows containing non-finite values (stat_summary).