ggnetwork
ggnetwork
ggnetwork
PeRl
简介
ggnetwork是根据ggplot2的语法,开发的用于网络图可视化的包.虽然igraph是优秀的network处理包,但是在可视化方面依然是弱势,为了加强网络可视化,在这里,我们结合igraph和ggnetwork填补igraph的空白. 在使用时,需要下载一下依赖包:
install.packages(c("ggplot2", "igraph", "ggnetwork", "sna", "intergraph"))
ggnetwork
整个包都围绕ggnetwork
函数展开,为了能和igraph相结合,我们需要intergraph将igraph对象转换为可用的network对象,具体参数如下:
ggnetwork(x, ...)
其中x
是一个network对象或igraph对象. 例如,随意建立一个igraph网络,转换为ggnetwork对象:
- 首先载入需要的包:
library(ggplot2)
library(ggnetwork)
library(igraph)
library(sna)
library(intergraph)
- 建立简单igraph网络
edge_df <- data.frame(
Source = c("A", "B", "C", "D", "F"),
Target = c("B", "D", "A", "E", "B")
)
igraph_net <- graph_from_edgelist(as.matrix(edge_df), directed = F)
V(igraph_net)$weight <- 1:5#点的权重
## Warning in vattrs[[name]][index] <- value: 被替换的项目不是替换值长度的倍数
node_count <- length(V(igraph_net))
V(igraph_net)$class <- sample(c("lncRNA","miRNA","gene"), node_count, replace = T)#点的权重
通过edge的信息,我们构建了一个igraph网络
igraph_net
## IGRAPH UN-- 6 5 --
## + attr: name (v/c), weight (v/n), class (v/c)
## + edges (vertex names):
## [1] A--B B--D A--C D--E B--F
简单利用igraph内置的plot
可视化
plot(igraph_net)
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" alt="" width="672" />
- 利用ggnetwork可视化
由于ggnetwork脱胎于ggplot2,所以+
依然在ggnetwork中起了至关重要的作用.而geom_edges
与geom_nodes
则是整个包可视化network的核心. 利用ggnetwork
得到ggnetwork对象:
ggnetwork_net <- ggnetwork(x = igraph_net)
head(ggnetwork_net)
## x y class na.x vertex.names weight xend
## 1 0.76175696 0.4648356 lncRNA FALSE A 1 0.76175696
## 2 0.33427150 0.3553622 gene FALSE B 2 0.33427150
## 3 0.03084336 0.6462895 gene FALSE D 3 0.03084336
## 4 1.00000000 0.7479681 gene FALSE C 4 1.00000000
## 5 0.00000000 1.0000000 lncRNA FALSE E 5 0.00000000
## 6 0.22656508 0.0000000 lncRNA FALSE F 1 0.22656508
## yend na.y
## 1 0.4648356 NA
## 2 0.3553622 NA
## 3 0.6462895 NA
## 4 0.7479681 NA
## 5 1.0000000 NA
## 6 0.0000000 NA
从ggnetwork_net
的返回值,我们可以清楚的了解到ggnetwork的工作原理,其实就是在二维平面上画点.
ggplot(data = ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges() +
geom_point() +
theme_blank()
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" alt="" width="672" /> 通过以上步骤,我们得到了一个最简单的可视化结果,接下来我们需要对图像进行一定程度的修饰.
针对边的修饰
经常我们需要对边的颜色进行改变,和ggplot2一样,我们只需要改变colour
属性就行了.
ggplot(data = ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges(colour = "#FF00FF") +
geom_point() +
theme_blank()
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" alt="" width="672" />
同样,我们也可以修饰边的粗细和线型:
ggplot(data = ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges(colour = "#FF00FF", size = 2, linetype = 2) +
geom_point() +
theme_blank()
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" alt="" width="672" />
针对点的修饰
和边类似,我们可以修饰点的大小和颜色.
ggplot(data = ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges(colour = "grey50") +
geom_point(aes(colour = class, size = weight)) +
theme_blank()
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" alt="" width="672" />
而和边不同,通常情况下,我们都需要在图中展示点的标签,此时,我们需要geom_nodetext
来帮助我们做到这一点
ggplot(data = ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges(colour = "grey50") +
geom_point(aes(colour = class, size = weight)) +
geom_nodetext(aes(label = vertex.names),
fontface = "bold")+
theme_blank()
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" alt="" width="672" />
虽然把标签放在点中央还不错,但是通常情况下,我们用在生物学网络中时标签名会很长,这样就会显得很不合适,因此我们需要调整标签的位置. 而且有时候我们不需要把所有的标签都列出来.只需要把重要的node信息标注就行了.
ggplot(data = ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges(colour = "grey50") +
geom_point(aes(colour = class, size = weight)) +
geom_nodetext(data = ggnetwork_net[1:3,],aes(label = vertex.names),
fontface = "bold",
nudge_x = 0.04,
nudge_y = -0.04)+
theme_blank()
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" alt="" width="672" />
layout
sna
提供了许多不同的layout:
circle | eigen | fruchtermanreingold | hall | kamadakawai | mds | princoord | random | spring | target |
更细致的描述可以上包中查询.
简单的示例:
new_ggnetwork_net <- ggnetwork(igraph_net, layout = "circle")
ggplot(data = new_ggnetwork_net, aes(x = x, y = y, xend = xend, yend = yend)) +
geom_edges(colour = "grey50") +
geom_point(aes(colour = class, size = weight)) +
geom_nodetext(aes(label = vertex.names),
fontface = "bold",
nudge_x = 0.04,
nudge_y = -0.04)+
theme_blank()
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