Just quickly exploring two questions: How much heterozygousity is there in the bean samples, and how much does heterozygousity vary by bean variety?

I used Tassel to obtain a summary table of heterozygousity for each “taxa” (i.e., individual) in the vcf file. This vcf file was filtered so that each SNP present was genotyped in >33% of individuals. It was also filtered so that SNPs had to have a MAF of at least 1%. I don’t think either of these filters should change the analysis significantly… though these filters do remove about 2.5 million SNPs from the analysis.

This analysis is genome-wide, on 639127 SNPs. Here’s a basic summary of the data file. The proportion of heterozygousity in each individual varies from almost nothing to about 22%:

      Taxa                Taxa.Name   Number.of.Sites  Gametes.Missing   Proportion.Missing Number.Heterozygous
 Min.   :  0.0   CDBN_001_1543 :  1   Min.   :639127   Min.   :  36766   Min.   :0.02876    Min.   :     4     
 1st Qu.:150.8   CDBN_002_2242 :  1   1st Qu.:639127   1st Qu.: 207874   1st Qu.:0.16262    1st Qu.: 17351     
 Median :301.5   CDBN_003_5229 :  1   Median :639127   Median : 308012   Median :0.24096    Median : 31787     
 Mean   :301.5   CDBN_004_5501 :  1   Mean   :639127   Mean   : 356238   Mean   :0.27869    Mean   : 38999     
 3rd Qu.:452.2   CDBN_005_54028:  1   3rd Qu.:639127   3rd Qu.: 426188   3rd Qu.:0.33341    3rd Qu.: 55641     
 Max.   :603.0   CDBN_006_55012:  1   Max.   :639127   Max.   :1267156   Max.   :0.99132    Max.   :134793     
                 (Other)       :598                                                                            
 Proportion.Heterozygous            Inbreeding.Coefficient Inbreeding.Coefficient.Scaled.by.Missing
 Min.   :0.0002762       Inbreeding Coefficient:604        ICSBM:604                               
 1st Qu.:0.0418125                                                                                 
 Median :0.0659900                                                                                 
 Mean   :0.0759546                                                                                 
 3rd Qu.:0.1030775                                                                                 
 Max.   :0.2262500                                                                                 
                                                                                                   

Here’s a sorted table for the proportion of heterozygous sites per taxa.

(SNPs.noncom <- SNPs.604 %>%
  filter(!grepl('combined', Taxa.Name)) %>% # Selects 523 rows that were not combined data.
   select(Taxa.Name, Proportion.Missing, Proportion.Heterozygous) %>% 
   arrange(desc(Proportion.Heterozygous))        # Arrange the table so that the greatest heterozygousity comes first.
 )

The immediate problem is that there is a negative relationship between the proportion of sites missing and the proportion of heterozygous sites.

  ggplot(SNPs.noncom, mapping = aes(x = Proportion.Heterozygous, y = Proportion.Missing)) + 
     geom_point() + geom_smooth()

If we get rid of taxa with different percentages of sites that are missing, it looks like heterozygousity is quite high in these varieties - at least 7% heterozygousity on average, but probably upwards of 10% if we account for missing data or low coverage in some taxa.

(Het.summary <- SNPs.604 %>%
  filter(!grepl('combined', Taxa.Name)) %>%           # Selects 523 rows that were not combined data.
   arrange(desc(Proportion.Heterozygous)) %>%        # Arrange the table so that the greatest heterozygousity comes first.
   summarise(het.75percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.75]),
             het.50percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.50]),
             het.25percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.25]),
             het.12.5percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.125]),
             het.6.25percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.0625]),
             no.6.25percent.missing = sum(!is.na(Proportion.Missing[Proportion.Missing <= 0.0625])))
   )

Ok, what about across positions in the genome? Are there any blocks in the genome that (for all taxa) are particularly heterozygous?

SNPs.sites <- read.table("C:/Users/ahm543/OneDrive/NSF Common Bean/CDBN Genomics/CDBN SNPs/8_Tassel/604_individual_genoSummary3.txt", sep = "\t", header = TRUE)
summary(SNP.sites)
Error in summary(SNP.sites) : object 'SNP.sites' not found

Here’s a summary of the genotypic data, averaged by site. The only really helpful thing here is that the Proportion.Heterozygous has really quite a low third quartile (0.09), which probably indicates there aren’t a huge number of problematic SNPs.

summary(SNPs.sites)
  Site.Number            Site.Name        Chromosome  Physical.Position  Number.of.Taxa Ref        Alt       
 Min.   :     0   S01_10007272:     1   Min.   :1.0   Min.   :     195   Min.   :604    A:130491   A:192829  
 1st Qu.:159782   S01_10007276:     1   1st Qu.:2.0   1st Qu.:11273856   1st Qu.:604    C:189176   C:126833  
 Median :319563   S01_10007277:     1   Median :4.0   Median :19925246   Median :604    G:188870   G:127192  
 Mean   :319563   S01_10007281:     1   Mean   :3.5   Mean   :20747115   Mean   :604    T:130590   T:192273  
 3rd Qu.:479345   S01_10007282:     1   3rd Qu.:5.0   3rd Qu.:28786009   3rd Qu.:604                         
 Max.   :639126   S01_10007291:     1   Max.   :7.0   Max.   :53433183   Max.   :604                         
                  (Other)     :639121                                                                        
 Major.Allele Major.Allele.Gametes Major.Allele.Proportion Major.Allele.Frequency Minor.Allele Minor.Allele.Gametes
 A:126368     Min.   : 191.0       Min.   :0.1581          Min.   :0.3031         A:197006     Min.   :  4.0       
 C:193706     1st Qu.: 580.0       1st Qu.:0.4801          1st Qu.:0.7125         C:122293     1st Qu.: 42.0       
 G:193374     Median : 692.0       Median :0.5728          Median :0.8475         G:122669     Median :132.0       
 T:125679     Mean   : 711.3       Mean   :0.5889          Mean   :0.8190         T:197159     Mean   :158.8       
              3rd Qu.: 839.0       3rd Qu.:0.6945          3rd Qu.:0.9503                      3rd Qu.:254.0       
              Max.   :1190.0       Max.   :0.9851          Max.   :0.9900                      Max.   :602.0       
                                                                                                                   
 Minor.Allele.Proportion Minor.Allele.Frequency Allele.3      Allele.3.Gametes  Allele.3.Proportion
 Min.   :0.00331         Min.   :0.01000        A   :  6323   Min.   :  0.000   Min.   :0.000000   
 1st Qu.:0.03477         1st Qu.:0.04917        C   :  3620   1st Qu.:  0.000   1st Qu.:0.000000   
 Median :0.10927         Median :0.15116        G   :  3870   Median :  0.000   Median :0.000000   
 Mean   :0.13143         Mean   :0.17963        T   :  6435   Mean   :  1.216   Mean   :0.001007   
 3rd Qu.:0.21026         3rd Qu.:0.28615        NA's:618879   3rd Qu.:  0.000   3rd Qu.:0.000000   
 Max.   :0.49834         Max.   :0.50000                      Max.   :356.000   Max.   :0.294700   
                                                                                                   
 Allele.3.Frequency Allele.4      Allele.4.Gametes    Allele.4.Proportion Allele.4.Frequency  Allele.5      
 Min.   :0.000000   A   :   210   Min.   :  0.00000   Min.   :0.000e+00   Min.   :0.000e+00   Mode:logical  
 1st Qu.:0.000000   C   :   180   1st Qu.:  0.00000   1st Qu.:0.000e+00   1st Qu.:0.000e+00   NA's:639127   
 Median :0.000000   G   :   178   Median :  0.00000   Median :0.000e+00   Median :0.000e+00                 
 Mean   :0.001313   T   :   230   Mean   :  0.02111   Mean   :1.748e-05   Mean   :2.149e-05                 
 3rd Qu.:0.000000   NA's:638329   3rd Qu.:  0.00000   3rd Qu.:0.000e+00   3rd Qu.:0.000e+00                 
 Max.   :0.330860                 Max.   :161.00000   Max.   :1.333e-01   Max.   :1.952e-01                 
                                                                                                            
 Allele.5.Gametes Allele.5.Proportion Allele.5.Frequency Allele.6       Allele.6.Gametes Allele.6.Proportion
 Min.   :0        Min.   :0           Min.   :0          Mode:logical   Min.   :0        Min.   :0          
 1st Qu.:0        1st Qu.:0           1st Qu.:0          NA's:639127    1st Qu.:0        1st Qu.:0          
 Median :0        Median :0           Median :0                         Median :0        Median :0          
 Mean   :0        Mean   :0           Mean   :0                         Mean   :0        Mean   :0          
 3rd Qu.:0        3rd Qu.:0           3rd Qu.:0                         3rd Qu.:0        3rd Qu.:0          
 Max.   :0        Max.   :0           Max.   :0                         Max.   :0        Max.   :0          
                                                                                                            
 Allele.6.Frequency Gametes.Missing Proportion.Missing Number.Heterozygous Proportion.Heterozygous
 Min.   :0          Min.   :  0.0   Min.   :0.0000     Min.   :  0.00      Min.   :0.00000        
 1st Qu.:0          1st Qu.:210.0   1st Qu.:0.1738     1st Qu.:  1.00      1st Qu.:0.00271        
 Median :0          Median :318.0   Median :0.2632     Median : 11.00      Median :0.02734        
 Mean   :0          Mean   :336.7   Mean   :0.2787     Mean   : 36.86      Mean   :0.07548        
 3rd Qu.:0          3rd Qu.:458.0   3rd Qu.:0.3791     3rd Qu.: 45.00      3rd Qu.:0.09978        
 Max.   :0          Max.   :808.0   Max.   :0.6689     Max.   :586.00      Max.   :0.97830        
                                                                                                  
 Inbreeding.Coefficient Inbreeding.Coefficient.Scaled.by.Missing
 TBD:639127             TBD:639127                              
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                

If you plot heterozygousity by chromosome, you see that my f***ing SNP calling did not actually finish the way I thought it did! It only got to chromosome 7! Ok, I may have to request a >>48hr job to finish calling these bastards.

If you just look at the SNPs I have, you see there are some spikes in heterozygousity in a few places that we should be concerned about (end of Chr1, 3, and 5 - I bet you anything these are R-gene clusters!).

ggplot(data = SNPs.sites, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex() + geom_smooth(color = "white") +
    facet_wrap( ~ Chromosome)

Let’s zoom in on different parts of Chromosome 1 to see if these are really hotspots. They are, pretty convincingly.

Chr1 <- filter(SNPs.sites, Chromosome == 1)
Chr1.pt1 <- filter(Chr1, Physical.Position < 2000000)
Chr1.pt2 <- filter(Chr1, Physical.Position %in% c(2000000:4000000))
Chr1.pt3 <- filter(Chr1, Physical.Position %in% c(4000000:5200000))
ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex(bins = 200)

ggplot(data = Chr1.pt2, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex(bins = 200)

ggplot(data = Chr1.pt3, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex(bins = 120)

Do these ‘heterozygousity hotspots’ map to frequency of major or minor alleles, or the proportion of missing alleles? There seems to perhaps be a relationship with all three. This makes me wonder if this pattern isn’t a heterozygousity problem so much as it is a reduced representation problem. What do you think??

ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
     geom_hex(mapping = aes(x = Physical.Position, y = Major.Allele.Frequency), bins = 120) + geom_line(color = "red")

ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
     geom_hex(mapping = aes(x = Physical.Position, y = Minor.Allele.Frequency), bins = 120) + geom_line(color = "red")

ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
     geom_hex(mapping = aes(x = Physical.Position, y = Proportion.Missing), bins = 120) + geom_line(color = "red")

---
title: "CDBN Individual Heterozygousity"
author: "Alice MacQueen"
date: '2017-10-04'
output:
  html_notebook: default
  html_document: default
  word_document: default
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(
  echo = TRUE,
  comment = "#>",
  collapse = TRUE)
library(tidyverse)
library(FactoMineR)
library(hexbin)

```

Just quickly exploring two questions: How much heterozygousity is there in the bean samples, and how much does heterozygousity vary by bean variety?

I used Tassel to obtain a summary table of heterozygousity for each "taxa" (i.e., individual) in the vcf file. This vcf file was filtered so that each SNP present was genotyped in >33% of individuals. It was also filtered so that SNPs had to have a MAF of at least 1%. I don't think either of these filters should change the analysis significantly... though these filters do remove about 2.5 million SNPs from the analysis. 

This analysis is genome-wide, on 639127 SNPs. Here's a basic summary of the data file. The proportion of heterozygousity in each individual varies from almost nothing to about 22%:

<!-- Read in the data. _(I mean to get this data to read from a URL, ultimately, but for now everyone will just have to deal with the fact that there are different directories for BeanGenie vs my lab computer, and other users will need to obtain and read in the file through some other means. Sorry about that.)_ 

`setwd("C:/Users/ahm543/OneDrive/NSF Common Bean/CDBN Genomics/Unimputed Data")`     # Lab Computer
`setwd("C:/Users/Alice/OneDrive/NSF Common Bean/CDBN Genomics/Unimputed Data")`      # Bean Genie -->

```{r Read in Data, echo = FALSE}
SNPs.short <- read.table("C:/Users/ahm543/OneDrive/NSF Common Bean/CDBN Genomics/CDBN SNPs/8_Tassel/All_610_14kSNPs_genoSummary.txt", sep = "\t", header = TRUE)
SNPs.604 <- read.table("C:/Users/ahm543/OneDrive/NSF Common Bean/CDBN Genomics/CDBN SNPs/8_Tassel/604_individual_genoSummary4.txt", sep = "\t", header = TRUE)

summary(SNPs.604)
```

Here's a sorted table for the proportion of heterozygous sites per taxa. 

```{r Summary Table for Non-combined Individual Heterozygousities}
(SNPs.noncom <- SNPs.604 %>%
  filter(!grepl('combined', Taxa.Name)) %>% # Selects 523 rows that were not combined data.
   select(Taxa.Name, Proportion.Missing, Proportion.Heterozygous) %>% 
   arrange(desc(Proportion.Heterozygous))        # Arrange the table so that the greatest heterozygousity comes first.
 )
```


The immediate problem is that there is a negative relationship between the proportion of sites missing and the proportion of heterozygous sites.

```{r Plotting Heterozygousity vs Missing Data}
  ggplot(SNPs.noncom, mapping = aes(x = Proportion.Heterozygous, y = Proportion.Missing)) + 
     geom_point() + geom_smooth()
```

If we get rid of taxa with different percentages of sites that are missing, it looks like heterozygousity is quite high in these varieties - **at least 7% heterozygousity on average, but probably upwards of 10% if we account for missing data or low coverage in some taxa.**

```{r}
(Het.summary <- SNPs.604 %>%
  filter(!grepl('combined', Taxa.Name)) %>%           # Selects 523 rows that were not combined data.
   arrange(desc(Proportion.Heterozygous)) %>%        # Arrange the table so that the greatest heterozygousity comes first.
   summarise(het.75percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.75]),
             het.50percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.50]),
             het.25percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.25]),
             het.12.5percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.125]),
             het.6.25percent.missing = mean(Proportion.Heterozygous[Proportion.Missing <= 0.0625]),
             no.6.25percent.missing = sum(!is.na(Proportion.Missing[Proportion.Missing <= 0.0625]))
             )
   )
```



Ok, what about across positions in the genome? Are there any blocks in the genome that (for all taxa) are particularly heterozygous?

```{r Read in Heterozygousity data by Site}
SNPs.sites <- read.table("C:/Users/ahm543/OneDrive/NSF Common Bean/CDBN Genomics/CDBN SNPs/8_Tassel/604_individual_genoSummary3.txt", sep = "\t", header = TRUE)

```
Here's a summary of the genotypic data, averaged by site. The only really helpful thing here is that the Proportion.Heterozygous has really quite a low third quartile (0.09), which probably indicates there aren't a huge number of problematic SNPs.

```{r Site Table Summary}

summary(SNPs.sites)
```

If you plot heterozygousity by chromosome, you see that my f***ing SNP calling did not actually finish the way I thought it did! It only got to chromosome 7! Ok, I may have to request a >>48hr job to finish calling these bastards.

If you just look at the SNPs I have, you see there are some spikes in heterozygousity in a few places that we should be concerned about (end of Chr1, 3, and 5 - I bet you anything these are R-gene clusters!).

```{r plot heterozygousity by chromosome}
ggplot(data = SNPs.sites, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex() + geom_smooth(color = "white") +
    facet_wrap( ~ Chromosome)

```

Let's zoom in on different parts of Chromosome 1 to see if these are really hotspots. They are, pretty convincingly.

```{r Chromosome 1 Heterozygousity by position}
Chr1 <- filter(SNPs.sites, Chromosome == 1)
Chr1.pt1 <- filter(Chr1, Physical.Position < 2000000)
Chr1.pt2 <- filter(Chr1, Physical.Position %in% c(2000000:4000000))
Chr1.pt3 <- filter(Chr1, Physical.Position %in% c(4000000:5200000))
ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex(bins = 200)
ggplot(data = Chr1.pt2, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex(bins = 200)
ggplot(data = Chr1.pt3, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
  geom_hex(bins = 120)

```


Do these 'heterozygousity hotspots' map to frequency of major or minor alleles, or the proportion of missing alleles? There seems to perhaps be a relationship with all three. This makes me wonder if this pattern isn't a heterozygousity problem so much as it is a reduced representation problem. What do you think??

```{r}
ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
     geom_hex(mapping = aes(x = Physical.Position, y = Major.Allele.Frequency), bins = 120) + geom_line(color = "red")

ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
     geom_hex(mapping = aes(x = Physical.Position, y = Minor.Allele.Frequency), bins = 120) + geom_line(color = "red")

ggplot(data = Chr1.pt1, mapping = aes(x = Physical.Position, y = Proportion.Heterozygous)) + 
     geom_hex(mapping = aes(x = Physical.Position, y = Proportion.Missing), bins = 120) + geom_line(color = "red")
```






















