Inbred Based Populations
Starting in version 2.0-0, OneMap
can also deal with inbred-based populations, that is, populations that have homozygous parental lines in the genealogy (F2s, backcrosses, and RILs). As a consequence, linkage phases do not need to be estimated. Since version 2.3.0, phases are estimated for F2 populations to properly generate progeny haplotypes not only the recombination fraction.
In this vignette, we explain how to proceed with the analysis in an F2 population. The same procedure can be used for backcrosses and RILs as well, and therefore users should not have any difficulty in analyzing their data. However, there are a number of differences from genetic mapping in outcrossing species; please read the proper vignette.
If you are not familiar with R
, we recommend first the reading of vignette Introduction to R. You do not need to be an expert in R to build your linkage map, but some concepts are necessary and will help you through the process.
There is a GitHub OneMap
version which is constantly improved, we strongly recommend all users to try this version. In augusto-garcia/onemap
GitHub page you can find instructions to install the package from GitHub and also more fancy tutorials.
Creating the data file
For F2s, backcrosses, and RILs, two input formats are accepted. The user can choose between the standard OneMap
file format or the same raw file used by MAPMAKER/EXP
(Lander et al., 1987). Therefore, one should have no difficulty in using data sets already available for MAPMAKER/EXP
when deciding to try OneMap
.
Both types of raw files can contain phenotypic information, but this will not be used during map construction, that requires only genotypic information (made available by molecular markers).
Creating MAPMAKER/EXP
data file
The MAPMAKER/EXP
raw file, combined with the map file produced by OneMap
, can be readily used for QTL mapping using R/qtl
(Broman et al., 2008) or QTL Cartographer
(Wang et al., 2010), among others.
Here, we briefly present how to set up this data file. For more detailed information see the MAPMAKER/EXP
manual (Lincon et al., 1993), available here.
The first line of your data file should be:
data type xxxx
where xxxx
is one of the following data types:
xxxx |
Population type |
---|---|
f2 backcross |
Backcross |
f2 intercross |
F2 |
ri self |
RIL, produced by selfing |
ri sib |
RIL, produced by sib mating |
The second line should contain the number of individuals in the progeny, the number of markers, and the number of quantitative traits. So, for example, a valid line would be
10 5 2
for a data set with 10 individuals (yes, very small, but this is just an example), 5 markers, and 2 traits evaluated.
Then, the genotype information is included for each marker. The character *
indicates the beginning of information of a marker, followed by the marker name. For instance, here is an example of such a file for an F2 population with 10 individuals, 5 markers, and 2 quantitative traits:
data type f2 intercross
10 5 2
*M1 A B H H A - B A A B
*M2 C - C C C - - C C A
*M3 D B D D - - B D D B
*M4 C C C - A C C A A C
*M5 C C C C C C C C C C
*weight 10.2 - 9.4 11.3 11.9 8.9 - 11.2 7.8 8.1
*length 1.7 2.1 - 1.8 2.0 1.0 - 1.7 1.0 1.1
The codification for genotypes is the following:
Code | Meaning |
---|---|
A |
homozygous for allele A (from parent 1 - AA) |
B |
homozygous for allele B (from parent 2 - BB) |
H |
heterozygous carrying both alleles (AB) |
C |
Not homozygous for allele A (Not AA) |
D |
Not homozygous for allele B (Not BB) |
- |
Missing data for the individual at this marker |
The symbols
option (not included in this example), used in MAPMAKER/EXP
files, is also accepted (please, see its manual for details).
The quantitative trait data should come after the genotypic data and has a similar format, except the trait values for each individual must be separated by at least one space, a tab, or a line break. A dash (-
) indicates missing data.
This file must be saved in plain text format using a simple text editor such as notepad on Microsoft Windows. Historically, MAPMAKER/EXP
uses the .raw
extension for this file; however, you can use any other extensions, such as .txt
.
If you want to see more examples about this file type, open mapmaker_example_bc.raw
and mapmaker_example_f2.raw
, both available with OneMap
and saved in the directory extdata
on your computer, in the folder where you installed OneMap
(use system.file(package="onemap")
to see where it is located on your computer).
Now, let us load OneMap
:
library(onemap)
To save your project anytime, type:
save.image("C:/.../yourfile.RData")
if you are using Windows, otherwise, adapt the code. Notice that you need to specify where to save and the name of the file. You can also use the toolbar, of course.
Creating OneMap data file
The OneMap
data file has few differences compared to MAPMAKER/EXP format. As MAPMAKER/EXP format, the input OneMap
file is a text file, where the first line indicates the cross-type and the second line provides information about the number of individuals, the number of markers, and the number of quantitative traits. Here, the format also supports keeping physical markers location information. The followed numbers indicate the presence/absence (1/0) of chromosome and position information and the presence/absence(1/0) of phenotypic data.
The third line contains sample IDs. Then, the genotype information is included separately for each marker. The character *
indicates the beginning of information input for a new marker, followed by the marker name. Next, there is a code indicating the marker type according to:
Code | Type |
---|---|
A.H.B |
Codominant marker |
C.A |
Dominant marker for allele B |
D.B |
Dominant marker for allele A |
A.H |
Marker for backcross |
A.B |
Marker for ril self/sib cross |
Finally, after each marker type, comes the genotype data for the segregating population. Missing data are indicated with the character -
(minus sign) and an empty space separates the information for each individual. Positions and phenotype information, if present, follows genotypic data with a similar structure. Details are found with the help of function read_onemap
.
Here is an example of such file for 10 individuals, 5 markers (the two zeros in the second line indicate that there is no chromosome information, physical position information), and two phenotypic data, respectively). It is very similar to a MAPMAKER/EXP file, but has additional information about the cross_type.
data type f2 intercross
10 5 0 0 2
I1 I2 I3 I4 I5 I6 I7 I8 I9 I10
*M1 A.H.B ab a - ab b a ab - ab b
*M2 A.H.B a - ab ab - b a - a ab
*M3 C.A c a a c c - a c a c
*M4 A.H.B ab b - ab a b ab b - a
*M5 D.B b b d - b d b b b d
*fen1 10.3 11.2 11.1 - 9.8 8.9 11.0 10.7 - 10.1
*fen2 42 49 - 45 51 42 28 32 38 40
The input file must be saved in text format, with extensions like .raw
. It is a good idea to open the text files called onemap_example_f2.raw
, onemap_example_bc
, onemap_example_riself
(available in extdata
with OneMap
and saved in the directory you installed it) to see how this file should be. You can see where OneMap
is installed using the command system.file(package="onemap")
.
Importing data
From MAPMAKER/EXP
file
Once you created your data file with raw data, you can use OneMap
function read_mapmaker
to import it to OneMap
:
<- read_mapmaker(dir="C:/workingdirectory",
mapmaker_example_f2 file="your_data_file.raw")
The first argument is the directory where the input file is located, modify it accordingly. The second one is the data file name.
In this example, an object named mapmaker_example_f2.raw
was created. Notice that if you leave the argument dir
blank, the file will be read from your current working directory. To set a working directory, see Introduction to R (Importing and Exporting Data).
<- read_mapmaker(file= system.file("extdata/mapmaker_example_f2.raw",
mapmaker_example_f2 package = "onemap"))
For this example, we will use a simulated data set from an F2 population which is distributed along with OneMap
. Because this particular data set is distributed along with the package, you can load it by typing:
data("mapmaker_example_f2")
To see what this data set is about, type:
mapmaker_example_f2
## This is an object of class 'onemap'
## Type of cross: f2
## No. individuals: 200
## No. markers: 66
## CHROM information: no
## POS information: no
## Percent genotyped: 85
##
## Segregation types:
## AA : AB : BB --> 36
## Not AA : AA --> 15
## Not BB : BB --> 15
##
## No. traits: 1
## Missing trait values:
## Trait_1: 0
As you can see, the data consists of a sample of 200 individuals genotyped for 66 markers (36 co-dominant (AA
, AB
or BB
), 15 dominant in one parent (Not AA
or AA
) and 15 dominant in the other parent (Not BB
or BB
) with 15% of missing data. You can also see that there is phenotypic information for one trait in the data set, that can be used for QTL mapping.
From OneMap
raw file
The same procedure is made for the OneMap
raw file, but, instead of using the function read_mapmaker
we use read_onemap
to read the OneMap
format.
<- read_onemap(dir="C:/workingdirectory",
onemap_example_f2 inputfile = "your_data_file.raw")
In this example, an object named onemap_example_f2.raw
was created. The data set containing the same markers and individuals of the mapmaker_example_f2.raw
file. Would be a good idea to open these two files in a text editor and compare them to better understand the differences between the two kinds of input files. We can read the onemap_example_f2.raw
using:
<- read_onemap(inputfile= system.file("extdata/onemap_example_f2.raw",
onemap_example_f2 package = "onemap"))
Or, because this particular data are available together with the OneMap
package:
data("onemap_example_f2")
To see what this data set is about, type:
onemap_example_f2
## This is an object of class 'onemap'
## Type of cross: f2
## No. individuals: 200
## No. markers: 66
## CHROM information: no
## POS information: no
## Percent genotyped: 85
##
## Segregation types:
## AA : AB : BB --> 36
## Not AA : AA --> 15
## Not BB : BB --> 15
##
## No. traits: 1
## Missing trait values:
## Trait_1: 0
As you can see, the mean difference in the output object is that the read_onemap
function keeps chromosome and position information. Because the objects mapmaker_example_f2
and onemap_example_f2
are practically the same, from now we will use only onemap_example_f2
.
Importing data from the VCF
file
If you are working with biallelic markers, as SNPs and indels (only codominant markers A.H.B), in VCF (Variant Call Format) files, you can import information from VCF
to OneMap
using onemap_read_vcfR
function.
With the onemap_read_vcfR
you can convert VCF file directly to onemap
. The onemap_read_vcfR
function keeps chromosome and position information for each marker at the end of the raw file.
We will use the same example file vcf_example_f2.vcf
to show how it works.
Here we use the the vcfR
package internally to help this conversion. The vcfR
authors mentioned in their tutorials that RAM memory use is an important consideration when using the package. Depending of your dataset, the object created can be huge and occupy a lot of memory.
You can use onemap_read_vcfR
function to convert the VCF file to onemap
object. The parameters used are the vcf
with the VCF file path, the identification of each parent (here, you must define only one sample for each parent) and the cross type.
<- onemap_read_vcfR(vcf = system.file("extdata/vcf_example_f2.vcf.gz", package = "onemap"),
vcf_example_f2 parent1 = "P1",
parent2 = "P2",
cross = "f2 intercross")
Depending on your dataset, this function can take some time to run.
NOTE: From version 2.0.6 to 2.1.1005, OneMap
had the vcf2raw
function to convert vcf
to .raw
. Now, this function is defunct, but it can be replaced by a combination of onemap_read_vcfR
and write_onemap_raw
functions. See Exporting .raw file from onemap object session to further information about write_onemap_raw
.
Visualization of raw data
Before building your linkage map, you should take a look at your data set. First, notice that by reading the raw data into OneMap
, an object of classes onemap
and f2
was produced:
class(onemap_example_f2)
## [1] "onemap" "f2"
class(vcf_example_f2)
## f2 intercross
## "onemap" "f2"
In fact, functions read_mapmaker
and read_onemap
will produce objects of classes backcross
, riself
, risib
or f2
, according to the information in the data file for inbred-based populations. Therefore, you can use OneMap
’s version of function plot
to produce a graphic with information about the raw data. It will automatically recognize the class of the object and produce the graphic. To see it in action, try:
plot(onemap_example_f2)
plot(vcf_example_f2)
The graphic is self-explanatory. If you want to save it, see the help for function plot.onemap
:
?plot.onemap
This graphic shows that missing data is somehow randomly distributed; also, the proportion of dominant markers is relatively high for this data set. In OneMap
’s notation, codominant markers are classified as of B type; dominant ones, by C type (for details about this notation, see the vignette for outcrossing species). You can see the number of loci within each type using function plot_by_segreg_type
:
plot_by_segreg_type(onemap_example_f2)
plot_by_segreg_type(vcf_example_f2)
So, as shown before, the object onemap_example_f2
has 36 codominant markers and 30 dominant ones and the vcf_example_f2
has only codominant markers.
Graphical view of genotypes and allele depths (new!)
Function create_depth_profile
generates dispersion graphics with x and y axis representing, respectively, the reference and alternative allele depths. The function is only available for biallelic markers in VCF files with allele counts information. Each dot represents a genotype for mks
markers and inds
individuals. If both arguments receive NULL
, all markers and individuals are considered. Dots are colored according to the genotypes present in the OneMap
object (GTfrom = onemap
) or in the VCF file (GTfrom = vcf
). An rds file is generated with the data in the graphic (rds.file
). The alpha
argument controls the transparency of the color of each dot. Control this parameter is a good idea when having a big amount of markers and individuals. The x_lim
and y_lim
control the axis scale limits, by default, it uses the maximum value of the counts.
Here is an example of the simulated dataset.
<- onemap_read_vcfR(vcf = system.file("extdata/vcf_example_f2.vcf.gz", package="onemap"),
simu_f2_obj cross = "f2 intercross",
parent1 = "P1", parent2 = "P2")
create_depths_profile(onemap.obj = simu_f2_obj,
vcfR.object = system.file("extdata/vcf_example_f2.vcf.gz", package="onemap"),
parent1 = "P1",
parent2 = "P2",
vcf.par = "AD",
recovering = FALSE,
mks = NULL,
inds = NULL,
GTfrom = "vcf",
alpha = 0.1,
rds.file = "depths_f2.rds")
Selecting genotypes from vcf
(GTfrom = “vcf”) the colors are separated by VCF genotypes: 0/0
homozygote for the reference allele, 0/1
heterozygote, and 1/1
homozygote for the alternative allele. Depending on your VCF, you can also have phased genotypes, which are presented by pipe (|) instead of the bar (/).
Combining OneMap
objects
If you have more than one dataset of markers, all from the same cross-type, you can use the function combine_onemap
to merge them into only one onemap
object.
In our example, we have two onemap
objects:
- first:
onemap_example_f2
(equivalent tomapmaker_example_f2
) with 66 markers and 200 individuals - second:
vcf_example_f2
with 25 biallelic markers and 192 individuals.
The combine_function
recognizes the correspondent individuals by the ID, thus, it is important to define exactly the same IDs to respective individuals in both raw
files. Compared with the first file, the second file does not have markers information for 8 individuals. The combine_onemap
will complete that information with NA.
In our examples, we have only genotypic information, but the function can also merge the phenotypic information if it exists.
<- combine_onemap(onemap_example_f2, vcf_example_f2)
comb_example comb_example
## This is an object of class 'onemap'
## Type of cross: f2
## No. individuals: 200
## No. markers: 91
## CHROM information: yes
## POS information: yes
## Percent genotyped: 84
##
## Segregation types:
## AA : AB : BB --> 61
## Not AA : AA --> 15
## Not BB : BB --> 15
##
## No. traits: 1
## Missing trait values:
## Trait_1: 0
The function arguments are the names of the OneMap
objects you want to combine.
Plotting markers genotypes from the outputted OneMap
object, we can see that there are more missing data -
(black vertical lines) for some individuals because they were missing in the second file.
plot(comb_example)
Find redundant markers
It is possible that there are redundant markers in your dataset, especially when dealing with too many markers. Redundant markers have the same genotypic information that others markers, usually because didn’t happen recombination events between each other. They will not increase information on the map but will increase computational effort during the map building. Therefore, it is a good practice to remove them to build the map and, once the map is already built, they can be added again.
First, we use the function find_bins
to group the markers into bins according to their genotypic information. In other words, markers with the same genotypic information will be in the same bin.
<- find_bins(comb_example, exact = FALSE)
bins bins
## This is an object of class 'onemap_bin'
## No. individuals: 200
## No. markers in original dataset: 91
## No. of bins found: 90
## Average of markers per bin: 1.011111
## Type of search performed: non exact
The first argument is the OneMap
object and the exact
argument specifies if only markers with exact same information will be at the same bin. Using FALSE
at this second argument, missing data will not be considered and the marker with the lowest amount of missing data will be the representative marker on the bin.
Our example dataset has only two redundant markers. We can create a new OneMap
object without them, using the create_data_bins
function. This function keeps only the most representative marker of each bin from the bins
object.
<- create_data_bins(comb_example, bins)
bins_example bins_example
## This is an object of class 'onemap'
## Type of cross: f2
## No. individuals: 200
## No. markers: 90
## CHROM information: yes
## POS information: yes
## Percent genotyped: 84
##
## Segregation types:
## AA : AB : BB --> 60
## Not AA : AA --> 15
## Not BB : BB --> 15
##
## No. traits: 1
## Missing trait values:
## Trait_1: 0
The arguments for create_data_bins
function are the OneMap
object and the object created by find_bins
function.
Exporting .raw file from OneMap
object
The functions onemap_read_vcfR
generates new OneMap
objects without use a input .raw
file. Also, the function combine_onemap
manipulates the information of the original .raw
file and creates a new data set. In both cases, you do not have an input file .raw
that contains the same information as your current onemap object If you want to create a new input file with the data set you are working on after using these functions, you can use the function write_onemap_raw
.
write_onemap_raw(bins_example, file.name = "new_dataset.raw", cross="f2 intercross")
The file new_dataset.raw
will be generated in your working directory. In our example, it contains markers from onemap_example_f2
and vcf_example_f2
data sets.
Segregation tests
Now, it should be interesting to see if markers are segregating following what is expected by Mendel’s law. You first need to use function test_segregation
using as argument an object of class onemap
.
<- test_segregation(bins_example) f2_test
This will produce an object of class onemap_segreg_test
:
class(f2_test)
## [1] "onemap_segreg_test"
You cannot see the results if you simply type the object name; use OneMap
’s version of the print
function for objects of class onemap_segreg_test
:
f2_test
(Nothing is shown!)
print(f2_test)
## Marker H0 Chi-square p-value % genot.
## 1 M1 1:2:1 0.2068966 0.90172266 87.0
## 2 M2 3:1 0.2926829 0.58850636 82.0
## 3 M3 3:1 0.1240310 0.72470300 86.0
## 4 M4 3:1 0.2926829 0.58850636 82.0
## 5 M5 3:1 0.1597633 0.68937452 84.5
## 6 M6 3:1 0.6206897 0.43079112 87.0
## 7 M7 1:2:1 3.1851852 0.20339760 81.0
## 8 M8 3:1 0.1656442 0.68401234 81.5
## 9 M9 3:1 0.1269841 0.72157973 84.0
## 10 M10 1:2:1 1.7218935 0.42276165 84.5
## 11 M11 3:1 1.3909465 0.23824532 81.0
## 12 M12 1:2:1 1.6781609 0.43210768 87.0
## 13 M13 3:1 0.1542857 0.69447296 87.5
## 14 M14 1:2:1 5.3372093 0.06934892 86.0
## 15 M15 3:1 0.4032922 0.52539392 81.0
## [ reached 'max' / getOption("max.print") -- omitted 75 rows ]
This shows the results of the Chi-square test for the expected Mendelian segregation pattern of each marker locus. This depends of course on the marker type, because codominant markers can show heterozygous genotypes. The appropriate null hypothesis is selected by the function. The proportion of individuals genotyped is also shown.
To declare statistical significance, remember that you should consider that multiple tests are being performed. To guide you in the analysis, function Bonferroni_alpha
shows the alpha value that should be considered for this number of loci if applying Bonferroni’s correction with global alpha of 0.05:
Bonferroni_alpha(f2_test)
## [1] 0.0005555556
You can subset object f2_test
to see which markers are distorted under Bonferroni’s criterion, but it is easier to see the proportion of markers that are distorted by drawing a graphic using OneMap
’s version of the function plot
for objects of class onemap_segreg_test
:
plot(f2_test)
The graphic is self-explanatory: p-values were transformed by using -log10(p-values)
for better visualization. A vertical line shows the threshold for tests if Bonferroni’s correction is applied. Significant and non-significant tests are identified. In this particular example, no test was statistically significant, so none will be discarded.
Please, remember that Bonferroni’s correction is conservative, and also that discarding marker data might not be a good approach to your analysis. This graphic is just to suggest a criterion, so use it with caution.
You can see a list of markers with non-distorted segregation using function select_segreg
:
select_segreg(f2_test)
## [1] "M1" "M2" "M3" "M4" "M5" "M6" "M7" "M8" "M9"
## [10] "M10" "M11" "M12" "M13" "M14" "M15" "M16" "M17" "M18"
## [19] "M19" "M20" "M21" "M22" "M23" "M24" "M25" "M26" "M27"
## [28] "M28" "M29" "M30" "M31" "M32" "M33" "M34" "M35" "M36"
## [37] "M37" "M38" "M39" "M40" "M41" "M42" "M43" "M44" "M45"
## [46] "M46" "M47" "M48" "M49" "M50" "M51" "M52" "M53" "M54"
## [55] "M55" "M56" "M57" "M58" "M59" "M60" "M61" "M62" "M63"
## [64] "M64" "M65" "M66" "SNP1" "SNP2" "SNP3" "SNP5" "SNP6" "SNP7"
## [73] "SNP8" "SNP9" "SNP10"
## [ reached getOption("max.print") -- omitted 15 entries ]
To get a list of distorted ones (none in this example):
select_segreg(f2_test, distorted = TRUE)
## character(0)
It is not recommended, but you can define a different threshold value by changing the threshold
argument of the function select_segreg
.
For the next steps will be useful to know the numbers of each marker with segregation distortion, so then you can keep those out of your map building analysis. These numbers refer to the lines where markers are located on the data file.
To access the corresponding number for of these markers you can change the numbers
argument:
<- select_segreg(f2_test, distorted = FALSE, numbers = TRUE) #to show the markers numbers without segregation distortion
no_dist no_dist
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
## [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
## [51] 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
## [ reached getOption("max.print") -- omitted 15 entries ]
<- select_segreg(f2_test, distorted = TRUE, numbers = TRUE) #to show the markers numbers with segregation distortion
dist dist
## integer(0)
Estimating two-point recombination fractions
After visualizing raw data and checking for segregation distortion, let us now estimate recombination fractions between all pairs of markers (two-point tests). This is necessary to allow us to test which markers are linked. At this point, you should pay no attention if markers show segregation distortion or not, that is, simply use all of them.
<- rf_2pts(input.obj = bins_example) twopts_f2
There are two optional arguments in function rf_2pts
: LOD
and max.rf
which indicate the minimum LOD Score and the maximum recombination fraction to declare linkage (they default to 3.0 and 0.5, respectively).
The default for the recombination fraction is easy to understand, because if max.rf < 0.5
we could state that markers are linked. The LOD Score is the statistic used to evaluate the significance of the test for max.rf = 0.50
. This needs to take into consideration the number of tests performed, which of course depends on the number of markers. Function suggest_lod
can help users to find an initial value to use for their linkage test. For this example:
<- suggest_lod(bins_example)) (LOD_sug
## [1] 4.145858
Thus, one should consider using LOD = 4.145858
for the tests. Please, notice that this is just a guide, not a value to take without any further consideration. For now, we will keep the default values, but later will show that results do not change in our example by using LOD = 3
or LOD = 4.145858
.
If you want to see the results for a single pair of markers, say M12
and M42
, use:
print(twopts_f2, c("M12", "M42"))
## Results of the 2-point analysis for markers: M12 and M42
## Criteria: LOD = 3 , Maximum recombination fraction = 0.5
##
## rf LOD
## CC 0.6842077 2.29369
## CR 0.3157923 2.29369
## RC 0.6842077 2.29369
## RR 0.3157923 2.29369
Since version 2.3.0, we estimate phases for F2 populations too, so here you can see the recombination fractions and LOD values for each possible phase. For RILs and backcross, you will obtain only one value.
This was possible because OneMap
has a version of the print
function that can be applied to objects of class rf_2pts
:
class(twopts_f2)
## [1] "rf_2pts" "f2"
However, objects of this type are too complex to print if you do not specify a pair of markers:
print(twopts_f2)
## This is an object of class 'rf_2pts'
##
## Criteria: LOD = 3 , Maximum recombination fraction = 0.5
##
## This object is too complex to print
## Type 'print(object, c(mrk1=marker, mrk2=marker))' to see
## the analysis for two markers
## mrk1 and mrk2 can be the names or numbers of both markers
Strategies for this tutorial example
In this example we follow two different strategies:
Using only recombinations information.
Using the recombinations and also the reference genome information, once our example has
CHROM
andPOS
information for some of the markers.
First, we will apply the strategy using only recombinations information. In the second part of this tutorial, we show a way to use also reference genome information.
Using only recombinations information
Assigning markers to linkage groups
To assign markers to linkage groups, first, use the function make_seq
to create a (un-ordered) sequence with all markers:
<- make_seq(twopts_f2, "all") mark_all_f2
Function make_seq
is used to create sequences from objects of several different classes. Here, the first argument is of class rf_2pts
and the second argument specifies which markers one wants to use ("all"
indicates that all markers will be analyzed). The object mark_all_f2
is of class sequence
:
class(mark_all_f2)
## [1] "sequence"
If you want to form groups with a subset of markers, say M1
, M3
and M7
, use:
<- make_seq(twopts_f2, c(1, 3, 7)) mrk_subset
In this case, it was easy because marker names and order in the objects (indicated in vector c(1, 3, 7)
) are closely related, that is, you can easily know the position of markers in the object once you know their names. However, this is not true for real data sets, where markers do not have simple names such as M1
or M2
.
A good example is to use the vector of markers without segregation distortion that we selected when applying the Chi-square tests.
<- make_seq(twopts_f2, no_dist) mark_no_dist_f2
In our example, there are no markers with segregation distortion, then the object mark_no_dist_f2
is equivalent to mark_all_f2
.
Forming the groups
OneMap
has two functions to perform the markers grouping. The first presented here is the group
function:
<- group(mark_all_f2) LGs_f2
## Selecting markers:
## group 1
## ............................................................
## .............................
LGs_f2
## This is an object of class 'group'
## It was generated from the object "mark_all_f2"
##
## Criteria used to assign markers to groups:
## LOD = 3 , Maximum recombination fraction = 0.5
##
## No. markers: 90
## No. groups: 1
## No. linked markers: 90
## No. unlinked markers: 0
##
## Printing groups:
## Group 1 : 90 markers
## M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 M16 M17 M18 M19 M20 M21 M22 M23 M24 M25 M26 M27 M28 M29 M30 M31 M32 M33 M34 M35 M36 M37 M38 M39 M40 M41 M42 M43 M44 M45 M46 M47 M48 M49 M50 M51 M52 M53 M54 M55 M56 M57 M58 M59 M60 M61 M62 M63 M64 M65 M66 SNP1 SNP2 SNP3 SNP5 SNP6 SNP7 SNP8 SNP9 SNP10 SNP11 SNP12 SNP13 SNP14 SNP15 SNP16 SNP17 SNP18 SNP19 SNP20 SNP21 SNP22 SNP23 SNP24 SNP26
This will show the linkage groups which are formed with criteria defined by max.rf
and LOD
. These criteria are applied as thresholds when assigning markers to linkage groups. If not modified, the same values used for the object twopts
(from two-point analysis) will be maintained (so, LOD = 3.0
and max.rf = 0.5
in this example).
Users can easily change the default values. For example, using LOD suggested by suggest_lod
(rounded up):
<- group(mark_all_f2, LOD = LOD_sug, max.rf = 0.5)) (LGs_f2
## Selecting markers:
## group 1
## ............................................................
## .............................
## This is an object of class 'group'
## It was generated from the object "mark_all_f2"
##
## Criteria used to assign markers to groups:
## LOD = 4.145858 , Maximum recombination fraction = 0.5
##
## No. markers: 90
## No. groups: 1
## No. linked markers: 90
## No. unlinked markers: 0
##
## Printing groups:
## Group 1 : 90 markers
## M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 M16 M17 M18 M19 M20 M21 M22 M23 M24 M25 M26 M27 M28 M29 M30 M31 M32 M33 M34 M35 M36 M37 M38 M39 M40 M41 M42 M43 M44 M45 M46 M47 M48 M49 M50 M51 M52 M53 M54 M55 M56 M57 M58 M59 M60 M61 M62 M63 M64 M65 M66 SNP1 SNP2 SNP3 SNP5 SNP6 SNP7 SNP8 SNP9 SNP10 SNP11 SNP12 SNP13 SNP14 SNP15 SNP16 SNP17 SNP18 SNP19 SNP20 SNP21 SNP22 SNP23 SNP24 SNP26
In our case, nothing different happens. (The parentheses above are just to avoid typing LGs_f2
in a new row to have the object printed).
We can see that the markers were assigned to only one linkage group. This division isn’t so trustful, mostly if you are also working with dominant markers.
Another option is the group_upgma
function. It is an adapted version of MAPpoly grouping function.
<- group_upgma(mark_all_f2, expected.groups = 5, inter = F)
LGs_upgma plot(LGs_upgma)
You can define the expected number of groups in the expected.groups
argument and check how the markers are split in the plotted dendrogram. Using argument inter=TRUE
you can change interactively the number of groups defined by the red squares in the graphic.
If you have reference genome information for some of your markers, you can separate the groups using it and the group_seq
function (further information in Using the recombinations and the reference genome information
) to add the markers without reference genome information. We can also confirm the separation of linkage groups in the ordering procedure.
Notice the class of object LGs_f2
and LGs_upgma
:
class(LGs_f2)
## [1] "group"
class(LGs_upgma)
## [1] "group.upgma"
Ordering markers within linkage groups
After assigning markers to linkage groups, the next step is to order the markers within each group.
First, let us choose the mapping function used to display the genetic map. We can choose between Kosambi or Haldane mapping functions. To use Haldane, type
set_map_fun(type = "haldane")
To use Kosambi’s function:
set_map_fun(type = "kosambi")
If none is set, kosambi function is applied.
Linkage group 1
First, you must extract
it from the object of class group
. Let us extract the group 1 using function make_seq
:
<- make_seq(LGs_f2, 1) LG1_f2
The first argument is an object of class group
and the second is a number indicating which linkage group will be extracted. In this case, the object LGs_f2
, generated by function group
, is of class group
. In fact, this function can handle different classes of objects.
If you type:
LG1_f2
##
## Number of markers: 90
## Too many markers - not printing their names
##
## Parameters not estimated.
you will see which markers are comprised in the sequence. But notice that no parameters have been estimated so far (the function says Parameters not estimated). This refers to the fact that so far we only attributed markers to linkage groups, but we did not perform any analysis for them as a group - only as pairs. (Does it seem complicated? Do not worry, you will understand the details in a moment).
Notice the class of object LG1_f2
:
class(LG1_f2)
## [1] "sequence"
To order markers in this group, you can use a two-point based algorithm such as Seriation (Buetow and Chakravarti, 1987), Rapid Chain Delineation (Doerge, 1996), Recombination Counting and Ordering (Van Os et al., 2005) and Unidirectional Growth (Tan and Fu, 2006):
<- rcd(LG1_f2, hmm = FALSE)
LG1_rcd_f2 <- record(LG1_f2, hmm = FALSE)
LG1_rec_f2 <- ug(LG1_f2, hmm = FALSE) LG1_ug_f2
Argument hmm
defines if the function should run the HMM chain multipoint approach to estimate the genetic distances given the marker order provided by the two-points ordering algorithm. We set here the argument hmm=FALSE
because we just want to obtain the marker order. We are not yet estimating the genetic distances. We suggest to use hmm=TRUE
only when you already decided which order is the best because the HMM chain is the most computationally intensive step in the map building (mainly if F2 intercross population). You can use rf_graph_table
to check the ordering quality (see details below) and make editions in the marker order using drop_marker
. After, you can use map
or map_avoid_unlinked
functions to estimate the genetic distances (check session Map estimation for an arbitrary order).
The algorithms provided different results (results not printed in this vignette). For an evaluation and comparison of these methods, see Mollinari et al. (2009).
In this particular case, seriation will return an expected error:
<- seriation(LG1_f2, hmm = F) # Will return an error (can not be used in this case) LG1_ser_f2
Another method that has been demonstrated to be very efficient in ordering markers uses the multidimensional scaling (MDS) approach. OneMap
has the mds_onemap
function that makes an interface with the MDSMap package to apply this approach to order markers. This is particularly useful if you are dealing with many markers (up to 20). The method also provides diagnostics graphics and parameters to find outliers to help users to filter the dataset. You can find more information in MDSMap
vignette. Our mds_onemap
does not present all possibilities of analysis that the MDSMap package presents. See help page ?mds_onemap
to check which ones we implemented.
<- mds_onemap(input.seq = LG1_f2, hmm = F) LG1_mds_f2
## Using lodscore as value column: use value.var to override.
## Using lodscore as value column: use value.var to override.
## Stress: 0.179203004032195
## Mean Nearest Neighbour Fit: 47.5009683087036
If you only specify the input sequence, mds_onemap will use the default parameters. It will also generate the MDSMap input file in out.file
file. You can use out.file
in the MDSMap package to try other parameters too. The default method used is the principal curves, know more about using ?mds_onemap
and reading the MDSMap vignette.
Besides these algorithms use a two-point approach to order the markers, if you set hmm=TRUE
a multipoint approach is applied to estimate the genetic distances after the order is estimated. Thus, it can happen that some markers are not considered linked when evaluated by multipoint information, and the function will return an error like this:
ERROR: The linkage between markers 1 and 2 did not reach the OneMap default criteria. They are probably segregating independently
You can automatically remove these markers setting argument rm_unlinked = TRUE
. The marker will be removed, and the ordering algorithms will be restarted. Warning messages will inform which markers were removed. If you don’t get warning messages, it means that any marker needed to be removed. This is our case in this example, but if you obtain an error or warning running your dataset, you already know what happened.
NOTE: (new!) If you are working with f2 intercross mapping population and have many markers (more than 60), we suggest to first use hmm=FALSE to check the ordering and after speed up mds
using BatchMap parallelization approach. See section Speed up analysis with parallelization
for more information.
By now, we ordered our group in several ways, but, which one result in the best order? We can check it by plotting the color scale recombination fraction matrix and see if the generated maps obey the colors patterns expected.
Plotting the recombination fraction matrix
It is possible to plot the recombination fraction matrix and LOD Scores based on a color scale using the function rf_graph_table
. This matrix can be useful to make some diagnostics about the map.
Ordered markers are presented on both axes. Hotter the colors lower the recombination fraction between markers related to each cell. Good map orders have hot colors in the diagonal and it gradually turns to blue at the superior left and inferior right corners. This pattern means that markers that have low recombination fractions are really positioned closely on the map.
Let’s see the maps we have until now:
rf_graph_table(LG1_rcd_f2)
rf_graph_table(LG1_rec_f2)
rf_graph_table(LG1_ug_f2)
rf_graph_table(LG1_mds_f2)
With default arguments, the graphic cells represent the recombination fractions. If you change the argument to graph.LOD = TRUE
, LOD score values are plotted. The color scale varies from red (small distances and big LODs) to dark blue. You can also change the number of colors from the rainbow
palette with argument n.colors
, add/remove graphic main and axis title (main
and lab.xy
), and shows marker numbers, instead of names in the axis (mrk.axis
).
We can see that any of the algorithms gave an optimal ordering, there are many red cells out of the diagonal, the color pattern is broke in all graphics, but we need to do an effort to find which one of the algorithms gave the best result. Then, we continue the analysis by doing hand manipulations.
Here, ug
and record
approaches are the ones that gave results more close to the expected pattern. We can also see that probably there is more than one group, because of the big gaps. Let’s see the map generated by the ug
algorithm with more details using the interactive mode of the rf_graph_table
function:
rf_graph_table(LG1_ug_f2, inter = TRUE, html.file = "test.html")
An interactive version of the graphic will pop up (not shown here) in your internet browser end generated an HTML file in your work directory. Hover the mouse cursor over the cell corresponding to two markers, you can see some useful information about them.
Markers from 89
to 11
seem to form a separated group (we will call this group LG1). Markers from 23
to 55
will be our LG2. Markers from 39
to 50
show strong evidence that constitutes another separated group, including markers (LG3).
Let’s separate them and order again using the same method:
# New LG1 will be this separated group
<- which(LG1_ug_f2$seq.num == 11) # Find position of marker 11
pos11 <- LG1_ug_f2$seq.num[1:pos11] # From marker 89 to 11
mksLG1
# LG2
<- which(LG1_ug_f2$seq.num == 23)
pos23 <- which(LG1_ug_f2$seq.num == 55)
pos55 <- LG1_ug_f2$seq.num[pos23:pos55]
mksLG2
# LG3
<- which(LG1_ug_f2$seq.num == 39)
pos39 <- LG1_ug_f2$seq.num[pos39:length(LG1_ug_f2$seq.num)] # use the position to find the 39 marker and take all the markers from there to the end of sequence
mksLG3
# Ordering again LG1
<- make_seq(twopts_f2, mksLG1)
LG1 <- ug(LG1, hmm = F)
LG1_ug2_f2
rf_graph_table(LG1_ug2_f2) # Now it is better
# Ordering LG2
<- make_seq(twopts_f2, mksLG2)
LG2 <- ug(LG2, hmm = F)
LG2_ug_f2
rf_graph_table(LG2_ug_f2)
# Ordering LG3
<- make_seq(twopts_f2, mksLG3)
LG3 <- ug(LG3, hmm = F)
LG3_ug_f2
rf_graph_table(LG3_ug_f2)
Besides the groups now is better separated, the order is still not the best we can do. With fewer markers in each group, we can apply a multipoint strategy to better order those markers, starting with group 1.
Linkage group 1
When possible (i.e., when groups have a small number of markers, in general up to 10 or 11), one should select the best order by comparing the multipoint likelihood of all possible orders between markers (exhaustive search). This procedure is implemented in the function compare
. Although feasible for up to 10 or 11 markers, with 7 or more markers it will take a couple of hours until you see the results (depending of course on the computational resources available).
All our groups have more than 7 markers, so using the function compare
is infeasible. Thus we will apply a heuristic that shows reliable results. First, we will choose a moderate number of markers, say 6, to create a framework using the function compare
, and then we will position the remaining markers into this framework using the function try_seq
. The way we choose these initial markers in inbred-based populations is somewhat different from what we did for outcrossing populations, where there is a mixture of segregation patterns (see the vignette for details).
In our scenario, we recommend two methods:
Randomly choose a number of markers and calculate the multipoint likelihood of all possible orders (using the function
compare
). If the LOD Score of the second-best order is greater than a given threshold, say, 3, then take the best order to proceed with the next step. If not, repeat the procedure.Use some two-point based algorithm to construct a map; then, take equally spaced markers from this map. Then, create a framework of ordered markers using the function
compare
. Next, try to map the remaining markers, one at a time, beginning with co-dominant ones (most informative ones), then add the dominant ones.
You can do this procedure manually, in a similar way as done for outcrossing species (see the vignette for details). However, this procedure is automated in function order_seq
, which we will use here (it will take some time to run):
<- order_seq(input.seq = LG1_ug2_f2, n.init = 5,
LG1_f2_ord subset.search = "twopt",
twopt.alg = "rcd", THRES = 3)
The first argument is an object of class sequence
(LG1_ug2_f2). n.init = 5
means that five markers will be used in the compare
step. The argument subset.search = "twopt"
indicates that these five markers should be chosen by using a two-point method, which will be Rapid Chain Delineation, as indicated by the argument twopt.alg = "rcd"
. THRES = 3
indicates that the try_seq
step will only add markers to the sequence which can be mapped with LOD Score greater than 3.
Check the order obtained by this procedure:
# Results not shown in this vignette LG1_f2_ord
Markers 5
, 66
, and 2
could not be safely mapped to a single position (LOD Score > THRES
in absolute value). The output displays the safe
order and the most likely positions for markers not mapped, where ***
indicates the most likely position, and *
corresponds to other plausible positions. (If you are familiar with MAPMAKER/EXP, you will recognize the representation).
To get the safe
order, use:
<- make_seq(LG1_f2_ord, "safe") LG1_f2_safe
and to get the order with all markers (i.e., including the ones not mapped to a single position), use:
<- make_seq(LG1_f2_ord, "force")) (LG1_f2_all
which places markers 5
, 66
, and 2
into their most likely positions.
Although some old publications presented maps with only safe
orders, we see no reason not to use the option force
and recommend it for users. In the next, steps we can make modifications to the map based on more information.
The order_seq
function can perform two rounds of the try_seq
step, first using THRES
and then THRES - 1
as the threshold. This generally results in safe orders with more markers mapped but takes longer to run. To do this, type (it will take some time to run):
<- order_seq(input.seq = LG1_ug2_f2, n.init = 5,
LG1_f2_ord subset.search = "twopt",
twopt.alg = "rcd", THRES = 3,
touchdown = TRUE)
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The output is too big to be included here, so please try it to see what happens. In short, for this particular sequence, the touchdown
the step could additionally map markers 5
and 66
, but this depends on the dataset. Let us continue our analysis using the order with all markers as suggested by the function order_seq
:
<- make_seq(LG1_f2_ord, "force")) (LG1_f2_final
##
## Printing map:
##
## Markers Position Parent 1 Parent 2
##
## 89 SNP24 0.00 a | | b a | | b
## 33 M33 5.53 a | | b a | | b
## 90 SNP26 6.97 a | | b a | | b
## 37 M37 13.33 a | | b a | | b
## 8 M8 19.15 a | | o o | | o
## 51 M51 30.87 o | | a o | | o
## 5 M5 34.62 o | | a o | | o
## 25 M25 37.24 a | | b a | | b
## 61 M61 42.79 a | | b a | | b
## 66 M66 44.47 a | | b a | | b
## 54 M54 51.42 a | | b a | | b
## 45 M45 53.93 a | | o o | | o
## 32 M32 58.95 o | | o o | | a
## 43 M43 63.28 a | | b a | | b
## 11 M11 66.80 a | | o o | | o
## 2 M2 69.58 a | | o o | | o
## 10 M10 77.02 a | | b a | | b
## 41 M41 85.50 a | | b a | | b
##
## 18 markers log-likelihood: -1256.273
rf_graph_table(LG1_f2_final)
Finally, to check for alternative orders, use the ripple_seq
function:
ripple_seq(LG1_f2_final, ws = 5, LOD = 3)
The second argument, ws = 5
, means that subsets (windows) of five markers will be permuted sequentially (5! orders for each window), to search for other plausible orders. The LOD
argument means that only orders with LOD Score smaller than 3 will be printed.
The output shows sequences of five numbers, because ws = 5
. They can be followed by an OK
, if there are no alternative orders with LOD Scores smaller than LOD = 3
in absolute value, or by a list of alternative orders.
In this example, the first two windows showed alternative orders with LOD smaller than LOD = 3. However, the best order was that obtained with the order_seq function (LOD = 0.00). If there were an alternative order more likely than the original, one should check the difference between them and, if necessary, change the order with (for example) functions drop_marker
(see Section about using an arbitrary order) and try_seq
, or simply by typing the new order. For that, use LG2_f2_final$seq.num
to obtain the original order; then make the necessary changes (by copying and pasting) and use the function map to reestimate the genetic map for the new order.
Linkage group 2
Here we will use the multipoint approach to re-order the LG2. The approach is the automatic usage of the try
algorithm:
<- order_seq(input.seq = LG2_ug_f2, n.init = 5,
LG2_f2_ord subset.search = "twopt",
twopt.alg = "rcd", THRES = 3,
touchdown = TRUE, rm_unlinked = TRUE)
The second round of try_seq
added markers 23
, 29
, 67
, 44
, 68
, 36
, 40
, 26
, 63
, 31
, 17
, 12
, 75
, 74
, 58
, 35
, 13
, 6
, 70
, 72
, 30
, 69
, 1
, 46
, 42
, 3
, 27
and 55
(try it; results not shown).
Get the order with all markers:
<- make_seq(LG2_f2_ord, "force")) (LG2_f2_final
##
## Printing map:
##
## Markers Position Parent 1 Parent 2
##
## 23 M23 0.00 o | | o a | | o
## 60 M60 7.35 a | | o o | | o
## 29 M29 10.70 a | | b b | | a
## 67 SNP1 19.28 a | | b b | | a
## 44 M44 21.93 a | | b b | | a
## 68 SNP2 23.81 a | | b b | | a
## 36 M36 26.56 o | | o o | | a
## 40 M40 33.51 a | | b b | | a
## 26 M26 37.16 a | | b b | | a
## 63 M63 44.94 a | | b b | | a
## 34 M34 44.94 o | | o o | | a
## 31 M31 53.09 o | | o o | | a
## 17 M17 57.15 a | | b b | | a
## 73 SNP8 62.81 a | | b b | | a
## 12 M12 64.25 a | | b b | | a
## 75 SNP10 66.14 a | | b b | | a
## 74 SNP9 72.51 a | | b b | | a
## 58 M58 80.93 a | | o o | | o
## 35 M35 87.85 a | | o o | | o
## 13 M13 94.66 o | | o o | | a
## 6 M6 99.87 o | | o o | | a
## 71 SNP6 106.84 a | | b b | | a
## 70 SNP5 112.25 a | | b b | | a
## 7 M7 113.93 a | | b b | | a
## 72 SNP7 117.11 a | | b b | | a
## 30 M30 127.43 a | | b b | | a
## 69 SNP3 130.22 a | | b b | | a
## 1 M1 135.35 a | | b b | | a
## 46 M46 143.90 a | | b b | | a
## 53 M53 148.09 o | | o o | | a
## 42 M42 149.84 a | | o o | | o
## 4 M4 156.20 a | | o o | | o
## 3 M3 157.93 o | | o o | | a
## 9 M9 168.74 o | | o o | | a
## 27 M27 170.85 a | | b b | | a
## 55 M55 178.49 a | | b b | | a
##
## 36 markers log-likelihood: -2470.256
rf_graph_table(LG2_f2_final)
Our heatmap is already very good with an automatic approach, but I may want to see what happens if I remove a marker and try to reposition it. To remove a marker use function drop_marker
:
<- drop_marker(LG2_f2_final, 23) # removing marker 23 LG2_edit
After, you need to re-estimate the parameters using the same previous order. For that, use the map
function:
<- map(LG2_edit) LG2_edit_map
Warning: If you find an error message like:
Error in as_mapper(.f, ...) : argument ".f" is missing, with no default
It’s because the map
function has a very common name and you can have in your environment other functions with the same name. In the case of the presented error, R is using the map
function from purrr
package instead of OneMap
, to solve this, simply specify that you want the OneMap
function with ::
command from stringr
package:
library(stringr)
<- onemap::map(LG2_edit) LG2_edit_map
NOTE: (new!) If you are working with f2 intercross mapping population and have many markers (more than 60), we suggest to speed up map
using BatchMap parallelization approach. See section Speed up analysis with parallelization
for more information.
See what happened:
rf_graph_table(LG2_edit_map)
And try to reposition the marker:
<- try_seq(input.seq = LG2_edit_map, mrk = 23)) (LG2_temp
##
## LOD scores correspond to the best linkage phase combination
## for each position
##
## The symbol "*" outside the box indicates that more than one
## linkage phase is possible for the corresponding position
##
##
## Marker tested: 23
##
## Markers LOD
## =====================
## | |
## | 0.00 | 1 *
## | 60 |
## | -7.47 | 2 *
## | 29 |
## | -10.94 | 3 *
## | 67 |
## | -33.03 | 4 *
## | 44 |
## | -36.37 | 5 *
## | 68 |
## | -25.68 | 6 *
## | 36 |
## | -25.91 | 7 *
## | 40 |
## | -51.10 | 8 *
## | 26 |
## | -49.10 | 9 *
## | 63 |
## | -64.40 | 10 *
## | 34 |
## | -49.74 | 11 *
## | 31 |
## | -59.98 | 12 *
## | 17 |
## | -65.67 | 13 *
## | 73 |
## | -80.64 | 14 *
## | 12 |
## | -80.00 | 15 *
## | 75 |
## | -65.74 | 16 *
## | 74 |
## | -43.80 | 17 *
## | 58 |
## | -41.83 | 18 *
## | 35 |
## | -36.25 | 19 *
## | 13 |
## | -63.11 | 20 *
## | 6 |
## | -61.07 | 21 *
## | 71 |
## | -75.71 | 22 *
## | 70 |
## | -83.75 | 23 *
## | 7 |
## | -82.03 | 24 *
## | 72 |
## | -62.13 | 25 *
## | 30 |
## | -90.26 | 26 *
## | 69 |
## | -77.84 | 27 *
## | 1 |
## | -75.91 | 28 *
## | 46 |
## | -83.76 | 29 *
## | 53 |
## | -62.39 | 30 *
## | 42 |
## | -59.54 | 31 *
## | 4 |
## | -53.67 | 32 *
## | 3 |
## | -46.96 | 33 *
## | 9 |
## | -49.06 | 34 *
## | 27 |
## | -47.35 | 35 *
## | 55 |
## | -16.48 | 36 *
## | |
## =====================
The result shows us that the best position for this marker (with higher LOD) is the 1 (as before). Let’s now include the marker at this position using:
<- make_seq(LG2_temp, 1)
LG2_f2_final
rf_graph_table(LG2_f2_final)
Check the final map (results not shown):
ripple_seq(LG2_f2_final, ws = 5)
Print it:
LG2_f2_final
##
## Printing map:
##
## Markers Position Parent 1 Parent 2
##
## 23 M23 0.00 o | | o a | | o
## 60 M60 20.56 a | | o o | | o
## 29 M29 23.28 a | | b b | | a
## 67 SNP1 31.78 a | | b b | | a
## 44 M44 34.45 a | | b b | | a
## 68 SNP2 36.34 a | | b b | | a
## 36 M36 39.16 o | | o o | | a
## 40 M40 46.12 a | | b b | | a
## 26 M26 49.76 a | | b b | | a
## 63 M63 57.55 a | | b b | | a
## 34 M34 57.65 o | | o o | | a
## 31 M31 65.81 o | | o a | | o
## 17 M17 69.86 a | | b b | | a
## 73 SNP8 75.52 a | | b b | | a
## 12 M12 76.97 a | | b b | | a
## 75 SNP10 78.85 a | | b b | | a
## 74 SNP9 85.22 a | | b b | | a
## 58 M58 93.64 a | | o o | | o
## 35 M35 100.56 a | | o o | | o
## 13 M13 107.37 o | | o a | | o
## 6 M6 112.58 o | | o a | | o
## 71 SNP6 119.56 a | | b b | | a
## 70 SNP5 124.96 a | | b b | | a
## 7 M7 126.64 a | | b b | | a
## 72 SNP7 129.82 a | | b b | | a
## 30 M30 140.15 a | | b b | | a
## 69 SNP3 142.93 a | | b b | | a
## 1 M1 148.06 a | | b b | | a
## 46 M46 156.61 a | | b b | | a
## 53 M53 160.81 o | | o o | | a
## 42 M42 162.55 a | | o o | | o
## 4 M4 168.91 a | | o o | | o
## 3 M3 170.65 o | | o a | | o
## 9 M9 181.46 o | | o a | | o
## 27 M27 183.56 a | | b b | | a
## 55 M55 191.20 a | | b b | | a
##
## 36 markers log-likelihood: -2476.71
This is the final version of the map for this linkage group.
Linkage group 3
Automatic usage of try algorithm.
<- order_seq(input.seq = LG3_ug_f2, n.init = 5,
LG3_f2_ord subset.search = "twopt",
twopt.alg = "rcd", THRES = 3,
touchdown = TRUE)
A careful examination of the graphics can be a good source of information about how markers were placed.
Now, get the order with all markers:
<- make_seq(LG3_f2_ord, "force")) (LG3_f2_final
##
## Printing map:
##
## Markers Position Parent 1 Parent 2
##
## 47 M47 0.00 a | | b a | | b
## 19 M19 7.68 a | | o o | | o
## 39 M39 8.98 o | | o o | | a
## 38 M38 15.59 a | | b a | | b
## 59 M59 23.86 a | | o o | | o
## 49 M49 24.32 o | | o a | | o
## 76 SNP11 32.50 a | | b a | | b
## 28 M28 33.81 a | | b a | | b
## 80 SNP15 36.11 a | | b a | | b
## 78 SNP13 42.82 a | | b a | | b
## 85 SNP20 52.38 a | | b a | | b
## 83 SNP18 57.63 a | | b a | | b
## 14 M14 59.25 a | | b a | | b
## 82 SNP17 61.56 a | | b a | | b
## 16 M16 67.72 a | | b a | | b
## 65 M65 72.93 a | | b a | | b
## 77 SNP12 78.35 a | | b a | | b
## 79 SNP14 88.64 a | | b a | | b
## 62 M62 98.09 a | | b a | | b
## 15 M15 101.64 a | | o o | | o
## 21 M21 105.74 a | | b a | | b
## 24 M24 107.72 o | | o a | | o
## 20 M20 114.56 o | | o a | | o
## 50 M50 138.46 o | | o a | | o
## 56 M56 141.91 a | | b a | | b
## 87 SNP22 153.60 a | | b a | | b
## 86 SNP21 159.91 a | | b a | | b
## 18 M18 163.36 a | | b a | | b
## 88 SNP23 164.83 a | | b a | | b
## 22 M22 170.26 a | | b a | | b
## 57 M57 173.68 a | | b a | | b
## 48 M48 179.82 a | | b a | | b
## 64 M64 185.51 a | | o o | | o
## 52 M52 187.45 a | | b a | | b
## 84 SNP19 189.98 a | | b a | | b
## 81 SNP16 196.26 a | | b a | | b
##
## 36 markers log-likelihood: -2633.912
Check heatmap:
rf_graph_table(LG3_f2_final)
Markers 34
, 39
, 50
, 56
, 20
, 24
and 64
seem to broke the color pattern. We will remove them and use try_seq to find better locations:
<- drop_marker(LG3_f2_final, c(34,39,50,56, 20,24, 64)) LG3_edit
## Warning in drop_marker(LG3_f2_final, c(34, 39, 50, 56, 20, 24, 64)): marker 34
## was not in the sequence
<- order_seq(LG3_edit) # We remove several markers maybe it's better to order again LG3_edit_map
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<- make_seq(LG3_edit_map, "force")
LG3_edit_map
rf_graph_table(LG3_edit_map)
Adding one by one we can see how each one changes the map log-likelihood, map size, and the color pattern in the heatmap and judge if we will remove them.
<- try_seq(LG3_edit_map, 34)
LG3_edit <- make_seq(LG3_edit, 1) # Not included
LG3_edit_temp <- try_seq(LG3_edit_map, 39)
LG3_edit <- make_seq(LG3_edit, 3)
LG3_edit_temp <- LG3_edit_temp # include
LG3_edit_map <- try_seq(LG3_edit_map, 50)
LG3_edit <- make_seq(LG3_edit, 22) # Not included
LG3_edit_temp <- try_seq(LG3_edit_map, 56)
LG3_edit <- make_seq(LG3_edit, 22) # Not included
LG3_edit_temp <- try_seq(LG3_edit_map, 20)
LG3_edit <- make_seq(LG3_edit, 22)
LG3_edit_temp <- LG3_edit_temp # include
LG3_edit_map <- try_seq(LG3_edit_map, 24)
LG3_edit <- make_seq(LG3_edit, 22)
LG3_edit_temp <- LG3_edit_temp # include
LG3_edit_map <- try_seq(LG3_edit_map, 64)
LG3_edit <- make_seq(LG3_edit, 23) # Not included
LG3_edit_temp
<- LG3_edit_map LG3_f2_final
Check the final map (not shown):
ripple_seq(LG3_f2_final, ws = 5)
The fifth window presented alternative orders that seem better than the current one. Let’s try to substitute the current order with the best presented by ripple. See that, instead of 59-49-76-28-80
we have 59-49-76-80-28
. Let’s find this window and substitute the sequence:
<- which(LG3_f2_final$seq.num == 59)
idx <- LG3_f2_final$seq.num
new_seq :(idx+4)] <- c(59, 49, 76, 80, 28)
new_seq[idx<- make_seq(twopts_f2, new_seq) LG3_edit_seq
Now, we estimate the distances for this already known order using map
:
<- onemap::map(LG3_edit_seq) LG3_edit_map
Print it:
<- LG3_edit_map
LG3_f2_final
rf_graph_table(LG3_f2_final)
Using the recombinations and the reference genome information
In our example, we have reference genome chromosome and position information for some of the markers, here we will exemplify one method of using this information to help build the genetic map.
With the CHROM
information in the input file, you can identify markers belonging to some chromosome using the function make_seq
with the rf_2pts
object. For example, assign the string "1"
for the second argument to get chromosome 1 makers. The output sequence will be automatically ordered by POS
information.
<- make_seq(twopts_f2, "1")
CHR1 CHR1
##
## Number of markers: 9
## Markers in the sequence:
## SNP1 SNP2 SNP3 SNP5 SNP6 SNP7 SNP8 SNP9 SNP10
##
## Parameters not estimated.
<- make_seq(twopts_f2, "2")
CHR2 <- make_seq(twopts_f2, "3") CHR3
Adding markers with no reference genome information
According to CHROM
information we have three defined linkage groups, now we can try to group the markers without chromosome information to them using recombination information. For this, we can use the function group_seq
:
<- group_seq(input.2pts = twopts_f2, seqs = "CHROM", unlink.mks = mark_all_f2,
CHR_mks repeated = FALSE)
## Selecting markers:
## group 1
## ............................................................
## ..............
## Selecting markers:
## group 1
## ............................................................
## ..................
## Selecting markers:
## group 1
## ............................................................
## .......
## There are one or more markers that grouped in more than one sequence
The function works as the function group
but considering pre-existing sequences. Setting seqs
argument with the string "CHROM"
, it will consider the pre-existing sequences according to CHROM
information. You can also indicate other pre-existing sequences if it makes sense for your study. For that, you should inform a list with objects of class sequences
, as the example:
<- group_seq(input.2pts = twopts_f2, seqs = list(CHR1=CHR1, CHR2=CHR2, CHR3=CHR3),
CHR_mks unlink.mks = mark_all_f2, repeated = FALSE)
In this case, the command had the same effect as the previous, because we indicate chromosome sequences, but others sequences can be used.
The unlink.mks
argument receives an object of class sequence
, this defines which markers will be tested to group with the sequences in seqs
. In our example, we will indicate only the markers with no segregation distortion, using the sequence mark_no_dist
. It is also possible to use the string "all"
to test all the remaining markers at the rf_2pts
object.
In some cases, the same marker can group into more than one sequence, those markers will be considered repeated
. We can choose if we want to remove or not (FALSE/TRUE
) them of the output sequences, with the argument rm.repeated
. Anyway, their numbers will be informed at the list repeated
in the output object.
In the example case, there are no repeated markers. However, if they exist, it could indicate that their groups actually constitute the same group. Also, genotyping errors can generate repeated markers. Anyway, they deserve better investigations.
We can access detailed information about the results just by printing:
CHR_mks
## This is an object of class 'group_seq'
## Criteria used to assign markers to groups:
## LOD = , Maximum recombination fraction =
##
## No. markers in input sequences:
## CHR1 : 9 markers
## CHR2 : 13 markers
## CHR3 : 2 markers
##
## No. unlinked input markers: 66 markers
##
## No. markers in output sequences:
## CHR1 : 9 markers
## CHR2 : 13 markers
## CHR3 : 2 markers
## No. unlinked: 0 markers
## No. repeated: 66 markers
##
## Printing output sequences:
## Group CHR1 : 9 markers
## SNP1 SNP2 SNP3 SNP5 SNP6 SNP7 SNP8 SNP9 SNP10
##
## Group CHR2 : 13 markers
## SNP11 SNP12 SNP13 SNP14 SNP15 SNP16 SNP17 SNP18 SNP19 SNP20 SNP21 SNP22 SNP23
##
## Group CHR3 : 2 markers
## SNP24 SNP26
##
## Unlinked markers: 0 markers
##
##
## Repeated markers: 66 markers
##
## Group CHR1 : 66 markers
## M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 M16 M17 M18 M19 M20 M21 M22 M23 M24 M25 M26 M27 M28 M29 M30 M31 M32 M33 M34 M35 M36 M37 M38 M39 M40 M41 M42 M43 M44 M45 M46 M47 M48 M49 M50 M51 M52 M53 M54 M55 M56 M57 M58 M59 M60 M61 M62 M63 M64 M65 M66
##
## Group CHR2 : 66 markers
## M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 M16 M17 M18 M19 M20 M21 M22 M23 M24 M25 M26 M27 M28 M29 M30 M31 M32 M33 M34 M35 M36 M37 M38 M39 M40 M41 M42 M43 M44 M45 M46 M47 M48 M49 M50 M51 M52 M53 M54 M55 M56 M57 M58 M59 M60 M61 M62 M63 M64 M65 M66
##
## Group CHR3 : 66 markers
## M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 M12 M13 M14 M15 M16 M17 M18 M19 M20 M21 M22 M23 M24 M25 M26 M27 M28 M29 M30 M31 M32 M33 M34 M35 M36 M37 M38 M39 M40 M41 M42 M43 M44 M45 M46 M47 M48 M49 M50 M51 M52 M53 M54 M55 M56 M57 M58 M59 M60 M61 M62 M63 M64 M65 M66
Also, we can access the numbers of repeated markers with:
$repeated CHR_mks
## $CHR1
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
## [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
## [51] 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66
##
## $CHR2
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
## [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
## [51] 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66
##
## $CHR3
## [1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
## [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
## [51] 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66
In the same way, we can access the output sequences:
$sequences$CHR1 CHR_mks
##
## Number of markers: 9
## Markers in the sequence:
## SNP1 SNP2 SNP3 SNP5 SNP6 SNP7 SNP8 SNP9 SNP10
##
## Parameters not estimated.
# or
$sequences[[1]] CHR_mks
##
## Number of markers: 9
## Markers in the sequence:
## SNP1 SNP2 SNP3 SNP5 SNP6 SNP7 SNP8 SNP9 SNP10
##
## Parameters not estimated.
For this function, optional arguments are LOD
and max.rf
, which define thresholds to be used when assigning markers to linkage groups. If none is provided (default), criteria previously defined for the object rf_2pts
are used.
In our example, all markers without genomic information grouped with all chromosomes, then this approach did not give us more information about grouping and from here we could follow the same strategy did in Ordering markers within linkage groups.
Map estimation for an arbitrary order
If you have some information about the order of the markers, for example, from a reference genome or previously published paper, you can define a sequence of those markers in a specific order (using the function make_seq
) and then use the function map
to estimate the final genetic map (based on multi-point analysis). For example, let us assume that we know that the following markers are ordered in this sequence: M47
, M38
, M59
, M16
, M62
, M21
, M20
, M48
and M22
. In this case, select them from the two-point analysis, and use function map
:
<- make_seq(twopts_f2, c(47, 38, 59, 16, 62, 21, 20, 48, 22)) LG3seq_f2
<- map(LG3seq_f2) LG3seq_f2_map
Warning: If you find an error message like:
Error in as_mapper(.f, ...) : argument ".f" is missing, with no default
It’s because the map
function has a very common name and you can have in your environment another function with the same name. In the case of the presented error, R is using the map
function from purrr
package instead of OneMap
, to solve this, simply specify that you want the OneMap
function with ::
command from stringr
package:
library(stringr)
<- onemap::map(LG3seq_f2)) (LG3seq_f2_map
##
## Printing map:
##
## Markers Position Parent 1 Parent 2
##
## 47 M47 0.00 a | | b a | | b
## 38 M38 14.69 a | | b a | | b
## 59 M59 24.45 a | | o o | | o
## 16 M16 38.96 a | | b a | | b
## 62 M62 49.22 a | | b a | | b
## 21 M21 56.19 a | | b a | | b
## 20 M20 65.10 o | | o a | | o
## 48 M48 73.14 a | | b a | | b
## 22 M22 81.80 a | | b a | | b
##
## 9 markers log-likelihood: -1004.624
NOTE: (new!) If your map population is F2 intercross and your sequence has many markers (more than 60), we suggest to speed up map
using BatchMap parallelization approach. See section Speed up analysis with parallelization
for more information.
This is a subset of the first linkage group. When used this way, the map
function searches for the best combination of phases between markers and prints the results.
To see the correspondence between marker names and numbers, use function marker_type
:
marker_type(LG3seq_f2_map)
## Marker Marker.name Type
## 1 47 M47 A.H.B
## 2 38 M38 A.H.B
## 3 59 M59 C.A
## 4 16 M16 A.H.B
## 5 62 M62 A.H.B
## 6 21 M21 A.H.B
## 7 20 M20 D.B
## 8 48 M48 A.H.B
## 9 22 M22 A.H.B
If one needs to add or drop markers from a predefined sequence, functions add_marker
and drop_marker
can be used. For example, to add markers M18
, M56
and M50
at the end of LG3seq_f2_map
:
<- add_marker(LG3seq_f2_map, c(18, 56, 50))) (LG3seq_f2_map
##
## Number of markers: 12
## Markers in the sequence:
## M47 M38 M59 M16 M62 M21 M20 M48 M22 M18 M56 M50
##
## Parameters not estimated.
Removing markers M59
and 21
from LG3seq_f2_map
:
<- drop_marker(LG3seq_f2_map, c(59, 21))) (LG3seq_f2_map
##
## Number of markers: 10
## Markers in the sequence:
## M47 M38 M16 M62 M20 M48 M22 M18 M56 M50
##
## Parameters not estimated.
Drawing the genetic map
Once all linkage groups were obtained using both strategies, we can draw a map for each strategy using the function draw_map
. Since version 2.1.1007, OneMap
has a new version of draw_map
, called draw_map2
. The new function draws elegant linkage groups and presents new arguments to personalize your draw.
If you prefer the old function, we also keep it. Follow examples of how to use both of them.
Draw_map
We can draw a genetic map for all linkage groups using the function draw_map
. First, we have to create a list of ordered linkage groups:
<- list(LG1_f2_final, LG2_f2_final, LG3_f2_final) maps_list
Then use function draw_map
for this list:
draw_map(maps_list, names = TRUE, grid = TRUE, cex.mrk = 0.7)
We also can draw a map for a specific linkage group:
draw_map(LG1_f2_final, names = TRUE, grid = TRUE, cex.mrk = 0.7)
Function draw_map
draws a very simple graphic representation of the genetic map. More recently, we developed a new version called draw_map2
that draws a more sophisticated figure. Furthermore, once the distances and the linkage phases are estimated, other map figures can be drawn by the user with any appropriate software.
Draw_map2
The same figures did with draw_map
can be done with the draw_map2
function. But it has different capacities and arguments. Here are some examples, but you can find more options on the help page ?write_map2
.
Let’s draw all three groups built:
draw_map2(LG1_f2_final, LG2_f2_final, LG3_f2_final, main = "Only linkage information",
group.names = c("LG1", "LG2", "LG3"))
You can include all sequence
objects referring to the groups as the first arguments. The main
argument defines the main title of the draw and group.names
define the names of each group. If no output
file and file extension is defined, the draw will be generated at your working directory as map.eps
. The eps extension is only the default option but there are others that can be used. You can have access to a list of them on the help page.
We also can draw a map for a specific linkage group:
draw_map2(LG1_f2_final, col.group = "#58A4B0", col.mark = "#335C81", output = "map_LG1.pdf")
You can also change the default colors using the col.group
and col.mark
arguments.
With argument tag
you can highlight some markers at the figure according to your specific purpose.
Speed up analysis with parallelization (new!)
Warning: Only available for outcrossing and f2 intercross populations.
As already mentioned, OneMap
uses HMM multipoint approach to estimate genetic distances, a very robust method, but it can take time to run if you have many markers. In 2017, Schiffthaler et. al release an OneMap
fork with modifications in CRAN and in GitHub with the possibility of parallelizing the HMM chain dividing markers in batches and use different cores for each phase. Their approach speeds up our HMM and keeps the genetic distances estimation quality. It allows dividing the job into a maximum of four cores according to the four possible phases for outcrossing and f2 mapping populations. We add this parallelized approach to the functions: map
, mds_onemap
, seriation
, rcd
, record
and ug
. For better efficiency it is important that batches are composed of 50 markers or more, therefore, this approach is only recommended for linkage groups with many markers.
The parallelization is here available for all types of operational systems, however, we suggest setting argument parallelization.type
to FORK
if you are not using Windows system. It will improve the procedure speed.
Here we will show an example of how to use the BatchMap approach in some functions that requires HMM. For this, we simulated a dataset with a group with 300 markers (we don’t want this vignette to take too much time to run, but usually maps with markers from high-throughput technologies result in larger groups). Before start, you can see the time spent for each approach (See also Session Info) in this example:
Without parallelization (h) | With parallelization (h) | |
---|---|---|
rcd | 0.6801889 | 0.1260436 |
record_map | 1.8935892 | 0.3330297 |
ug_map | 1.1002725 | 0.2256356 |
mds_onemap | 2.1478900 | 0.4443492 |
map | 2.1042114 | 0.6156722 |
<- read_onemap(system.file("extdata/simParall_f2.raw", package = "onemap")) # dataset available only in onemap github version
simParallel plot(simParallel)
# Calculates two-points recombination fractions
<- rf_2pts(simParallel)
twopts
<- make_seq(twopts, "all")
seq_all
# There are no redundant markers
find_bins(simParallel)
# There are no distorted markers
print(test_segregation(simParallel)) # Not shown
To prepare the data with defined bach size we use function pick_batch_sizes
. It selects a batch size that splits the data into even groups. Argument size
defines the batch size next to which an optimum size will be searched. overlap
defines the number of markers that overlap between the present batch and next. This is used because pre-defined phases at these overlap markers in the present batch are used to start the HMM in the next batch. The around
argument defines how much the function can vary around the defined number in size
to search for the optimum batch size.
Some aspects should be considered to define these arguments because if the batch size were set too high, there would be less gain in execution time. If the overlap size would be too small, phases would be incorrectly estimated and large gaps would appear in the map, inflating its size. In practice, these values will depend on many factors such as population size, marker quality, and species. BatchMap authors recommended trying several configurations on a subset of data and select the best performing one.
<- pick_batch_sizes(input.seq = seq_all,
batch_size size = 80,
overlap = 30,
around = 10)
batch_size
Speed up two-points ordering approaches
To use the parallelized approach you just need to include the arguments when using the functions:
# Without parallelization
<- rcd(input.seq = seq_all)
rcd_map
# With parallelization
<- rcd(input.seq = seq_all,
rcd_map_par phase_cores = 4,
size = batch_size,
overlap = 30)
# Without parallelization
<- record(input.seq = seq_all)
record_map
# With parallelization
<- record(input.seq = seq_all,
record_map_par phase_cores = 4,
size = batch_size,
overlap = 30)
# Without parallelization
<- ug(input.seq = seq_all)
ug_map
# With parallelization
<- ug(input.seq = seq_all,
ug_map_par phase_cores = 4,
size = batch_size,
overlap = 30)
Speed up mds_onemap
# Without parallelization ok
<- mds_onemap(input.seq = seq_all)
map_mds
# With parallelization
<- mds_onemap(input.seq = seq_all,
map_mds_par phase_cores = 4,
size = batch_size,
overlap = 30)
Speed up map estimation for an arbitrary order (map function)
Because we simulate this dataset we know the correct order. We can use map_overlapping_batches
to estimate genetic distance in this case. This is equivalent to map
, but with the parallelized process.
Similarly with map
, using argument rm_unlinked = TRUE
the function will return a vector with marker numbers without the problematic marker. To repeat the analysis removing automatically all problematic markers use map_avoid_unlinked
:
# Without parallelization
<- map_avoid_unlinked(input.seq = seq_all)
batch_map
# With parallelization
<- map_avoid_unlinked(input.seq = seq_all,
batch_map_par size = batch_size,
phase_cores = 4,
overlap = 30)
As you can see in the above maps, heuristic ordering algorithms do not return an optimal order result, mainly if you don’t have many individuals in your population. Because of the erroneous order, generated map sizes are not close to the simulated size (100 cM) and their heatmaps don’t present the expected color pattern. Two of them get close to the color pattern, they are the ug and the MDS method. They present good global ordering but not local. If you have a reference genome, you can use its position information to rearrange local ordering. # Export estimated progeny haplotypes (new!)
Function progeny_haplotypes
generates a data.frame with progeny phased haplotypes estimated by OneMap
HMM. For progeny, the HMM results in probabilities for each possible genotype, then the generated data.frame contains all possible genotypes. If most_likely = TRUE
the most likely genotype receives 1 and the rest 0 (if there are two most likely both receive 0.5), if most_likely = FALSE
genotypes probabilities will be according to the HMM results. You can choose which individual to be evaluated in ind
. The data.frame is composed of the information: individual (ind) and group (grp) ID, position in centimorgan (pos), progeny homologs (homologs), and from each parent the allele came (parents).
<- progeny_haplotypes(LG2_f2_final, most_likely = TRUE, ind = 2, group_names = "LG2_final")) (progeny_haplot
## ind marker grp pos prob progeny.homologs parents allele
## 1 IND2 M23 LG2_final 0.00000 0 H1 P1 H1_P1
## 2 IND2 M60 LG2_final 20.56485 0 H1 P1 H1_P1
## 3 IND2 M29 LG2_final 23.27857 0 H1 P1 H1_P1
## 4 IND2 SNP1 LG2_final 31.78339 0 H1 P1 H1_P1
## 5 IND2 M44 LG2_final 34.44508 0 H1 P1 H1_P1
## 6 IND2 SNP2 LG2_final 36.34228 0 H1 P1 H1_P1
## 7 IND2 M36 LG2_final 39.16418 0 H1 P1 H1_P1
## 8 IND2 M40 LG2_final 46.11760 1 H1 P1 H1_P1
## 9 IND2 M26 LG2_final 49.76391 1 H1 P1 H1_P1
## [ reached 'max' / getOption("max.print") -- omitted 135 rows ]
You can also have a view of progeny estimated haplotypes using plot
. It shows which markers came from each parent’s homologs. position
argument defines if haplotypes will be plotted by homologs (stack
) or alleles (split
). split
option is a good way to better view the likelihoods of each allele.
plot(progeny_haplot, position = "stack")
plot(progeny_haplot, position = "split")
Final remarks
At this point, it should be clear that any potential OneMap
user must have some knowledge about genetic mapping and also the R language, because the analysis is not done with only one mouse click. In the future, perhaps a graphical interface will be made available to make this software is a lot easier to use.
We do hope that OneMap
is useful to researchers interested in genetic mapping in outcrossing or inbred-based populations. Any suggestions and critics are welcome.
Session Info
sessionInfo()
## R version 4.1.0 (2021-05-18)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19043)
##
## Matrix products: default
##
## locale:
## [1] LC_COLLATE=English_United States.1252
## [2] LC_CTYPE=English_United States.1252
## [3] LC_MONETARY=English_United States.1252
## [4] LC_NUMERIC=C
## [5] LC_TIME=English_United States.1252
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] stringr_1.4.0 onemap_2.8.0
##
## loaded via a namespace (and not attached):
## [1] minqa_1.2.4 colorspace_2.0-2 ggsignif_0.6.3
## [4] ellipsis_0.3.2 class_7.3-19 rio_0.5.27
## [7] htmlTable_2.3.0 base64enc_0.1-3 rstudioapi_0.13
## [10] proxy_0.4-26 mice_3.13.0 farver_2.1.0
## [13] ggpubr_0.4.0 fansi_0.5.0 codetools_0.2-18
## [16] splines_4.1.0 doParallel_1.0.16 knitr_1.36
## [19] Formula_1.2-4 polynom_1.4-0 jsonlite_1.7.2
## [22] nloptr_1.2.2.2 broom_0.7.9 cluster_2.1.2
## [25] png_0.1-7 httr_1.4.2 compiler_4.1.0
## [28] backports_1.2.1 lazyeval_0.2.2 assertthat_0.2.1
## [31] Matrix_1.3-3 fastmap_1.1.0 htmltools_0.5.2
## [34] tools_4.1.0 rebus.base_0.0-3 gtable_0.3.0
## [37] glue_1.4.2 reshape2_1.4.4 dplyr_1.0.7
## [40] Rcpp_1.0.7 carData_3.0-4 cellranger_1.1.0
## [43] jquerylib_0.1.4 vctrs_0.3.8 ape_5.5
## [46] gdata_2.18.0 nlme_3.1-152 iterators_1.0.13
## [49] pinfsc50_1.2.0 xfun_0.24 rebus.datetimes_0.0-1
## [52] openxlsx_4.2.4 lme4_1.1-27.1 lifecycle_1.0.1
## [55] rebus.numbers_0.0-1 weights_1.0.4 gtools_3.9.2
## [58] rstatix_0.7.0 dendextend_1.15.1 princurve_2.1.6
## [61] candisc_0.8-6 MASS_7.3-54 scales_1.1.1
## [64] heplots_1.3-9 hms_1.1.1 parallel_4.1.0
## [67] smacof_2.1-3 RColorBrewer_1.1-2 yaml_2.2.1
## [70] curl_4.3.2 gridExtra_2.3 ggplot2_3.3.5
## [73] sass_0.4.0 rpart_4.1-15 latticeExtra_0.6-29
## [ reached getOption("max.print") -- omitted 56 entries ]
References
Adler, J. R in a Nutshell A Desktop Quick Reference, 2009.
Broman, K. W., Wu, H., Churchill, G., Sen, S., Yandell, B. qtl: Tools for analyzing QTL experiments R package version 1.09-43, 2008.
Buetow, K. H., Chakravarti, A. Multipoint gene mapping using seriation. I. General methods. American Journal of Human Genetics 41, 180-188, 1987.
Doerge, R.W. Constructing genetic maps by rapid chain delineation. Journal of Agricultural Genomics 2, 1996.
Garcia, A.A.F., Kido, E.A., Meza, A.N., Souza, H.M.B., Pinto, L.R., Pastina, M.M., Leite, C.S., Silva, J.A.G., Ulian, E.C., Figueira, A. and Souza, A.P. Development of an integrated genetic map of a sugarcane Saccharum spp. commercial cross, based on a maximum-likelihood approach for estimation of linkage and linkage phases. Theoretical and Applied Genetics 112, 298-314, 2006.
Haldane, J. B. S. The combination of linkage values and the calculation of distance between the loci of linked factors. Journal of Genetics 8, 299-309, 1919.
Jiang, C. and Zeng, Z.-B. Mapping quantitative trait loci with dominant and missing markers in various crosses from two inbred lines. Genetica 101, 47-58, 1997.
Kosambi, D. D. The estimation of map distance from recombination values. Annuaire of Eugenetics 12, 172-175, 1944.
Lander, E. S. and Green, P. Construction of multilocus genetic linkage maps in humans. Proc. Natl. Acad. Sci. USA 84, 2363-2367, 1987.
Lander, E.S., Green, P., Abrahanson, J., Barlow, A., Daly, M.J., Lincoln, S.E. and Newburg, L. MAPMAKER, An interactive computing package for constructing primary genetic linkage maps of experimental and natural populations. Genomics 1, 174-181, 1987.
Lincoln, S. E., Daly, M. J. and Lander, E. S. Constructing genetic linkage maps with MAPMAKER/EXP Version 3.0: a tutorial and reference manual. A Whitehead Institute for Biomedical Research Technical Report 1993.
Matloff, N. The Art of R Programming. 2011. 1st ed. San Francisco, CA: No Starch Press, Inc., 404 pages.
Margarido, G. R. A., Souza, A.P. and Garcia, A. A. F. OneMap: software for genetic mapping in outcrossing species. Hereditas 144, 78-79, 2007.
Mollinari, M., Margarido, G. R. A., Vencovsky, R. and Garcia, A. A. F. Evaluation of algorithms used to order markers on genetics maps. Heredity 103, 494-502, 2009.
Oliveira, K.M., Pinto, L.R., Marconi, T.G., Margarido, G.R.A., Pastina, M.M., Teixeira, L.H.M., Figueira, A.M., Ulian, E.C., Garcia, A.A.F., Souza, A.P. Functional genetic linkage map on EST-markers for a sugarcane (Saccharum spp.) commercial cross. Molecular Breeding 20, 189-208, 2007.
Oliveira, E. J., Vieira, M. L. C., Garcia, A. A. F., Munhoz, C. F.,Margarido, G. R.A., Consoli, L., Matta, F. P., Moraes, M. C., Zucchi, M. I., and Fungaro,M. H. P. An Integrated Molecular Map of Yellow Passion Fruit Based on Simultaneous Maximum-likelihood Estimation of Linkage and Linkage Phases J. Amer. Soc. Hort. Sci. 133, 35-41, 2008.
Tan, Y., Fu, Y. A novel method for estimating linkage maps. Genetics 173, 2383-2390, 2006.
Van Os H, Stam P, Visser R.G.F., Van Eck H.J. RECORD: a novel method for ordering loci on a genetic linkage map. Theor Appl Genet 112, 30-40, 2005.
Voorrips, R.E. MapChart: software for the graphical presentation of linkage maps and QTLs. Journal of Heredity 93, 77-78, 2002.
Wang S., Basten, C. J. and Zeng Z.-B. Windows QTL Cartographer 2.5. Department of Statistics, North Carolina State University, Raleigh, NC, 2010. https://brcwebportal.cos.ncsu.edu/qtlcart/
Wu, R., Ma, C.X., Painter, I. and Zeng, Z.-B. Simultaneous maximum likelihood estimation of linkage and linkage phases in outcrossing species. Theoretical Population Biology 61, 349-363, 2002a.
Wu, R., Ma, C.-X., Wu, S. S. and Zeng, Z.-B. Linkage mapping of sex-specific differences. Genetical Research 79, 85-96, 2002b.