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1
QTL mapping
Prof. ( Dr.) Harpal Singh
2
Background
Genotypes influence phenotypes
– phenotype determined by a single gene
Mendelian rules e.g. colour of flowers
– phenotype determined by multiple genes
e.g. coat colour in horses
– phenotype determined by single gene and
environment e.g. cystic fibrosis
– multiple genes and environment
quantitative traits - traits with continuous
measurement e.g. milk yield, litter size,....
3
History – classical breeding
Aim : select parents to breed best possible
offspring
selection decision is based on:
– phenotypes
– relationship among animals
– simple genetic model
– complex statistical models to seperate
G and E
4
Basic model
 infinite number of genes
 each with a very very small effect
 all additive
G =  A
In most cases this model works very well
P = G + E
5
QTL – what is it ?
QTL = quantitative trait locus
A junk / segment of DNA (not necessarily a
gene) that affects a quantitative trait
6
 Though not necessarily genes themselves,
quantitative trait loci (QTLs) are stretches of DNA
that are closely linked to the genes that underlie the
trait in question. QTLs can be molecularly identified
(for example, with PCR) to help map regions of the
genome that contain genes involved in specifying a
quantitative trait. This can be an early step in
identifying and sequencing these genes.
 Moreover, a single phenotypic trait is usually
determined by many genes. Consequently, many QTLs
are associated with a single trait.
7
Mapping QTL
 Determining the location of a gene in the
genome
 Determining the effect of the alleles and
mode of action
8
QTL – why map it?
 To provide knowledge of individual gene
actions and interactions
 To build a more realistic model of phenotypic
variation, response to selection and
evolutionary processes
 To improve breeding value estimation and
selection response / reduce cost of breeding
programmes through marker assisted
selection
9
Why map QTL?
The detection and localization of QTL is valuable for
several reasons
 Firstly, we still know very little about the genetic
background of quantitative traits such as growth,
muscular development, milk yield, disease resistance
etc
 Mapping of QTL gives us better insight into the
action and interaction of individual genes, which will
give us opportunities to refine the genetic models
used to describe the variation in quantitative traits.
10
 Secondly, associations between genetic markers and
QTL can be utilized to improve the efficiency of
selection schemes
 Thirdly, mapping of QTL will eventually allow us to
identify some of the genes and to study the molecular
biology underlying the traits
 This knowledge may in the near future be used for
genetic modification of genes that are important in
breeding programs, for development of efficient
vaccines etc
11
Basic principles of QTL mapping
 To detect genes (segments of DNA) that
cause variation in quantitative traits
 using phenotypic data
 molecular markers
 pedigree information
12
A full genome scan for QTL
includes five steps:
 Choice of a mapping population
 Collection of phenotype data
 Genotyping
 Setting up a genetic model for QTL
 Drawing statistical inference from data
13
Linkage
 2 loci on 2 different chromosomes segregate
independently from each other. Their chance
to be inherited together (co-inherit) is 0,5.
These loci are unlinked.
 2 loci are said to be linked if they are located
on the same chromosome and segregate
together.
 Due to recombination 2 loci on the same
chromosome have got a chance to be not
inherited together.
14
Recombination
 During meiosis, the chromosome often breaks
up and rejoins with its homologue
chromosome, resulting in new chromosomal
combinations (cross overs).
 The greater the distance between 2 loci on a
chromosome the more likely it is that there
is a recombination between them.
15
Recombination / cross over
A b
a b
a B
A B 1-r
1-r
r
r
a b
A B
2 homologue
chromosomes
possible gametes
no recombination
no recombination
recombination
recombination
16
cross over
17
recombinant
2 loci: A , B; alleles A, a and B, b
F1
F2
2 inbred parental lines
nonrecombinant
18
recombination rate
recombination rate = r
number of recombinants
(nr recombinants + nr
nonrecombinants)
r =
19
Mapping functions
 The mapping function gives the relationship
between the distance of 2 chromosomal
locations on a genetic map and their
recombination frequency.
 The distance between 2 loci is determined by
their recombination fraction.
 The mapping unit is Morgan.
 1 Morgan is the distance over which on
average 1 cross over /recombination occurs
per meiosis.
20
Principles of QTL mapping
M Q
m q
paternal haplotype
maternal haplotype
linkage cross over /
recombination
M
Q
m
q
M
q
m
q
observed markerlocus unobserved QTL locus
21
Principles of QTL mapping
M Q
m q
paternal haplotype
maternal haplotype
M
Q
m
q
observed markerlocus unobserved QTL locus
Linkage / co-segregation of QTL
alleles and linked marker alleles
22
Principles of QTL mapping
 Molecular Markers enable us to follow the
inheritance of segments in the genome from
parent to offspring.
– i.e. we know which of the two alleles has been inherited.
 If a QTL is linked to a marker it will tend to
segregate with it.
 If an individual is heterozygous both at the
marker and QTL we expect to see a
difference in the mean performance of those
having inherited one allele vs. those having
inherited the other QTL allele.
23
Principles of QTL mapping
Q m
q m
q M
Q M 1-r
1-r
r
r
q m
Q M
Compare
mean
phenotype
(1-2r)
parental
haplotypes
gametes
24
Markers
Genetic marker can be defined as any stable and inherited
variation that can be measured or detected by a suitable
method, and can be used subsequently to detect the
presence of a specific genotype or phenotype other than
itself
 phenotpyic markers:
– coat colour
– blood type
– polledness
 genetic / molecular markers:
– DNA
– can be made visible with molecular methods
– microsatellites, SNP
25
QTL mapping methods: Analysis of
variance
 The simplest method for QTL mapping is
analysis of variance at the marker loci.
 In this method, in a backcross, one may
calculate a t-statistic to compare the
averages of the two marker genotype groups.
 For other types of crosses (such as the
intercross), where there are more than two
possible genotypes, one uses a more general
form of ANOVA, which provides a so-called F-
statistic.
26
 The ANOVA approach for QTL mapping has three
important weaknesses.
 First, we do not receive separate estimates of QTL
location and QTL effect. QTL location is indicated
only by looking at which markers give the greatest
differences between genotype group averages, and
the apparent QTL effect at a marker will be smaller
than the true QTL effect as a result of
recombination between the marker and the QTL.
 Second, we must discard individuals whose genotypes
are missing at the marker.
 Third, when the markers are widely spaced, the QTL
may be quite far from all markers, and so the power
for QTL detection will decrease.
27
Interval mapping
 Lander and Botstein developed interval mapping,
which overcomes the three disadvantages of analysis
of variance at marker loci.
 Interval mapping is currently the most popular
approach for QTL mapping in experimental crosses
 The method makes use of a genetic map of the typed
markers, and, like analysis of variance, assumes the
presence of a single QTL. Each location in the genome
is positioned, one at a time, as the location of the
putative QTL.
28
Composite interval mapping
 In this method, one performs interval mapping using a
subset of marker loci as covariates. These markers
serve as proxies for other QTLs to increase the
resolution of interval mapping, by accounting for
linked QTLs and reducing the residual variation
 The key problem with CIM concerns the choice of
suitable marker loci to serve as covariates; once
these have been chosen, CIM turns the model
selection problem into a single-dimensional scan.
 Not surprisingly, the appropriate markers are those
closest to the true QTLs, and so if one could find
these, the QTL mapping problem would be complete
anyway
29
Multiple QTL methods
 Methods that consider multiple QTLs simultaneously
have three advantages:
– Greater power to detect QTLs
– Greater ability to separate linked QTLs
– The ability to estimate interactions between QTLs
 These more complex methods may facilitate the
identification of additional QTLs and assist in
elucidating the complex genetic architecture
underlying many quantitative traits
 Model selection is the principal problem in multiple
QTL methods; the chief concern is the formation of
appropriate criteria for comparing models
30
 The simplest multiple QTL method, multiple
regression, should be used more widely, although, like
analysis of variance, it suffers in the presence of
appreciable missing marker genotype data.
 A forward selection procedure using interval mapping
is appropriate in cases of QTLs that act additively,
and makes proper allowance for missing genotype
data.
 MIM is an improved method, that, although
computationally intensive, can, in principle, map
multiple QTLs and identify interactions between
QTLs.

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Advanced biostatistics QTL mapping11.ppt

  • 1. 1 QTL mapping Prof. ( Dr.) Harpal Singh
  • 2. 2 Background Genotypes influence phenotypes – phenotype determined by a single gene Mendelian rules e.g. colour of flowers – phenotype determined by multiple genes e.g. coat colour in horses – phenotype determined by single gene and environment e.g. cystic fibrosis – multiple genes and environment quantitative traits - traits with continuous measurement e.g. milk yield, litter size,....
  • 3. 3 History – classical breeding Aim : select parents to breed best possible offspring selection decision is based on: – phenotypes – relationship among animals – simple genetic model – complex statistical models to seperate G and E
  • 4. 4 Basic model  infinite number of genes  each with a very very small effect  all additive G =  A In most cases this model works very well P = G + E
  • 5. 5 QTL – what is it ? QTL = quantitative trait locus A junk / segment of DNA (not necessarily a gene) that affects a quantitative trait
  • 6. 6  Though not necessarily genes themselves, quantitative trait loci (QTLs) are stretches of DNA that are closely linked to the genes that underlie the trait in question. QTLs can be molecularly identified (for example, with PCR) to help map regions of the genome that contain genes involved in specifying a quantitative trait. This can be an early step in identifying and sequencing these genes.  Moreover, a single phenotypic trait is usually determined by many genes. Consequently, many QTLs are associated with a single trait.
  • 7. 7 Mapping QTL  Determining the location of a gene in the genome  Determining the effect of the alleles and mode of action
  • 8. 8 QTL – why map it?  To provide knowledge of individual gene actions and interactions  To build a more realistic model of phenotypic variation, response to selection and evolutionary processes  To improve breeding value estimation and selection response / reduce cost of breeding programmes through marker assisted selection
  • 9. 9 Why map QTL? The detection and localization of QTL is valuable for several reasons  Firstly, we still know very little about the genetic background of quantitative traits such as growth, muscular development, milk yield, disease resistance etc  Mapping of QTL gives us better insight into the action and interaction of individual genes, which will give us opportunities to refine the genetic models used to describe the variation in quantitative traits.
  • 10. 10  Secondly, associations between genetic markers and QTL can be utilized to improve the efficiency of selection schemes  Thirdly, mapping of QTL will eventually allow us to identify some of the genes and to study the molecular biology underlying the traits  This knowledge may in the near future be used for genetic modification of genes that are important in breeding programs, for development of efficient vaccines etc
  • 11. 11 Basic principles of QTL mapping  To detect genes (segments of DNA) that cause variation in quantitative traits  using phenotypic data  molecular markers  pedigree information
  • 12. 12 A full genome scan for QTL includes five steps:  Choice of a mapping population  Collection of phenotype data  Genotyping  Setting up a genetic model for QTL  Drawing statistical inference from data
  • 13. 13 Linkage  2 loci on 2 different chromosomes segregate independently from each other. Their chance to be inherited together (co-inherit) is 0,5. These loci are unlinked.  2 loci are said to be linked if they are located on the same chromosome and segregate together.  Due to recombination 2 loci on the same chromosome have got a chance to be not inherited together.
  • 14. 14 Recombination  During meiosis, the chromosome often breaks up and rejoins with its homologue chromosome, resulting in new chromosomal combinations (cross overs).  The greater the distance between 2 loci on a chromosome the more likely it is that there is a recombination between them.
  • 15. 15 Recombination / cross over A b a b a B A B 1-r 1-r r r a b A B 2 homologue chromosomes possible gametes no recombination no recombination recombination recombination
  • 17. 17 recombinant 2 loci: A , B; alleles A, a and B, b F1 F2 2 inbred parental lines nonrecombinant
  • 18. 18 recombination rate recombination rate = r number of recombinants (nr recombinants + nr nonrecombinants) r =
  • 19. 19 Mapping functions  The mapping function gives the relationship between the distance of 2 chromosomal locations on a genetic map and their recombination frequency.  The distance between 2 loci is determined by their recombination fraction.  The mapping unit is Morgan.  1 Morgan is the distance over which on average 1 cross over /recombination occurs per meiosis.
  • 20. 20 Principles of QTL mapping M Q m q paternal haplotype maternal haplotype linkage cross over / recombination M Q m q M q m q observed markerlocus unobserved QTL locus
  • 21. 21 Principles of QTL mapping M Q m q paternal haplotype maternal haplotype M Q m q observed markerlocus unobserved QTL locus Linkage / co-segregation of QTL alleles and linked marker alleles
  • 22. 22 Principles of QTL mapping  Molecular Markers enable us to follow the inheritance of segments in the genome from parent to offspring. – i.e. we know which of the two alleles has been inherited.  If a QTL is linked to a marker it will tend to segregate with it.  If an individual is heterozygous both at the marker and QTL we expect to see a difference in the mean performance of those having inherited one allele vs. those having inherited the other QTL allele.
  • 23. 23 Principles of QTL mapping Q m q m q M Q M 1-r 1-r r r q m Q M Compare mean phenotype (1-2r) parental haplotypes gametes
  • 24. 24 Markers Genetic marker can be defined as any stable and inherited variation that can be measured or detected by a suitable method, and can be used subsequently to detect the presence of a specific genotype or phenotype other than itself  phenotpyic markers: – coat colour – blood type – polledness  genetic / molecular markers: – DNA – can be made visible with molecular methods – microsatellites, SNP
  • 25. 25 QTL mapping methods: Analysis of variance  The simplest method for QTL mapping is analysis of variance at the marker loci.  In this method, in a backcross, one may calculate a t-statistic to compare the averages of the two marker genotype groups.  For other types of crosses (such as the intercross), where there are more than two possible genotypes, one uses a more general form of ANOVA, which provides a so-called F- statistic.
  • 26. 26  The ANOVA approach for QTL mapping has three important weaknesses.  First, we do not receive separate estimates of QTL location and QTL effect. QTL location is indicated only by looking at which markers give the greatest differences between genotype group averages, and the apparent QTL effect at a marker will be smaller than the true QTL effect as a result of recombination between the marker and the QTL.  Second, we must discard individuals whose genotypes are missing at the marker.  Third, when the markers are widely spaced, the QTL may be quite far from all markers, and so the power for QTL detection will decrease.
  • 27. 27 Interval mapping  Lander and Botstein developed interval mapping, which overcomes the three disadvantages of analysis of variance at marker loci.  Interval mapping is currently the most popular approach for QTL mapping in experimental crosses  The method makes use of a genetic map of the typed markers, and, like analysis of variance, assumes the presence of a single QTL. Each location in the genome is positioned, one at a time, as the location of the putative QTL.
  • 28. 28 Composite interval mapping  In this method, one performs interval mapping using a subset of marker loci as covariates. These markers serve as proxies for other QTLs to increase the resolution of interval mapping, by accounting for linked QTLs and reducing the residual variation  The key problem with CIM concerns the choice of suitable marker loci to serve as covariates; once these have been chosen, CIM turns the model selection problem into a single-dimensional scan.  Not surprisingly, the appropriate markers are those closest to the true QTLs, and so if one could find these, the QTL mapping problem would be complete anyway
  • 29. 29 Multiple QTL methods  Methods that consider multiple QTLs simultaneously have three advantages: – Greater power to detect QTLs – Greater ability to separate linked QTLs – The ability to estimate interactions between QTLs  These more complex methods may facilitate the identification of additional QTLs and assist in elucidating the complex genetic architecture underlying many quantitative traits  Model selection is the principal problem in multiple QTL methods; the chief concern is the formation of appropriate criteria for comparing models
  • 30. 30  The simplest multiple QTL method, multiple regression, should be used more widely, although, like analysis of variance, it suffers in the presence of appreciable missing marker genotype data.  A forward selection procedure using interval mapping is appropriate in cases of QTLs that act additively, and makes proper allowance for missing genotype data.  MIM is an improved method, that, although computationally intensive, can, in principle, map multiple QTLs and identify interactions between QTLs.