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Are imprinting and inbreeding two related phenomena?
C Biémont
To cite this version:
Forum
Are
imprinting
and
inbreeding
two
related
phenomena?
C Biémont
Université
Lyon
1Biométrie-Génétique
etBiologie
desPopulations,
URA 24369622 Villeurbanne
Cedex,
France(Received
20 June1990; accepted
7 November1990)
Summary - This article presents a molecular
theory
ofinbreeding
mechanismsinvolving
interactions between
regions
of the male and femalegenomic complement.
Thistheory
is based on the recent
developments
inimprinting
effects on male and female gametes,which are now
explained
in terms ofprotein-DNA
interactions which are manifested in someorganisms
in the form ofcytosine methylation.
Such interactions are illustrated inexamples
fromtransposable
elements, which alsoplay a key
role ingenetic
load. Thistheory
accounts for the effects observed inparticular mating
systems ofinbreeding
andmay be of interest for heterosis as well.
inbreeding
/
imprinting/
protein-DNA interaction/
transposable elementRésumé - L’inbreeding et l’imprinting ont-ils des mécanismes communs ? Cet article
présente
une théorie moléculaire des mécanismes de laconsanguinité
basée sur l’existence d’interactions entre des zonescomplémentaires
desgénomes
mâle etfemelle
du zygoteet de
l’embryon.
Cette théories’appuie
sur les récentesexplications
des mécanismes del’empreinte génétique
desgamètes
mâle etfemelle qui impliquent
des interactionsADN-protéines
dont l’une desmanifestations
serait laméthylation
descytosines;
ces interactionsjoueraient
un rôlefondamental
au cours dudéveloppement
desorganismes. L’importance
de telles interactions est illustrée par des
exemples pris
chez les élémentstransposables
dont le rôle comme agents mutateurs est actuellement indiscutable. Notre modèle rend
compte des
effets particuliers
dessystèmes
de croisements entreparents-enfants
etfrères-sceurs; il
est aussigénéralisable
auxeffets
et mécanismes de l’hétérosis. Ce modèle doit être considéré comme une tentative d’introduire engénétique
despopulations
nos connaissances actuelles sur la structure dugénome
et safluidité
ainsi que sur les processus moléculaires intervenant au cours dudéveloppement
desorganismes.
consanguinité
/
empreinte génétique/
interactions ADN-protéines/
éléments transposablesINTRODUCTION
The classical theories of
inbreeding
effects are based on an increase in thedegree
of
homozygosity
of the inbred individuals(Wright,
1921, 1922a,b; Mal6cot,
1948).
Inbreeding
depression
is thus the result ofsegregation
at overdominant loci or of theexpression
of recessive deleterious or lethal allelesusually
concealed in the genomenumber of
enzymatic paths
that control metabolism(Haldane, 1954),
and toperturb
the
system
of homeostaticregulations
of individuals(developmental homeostasis)
as well as of
populations
(genetic homeostasis)
which then becomeincapable
ofadapting
to modifications in the environment(Lerner, 1954).
Experiments
carried
out on the fruitfly Drosophila
and the BruchidaeAcan-thoscelides
obtectus,
in the firstgeneration
of various inbredmating
systems,
have shown however thatdepending
on themating
system
used,
fitnesscomponents
suchas egg
hatchability,
larvo-pupal
viability,
fecundity
(egg
production),
and someother traits measured in adult
flies,
are not altered in the same way(Bi6mont,
1972a,b, 1974a, 1976;
Bi6mont andBi6mont,
1973).
It wasfound,
forexample,
that
father-daughter
matings
lead to decreased larval andpupal viability
andfe-cundity
ofF
1
females,
whereas mother-sonmatings
decreasedembryonic
mortality.
Such results are notexplainable
globally by
classicalgenetic
theory
based onsim-ple
increasedhomozygosity
of deleterious recessive genes, even with the additionof
complex cytoplasmic
controls or maternal effects. Thepresent
paper is thus anattempt
topresent
evidenceregarding
recent discoveries onimprinting
effects andmechanisms to
explain
how maternal andpaternal
chromosome setsmight
be dif-ferentiated andmight
lead to the aboveinbreeding
effects.THE FACTS
It has been
theoretically
demonstrated that crosses between brothers andsisters,
fa-thers and
daughters,
and mothers and sons, lead to the same value of theinbreeding
coefficient for autosomal loci
(of 1/4).
Aninbreeding
depression
of identical extentshould then result in the inbred
offspring
of these crosses,although
aspostulated by
Franklin
(1977),
theparent-child
crosses should lead to lessinbreeding
depression
than brother-sister crosses.By working
onearly
and latedevelopment
inDrosophila
melanogaster,
we have shown that the above 3 kinds of crossesactually
give
differentpatterns
ofinbreeding depression
for characteristics such as egghatchability
(No
ofhatched
eggs/No
of fertilizedeggs),
larval andpupal viability
(No
ofF
2
adults/No
of hatchedeggs),
and adult eggproduction
(total
eggproduction
during
the lifetime of theF
2
adultflies,
maximum eggproduction,
longevity
of the inbredadult).
TablesI and II summarize the effects of the 3
mating
systems
on these traits. Note thattotal
viability,
which is what isusually
measured,
is theproduct
of the egghatch-ability
by
thelarvo-pupal viability
values. Tables I and IIclearly
show thatfather-daughter
crosses do not decrease egghatchability
(and
thus lead to a normalembry-onic
development),
butgreatly
increasemortality during
larval andpupal
stages
(table I)
and decrease eggproduction
characteristics of the adult inbred females(2
wayanalysis
of variance: F =4.5,
P < 0.05 for total eggproduction;
F =
8.4,
P = 0.008 for maximumdaily
egg
production).
Mother-son crosses in-crease theembryonic mortality
but haveonly
aslight
effect onlarvo-pupal
devel-opment
(table I)
and eggproduction
measurements(F
=5.3,
P < 0.05 for totalegg
production
while there was nostatistically significant
difference for maximumdaily
eggproduction,
F <1).
Sib crossesprovoke
ageneral negative
effect on allAn
interesting
result that is worthpointing
out is the observation that totalviability
is reduced in the same way in the 3 crosses, thusleading
to theapparently
similar
inbreeding
depression
in the 3mating
systems.
Becauseonly
totalviability
isusually
determined inexperiments
oninbreeding,
we have no other data onviability
components,
even in birds whereparent-child
crosses wereexperimentally analysed
(Bulmer, 1973),
and in which 2developmental
stages
sensitive toinbreeding
werereported
(Lucotte,
1975).
Newexperiments
oninbreeding
could then beperformed
in sea
urchins,
forexample,
in whichembryonic
development
processes are now wellknown,
and in vertebrates where manycomponents
ofviability
can beanalysed
andin which
development
cannot succeedsatisfactorily
without thepaternal
genome.THE INBREEDING MODEL
The above differential effects of
parent-child
crosses led us todistinguish
2phases
in the wayinbreeding
depression
takesplace;
aphase
in which the firststages
ofembryonic
development
areperturbed
and whichdepends
on presence of aF
l
spermatozoon;
and a secondphase
in whichlarvo-pupal viability
and somecharacteristics of the
F
2
offspring
areperturbed,
and whichdepends
on presence ofan
F
1
ovum.To
explain
the above results ofinbreeding,
wepostulated
that these 2phases
imply
the existence of interactions between the male and female chromosomalcomplements
in thezygote
andembryo
(Bi6mont
etal, 1974; Bi6mont,
1974b).
We then formulated the
hypothesis
that there exist on the male and femalesites in an active or inactive
state;
the inactive state needs information from the active state to become activated. What isimportant
in thishypothesis
is notonly
the number of active and inactivesites,
but the number ofinteractions, ie,
the number ofcouples
of active-inactivehomologous
sites. These interactions arepostulated
to be necessary forcomplete
embryonic development.
Moreover,
themodel
implies
that the maternal andpaternal complements
areasynchronously
activated so as to
explain
thedivergence
ininbreeding
depression
following
father-daughter
and mother-son crosses. Paternal factors are thuspostulated
to actfirst to activate the maternal
complement;
such interactions controlembryonic
development.
The maternalcomplement
acts second to activate thehomologous
zones on the
paternal
complement,
and these interactions are necessary for laterstages
ofdevelopment. Any perturbations
on either the first or the secondphase
lead to deleterious effects on either
embryonic development
or latedevelopment
and some adult characteristics
(Bi6mont
andBoul6treau-Merle, 1978;
Bi6mont andLemaitre,
1978).
It is
important
to note that normaldevelopment
involves the confrontation of 2gametic
zones withpatterns
ofactivated/inactivated
sitessufficiently
different so as to have many interactions between the 2gametic
zones. The result of thesegametes.
We can thus understand how inbredmatings
can lead to deleterious effectsthroughout development
as a result ofgamete
incompatibility.
Thesimilarity
of thehomologous
complements
between brothers and sisters makes many interactionsimpossible
(see
thefig
1);
deleterious effects for bothearly
and latedevelopment
result. In the
father-daughter
mating
system,
thepattern
ofactive/inactive
sites of the father is common to that of hisdaughter;
nevertheless,
thedaughter
complement
contains some
specific
active sites not seen in herfather;
theinteractions,
thuspossible,
account for the normal egghatchability
observed in such amating
system,
yet
provoke
aperturbation
in latedevelopment.
In the mother-son crosses, theinteractions involved are
opposite
to that of thefather-daughter
crosses;hence,
the
opposite
effects are observed in this mother-sonmating
system:
embryonic
development
isperturbed
while the laterdevelopmental
stages
are almost normal.As a result of the site
interactions,
the 2genomic complements
have similarpatterns
ofactivated/inactivated
sitesalong
thechromosome;
spontaneous
changes
thus a
complete
blocking
ofdevelopment.
Variation inintensity
of such a processaccounts for the differential responses to
inbreeding
oforganisms.
Note that in the years 1973-1974 no molecular
knowledge
was available to renderthe above
hypotheses
testable andacceptable by
the scientificcommunity. Indeed,
little was known on how the genes were activated and
regulated throughout
develop-ment,
andrepression
of geneexpression
by
non-histone chromosomalproteins
wasonly
mentioned(Spiegel
etal, 1970;
Asao,
1972;
Kostraba andWang,
1973;
Steinet
al,
1974).
Therecognition
of the existence of aphenomenon
termed&dquo;imprint-ing&dquo; by
Crouse(1960)
wasrequired
in order todistinguish
between maternal andpaternal
chromosomecomplements
in many processes such asspecific
chromosomalelimination and inactivation
by
heterochromatization in variousorganisms.
In1975,
Holliday
andPugh
(1975)
presented
theirtheory
ofimprinting
based onprotein-DNA interaction and
cytosine
methylation.
In thefollowing
sections,
I summarizeour current
knowledge
on this veryexciting phenomenon
ofimprinting
and discussits
importance
andpertinence
for the above model ofinbreeding
mechanisms.IMPRINTING
Heterochromatization and chromosome elimination in many
organisms
have in com-mon the selectivesilencing
by
inactivation or elimination ofspecific
chromosomes orparts
of chromosomes in the presence of unaffectedhomologs.
The sex chromosomes of
paternal
origin
are eliminated in ratlikebandicoots,
inactivated inkangaroos
while random inactivation occurs inplacental
mammals(Lyon,
1961; Sharman,
1971).
In thecoccids, Hemiptera,
the chromosomes ofpa-ternal
origin
are inactivated or eliminated. Forexample,
in lecanoids thepater-nally
derived chromosomal set becomes heterochromatic andfunctionally
inactive and remains so in most tissuesthroughout
development
(Brown
andNelson-Rees,
1961;
Brown andNur, 1964; Nur, 1967;
Brown andWiegmann,
1969; Kitchin, 1970;
Sabour,
1972; Berlowitz,
1974);
indiaspidids
the effectivehaploidization
of the maleis
accomplished by
elimination of thepaternal
chromosomal set. In the olive scaleinsect Parlatoria olea
(Kitchin,
1970)
the heterochromatic chromosomesdisappear
by
intranuclear destruction in theprimary
spermatocyte
shortly
before meiosis.Oogenesis
is normal in ,Sciara where the egg receives ahaploid
set of autosomesand one X chromosome
(Crouse
etal,
1971),
but inspermatogenesis
thepaternally
derived X chromosome and autosomes are discarded
(Crouse
etal, 1971;
Sager
andLane,
1972);
the male transmitsthrough
the spermonly
the chromosomes that he received from his mother. InChlamydomonas,
thechloroplast
genome from the male parent is not transmitted because itdisappears
soon afterzygote
formation(Sager,
1972;
Sager
andRamanis,
1974).
Hence,
aphenomenon
isrequired
todistinguish
between the maternal andpaternal
chromosomecomplements.
Crouse(1960)
has used the termimprinting
to describe the alteration which allows a
given
chromosome to bedistinguished
from itshomolog.
Preferentialexpression
of maternal orpaternal
genesthroughout
development
in somespecies
(Courtright,
1967; Dickinson, 1968;
Wright
etal, 1972;
According
to Surani and Barton(1984)
and Surani et al(1984),
genomic
imprinting
could confer on some elements of the genome ofreproductive
cells amemory of their
parental origin,
so that the chromosomes or certain genes aremarked
by
theirpath through
the father and the mother. The maternal andpaternal
genornes may &dquo;remember&dquo; this
parental origin
throughout
thedevelopment
and lifeof the individuals. The simultaneous presence of the 2 chromosomal
complements
marked
by
the father and the mother are necessary for theembryonic development
to be
complete
(Surani
andBarton, 1984;
Surani etal, 1984;
Modlinski,
1980).
From all these studies it appears that the
paternal
genome is moreimportant
fordevelopment
ofextra-embryonic
tissues while the maternalcomplement
is necessary forembryonic
development.
Brown and Chandra(1973)
proposed
for mammals theexistence of sensitive sites
subject
toimprinting,
which activatereceptor
sites,
whichin turn,
regulate
heterochromatization of the X chromosome.It has been shown in animals that for
particular
chromosomalregions
with maternalduplication/paternal
deficiency
and itsreciprocal,
anomalousphenotypes
depart
from normal inopposite
directions(Cattanach
andKirck,
1985).
Suchdeparture
suggests
a differentialfunctioning
of some gene loci within thisregion
andalso
suggests
the existence of a form of chromosomeimprinting
that affects geneactivity.
According
to theseauthors,
the male chromosomalregion
may thus havea
single
or earlieractivity
whileinactivity
or lateractivity
may be a characteristicof the
corresponding
femaleregion.
PROTEIN-DNA INTERACTIONS AND DNA METHYLATION
The mode of action of genes
during
development
of theorganism
from the eggto adult is very
poorly
understood,
and thechanges
in geneactivity
throughout
development
aregenerally
referred to asepigenetic
(Waddington, 1965).
It isusually
believed that
specific protein-DNA
interactions areresponsible
for suchepigenetic
changes
in geneactivity.
It has been shown that such
imprinting
is associated with DNAmethylation,
which is akey
element in the control mechanisms that govern gene function anddifferentiation
(Razin
andRiggs,
1980;
Kolata, 1985;
Reik etal, 1987;
Sapienza
et
al,
1987).
Ineukaryotic methylation,
certaincytosines
are converted to5-methylcytosine
which actsjust
like a new DNA base.Holliday
andPugh
(1975),
Riggs
(1975)
andHolliday
(1987)
haveproposed
thatmethylation
isheritable,
passed
on fromgeneration
togeneration
as cells divide(Kolata,
1985;
Reik etal,
1987; Sapienza
etal,
1987);
theirproposition
was further verified andsuggests
theexistence of
specific
factors(maintenance methylase) (Harrison
andKarrer,
1989)
capable
ofrecognizing
thehemimethylated
DNA formed afterreplication
and thatcan
methylate
the nascent DNA strands(Holliday
andPugh,
1975;
Riggs,
1975).
Holliday
(1987)
thenpostulated
that loss ofmethylation,
which can result fromDNA
damage,
leads to heritable abnormalities in geneexpression.
Suchepigenetic
defects in
germline
cells as a result of this loss ofmethylation
can berepaired by
recombination at
meiosis,
but some are transmitted tooffspring.
Defects that arenot
repaired
at meiosis will haveproperties
formally equivalent
tomutations,
sincethey
are heritable and can havespecific phenotypic
effects. Whenheterozygous,
an(Holliday,
1987);
the defects are thus &dquo;eliminated&dquo;by
meiosis. Withinbreeding,
however,
someepigenetic
defects will becomehomozygous
and willstay
in thisstate
throughout generations, depending
on theirprobability
ofbeing
removed asheterozygotes
at meiosis.Holliday
thusproposed
that such processes couldexplain
inbreeding
effects.According
toSager
and Kitchin(1975)
differential heterochromatization and chromosome elimination areregulated
by
modification of DNAby
enzymes, asis the case in bacterial
systems
(Luria
andHuman,
1952),
withspecificity
forparticular
recognition
sites. It ispostulated
that the modification enzymesprotect
therecognition
sitesby
DNAmethylation
from attackby
the endonucleases.Razin and
Riggs
(1980)
proposed
thatmethylation
could also lock nucleosomesinto
position
on theDNA,
the controlregions
of active genes not wound up inthese nucleosomes
being
fixedby
thismethylation
process until a new state ofdifferentiation is established. This agrees with the observation that nucleosome
positions
on the DNA varyaccording
to the state of differentiation of the cell. In such amodel, methylation
isonly
asecondary
controller of geneexpression,
theprimary
stage
being
assumedby
some kind of &dquo;determinator&dquo;proteins
(Razin
andRiggs,
1980).
It is
striking
that researchers have notyet
found the enzymes thatoriginally
add
methyl
groups to DNA in genes which are thenpermanently
turned offduring
development; only
&dquo;maintenance&dquo; enzymes(Harrison
andKarrer,
1989)
keeping
methyl
groups onduring
cell division are known. Note that the functional differencesbetween maternal and
paternal
nuclei were found to be retained after the activationof the
embryonic
genome at the 2-cellstage
(Surani
etal,
1986),
although
the somaticmethylation
pattern
has been found in 3-dembryos
ofchickens,
in clusters ofrepeated
DNA sequences(Sobieski
andEden,
1981).
Although
it now appears that DNAmethylation plays
animportant
role ingene
expression
during
development,
someorganisms
managequite
well withoutany extensive
methylation.
The mechanisms formarking expressed
genes in suchorganisms
are still unknown. Lower vertebrates ingeneral
have far lessmethylation
than mammals.
Twenty
percent
of the lower vertebrate DNA ismethylated
ascompared
to80%
in mammalianDNA,
and the DNA of the fruitfly
does notseem to be
methylated
at all(Bird,
1980,
1984).
It ispossible
that somespecific
protein-DNA
interactions,
which are associated inhigher organisms
with themethylation
pattern,
survive to transmit the memory, and that these interactions alone are sufficient to account forimprinting
inDrosophila
(Razin
andRiggs,
1980).
Such
DNA-protein
interactions have beensuggested
to be themselves heritable(Weintraub, 1985).
The lack ofmethylation
inDrosophila
may at firstsight
eliminate thisspecies
as a candidate forimprinting,
but remember thatpreferential
expression
of somepaternal
and maternal genes occursduring
development
inDrosophila
melanogaster
(Courtright,
1967; Dickinson, 1968;
Wright
etal, 1972;
Sayles
etal,
1973;
Shannon,
1973).
Moreover,
as notedabove,
the genomeimprinting
process was first discovered in various
invertebrates,
but themethylation
ofcytosine
THE TRANSPOSONS
Transposable
elements haverecently
been shown to be submitted to aregulation
system
involving methylation.
Because of their effects on genes and theirability
to induce chromosomal
rearrangements,
these elements are animportant
source ofgenetic
variability
(Syvanen, 1974)
and thusparticipate
in thegenetic
load(Mukai
andYukuhiro,
1983;
Bi6mont etal, 1985;
Yukuhiro etal, 1985;
Fitzpatrick
andSved, 1986; Mackay,
1986).
Transposition
rates areusually
found to be ,--10-
3
per
generation
(Pierce
andLucchesi,
1981;
Young
andSchwartz,
1981)
buthigher
rates of
transposition
can be obtained either in crosses between certain strainsof
Drosophila melanogaster
(Br6gliano
andKidwell,
1983)
or underparticular
conditions
(Gerasimova
etal, 1983;
Junakovic etal,
1986).
Although
in thelong
run an elevated mutation rate could be
advantageous
forpopulation
adaptation
(Bi6mont
etal, 1984;
Georgiev,
1984),
thepotentially
harmful effects ofhigh
rates oftransposition
may lead to selection for some mechanisms thatregulate
theactivity
of the
transposable
elements.The
controlling
element Ac(activator)
in Zea mags iscapable
oftransposition,
and a derivative that has lost
transposase
activity
has been shown to havemethylated cytosine
that is inheritedthrough
sexual crosses; this inactive elementcan revert to active Ac
by
loss ofmethylation
(Kunze
etal,
1988).
The activities of this maizetransposable
elementAc,
as well as,Spm
(En),
are thus correlated withhypomethylation
(Burr
andBurr,
1981;
Dellaporta
andChomet,
1985;
Chomet etal, 1987;
Fedoroff etal, 1988; Raboy
etal,
1988).
DNAmethylation
of the maizetransposable
element Ac interferes with itstranscription.
In the inactivephase,
the Ac DNA ishighly methylated
and no Actranscript
is detectable(Kunze
etal,
1988).
In the same way, the
majority
of Mu elements in the maize genome areunmethy-lated in active stocks and
methylated
in inactive stocks(Schwartz
andDennis, 1986;
Bennetzen,
1987;
Bennetzen etal,
1988).
Aninteresting
observation is thatinter-crossing
diverse mutator lines of maize leads to a discretehypermodification
of theMu elements with a loss of
mutagenic
andtranspositional potential
(Bennetzen
etal,
1987).
Modification of Mu elements may block theirability
to interact with aputative
transposase
as is the case with the IS 10 element inprokaryotes
which isregulated
by
adenosinemethylation
(Roberts
etal,
1985).
In
mice, methylation
concerns some but not allcopies
of the IAPrepetitive
sequences
(Nlays-Hoopes
etal,
1983).
In
the L1 elementfamily,
concertedhy-pomethylation
of sequences has been observed in mouseextraembryonic
cells andin transformed cell lines
(Tolberg
etal,
1987).
It is thusspeculated
that inL1,
methylation
may modulatetranscription
of some selected sites.Thus DNA
methylation
may be a mechanism forheritably controlling genetic
element
transposition.
Such modification may be one mechanismregulating
thepossible
deleteriousactivity
in the cell(Chandler
andWalbot,
1986).
Transposition
rate may also be under
genetic
control as in the switch inmating
type
ofyeasts,
which is
normally
confined to the mother celllineage
(Hicks
etal,
1977).
Whether mobile elements arereally
involved in animprinting phenomenon
is notyet
clear,
during
development,
and such elements have a differentialprobability
ofbeing
inactivated upon transmission
through
male or femalegametes
(Fedoroff, 1989).
A UNIFIED THEORY
It is still a matter of
speculation
as to whether the effects ofinbreeding
are duemainly
to loss of homeostaticcapacity
of the morehomozygous
individuals or tothe effects of recessive deleterious factors
present
in all wild chromosomes andexposed by
theincreasing homozygosity
of the genome. Theinbreeding
depression
thus results in a low
viability
due to numerous causes ofmortality
throughout
thedevelopment
of theorganism
(Lewontin, 1974);
viability
has thus beenpostulated
to be controlled
by
polygenes
with anextremely
high
spontaneous
mutation rate(Simmons
andCrow,
1977).
From the aboveconsiderations,
we now propose thatinbreeding
interfereswith,
or isstrongly
connected with mechanismscontrolling
embryonic
development.
Such aninbreeding
model does not of course eliminate theclassical
hypotheses
(Wright,
1921,
1922a,b; Mal6cot, 1948; Haldane, 1954; Lerner,
1954;
Dobzhansky
etal,
1963);
theinbreeding
depression reported
throughout
development
in manyorganisms surely
involves more than 1 mechanism.Inbreeding
andimprinting
have common bases:- the molecular
memory of
parental origins
of the maternal andpaternal genomic
complements,
- thenecessity
of the simultaneous presence of the chromosomalcomplements
markedby
the father and the mother for theembryonic development
to becomplete;
hence the existence of interactions between the 2 chromosomal sets,
- the occurrence of sensitive sites which activate
receptor
sites inimprinting,
orof interactions between activated and inactivated sites in
inbreeding,
-
a differential
activity
during development
of the male and femalecomplements,
- the
existence of some
spontanous
sitedeactivation,
or errors in the activation process,which
avoid acomplete blocking
ofdevelopment
from the firstgeneration
of
inbreeding
on. Note that this latter consideration agrees well with the ideas thatchanges
inprotein/DNA
interactionpattern
can lead to heritable abnormalities in geneexpression
(Holliday, 1987),
and that somespecific
interactions which surviveto transmit the memory can themselves be heritable
(Weintraub, 1985);
it is alsosupported by
the recent observation of the failure of thegermline
in mice toerase the
epigenetic
modifications at the TKZ751locus,
thusleading
to cumulative modifications of this locusthrough
successivegenerations
(Allen
etal,
1990).
Hence,
inbreeding
depression
viewed in terms of interactions between the 2parental
chromosomal sets as occurs inimprinting
is more aquantitative
thana
qualitative
modification of a processexisting normally
in non-inbredindi-viduals. The number of interactions
involved
indevelopment
ismerely
loweredby
inbreeding,
thusresulting
in ahigher
probability
for abnormaldevelopment.
Sucha
quantitative
effect agrees with the observation of an increased amount of histoneproteins
in inbred lines of rye(Kirk
andJones,
1974)
and adisappearance
of somebiochemical
components
inDrosophila
(Hoenigsberg
andCastiglioni,
1958;
King,
1969),
as could result ifinbreeding
is associated with an increasedrepression
ofAccording
to ourmodel,
the absence of interaction between 2 relatedgametic
chromosomal
complements
blocks the firststages
ofembryonic development.
Buta
population
submitted tostrong
inbreeding
such as brother-sistermatings
doesnot
disappear
in the firstgenerations
as could result due to null fitness. Even inthe
species
most sensitive toinbreeding
such asGallinacea,
3 inbredgenerations
are necessary for the
population
tocollapse
(Cole
andHalpin,
1916; Dunn,
1928).
Thus somespontaneous
changes
in thepattern
ofactivated/inactivated
sitesalong
the chromosomal sets are needed to
permit
some interactions withoutblocking
development entirely.
Suchchanges
in pattern couldhappen
as a result of errorin either the
methylation
process or theprotein-DNA
interactions involved in theimprinting
mechanism. Thesespontaneous
modifications and also the variation in the number of sitesinteracting
could beresponsible
for thedivergence
existing
between inbred individuals and among sublines.Indeed,
aproblem
in mousegenetics
is theunexpected
variation inhomozygous
inbred animals. For
example,
thefrequency
of variation of some skeletal structuresis far
higher
thanexpected
from classical mutation rates. Subline differentiation isa
continuing
process, thefrequency
ofchanges
per variantbeing
ashigh
as 0.01 pergeneration
(Hoi-Sen,
1972),
1000 times as common as the average mutation ratefor a number of genes in the mouse
(Schlager
andDickic,
1967).
Murphy
(1966),
moreover, described a
high
frequency
of tumors in 16major
inbred mousestocks,
as ifinbreeding
caused an increased rate oftumorigenesis.
Fitch and
Atchley
(1985)
supposed
that if a mutation process, such as conversion orswitching,
were to occur toexplain
sublinedivergence
inmice,
it would be ashigh
as10-
3
,
a rate similar to that observed inswitching
on and off lociresponsible
for
phase
variation in Salmonella. Such a rate of10-
3
isexactly
the average value oftransposition
rate found inDrosophila
fortransposable
elements(Pierce
andLucchesi,
1981;
Young
andSchwartz,
1981),
even inhighly
inbred lines maintainedby systematic
brother-sistermating
during *
108generations
(data
onmdg-1
andP
elements; unpublished
results).
Holliday
(1987)
has thuspostulated
that suchmorphological
variation is due to heritable modification ofgermline
DNA. Thereis,
however,
no evidence of ahigh
visible mutation rate in mouse inbred lines(Johnson
et
al,
1981).
It may thus be that the factorspromoting
linedivergence
do notalways
lead to emergence of visible and detectable
mutations,
as ifonly
someparticular
regions
of the chromosomes were concerned.Our
inbreeding
model fits the data on heterosis aswell,
with fitness valuesbeing
correlated with the number of
interacting
sites(Bi6mont,
1974b,
1980;
Biémontet
al,
1974).
The more the linesdiverge
thehigher
the number of interactionsresulting
from theircrossing:
ahigh
value of fitness of thehybrid
should result.Because many
interacting
sites areconcerned, crossing
sibs of suchhybrids
shouldlead to a
strong
inbreeding depression,
asexperimentally
observed(Falconer, 1981).
Such processes recall a heterosis model of
self-incompatibility
based onprezygotic
expression
ofgenetic
load mediatedthrough
pollen-style
interactions determinedby
thegenotype
of the 2parents
(Mulcahy
andMulcahy,
1983).
A mathematical
analysis
of the interactionsystem
has beendeveloped
with sibmatings
(Bi6mont,
1974b, 1980;
Bi6mont etal,
1974).
Thisprobabilistic approach
observations: a deleterious effect of
inbreeding
isusually
observed which can evenlead to line
extinction,
depending
on the values of the modelparameters.
It hasbeen observed that
inbreeding depression
generally
decreases withgenerations
and leads to stable lines(King,
1918;
Wright,
1922a,b;
Wright
andHeaton,
1922;
Hyde,
1924; Petit, 1963; Ootmersen, 1970;
Legay,
1971; Kosuda,
1972).
Thisasymptotic
value couldcorrespond
to the &dquo;inbred minimum&dquo;reported
by
King
(1918)
in certainspecies
of rodents. Beneficial or neutral effects can also be obtained with themodel,
as sometimes
experimentally
reported
(Castle
andCarpentier, 1906;
Rasmusson,
1951;
Lints,
1961).
Oneproblem
with our model is that itrequires
spontaneous
changes
in state(active/inactive)
with ahigher
rate than that usual for mutations. Thisproblem
now seems to be overcome since processes such astransposition
ofmobile elements have a rate in the order of
10-
3
or even more, and it appearsquite
reasonable that
change
inmethylation
pattern
may be modified with an elevatedrate,
at least under some conditions. Forexample,
Mu elements in maize maybecome modified after
self-pollination
(Chandler
andWalbot,
1986)
orinbreeding
of mutator stocks
(stocks
withhigh
rate of mutations and presence of active Mutransposons) (Bennetzen,
1987;
Bennetzen etal,
1988),
and such modifications arecorrelated with lack of
activity
(Chandler
etal,
1988).
CONCLUSION
It is clear that the kind of interactions between the 2 chromosomal
complements
isone of the numerous facts in genome
structuring
andfunctioning
thatpopulation
genetics
should take into account in the near future. Even so, as statedby
Lewontin
(1985),
the existence of suchphenomena
does not in itselfguarantee
theirimportance
topopulation
genetic considerations,
although
a recent mathematicalapproach
tends to demonstrate thepotential population
genetic
consequences ofmolecular
imprinting:
apparent
heterozygote deficiency
and a concurrenthybrid
vigor
(Chakraborty, 1989).
Theknowledge
of the fine structure of thesephenomena
may lead to the wish
that, by
changing
the environmental andphysiological
conditions, they
could be acted upon and their effects modified in some way;they
would then become of considerable
importance
forpopulation
genetics,
applied
quantitative genetics
andevolutionary biology.
ACKNOWLEDGMENTS
We thank C
Arnault,
PCaruso,
JRDavid,
CGauthier,
RGrantham,
A Heizmann, JMLegay
and D Pontier for their useful comments. This work wassupported by
the CentreNational de la Recherche
Scientifique
(URA 243),
the Association pour la Recherche surle
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