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Journal of Virology, September 2003, p. 9906-9911, Vol. 77, No. 18
0022-538X/03/$08.00+0 DOI: 10.1128/JVI.77.18.9906-9911.2003
Copyright © 2003, American Society for Microbiology. All Rights Reserved.
Estimation of Population Bottlenecks during Systemic Movement of Tobacco Mosaic Virus in Tobacco Plants
Soledad Sacristán,1 José M. Malpica,2 Aurora Fraile,1 and Fernando García-Arenal1*
Departamento de Biotecnología, E.T.S. Ingenieros Agrónomos, Universidad Politécnica de Madrid,1
Departamento de Biotecnología, Instituto Nacional de Investigación Agraria y Alimentaria, 28040 Madrid, Spain2
Received 20 March 2003/
Accepted 20 June 2003

ABSTRACT
More often than not, analyses of virus evolution have considered
that virus populations are so large that evolution can be explained
by purely deterministic models. However, virus populations could
have much smaller effective numbers than the huge reported census
numbers, and random genetic drift could be important in virus
evolution. A reason for this would be population bottlenecks
during the virus life cycle. Here we report a quantitative estimate
of population bottlenecks during the systemic colonization of
tobacco leaves by
Tobacco mosaic virus (TMV). Our analysis is
based on the experimental estimation of the frequency of different
genotypes of TMV in the inoculated leaf, and in systemically
infected leaves, of tobacco plants coinoculated with two TMV
genotypes. A simple model, based on the probability that a leaf
in coinoculated plants is infected by just one genotype and
on the frequency of each genotype in the source, was used to
estimate the effective number of founders for the populations
in each leaf. Results from the analysis of three leaves per
plant in plants inoculated with different combinations of three
TMV genotypes yielded highly consistent estimates. Founder numbers
for each leaf were small, in the order of units. This would
result in effective population numbers much smaller than the
census numbers and indicates that random effects due to genetic
drift should be considered for understanding virus evolution
within an infected plant.

INTRODUCTION
Changes in the genetic structure of virus populations often
lead to the failure of measures to control virus-caused diseases,
and this has been a major reason for the study of virus evolution.
For the last 20 years a considerable amount of research has
been published on the evolution of many viruses that are important
pathogens of humans, animals, and plants or that are used as
experimental systems, and much effort has been done to understand
the factors that drive virus evolution (for reviews, see references
7 and
14). Because virus fecundity and the number of virus particles
in the infected host can be very high, it is often assumed that
viruses have large populations (see, for example, reference
5), and purely deterministic models have been mostly used to
explain virus evolution (cf. reference
6). As a consequence,
selection is often invoked as the main force in virus evolution,
and random genetic drift is seldom considered at all (see reference
13). Drift depends on the effective size of the population (i.e.,
the number of individuals that pass their genes to the next
generation) and not on the census size (i.e., the total number
of individuals in the population). Knowledge of the effective
population number,
Ne, is fundamental in understanding population
structure and evolution because at small values of
Ne random
processes will predominate over deterministic ones (
2). However,
reliable estimates of
Ne from natural populations are notoriously
difficult to obtain (
10) and, to our knowledge, have not been
reported for any virus.
Viral populations are fragmented in demes in different organs within a host, in different host individuals, in different host populations, etc., and population bottlenecks could occur when initiating a new deme. A major cause of population differentiation could be genetic drift as a result of population bottlenecks during (i) colonization of new organs within a host, (ii) host-to-host transmission within a population, or (iii) migration to new host populations. Bottlenecks severely reduce Ne, even though census population size may recover to the former sizes. For plant viruses it has been shown that a small number of particles is involved in mechanical or vector mediated infection of a new host (12, 26). Because the number of transmission events will be related to the census size of the vector population and to the fraction of susceptible hosts infected, it has been speculated that the effective number of the viral population will be on the order of magnitude of the census number for the plant host or insect vector population (17, 24). Population bottlenecks during the colonization of different organs within an infected host individual would also result in differentiation of the within host population. Hence, the effective population number of a virus population might be much smaller than the census, and genetic drift could be important in virus evolution. This has been recognized recently: interest in understanding the evolution of human immunodeficiency virus type 1 in patients receiving antiviral therapy has led to several analyses of the virus effective population size within a patient. Most estimates indicate that the effective number can be several orders of magnitude smaller than the census (19, 25, 28, 30), with one cause being the compartmentation of the virus population in different organs (11).
For plant viruses, it is often assumed that systemic movement through the vascular system, which is necessary for the infection of new organs, results in population bottlenecks. Indeed, analyses of the genetic structure of within-plant virus populations shows population differentiation between different organs (15). However, to our knowledge, no quantitative analysis of the possible bottlenecks during organ colonization has been published for plant viruses. We present here such an analysis based on the experimental estimation of the frequency of different genotypes of Tobacco mosaic virus (TMV) in the inoculated leaf and on the upper systemically infected leaves, colonized after viral movement, of coinfected tobacco plants. The data show that severe population bottlenecks occur during systemic colonization of new organs, which should result in effective population numbers orders of magnitude smaller than the total or census population size.

MATERIALS AND METHODS
Virus genotypes and inoculations.
Three genotypes of TMV were used in this work: TMV wild type
(wt) and two coat protein mutants. Mutant P20L has the transition
C5656U, resulting in the amino acid replacement P

L at position
20 of the coat protein. Mutant 20/72 is a double mutant that,
in addition to mutation C5656U, had the transversion A5932U,
resulting in the amino acid replacement Y

F at position 72. These
mutants were derived from biologically active cDNA clones that
have been described elsewhere (
3,
4) and were the gift of W.
O. Dawson and J. N. Culver. Infectious RNA was transcribed from
these clones with T7 (for wt) or with SP6 (for the two mutants)
RNA polymerases as described previously (
3,
4) and inoculated
into tobacco cv. Samsun plants in 0.1 M Na
2HPO
4. Virus particles
were purified from plants infected with RNA transcripts as described
previously (
1). Virus suspensions in 10 mM sodium phosphate
buffer (pH 7.2) were used for further inoculations. Plants were
kept in a greenhouse at 20 to 25°C.
Analysis of virus accumulation in infected tobacco plants.
Virus accumulation was quantified as viral RNA accumulation. Total RNA was extracted from 0.2 g (fresh weight) tobacco leaves at different times postinoculation (23) and resuspended in 100 µl of distilled water. RNA was quantified by dot blot hybridization with 5' 32P-labeled oligonucleotide probes specific for each TMV genotype and densitometry analysis of the hybridization signal, as described earlier (8, 9). In each blot, internal standards for each genotype were included as a twofold dilution series of purified RNA (2 to 0.015 µg) in nucleic acid extracts from noninoculated tobacco plants. Different amounts of nucleic acid extracts from each sample to be analyzed were blotted to ensure that the hybridization signal was in the linear portion of the curve RNA concentration-hybridization signal. The genotype-specific oligonucleotide probes used for these analyses were as follows: (i) for TMV wt, 5'-TCTATTGGGTCGGCC-3'; (ii) for mutant P20L in a single infection or in a mixed infection with the wt, 5'-TCTATTAGGTCGGCC3'; (iii) for mutant P20L in mixed infection with 20/72, 5'-CGCATTGTACCTGTA-3'; and (iv) for mutant 20/72, 5'-CGCATTGAACCTGTA-3'. (Nucleotides complementary to those mutated with respect to the wt sequence are underlined.) The hybridization temperatures were 43, 37, 35, and 38°C for the four probes, respectively. All hybridizations were done overnight in 6x SSC (1x SSC is 0.15 M NaCl plus 0.015 M sodium citrate), 5x Denhardt mixture, 0.1% sodium dodecyl sulfate, and yeast tRNA at 250 µg/ml. After exposure of the X-ray film, densitometry was done by using the 1.52 version of NIH Image package (W. Rasband, NIH Research Service Branch, NIMH, Bethesda, Md.) (20). Detection of virus accumulation with this system had a lower limit of 0.001 mg of viral RNA per g (fresh weight) of leaf.
Comparisons of virus infectivity and accumulation were done by using the nonparametric Wilcoxon signed rank test (33).

RESULTS
Colonization of tobacco plants by wt and mutant TMV in single and double infections.
To analyze the progress of infection in Samsun tobacco of three
TMV genotypes, plants were inoculated at the five-to-six leaf
stage by gently rubbing a suspension of virus particles on the
younger expanded leaf. The inoculum was 300 ng of virus particles
per half leaf. This inoculum dose was chosen on the basis of
single-lesion infectivity experiments in which it was shown
that the number of necrotic local lesions in Xanthi-nc tobacco
plants did not differ significantly for the three TMV genotypes
at 250 ng/half leaf (the mean values ± the standard errors
of four replicates were 201 ± 103, 162 ± 101,
and 174 ± 46 for wt, P20L, and 20/72, respectively;
P > 0.1 for all comparisons as determined by a Wilcoxon signed-rank
test) when it reached saturation. Hence, at 300 ng per half
leaf all three genotypes should be similarly infectious.
At 3 days postinoculation (dpi) no symptoms were detected in plants inoculated by any of the three TMV genotypes. Samples for analysis of virus accumulation were taken from the inoculated leaf (L0); from the second leaf above L0, which was starting to expand when plants were inoculated (L1); and from the third leaf above L0, which was starting expansion at 3 dpi (L2) (Fig. 1). Virus accumulation was estimated for each genotype separately by the quantitative dot blot hybridization analysis of virus RNA in nucleic acid extracts from leaves (Fig. 2). At 3 dpi, virus accumulation was detected only in L0 for all three genotypes. TMV-wt and P20L accumulated to similar levels (P > 0.1), whereas 20/72 accumulated to lower levels than wt and P20L (P < 0.05) (Fig. 1 and Table 1). Symptoms of TMV infection at 6 dpi were apparent in the basal portion of the leaf lamina in L1 and in the whole lamina of L2 and all younger leaves. Hence, L1 and L2 are the first and second leaves, respectively, to become systemically infected, and the leaf immediately above the inoculated one does not become infected. Analysis of TMV accumulation in systemically infected leaves indicated that all three genotypes had become systemic, but virus accumulation differed significantly for each of them (P
0.01), being highest for TMV wt and lowest for the double mutant 20/72 (Table 1).
Based on these results, double inoculations were carried out
by applying equal amounts (600 ng/leaf) of each TMV genotype
to the same leaf in the three combinations wt-P20L, wt-20/72,
and P20L-20/72. According to the infectivity assays described
above, at this inoculum dose the number of infection foci initiated
by each genotype should be similar, and the frequency of each
genotype in the infecting population should be ca. 0.5. It should
be noted that infection of a leaf after mechanical inoculation
is started at single epidermal cells from where virus infection
spreads to adjacent cells, giving rise to infection foci (
21,
22). In a hypersensitive host such as Xanthi-nc tobacco, these
infection foci are apparent as necrotic local lesions. Hence,
inoculations carried out at inoculum doses that result in a
similar number of necrotic local lesions result in a similar
number of infection foci; thus, in an initial frequency of each
genotype of ca. 0.5. As infection of the inoculated leaf progresses,
virus replication of the infected cells and movement of infection
to neighboring cells may be more efficient for the different
genotypes, resulting in higher virus accumulation, as is the
case for the wt compared to either mutant (Tables
1 and
2).
Inoculum doses in the double inoculations were twice those in
the single-inoculation experiments described above to ensure
saturation of the (finite) possible infection sites. Two hundred
Samsun plants were inoculated with each virus combination. Virus
accumulation was analyzed in L0, L1, and L2 at 6 dpi. Virus
accumulation was always less in L1 than in L0 and L2, a finding
in agreement with the partial infection of L1 observed in single
infections. TMV-wt accumulated to higher levels than either
of the mutants in all three leaves, and the single mutant P20L
accumulated to higher levels than the double mutant 20/72 (Table
2). These results show that selection occurred in each leaf
of doubly infected plants, with the wt being favored over the
mutants and the single mutant being favored over the double
mutant.
For all three genotype combinations, there was a fraction of
infected leaves in which only one of the two genotypes was detected
(Table
3).
View this table:
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TABLE 3. Frequency of leaves with single infections from Samsun tobacco plants inoculated with mixtures of different TMV genotypes
|
Estimation of the number of founders for populations in each infected leaf.
A simple model was developed to estimate, from the experiment
above, the effective size of the population that starts an infection
in a systemically infected leaf, i.e., the effective number
of founders
Nef. Note that in the effective size of the founder
population different factors related to the infection process
are taken into account, such as the number of infection events
and the number of virus particles involved in each infection
event. The model is based on the proportion of leaves infected
with only a single genotype when the plant was inoculated with
a combination of two genotypes. For each pair of genotypes A-B,
the probability that one leaf is infected only by genotype A,
P0B, given that the source leaf is infected by genotypes A and
B with frequencies
psA and
psB, is equal to the
Nef-th power
of the frequency of variant A in the source leaf,
psA
 | (1) |
Equation
1 expresses the probability that the
Nef virus particles infecting a leaf are all of genotype A when
drawn independently from a source in which genotype A has the
frequency
psA. Nef, the effective number of founders, can be
estimated from this expression by estimating
psA and
P0B experimentally.
We should point that Nef is not the effective population number in the leaf but the number of equally fit simultaneously infecting particles that explains the distribution of singly infected leaves in Table 3. Because genotypes were not equally fit but selection for one TMV genotype had occurred in each TMV combination in coinfected leaves (Table 2), the probability of no infection by the less-fit genotype can be overestimated. This is because in coinfected leaves the less-fit genotype can be lost by selection before observation. Hence, the effective founder number should lie between that in equation (1) and that in the symmetrical expression:
 | (2) |
where
P0A is the probability
that a leaf is infected only by genotype B.
Thus, considering A as the most frequent genotype, equations 1 and 2 provide upper and lower limits, respectively, for the estimated effective number of founders Nef.
The application of this procedure to estimate Nef from the experiment described above presents two difficulties. First, the inoculum source for the systemic infection of leaves L1 and L2 is not known a priori. However, because at 3dpi virus accumulation was only detected in leaf L0, whereas at 6 dpi virus accumulation was detected both in the basal portion of leaf L1 and in the whole of leaf L2 (Fig. 1 and Table 1), we assume that the contribution of L1 to the infection of L2 is negligible and that L0 is the source of inoculum for both L1 and L2. Second, the exact moment at which systemic movement from L0 to L1 and L2 occurs and how long it takes is not known; hence, the frequency of genotypes A and B in the source leaf at the moment of systemic movement is unknown. However, because systemic movement necessarily occurred between the inoculation time (time zero) and 6 dpi, the frequencies of genotypes A and B at the moment of systemic movement must be between the frequency at time zero (i.e., 0.5 for both) and that at 6 dpi. Therefore, the estimate of Nef should be between the estimates from these two extreme values of psA. In this reasoning we are assuming that genotype A is the most frequent genotype during this entire time period, which is a reasonable assumption supported by the data in Tables 1 and 2.
With these assumptions the effective number of founders for L1 and L2 was estimated from the data on the average frequency of each TMV genotype (Table 2) and on the frequency of leaves infected by only one genotype (Table 3) by using the model described above. Note that frequency data in Table 2 reflect the possibility that for individual leaves the frequency of one TMV genotype may be 1.0 (i.e., the leaf was infected only by that genotype) in spite of low virus accumulation. The estimated effective numbers of founders are shown in Table 4. The number of founders for the systemically infected leaves L1 and L2 are small, in the order of units. Note that the range of the estimates is small when either equation 1 or 2 is used and either of the psA values is estimated at time zero and at 6 dpi. As expected, this range increases for genotype combinations with stronger selection for one of the two genotypes (compare data for the pairs wt-P20L and wt-20/72). An important aspect to be stressed from the estimates in Table 4 is the similarity of the values obtained with the three pairs of genetic types, i.e., the consistency of the estimates.
The model presented above can also be applied to estimate the
effective number of founders in the inoculated leaf. In this
case, because inoculations were done under conditions in which
both TMV genotypes in each pair will initiate a similar number
of infection foci,
psA, in theory, will be 0.5. Table
4 shows
that estimates of effective numbers of founders were again small,
a result similar to those for systemically infected leaves and,
again, consistent for the three pairs of genetic types. For
inoculated leaves,
Nef can be compared to the census number
of the population that initiates the infection. We may reasonably
assume that the number of infection foci in the systemic host
tobacco cv. Samsun is similar to that in the local lesion host
tobacco cv. Xanthi-nc. Because at the inoculum dose used the
number of necrotic local lesions per leaf was 450 to 500 on
the average, this should be an estimate of the census size of
the founder population. Hence, data from the inoculated leaf
shows that the estimated effective number of founders is about
2 orders of magnitude smaller than the census size of the infecting
population.

DISCUSSION
Viruses are known to accumulate to very high numbers within
their infected hosts. However, effective numbers within an infected
host could be much smaller than the census. This has been analyzed
in recent years for human immunodeficiency virus type 1 and
most analyses, based on different models and assumptions, conclude
that effective numbers are small (
11,
19,
25,
30). A major reason
for this could be strong population differentiation within and
between infected organs (
11). Population differentiation within
the infected host could also result in small effective numbers
for within-host plant virus populations. Systemic movement of
virus infection through the vasculature is the key process in
the colonization of plants by viruses. The mechanisms and dynamics
of systemic movement are incompletely understood (
31), but systemic
movement has often been assumed to result in population bottlenecks
(cf. references
13 and
29), although evidence for this is scant.
It has been shown that in plant tissues infected with two similar
genotypes of one virus species, most cells become infected by
either one or the other genotype, which mutually exclude each
other (
15,
18). This results in within-tissue differentiation
of virus populations, i.e., spatial structuring of the within-plant
virus populations. The structure of virus populations within
infected plants has been described, to our knowledge, only for
Wheat streak mosaic virus (WSMV). In detailed analyses of the
distribution of two genetic types of WSMV within coinfected
wheat plants, Hall et al. (
15,
16) presented strong evidence
of genetic differentiation within leaves, as well as between
leaves and tillers. They concluded that exclusion of genetically
similar types within tissues and organs, and population bottlenecks
during the virus infection cycle, were causes of genetic differentiation.
Here we report a quantitative estimate of the founding number of the TMV population involved in the colonization of new tobacco leaves. Our estimates derive from an experimental design in which the frequencies of two genotypes of TMV were estimated in three infected leaves of tobacco plants inoculated with combinations of TMV genotypes. From these data, the effective number of founders, Nef, was derived by using a simple probabilistic model. Nef estimates are only upper and lower limits because selection acted on the TMV genotypes, causing frequencies to change from the time of inoculation until it can be estimated empirically. Therefore, the actual frequency of each genotype in the source leaf at the moment of systemic infection was unknown. However, the range of variation of the estimates was small, and data for the two different systemically infected leaves and for the three pairs of variants were highly consistent, strongly supporting the validity of these estimates. Our results are evidence of strong population bottlenecks during systemic movement of TMV in tobacco plants. Once each new leaf is infected, population expansion would have to be huge to reach the very high census numbers reported of ca. 107 to 109 (21, 22), and during this expansion selection for the genotype that accumulates faster would occur again. This model for population dynamics during plant colonization could possibly be extended to other viruses, as suggested by analyses of WSMV within wheat plants (15, 16).
Quantitative estimates of the number of founders for systemic infection of leaves by viruses have not been reported previously, and the major contribution of the present study is to show that they are in the order of units and not in the order of hundreds or thousands. The comparison of the estimated number of founders in the inoculated leaf with the actual observed number of viruses initiating an infection, i.e., initiating a necrotic local lesion in Xanthi-nc tobacco plants, indicates a difference of about 2 orders of magnitude. A similar difference could occur in systemically infected leaves, because it has been shown that systemic infection is initiated from numerous foci where virus is unloaded along the major veins of the sink leaves (27, 32).
The effective population number is a theoretical concept that indicates the size of an ideal population that will have the same genetic variance as the observed population. Our results show that the genetic variance between leaves of the TMV population within an infected plant is as if ca. 2 to 20 virus particles were simultaneously infecting each leaf. The fact that these numbers are small indicates that strong population bottlenecks occur during the systemic infection of new leaves, which will result in subdivision of the virus population within the infected plant. It has been shown, under diverse assumptions, that population subdivision leads to a decreased effective population size (reviewed in reference 34). Hence, our results indicate that virus evolution within an infected plant cannot be explained by purely deterministic models and that random effects due to genetic drift should be taken into account.

ACKNOWLEDGMENTS
We thank William O. Dawson and James K. Cluver for providing
cDNA clones of TMV wt and mutants. We also thank Michael M.
Milgroom for helpful discussions on an earlier version of the
manuscript. Antolín López Quirós and Fernanda
Afonso provided excellent technical assistance.
This work was in part supported by grant BIO99-1121-C02-02 from Ministerio de Educación y Cultura to F.G.-A. S.S. was supported by a fellowship from the programme Formación de Personal Investigador (AP98 03463406), Ministerio de Educación y Cultura (Spain).

FOOTNOTES
* Corresponding author. Mailing address: Departamento de Biotecnología, E.T.S. Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain. Phone: 34-91-336-5768. Fax: 34-91-336-5757. E-mail:
fga{at}bit.etsia.upm.es.


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Journal of Virology, September 2003, p. 9906-9911, Vol. 77, No. 18
0022-538X/03/$08.00+0 DOI: 10.1128/JVI.77.18.9906-9911.2003
Copyright © 2003, American Society for Microbiology. All Rights Reserved.
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