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Departamento de Ecología Evolutiva Instituto de Ecología, Universidad Autónoma de México, Apartado Postal 70-275, México D. F., 04510 México
Received for publication January 19, 1998. Accepted for publication September 16, 1998.
| ABSTRACT |
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Key Words: conservation gene flow genetic structure Pinaceae Pinus rzedowskii.
| INTRODUCTION |
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Here, we present a study on the levels of genetic variation in and patterns of genetic differentiation among populations of Pinus rzedowskii (Madrigal et Caballero), an endangered species from Michoacán, México. Our goal was to provide baseline information for this conservationally important and morphologically intriguing species (Madrigal and Deloya, 1969
; Delgado, 1997
). Pinus rzedowskii is represented by small populations, its distribution is extremely restricted and fragmented, and it is listed as an endangered species (Mexican government order, NOM-PA-CRN-001/93). Pinus rzedowskii exhibits traits representative of both subgenera Strobus and Pinus: dorsal umbo, winged seeds, and wood anatomy typical of hard pines; number and position of resin canals, resin secondary compound composition and wood composition typical of soft pines (Madrigal and Deloya, 1969
; Perry, 1991
). Finally, the small population sizes of this species and extremely restricted and fragmented geographic distributions offer an excellent opportunity to determine whether the quantity and distribution of genetic variation are related to population size and degree of isolation. We expected P. rzedowskii populations to show low levels of genetic variation and low population structuring. The results are surprising, however, in that P. rzedowskii is not genetically impoverished and shows a marked genetic structure. Furthermore, historical demography results strongly suggest that population densities of this endangered pine have been increasing steadily.
| MATERIALS AND METHODS |
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160 ha). These soils are poorly developed, with a subsoil layer that is more like a rock layer and an accumulation of materials such as clay, iron, and manganese. The topography is very rugged, with slopes from 85° to 90°. Vegetation types are wide ranging, with pine-oak, oak, subdeciduous, and deciduous tropical forest. However, most of the area is covered with pine-oak forest.
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Sample collection
Primary growth branches with developing buds were collected and kept in polyethylene sealed bags in ice. In the laboratory, a replicate from each individual was stored in a cold room at 4°C and another one was kept in an ultrafreezer at -70°C. Three hundred and ten individuals (6-200 yr old) were sampled (Table 2). Samples were obtained from nine populations (excluding DUR11, TEJ10, and TAB12; Table 1) clearly restricted to patches of limey soil. Due to the terrain's rugged topography, a single sampling strategy was unwarranted. Three kinds of sampling schemes were followed, according to local conditions: in most populations an altitudinal transect was made from the upper part of a slope towards the lower part of the distribution area. Population ALB5 (Table 1) was sampled at five points in the population's margins and one in the middle, as this population was more readily accesible. In sparser populations, such as CHI6 and SOL3, all individuals were sampled.
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Data analyses
All estimates were made based on nine polymorphic loci and five monomorphic ones. We obtained allele and genotypic frequencies, genetic identities, and distances following Nei (1975)
and fixation indices for each locus and population following Wright (1965)
.
Wright's F statistics as well as 99% confidence intervals of their mean values were obtained by bootstrapping over loci for the multilocus estimates and jackknifing over populations for the single-locus estimates (Weir and Cockerham, 1984
; Alvarez-Buylla et al., 1996a
). To find out whether FIS and FIT values for each locus were significantly different from 0, the statistic
2 = F (2N) (K-1) was obtained with K(K-1)/2 degrees of freedom and where N is the sample size (number of individuals) and K the number of alleles (Li and Horvitz, 1953
). To determine the significance of FST values per locus, the statistic
2 = (2N) FST(K-1), with (K-1)(s-1) degrees of freedom was used, where s is the number of subpopulations (Workman and Niswander, 1970
). Gene flow (Nm) estimation was made indirectly using the formula proposed by Crow and Aoki (1984)
. Mean Nm value was used to obtain indirect estimates of effective population size per neighborhood (Nb; Slatkin and Barton, 1989
). Isolation by distance was analyzed with the method proposed by Slatkin (1993)
based on an island population structure model. The statistic M = (1 / FST - 1/4) was used in which population pairs with restricted dispersal and in genetic equilibrium would show lower M ratios and where FST are estimates for each pair of populations (Slatkin, 1993
; Alvarez-Buylla and Garay, 1994
). The Mantel statistic with 1000 permutations was used to test for significance of the isolation by distance pattern (Rohlf, 1993
). To describe the genetic relationships among populations, dendograms (UPGMA [unweighted pair group method with arithmetic mean]; Sneath and Sokal, 1973
; neighbor-joining; Swofford and Olsen, 1990
) were obtained using the matrix of genetic distances. The reconstructed tree was used to describe the demographic status of the species as proposed by Moritz (1996)
for conservation studies. This method is easily applied if phylogenetic relations among populations can be established. It is based on the idea that expanding populations are expected to show a star-like phylogeny that would result in a parabolic relation between the genetic distance, as an estimate of time of divergence, and the logarithm of the number of lineages following the UPGMA analysis. On the contrary, stable populations would show a strongly structured phylogeny and would result in an exponential relationship.
| RESULTS |
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Two alleles were found for loci Apx-1, Cpx-1, Lap-1, Idh-2, and Gdh-2, four alleles for loci Apx-2, Est-2, and Sdh-2, and five alleles for locus Got-1. Allele frequencies were significantly different among populations using a multiple comparisons G test (Sokal and Rohlf, 1981
; data not shown). Twenty-eight out of 59 fixation indices were significantly different (P < 0.05; data not shown) from those expected under Hardy-Weinberg equilibrium. Twenty-four of these indices were positive. This indicates an excess of homozygotes for several loci in several populations.
All three of Wright's F statistics for polymorphic loci were positive and significantly (P < 0.01; Table 3) different from zero for all loci except FIS and FIT for locus Est-1.
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17% of the genetic variation is explained by differences among populations. All FST values were significantly different from zero. Therefore, many of the values obtained for FIT are due to differences among populations. FIT values ranged from 0.083 to 0.902, with a mean of 0.405 and a confidence interval between 0.256 and 0.816 (P < 0.05). Gene flow (Nm) estimates ranged from 0.14 to 3.48 (average = 1.5), which suggests that there is relatively little genetic exchange among P. rzedowskii populations. Effective neighborhood size (Nb; Slatkin and Barton, 1989
Genetic relatedness among populations and isolation by distance
Estimators of genetic identity were heterogeneous (Table 4). The largest genetic identity was 0.986, between populations AGU9 and PIN8, and the smallest was 0.870, between populations ALB5 and SOL3. No specific pattern was found to match the distances separating the populations. This was confirmed using both Slatkin's (1993)
method in which no significant relationship was found between a logarithmic estimate of gene flow and geographic distance among populations (data not shown) and the Mantel test on data from Table 4 (
= 0.11, P = 0.460). This suggests that the populations' structure appears not to be due to differences in gene flow produced by an isolation by distance model.
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| DISCUSSION |
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Pinus rzedowskii has significant levels of genetic differentiation among populations, with 17.5% of the total variation due to differences among populations. The mean FST value for P. rzedowskii is higher than that found in most studied conifers, most of which are wide-ranging species (Table 5). However, the FST values found for P. rzedowskii are within the range of values reported for species with discontinuous distributions and large populations. For instance, P. cembra has an FST value of 0.32 (Szmidt, 1982
), P. nigra has a value of 0.135 (Nicolié and Tucié, 1983
), and P. torreyana has a value of 1.0 with different alleles fixed in each one of its two populations (Ledig and Conkle, 1983
). Bermejo (1993)
and Mathenson, Bell, and Barnes (1989)
also found relatively high FST values in P. engelmanii, P. oocarpa, and P. caribea (0.13, 0.1, and 0.13, respectively). This could be related to the species' distributions on rugged mountain ranges (Perry, 1991
) where topography could act as a natural barrier to gene flow.
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Higher FST values can result from reduced population sizes and gene flow (Wright, 1965
; Slatkin, 1993
). The mean gene flow per generation (1.5) estimated for P. rzedowskii is lower than that reported for other species of conifers (Table 5). This indicates that there is little genetic exchange among populations, although there may be enough to prevent complete isolation among them. Gene flow as estimated by Nm and neighborhood size (Nb) are directly related. For P. rzedowskii, Nb estimates are 9.0 individuals per population but these estimations were made indirectly and are therefore preliminary. Data on cone production (less than a cone per reproductive tree per year) and seedling recruitment (less than one per tree per year; Delgado, 1997
) support the idea that only a few individuals reproduce, yielding low effective population size.
Genetic relations and isolation by distance
The isolation by distance analysis does not show any significant pattern, suggesting that the distribution of genetic variation may not be explained by the geographic distances separating the populations (data not shown). The analysis of genetic relationships among populations shows this clearly. The six populations with the highest population sizes (VPI1, FRE4, ALB5, CHI6, PIN8, and AGU9; average, 1069 individuals; Table 1) and the highest levels of genetic variation (average polymorphism = 51% and average expected heterozygosity = 0.24; Table 2) formed one group. The rest of the populations form a second group and include the ones with the smallest population sizes (average = 90 individuals) and the least genetic variation (average polymorphism = 38% and average expected heterozygosity = 0.18). The two populations found at the north end of the distribution (CHI6 and SOL3) belong to different groups. The grouping by population size suggests that genetic drift may be the main evolutionary force acting on the distribution of genetic variation in this species.
In addition to soil characteristics of the sites where P. rzedowskii populations are established (limey soils) and the species' life history (slow growing, long lived), its reproductive behavior seems to play a role in explaining its patterns of genetic variation. Probably, gene flow rates are more likely to be affected by microgeographic features (such as the limey soil and the rugged topography) that isolate populations to different extents. Also, P. rzedowskii shows reproductive asynchrony. During four consecutive years (1992-1995) only modest cone production has been observed (a maximum of 15 cones per tree) and only a few individuals have reproduced at all (21 out of 300). There is no evidence of a large annual seed production during the last 6 yr (Delgado, 1997
). Reproductive asynchrony has probably increased genetic differentiation because genetic exchange is occurring only among a few reproductive individuals within populations. This enhances local inbreeding. The observed heterozygote deficit suggests significant inbreeding levels, which, together with reduced population sizes and microgeographic isolation, might underlie the observed genetic structure.
Two historical scenarios may account for our results. The first one involves the populations' distribution as being the result of dispersal from a central population. Differentiation levels would therefore be a function of gene flow levels, number of founders, and the time since the founder event. The second scenario involves a single ancestral panmictic population that became fragmented into several patches because of geological events during the Pleistocene (Millar, 1998
). Here, genetic differentiation would depend on gene flow levels, population sizes, and the degree of geographical isolation. It is difficult to discern which scenario actually took place.
Conservation implications
The information available warrants two management and conservation strategies. The first one would consist of an in situ conservation plan that would define core areas completely free from perturbation, at least for the genetically most diverse populations (namely VPI1, FRE4, ALB5, CHI6, PIN8, and AGU9). This would guarantee the maintenance of most of the species' genetic variation, including uncommon and unique alleles. The latter is the case of alleles found in CHI6 (the only one having Got-1, allele 5), PVA2, and AGU9. Nevertheless, high FST values suggest that all populations are important for conservation because they are differentiated. Conservation plans for tree species should also consider demographic traits of populations such as population size and recruitment rate (Alvarez-Buylla et al., 1996b
). In that respect, we present a simple analysis (Fig. 3) to get an insight about P. rzedowskii historical demography (Moritz, 1996
). It is based on the idea that expanding populations are expected to show a star-like phylogeny that would result in a parabolic relation between the genetic distance, as an estimate of time of divergence, and the logarithm of the number of populations following the UPGMA analysis. On the contrary, stable populations would show a strongly structured phylogeny and would result in an exponential relationship. Our results show that since the curve is parabolic, P. rzedowskii populations have increased historically. These results also agree with our genetic data and highlight the importance of maintaining demographically viable populations since recent man produced habitat fragmentation has not yet affected this endangered species. This has probably been due to its longevity (
200 yr) that would produce a time lag before the effects of habitat transformation change both the demography and the genetic structure. Low recruitment has been observed by us in all populations and thus it appears as the most critical aspect for an in situ conservation strategy. Enforcement of methods to guarantee the survival of seedlings seems the most appropriate way to assure the viability of these populations.
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| FOOTNOTES |
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