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Genetic Diversity and Population History of Golden Monkeys (Rhinopithecus roxellana)
Haipeng Lia,e, Shi-Jie Mengc, Zheng-Ming Mend, Yun-Xin Fue,b, and Ya-Ping Zhanga,ba Laboratory of Molecular Evolution and Genome Diversity, Kunming Institute of Zoology, Chinese Academy of Science, Kunming 650223, China,
b Laboratory for Conservation and Utilization of Bio-Resource, Yunnan University, Kunming 650991, China,
c Department of Biology, Northwest University, 710069 China,
d Department of Animals, Gansu Agricultural University, Lanzhou 730070, China
e Human Genetics Center, University of Texas, Houston, Texas 77030
Corresponding author: Ya-Ping Zhang, Kunming Institute of Zoology, Chinese Academy of Sciences, Kunming 650223, Peoples' Republic of China., zhangyp{at}public.km.yn.cn (E-mail)
Communicating editor: W. STEPHAN
| ABSTRACT |
|---|
Golden monkey (Rhinopithecus roxellana), namely the snub-nosed monkey, is a well-known endangered primate, which distributes only in the central part of mainland China. As an effort to understand the current genetic status as well as population history of this species, we collected a sample of 32 individuals from four different regions, which cover the major habitat of this species. Forty-four allozyme loci were surveyed in our study by allozyme electrophoresis, none of which was found to be polymorphic. The void of polymorphism compared with that of other nonhuman primates is surprising particularly considering that the current population size is many times larger than that of some other endangered species. Since many independent loci are surveyed in this study, the most plausible explanation for our observation is that the population has experienced a recent bottleneck. We used a coalescent approach to explore various scenarios of population bottleneck and concluded that the most recent bottleneck could have happened within the last 15,000 years. Moreover, the proposed simulation approach could be useful to researchers who need to analyze the non- or low-polymorphism data.
THE genus Rhinopithecus, which consists of four species, is found only in Asia. One member species, Rhinopithecus roxellana, is widely known as golden monkey or snub-nosed monkey for its shining golden coat and funny snub nose. Golden monkey is found only in the central part of mainland China (Fig 1) and because of its distinct appearance and rarity, the golden monkey is a national icon albeit less famous than the giant panda (Ailuropoda melanoleuca). Similar to the situation of giant panda, fragmented and deteriorating habitat has severely threatened the very existence of golden monkey. R. avunculus, another member species, distributes only in northern Vietnam; R. bieti and R. brelichi, the remaining two member species, are found in southwestern China. Current population census sizes of R. roxellana, R. bieti, R. brelichi, and R. avunculus are
10,00020,000, 10001500, 500600, and 100200, respectively (![]()
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|
Genetic diversity of a population conveys valuable information about the health status of the population as well as its demographic history. However, one common problem in genetic studies of endangered species is the scarcity of samples. After 2 years of sample collection, we were able to collect blood samples from 32 individuals. One of the purposes of this article is to report our genetic study of this sample as part of our continuous effort to understand the current genetic status as well as population history of this species. Prior studies based on fossil record and the high prevalence of dental agenesis have suggested that the golden monkey experienced a late Pleistocene bottleneck (![]()
The bottleneck effect, including the loss of genetic diversity due to the rapid loss of rare alleles; the increased additive genetic variance caused by dominance, epistasis, or both; and variances of evolutionary rates among lineages, has been investigated by many authors (e.g., ![]()
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| MATERIALS AND METHODS |
|---|
Blood samples of 32 R. roxellana were obtained from wild living individuals who originally came from four regions (Fig 1). Those regions cover the major habitat of this species. The collection method followed ![]()
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2, and TF loci in 9 individuals because their plasma was not available. Of the 9 individuals, 7 were from Minshan Mountain and 2 from Qinling Mountain. For the sake of quality control and comparison, we also collected 25 blood samples of rhesus macaques (Macaca mulatta) and conducted the same experimental analysis.
|
The genetic diversity is measured by two parameters, mean heterozygosity (H) and the percentage of polymorphic loci. We note that
, where h is the heterozygosity at one locus and pi is the frequency of the ith allele. Then H is the mean value of h over all surveyed loci (![]()
Coalescent theory and simulation is the main approach we used to analyze the data, and it is most convenient to discuss them together with results of the experiment.
| RESULTS AND ANALYSIS |
|---|
In this study, the sample consisted of 32 individuals, most of whom were surveyed over 44 loci. We failed to get a numerically large sample because sample collection for an endangered wild primate is extremely difficult. Meanwhile, the samples could fail to represent the genuine genetic diversity of whole species when all of them come from one social group or single regional population. So we made our best effort to cover the major habitat of R. roxellana during the collection of samples.
To our surprise, none of these loci was polymorphic in the sample. Since many of the same loci were found polymorphic in our controls, samples of rhesus macaques (H. LI, unpublished results), we are confident of the accuracy of our experiment. Therefore, the mean heterozygosity and the percentage of polymorphic loci are zero. This value indicates that R. roxellana has a rather invariant gene pool, similar to the giant panda (A. melanoleuca; ![]()
![]()
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![]()
![]()
1020 times that of R. bieti (![]()
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|
One could construct a complex scenario, by combining several different types of selection to explain R. roxellana's genetic purity, for example, the background selection and the selective sweep at linked loci (![]()
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Given the fact that there is no variation in all of the 44 loci and that the current census size of the species is relatively large (
15,000), a bottleneck appears to be the most plausible cause of the observation. Since a prior study also indicated the existence of a bottleneck, we focus on and investigate issues related to a bottleneck. We use a coalescent approach to investigate the effects of various bottleneck scenarios on the likelihood of the data. The coalescent approach is highly efficient for simulating population samples and has been widely used for analyzing DNA polymorphism (see ![]()
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![]()
![]()
We consider a two-phase model of exponential growth. The first phase assumes that the population size is constant, and the second phase assumes that the size change is exponential. Let N0 be the effective population size for the first phase, and then the effective population size for the second phase is
![]() |
(1) |
where
is the growth rate and Nt is the effective population size at time t since the start of exponential growth. Assume that a sample is taken at time T, NT is then the effective population size at the time of sampling. The coalescent theory for simulating coalescent time under exponential growth was developed by ![]()
= 4NTµ, where µ is the mutation rate per locus per generation, and T is scaled so that one unit represents 4NT generations (![]()
We are interested in the probability of observing the pattern of polymorphism in our data under various demographic histories; that is, the likelihood of our data given the values of parameters. Let Pi be the probability of no variation at locus i in a sample of 32 individuals (64 chromosomes), and assume that loci are independent (or in linkage equilibrium); then the likelihood of our data is
![]() |
(2) |
The key to our analysis is to obtain the likelihood L, which requires evaluation of Pi. Analytically, Pi can be expressed as
![]() |
(3) |
where p(k) is the probability of history k (a genealogy of the sample) and
i = 4NTµi, µi is the mutation rate of the ith locus, and lk is the total length of the genealogy of 64 sequences for the locus (Fig 3). The summation in the above equation is taken over all possible histories of 64 chromosomes. Under the assumption of constant effective population size, Pi can be computed analytically. Since most scenarios we considered are with varying population size, we choose to compute Pi by estimation. We use coalescent simulation to generate a large number of samples for estimating the value of L. This analysis allows us to answer quantitatively a number of questions on the history of the population. Pi can be estimated from simulated samples as follows. Suppose M is the number of histories simulated. Then Pi can be estimated as
![]() |
(4) |
|
The accuracy of such estimate can be controlled by the replicate number M. Then the total likelihood can be estimated by
![]() |
(5) |
Since loci are assumed to be independent,
i can be estimated separately. One advantage of this approach is that sample sizes for different loci can be different. We checked the estimation against analytical values in the case of constant population size and found that they agreed well, since not every individual was typed at all loci due to incomplete plasma samples, which resulted in slightly different sample sizes over loci. The approach can easily handle such a situation.
Mutation rates usually vary among loci (![]()
![]()
![]()
follows the gamma distribution
![]() |
(6) |
where
is the shape parameter of the gamma distribution equal to [E(
)]2/Var(
), ß =
/E(
), and E(
) is the expectation of
. ![]()
varies from 0.2 to 3.5; therefore,
= 2.0 is used in the simulations in addition to the model that assumes no rate variation among loci.
The coalescent simulation shows that the likelihood L will be at least 5% only when
(= 4NTµ) is not >0.015 under the constant population size and no rate variation among loci. Moreover, the same conclusion for
is found when E(
) = 00.015 under the constant population size and when the rate varies among loci according to the gamma distribution (Fig 4). The overall range of likelihood values is very similar between models with or without rate variation (Fig 4). That is, the likelihood value is much more sensitive to
than to
.
|
The range of NT could be estimated when mutation rate µ is known. ![]()
1630. This value is far smaller than the census size (
15,000). Considering the fact that this species must have had a larger population size sometime before being designated as an endangered species, 1630 as a recent effective population size is likely an underestimate, which suggests that the constant population model is not the most appropriate. Moreover, we can see that even when the rate is one-half of 2.3 x 10-6, the effective population size Nt is only 3260.
Alternatively, the observed genetic purity could be explained by a recent population bottleneck. Several methods for detecting the existence of a bottleneck have been proposed, which are based on the fluctuation of gene frequencies, the heterozygosity excess, the star-like gene tree, the mismatch distribution (![]()
![]()
![]()
![]()
![]()
The exponential growth model we consider here assumes an exponential growth after the bottleneck. Fig 5 plots the value of r, T, and E(
) with the likelihood equal to 0.05. It is obvious that the probability is highest when the population went through a severe bottleneck and then expanded rapidly because the likelihood value with a small r and small T is higher than the likelihood value with a large r and large T. This is because after the recent bottleneck, the population has not had enough time to accumulate enough variations, and even the population size increased to a large number. Note that the exponential growth model becomes the constant size model when the value of r(N0/NT) = 1. Therefore, it includes the latter as a special value. The trend could be seen in Fig 5. The value of E(
), the likelihood value of which is equal to 0.05, will be close to 0.015 when the value of r and T increases.
|
Since the current census size of golden monkey is
15,000, NT = 5000 is not unreasonable. Assume that the mutation rate is 2.3 x 10-6/locus/generation (![]()
= 0.046. With
= 0.046, the likelihood of observing the data is exceedingly small (<0.1%) under the constant population size model. Even assuming NT = 2,500, the probability is still <1%. In comparison, the likelihood is
12% when r = T = 0.05 (Table 2) under the exponential growth model. Therefore, the bottleneck hypothesis is more reasonable than the constant population size hypothesis, and the conclusion is not sensitive to rate variation among loci.
|
Table 2 gives the range of r and T that can result in at least a 5% probability of observing our data. We can see that when
= 0.046, r is between 0 and 0.2, and T between 0 and 0.15. Assume that the generation time of golden monkey is
5 years (its sex maturation time is 46 years). Then the bottleneck would likely have happened within the last 15,000 years during which the effective population size (N0) would not be >1000 and would likely be much smaller.
| DISCUSSION |
|---|
The previous studies suggested that a bottleneck might have happened to this species during the late Pleistocene (1.8 million to 11,000 years ago; ![]()
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The genetic diversity in natural populations is considered the raw material of evolution, and loss of genetic diversity might significantly decrease the ability of wild populations to survive climatic extremes (![]()
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| ACKNOWLEDGMENTS |
|---|
We are grateful to Oliver Ryder for his valuable comments on an earlier version of the article. We thank Bing Su, Wen Wang, Aihua Liu, Ruiqing Liu, Yongcheng Long, Bo Ding, Shikang Gou, Xiufan Shi, Jing Luo, Yuanchun Ding, Jingong Xiangyu, Xiangzhong Zheng, Yunwu Zhang, and Shiying Ling for their help. This work was supported by the Chinese Academy of Sciences (KSCX2-1-05), the State Key Basic Research and Development Plan of China (G2000046806), the National Nature Science Foundation of China, the Science Foundation of Yunnan Province in China, and National Institutes of Health grant R01 GM50426 (Yun-Xin Fu).
Manuscript received May 31, 2002; Accepted for publication January 27, 2003.
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