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Variation in Apical Hook Length Reflects the Intensity of Sperm Competition in Murine Rodents

  • Martin Šandera,

    Affiliation Biocev group, Department of Zoology, Faculty of Science, Charles University in Prague, Prague, Czech Republic

  • Tomáš Albrecht,

    Affiliations Biocev group, Department of Zoology, Faculty of Science, Charles University in Prague, Prague, Czech Republic, Institute of Vertebrate Biology, Academy of Sciences of the Czech Republic, Brno, Czech Republic

  • Pavel Stopka

    pstopka@natur.cuni.cz

    Affiliation Biocev group, Department of Zoology, Faculty of Science, Charles University in Prague, Prague, Czech Republic

Correction

23 Oct 2013: Šandera M, Albrecht T, Stopka P (2013) Correction: Variation in Apical Hook Length Reflects the Intensity of Sperm Competition in Murine Rodents. PLOS ONE 8(10): 10.1371/annotation/e9485d81-a44b-456d-abee-fb331c6ad5fb. https://doi.org/10.1371/annotation/e9485d81-a44b-456d-abee-fb331c6ad5fb View correction

Abstract

Background

Post-copulatory sexual selection has been shown to shape morphology of male gametes. Both directional and stabilizing selection on sperm phenotype have been documented in vertebrates in response to sexual promiscuity.

Methodology

Here we investigated the degree of variance in apical hook length and tail length in six taxa of murine rodents.

Conclusions

Tail sperm length and apical hook length were positively associated with relative testis mass, our proxy for levels of sperm competition, thus indicating directional post-copulatory selection on sperm phenotypes. Moreover, our study shows that increased levels of sperm competition lead to the reduction of variance in the hook length, indicating stabilizing selection. Hence, the higher risk of sperm competition affects increasing hook length together with decreasing variance in the hook length. Species-specific post-copulatory sexual selection likely optimizes sperm morphology.

Introduction

Sperm competition and other postcopulatory processes have been considered as important evolutionary selective forces [1], [2], [3]. Sperm competition is reflected by epigamic behaviour and morphology of animals [4], [5], [6], [7] and also by behaviour and morphology of sperm cells [8], [9], [10], [11], [12], [13], [14]. It has been shown that some sperm traits indicate the risk of sperm competition [9] and could be influenced by directional [11], [15] and/or stabilizing selection [11], [16].

Species with higher risk of sperm competition tend to have longer and faster sperm - e.g. [4], [17], [14]. However, phylogenetically controlled analysis of sperm variables across mammals and birds did not confirm a clear association between sperm competition and sperm length [18], [15]. On the other hand, sperm competition acts to reduce between-male and within-male variation in sperm length in various animal taxa, including birds [19], [12], [16] and hymenopterans [13], possibly through an increase in strength of post-copulatory selection on sperm traits [20], [11]. Sperm length variation has been found as a good indicator of extrapair paternity (i.e. the risk of sperm competition) in passerine birds [16] and is recently used as a proxy measure for sperm competition in comparative studies [21].

Sperm heads in many rodent species possess apical hooks [22], [23], [24], [25]. The apical hook is an important structure for linking sperm into aggregations (‘trains’), each consisting of hundreds of cells [10]. Sperm cooperation by forming trains has been presented as an advantageous strategy in sperm competition and is considered as a main adaptive mechanism in sperm competition in rodents [8], [9], [10]. It has been shown that species with higher risk of sperm competition have sperm with longer apical hooks [9] and the hooks are more flexible [26]. However, whether postcopulatory sexual selection decreases the variation in hook size and sperm cell size in rodents remains unclear.

This study aims at elucidating the influence of the risk of sperm competition as an evolutionary force of stabilizing selection on sperm morphology. In six rodent species (see Figure 1) we investigated whether the species with higher risk of sperm competition possess lower variance in sperm hook length and tail length in a phylogenetically controlled analysis. Since relative testis weight is a good indicator of promiscuity [9], [27], this measure also reflects the risk of sperm competition. We hypothesized that in more promiscuous species, due to a higher risk of sperm competition, the mean values of sperm traits (i.e. hook length, sperm tail length) are higher but the between male and within male variances of these characters are lower.

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Figure 1. Phylogeny of studied species.

The figure illustrates the phylogenetic relationships among the studied species [40], [41], [42].

https://doi.org/10.1371/journal.pone.0068427.g001

Results

Both measured sperm traits (i.e. hook length and tail length) differed significantly between the species (Anova, p<0.001; hook length F(5,46) = 56.01; tail length F(5,46) = 27.19). Coefficients of between and within-male variation (hook length: CVbm hook and CVwm hook, tail length: CVbm tail and CVwm tail) in sperm traits (Table S1) revealed low overall variance in the tail length. The most variable hook length was found in M. domesticus, the least variable in A. agrarius (in case of CVbm) and in A. sylvaticus (in case of CVwm). Sperm of M. musculus showed the largest variation in the tail length and the relative testis weight (i.e. our proxy measure for sperm competition) differed significantly between the species studied (Anova, F(5,46) = 88.684, p<0.001). The highest relative testis weights were observed in A. sylvaticus and followed by A. agrarius. The lowest testis weights were detected in M. musculus and by M. domesticus (Table S1).

The mean hook length, and both CVwm hook and CVbm hook, were strongly associated with sperm competition (Table 1A). Hook length increased and variation in this trait decreased with increasing sperm competition (see slopes and associated SE in Table 1A). Relative testis mass explained 88% variation in case of CVwm hook, 82% in case of CVbm hook and 94% variation in case of hook length (Table 1A, Figure 2).

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Figure 2. Relationships between relative testis weight and variation in sperm hook length in murine rodents.

A) Relationship between relative testis weight and within-male variation in sperm hook length. The figure illustrates the linear regression of the coefficient of within-male variation in apical hook length on the proportion of relative testis weight for six studied rodent species. B) Relationship between relative testis weight and between-male variation in sperm hook length. The figure illustrates the linear regression of the coefficient of within-male variation on the proportion of relative testis weight in apical hook length for six studied rodent species.

https://doi.org/10.1371/journal.pone.0068427.g002

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Table 1. Generalised linear least square tests of: a) the effect of the relative testis weight (proxy measure for post-copulatory sexual selection) on sperm length traits, b) the effect of hook length on its variation c) the effect of sperm tail length on its variation.

https://doi.org/10.1371/journal.pone.0068427.t001

Compared to sperm hook, the associations between sperm competition and sperm tail length were much weaker. Although testes mass explained as much as 53% variation in the tail length, this relationship was not significant (p = 0.061, Table 1b) and there was no association between sperm competition and CVbm tail and CVwm tail (Table 1a).

The hook length was negatively correlated with its variation (both CVwm hook and CVbm hook; Table 1b). This relationship was significant (CVwm hook p = 0.013 and CVbm hook p = 0.004; 82% and 90% variation explained, Table 1b). There was no significant relationship between the tail length and its variation (Table 1c).

Discussion

Our data confirmed previous findings that have demonstrated important role of post-copulatory sexual selection in evolution of apical hook length in murine rodents. Across murine rodents, species with higher risk of sperm competition possess longer apical hooks [9], [26], and this is well supported also in the 6 species selected in our study. In addition, we demonstrate that sperm competition also affects the between and within male variation in the hook length. In agreement with the idea of stabilizing post-copulatory sexual selection on sperm traits [20] we have documented that higher risk of sperm competition, as expressed by relative testis weight, leads to reduced variance in the hook length. The analysis has also shown that the variance in hook length is decreasing with the increasing hook length.

The idea that higher risk of sperm competition is associated with reduced variation in sperm length, which has been documented in passerine birds [19], [12], [16], [28] and insects [13], seems unsupported in rodents. In murine rodents it is probably the hook morphology that determines fertilization success of sperm cell (i.e. affecting ability of sperm cells to cooperate), while stabilizing selection for optimal sperm length might be less important than in organisms with specialized female sperm storing organs like birds and hymenopterans. However, it should be noted that although our analysis did not confirm the association between variance in the tail length and sperm competition, the variance in the tail length was low in the studied species generally. This may indicate that even in house mice sperm competition may to some extent play a role and has reduced the variance in the tail length. The house mice compared with the field mice possess smaller testes and about two to three times lower rate of multiple paternity [27], but the multiple paternity rates in M. domesticus, 23% [29] and 26% [30] suggest a certain degree of promiscuity in house mice. Although M. domesticus in our samples had slightly higher relative testes mass than M. musculus, the hook length variation indicates higher levels of sperm competition in M. musculus. Detailed information about multiple paternity levels is needed for both house mouse subspecies to confirm this finding.

The apical hook morphology should point to different sperm strategies in sperm cooperation [9]. Our results are consistent with the described sperm behaviour. Sperm in the wood mouse (Apodemus sylvaticus) form aggregations (trains) that move faster than separate sperm cells [9], [10], while in the house mouse the trains are slower than the particular spermatozoa [9]. The post-copulatory sexual selection seems to be stronger in field mice than in house mice [27], [29] and may penalize sperm cells bearing suboptimal hooks. Directional selection may thus act so that sperm have longer apical hooks while stabilizing selection reduces variation in the hook length. Field mice of the genus Apodemus produce sperm with longer and uniform hooks, so they form more effective trains. Contrary to that, sperm in house mice have shorter and variable hooks, so they form less effective trains.

Within field mice, A. agrarius and A. sylvaticus may be considered as species with high level of the risk of sperm competition and with high level of promiscuity. This fact was indicated by sperm with long apical hooks and the least variance in the hook length (Table S1). It is consistent with the data on relative testis size and multiple paternity rates [27]. Compared with previous two species, A. flavicollis and A. microps showed shorter hooks and higher variances (CVwm hook and CVbm hook) in the hook length. Surprisingly, the tails in A. flavicollis and A. microps were shorter than in house mice, on average, but the relative testis weight (Table S1) and the multiple paternity rates [31], [27], [29] indicated stronger effect of sperm competition in these field mice.

Different variations in hook length between field mice and house mice interestingly match with different rates of acrosomal reaction [32] and the related finding that the sperm in field mice do not express membrane cofactor protein CD46 [33], [34], [32]. Accelerated acrosome reaction of sperm in field mice allowing rapid fertilization proved to be advantageous in promiscuous species [32]. Sperm in field mice may then be protected against complement-mediated injury in female genital tract by other complement regulatory proteins, CD55 and CD59 [34].

The association between the relative testis weight and the tail length was quite strong, even though not significant (p = 0.06). This finding may partly support the hypothesis that species with higher risk of sperm competition have longer sperm [4], [17]. Although this hypothesis has been confirmed in some taxa (e.g., [14]), it was not confirmed by results of a comprehensive analysis across mammals [18]. The influence of sperm competition on tail length might be different in different groups of mammals. Data from passerine birds also suggest that the relationship between sperm competition and sperm length is not straightforward, with different directions of the relationship found in different passerine families [15].

We conclude that sperm competition in murine rodents affects mainly apical hooks and stabilizing selection causes reduced variance in the hook length in species with higher risk of sperm competition. Both coefficients of variation (CVwm and CVbm) hold a great potential for use in further studies on sperm competition in different animal groups, but traits important in post-copulatory sexual selection for particular taxonomical groups should be identified. Unlike in passerines and some insects [19], [12], [13], the variation in sperm tail length was not associated with sperm competition in murine rodents.

Methods

Ethical Standards

All animal procedures were carried out in strict accordance with the law of the Czech Republic paragraph 17 no. 246/1992, and Animal Scientific Procedures paragraph 11, no. 207/2004, and the local ethics committee of the Faculty of Science of Charles University in Prague specifically approved this study in accordance with accreditation no. 24773/2008-10001. Animals were sacrificed by cervical dislocation.

Mice

Fifty-two males of six species were used, four field mice species: herb field mouse Apodemus microps Kratochvíl et Rosický, 1952 ( = A. uralensis (Pallas, 1811), locality: Drnholec, Czech Republic), striped field mouse Apodemus agrarius (Pallas, 1771) (locality: Šebastovce, Slovakia), field mouse Apodemus sylvaticus (Linnaeus, 1758) (locality: Prague, Czech Republic), yellow-necked field mouse Apodemus flavicollis (Melchior, 1834) (locality: Drnholec, Czech Republic), two house mice species: eastern house mouse Mus musculus Linnaeus, 1758 (locality: Sedlečko, Czech Republic), western house mouse Mus domesticus Schwarz et Schwarz, 1943 (locality: Straas, Germany).

Age of individuals used in experiments was unknown because it is difficult to infer the age of rodents captured in the field. Although, sperm traits may potentially be affected by age in rodents [35] we only used fully-grown males in reproductive stage in this study with no obvious signs of senescence or immaturity (e.g. weight of individuals was close to the population mean). Mice were maintained in a pathogen-free facility for wild mice at the Department of Zoology, Faculty of Science, Charles University in Prague, Czech Republic.

Data Collection and Preparation

Sperm from cauda epididymis were studied. Sperm samples were obtained by placing the incised cauda epididymis into microtubes with PBS (pH 7.34) for 5 minutes at 37°C under 5% CO2. The sperm suspension was then placed onto clean microscopic slides and smeared. Smears were air-dried and then fixed in methanol (8 min at −18°C) and in acetone (6 min at −18°C). Sperm were evaluated under a light microscope (Olympus BX 51, 600×magnification).

Only morphologically normal sperm were measured as reported [36] – we carefully inspected sperm smears and avoided just few broken sperm cells and cells with missing hook from analyses. The sperm apical hook length and tail (flagellum) length were measured using analySIS (Soft Imaging System) software. The sperm dimensions were assessed by the measurement method described by [9]. Thirty spermatozoa were analysed from each male. In total, we analysed 1560 spermatozoa in 52 males. Males and testes were weighed and the relative testis weight calculated. All measurements were conducted by only one person (M.S.).

As a standardized measure of variation, we used the coefficient of variation (CV = SD/mean×100), denoted as CVbm for the between-male CV in mean length of sperm traits and CVwm for the mean within-male CV in length of sperm traits. As CV will be underestimated for small sample sizes, we corrected CVbm according to the formula: Adjusted CVbm = (1+1/4n)×CVbm [37]. Descriptive statistics of measured traits and their variation are given for each species in Table S1. We calculated and throughout the paper refer to coefficients of between and within-male variation in apical hook length (CVbm hook and CVwm hook) and sperm tail (CVbm tail and CVwm tail).

Statistical analyses: We applied a generalized least squares regression method in a phylogenetic framework [38], [39] with the phylogeny of species shown in Figure 1 [40], [41], [42] to evaluate the prediction that sperm traits reflect the strength of post-copulatory sexual selection in murine rodents. We used relative testis mass as our proxy for the strength of post-copulatory sexual selection in murine rodents. We have previously shown that the relative testis size is strongly associated with levels of multiple male mating in field mice (R2 = 0.836, slope = 20.05±4.96[SE] [27]. Constant branch lengths were assumed. We made univariate regressions for the three variables (total length, CVwm and CVbm) for both sperm traits (sperm apical hook and tail) and the proportion of relative testis weight. To improve normality, all CVs were log transformed and the proportions of relative testis weight arcsine-squareroot transformed. The slopes were tested against the prediction of 0 using the t-test. For each test, an index of phylogenetic dependence, λ, was estimated, with values ranging between 0 (phylogenetic independence) and 1 (complete phylogenetic dependence), and tested with a likelihood ratio test against models with λ values set at 0 and 1. The analyses were performed in R [43] using the package APE [44] and a script provided by R. P. Freckleton, Department of Animal and Plant Sciences, The University of Sheffield.

Supporting Information

Table S1.

Sperm hook length and tail length characteristics and relative testis weight in studied rodents.

https://doi.org/10.1371/journal.pone.0068427.s001

(DOCX)

Acknowledgments

We are grateful to Robert P. Freckleton for providing the R-script.

Author Contributions

Conceived and designed the experiments: MŠ PS TA. Performed the experiments: MŠ PS. Analyzed the data: MŠ TA. Wrote the paper: MŠ TA PS.

References

  1. 1. Parker GA, Birkhead TR (2013) Polyandry: the history of a revolution. Philosophical Transactions of the Royal Society B-Biological Sciences 368 (1613).
  2. 2. Birkhead TR (2010) How stupid not to have thought of that: post-copulatory sexual selection. Journal of Zoology 281(2): 78–93.
  3. 3. Montoto LG, Magaña C, Tourmente M, Martin-Coello J, Crespo C, et al. (2011) Sperm Competition, Sperm Numbers and Sperm Quality in Muroid Rodents. PloS ONE 6(3): e18173.
  4. 4. Breed WG, Taylor J (2000) Body mass, testes mass, and sperm size in murine rodents. Journal of Mammalogy 81(3): 758–768.
  5. 5. delBarco-Trillo J, Ferkin MH (2004) Male mammals respond to a risk of sperm competition conveyed by odours of conspecific males. Nature 431: 446–449.
  6. 6. Pitcher TE, Dunn PO, Whittingham LA (2005) Sperm competition and the evolution of testes size in birds. Journal of Evolutionary Biology18 (3): 557–567.
  7. 7. Lüpold S, Wistuba J, Damm OS, Rivers JW, Birkhead TR (2011) Sperm competition leads to functional adaptations in avian testes to maximize sperm quantity and quality. Reproduction 141(5): 595–605.
  8. 8. Fisher HS, Hoekstra HE (2010) Competition drives cooperation among closely related sperm of deer mice. Nature 463 (7282): 801–803.
  9. 9. Immler S, Moore HDM, Breed WG, Birkhead TR (2007) By Hook or by Crook? Morphometry, Competition and Cooperation in Rodent Sperm. PLoS ONE 2(1): e170.
  10. 10. Moore H, Dvořáková K, Jenkins N, Breed W (2002) Exceptional sperm cooperation in the wood mouse. Nature 418 (6894): 174–177.
  11. 11. Calhim S, Immler S, Birkhead TR (2007) Postcopulatory Sexual Selection Is Associated with Reduced Variation in Sperm Morphology. PLoS ONE 2(5): e413.
  12. 12. Kleven O, Laskemoen T, Fossøy F, Robertson RJ, Lifjeld JT (2008) Intraspecific variation in sperm length is negatively related to sperm competition in passerine birds. Evolution 62 (2): 494–499.
  13. 13. Fitzpatrick JL, Baer B (2011) Polyandry Reduces Sperm Length Variation In Social Insects. Evolution 65 (10): 3006–3012.
  14. 14. Fitzpatrick JL, Montgomerie R, Desjardins JK, Stiver KA, Kolm N, et al. (2009) Female promiscuity promotes the evolution of faster sperm in cichlid fishes. Proceedings of the National Academy of Sciences of The United States of America 106 (4): 1128–1132.
  15. 15. Immler S, Birkhead TR (2007) Sperm competition and sperm midpiece size: no consistent pattern in passerine birds. Proceedings of the Royal Society B-Biological Sciences 274 (1609): 561–568.
  16. 16. Lifjeld JT, Laskemoen T, Kleven O, Albrecht T, Robertson RJ (2010) Sperm length variation as a Predictor Extrapair Paternity in Passerine Birds. PLoS ONE 5(10): e13456.
  17. 17. Roldan ERS, Gomendio M, Vitullo AD (1992) The evolution of eutherian spermatozoa and underlying selective forces: female selection and sperm competition. Biological Reviews 67 (4): 551–593.
  18. 18. Gage MJG, Freckleton RP (2003) Relative testis size and sperm morphometry across mammals: no evidence for an association between sperm competition and sperm lenght. Proceedings of the Royal Society B-Biological Science 270 (1515): 625–632.
  19. 19. Immler S, Calhim S, Birkhead TR (2008) Increased postcopulatory sexual selection reduces the intramale variation in sperm design. Evolution 62 (6): 1538–1543.
  20. 20. Birkhead TR, Pellatt EJ, Brekke P, Yeates R, Castillo-Juarez H (2005) Genetic effects on sperm design in the zebra finch. Nature 434 (7031): 383–387.
  21. 21. Albrecht T, Kleven O, Kreisinger J, Laskemoen T, Omotoriogun TC, et al. (2013) Sperm competition in tropical versus temperate zone birds. Proceedings of the Royal Society B-Biological Sciences 280: 20122434.
  22. 22. Baskevich MI, Potapov SG, Okulova NM, Balakirev AE, Krapivko TP, et al. (2004) A comparative analysis of spermatozoa in six mouse species of the genus Apodemus (Rodentia, Muridae) from Eastern Europe and Transcaucasia (Russian; English abstract). Zoologichesky Zhurnal 83(6): 725–732.
  23. 23. Breed WG (2004) The Spermatozoon of Eurasian Murine Rodents: Its Morphological Diversity and Evolution. Journal of Morphology 261 (1): 52–69.
  24. 24. Breed WG (2005) Evolution of the Spermatozoon in Muroid Rodents. Journal of Morphology 265 (3): 271–290.
  25. 25. Šebek Z (1962) Neuere Artkriterien bei den Mäuseartigen (Fam. Muridae). In: Kratochvíl J. Symposium theriologicum Brno 1960 pp. 318–325.
  26. 26. Šandera M, Andrlíková P, Frolíková M, Stopka P (2011) Changes in the curvature of sperm apical hooks in murine rodents. Biologia 66(5): 916–921.
  27. 27. Bryja J, Patzenhauerová H, Albrecht T, Mosansky L, Stanko M, et al. (2008) Varying levels of female promiscuity in four Apodemus mice species. Behavioral Ecology and Sociobiology 63 (2): 251–260.
  28. 28. Laskemoen T, Albrecht T, Bonisoli-Alquati A, Cepak J, de Lope F, et al. (2013) Variation in sperm morphometry and sperm competition among barn swallow (Hirundo rustica) populations. Behavioral Ecology And Sociobiology 67 (2): 301–309.
  29. 29. Dean MD, Ardlie KG, Nachman MW (2006) The frequency of multiple paternity suggests that sperm competition is common in house mice (Mus domesticus). Molecular Ecology 15 (13): 4141–4151.
  30. 30. Firman RC, Simmons LW (2008) The frequency of multiple paternity predicts variation in testes size among island populations of house mice. Journal of Evolutionary Biology 21(6): 1524–1533.
  31. 31. Bryja J, Stopka P (2005) Facultative promiscuity in a presumably monogamous mouse Apodemus microps. Acta Theriologica 50(2): 189–196.
  32. 32. Johnson PM, Clift LE, Andrlikova P, Jursova M, Flanagan BF, et al. (2007) Rapid sperm acrosome reaction in the absence of acrosomal CD46expression in promiscuous field mice (Apodemus). Reproduction 134 (6): 739–747.
  33. 33. Clift LE, Andrlikova P, Frolikova M, Stopka P, Bryja J, et al. (2009a) Absence of spermatozoal CD46 protein expression and associated rapid acrosome reaction rate in striped field mice (Apodemus agrarius). Reproductive Biology and Endocrinology 7: 29.
  34. 34. Clift LE, Dvorakova-Hortova K, Frolikova M, Andrlikova P, Salman S, et al. (2009b) CD55 and CD59 protein expression by Apodemus (field mice) sperm in the absence of CD46. Journal of Reproductive Immunology 81 (1): 62–73.
  35. 35. Krzanowska H (1981) Sperm head abnormalities in relation to the age and strain of mice. The Journal of the Society for Reproduction and Fertility 62(2): 385–392.
  36. 36. Breed WG, Bauer M, Wade R, Thitipramote N, Suwajarat J, et al. (2007) Intra-individual variation in sperm tail length in murine rodents. Journal of Zoology 272(3): 299–304.
  37. 37. Sokal RR, Rohlf FJ (1981) Biometry. W. H. Freeman and co., San Francisco.
  38. 38. Freckleton RP, Harvey PH, Pagel M (2002) Phylogenetic analysis and comparative data: A test and review of evidence. American Naturalist 160 (6): 712–726.
  39. 39. Pagel M (1999) Inferring the historical patterns of biological evolution. Nature 401 (6756): 877–884.
  40. 40. Martin Y, Gerlach G, Schlötterer C, Meyer A (2000) Molecular Phylogeny of European Muroid Rodents Based on Complete Cytochrome b Sequences. Molecular Phylogenetics and Evolution 16(1): 37–47.
  41. 41. Michaux JR, Chevret P, Filippucci MG, Macholan M (2002) Phylogeny of the genus Apodemus with a special emphasis on the subgenus Sylvaemus using the nuclear IRBP gene and two mitochondrial markers: cytochrome b and 12S rRNA. Molecular Phylogenetics and Evolution 23 (2): 123–136.
  42. 42. Suzuki H, Filippucci MG, Chelomina GN, Sato JJ, Serizawa K, et al. (2008) A Biogeographic View of Apodemus in Asia and Europe Inferred From Nuclear and Mitochondrial Gene Sequences. Biochemical Genetics 46 (5–6): 329–346.
  43. 43. R Development Core Team (2010) R: a language and environment for statistical computing. R Foundation for statistical computing. Vienna, Austria http://www.R-project.org.
  44. 44. Paradis E, Claude J, Strimmer K (2004) APE: Analyses of phylogenetics and evolution in R language. Bioinformatics 20 (2): 289–290.