Biodiversity Data Journal : Taxonomic paper
Print
Taxonomic paper

Chromosome studies in the aquatic monocots of Myanmar: A brief review with additional records

expand article infoYu Ito, Nobuyuki Tanaka
† University of Canterbury, Christchurch, New Zealand
‡ Kochi Prefectural Makino Botanical Garden, Kochi, Japan
Open Access

Abstract

Myanmar (Burma) constitutes a significant component of the Indo-Myanmar biodiversity hotspot, with elements of the Indian, the Indochina, and the Sino-Japanese floristic regions, yet thus far only a few reliable sources of the country's flora have been available. As a part of a contribution for the floristic inventory of Myanmar, since it is important in a floristic survey to obtain as much information as possible, in addition to previous two reports, here we present three more chromosome counts in the aquatic monocots of Myanmar: Limnocharis flava with 2n = 20, Sagittaria trifolia with 2n = 22 (Alismataceae), and Potamogeton distinctus × P. nodosus with 2n = 52 (Potamogetonaceae); the third one is new to science. A brief review of cytological researches in the floristic regions' 45 non-hybrid aquatic monocots plus well investigated two inter-specific hybrids that are recorded in Myanmar is given, indicating that the further works with a focus on species in Myanmar that has infra-specific chromosome variation in the floristic regions will address the precise evolutionary history of the aquatic flora of Myanmar.

Keywords

Aquatic plants, chromosome counts, Limnocharis, Myanmar, Potamogeton, Sagittaria

Introduction

With its wealth of plant diversity, Myanmar (Burma) constitutes a significant component of the Indo-Myanmar biodiversity hotspot with elements of the India, the Indochina, and the Sino-Japanese floristic regions (ca, 13,500 vascular plants: Van Dijk et al. 2004; Tanaka 2010). Yet, while neighboring countries’ floristic diversity has been exposed through international projects, such as Flora of China, Flore du Cambodge, du Laos et du Vietnam, and Flora of Thailand, thus far no reliable sources of Myanmar’s flora have been published except a checklist of spermatophytes contributed by Kress et al. (2003). In order to revise the flora of Myanmar, a decade-long continuous inventory has been conducted by Japanese botanists (Tanaka 2005), which thus far partly contributed a local checklist (Mt. Popa: Tanaka et al. 2006) and a taxon-specific checklist (aquatic plants: Ito and Barfod 2014).

The aim of floristic research is not only to count the total number of species but also to evaluate the native flora’s evolutionary origins by comparing with related floristic regions. From this aspect, it is useful to obtain as much information as possible, e.g., chromosome data (Sanders et al. 1983). This is especially important for floristic surveys for aquatic plants, in which infra- or inter-specific chromosome variation is widely known (Les and Philbrick 1993). The proportion of species for which the chromosome number is known is less than 1% in some little-collected tropical areas (Stace 2000), probably including the southeast Asian country of Myanmar.

Aquatic plants, which is polyphyletically evolved in fern and fern allies, basal angiosperms, monocots, and eudicots, is known as having numerous chromosomal variation, thus an excellent model for this aim. Here, in addition to the previous contributions of chromosome counts for new or noteworthy aquatic plants from Myanmar (Najas tenuis: Ito et al. 2014b; Nechamandra alternifolia: Ito et al. 2009), we present three more chromosome counts for the aquatic monocots of Myanmar: Limnocharis flava (Alismataceae), Sagittaria trifolia (Alismataceae), and Potamogeton distinctus × P. nodosus (Potamogetonaceae). A brief review of cytological researches in 45 non-hybrid aquatic monocots plus two well-investigated inter-specific Potamogeton hybrids in Myanmar is also given with a broad focus on those distributed in neighboring areas, i.e., the Indian, the Indochina, and the Sino-Japanese floristic regions.

Materials and methods

Chromosome observation

Plant materials of Limnocharis flava (Alismataceae), Sagittaria trifolia (Alismataceae), Najas tenuis (Hydrocharitaceae), Nechamandra alternifolia (Hydrocharitaceae), and Potamogeton distinctus × P. nodosus (Potamogetonaceae) were collected in the expeditions to Myanmar (Bago Division and Shan State) in 2008. The collections were rigorously identified based on morphological characters using the original protologues as well as a previous taxonomic treatment by Cook (1996). Potamogeton distinctus × P. nodosus (Potamogetonaceae) was identified by DNA barcoding method (Ito et al. 2014a). The first set of the voucher specimens was retained in Forest Department Office, Ministry of Environmental Conservation and Forestry, Union of Myanmar (RAF); the duplicates are deposited in two Japanese herbaria: Makino Botanical Garden (MBK) and the University of Tokyo (TI).

Root tips collected in the field were pretreated with 0.002 M 8-hydroxyquinoline at 4 °C in 12 h, and fixed with freshly mixed Carnoy’s fixative (3: 1 ethyl alcohol: acetic acid) for at least 30 min, and then preserved at 4 °C in 12 h. For microscopic observation, root tips were soaked in 1 N HCl for 1 h followed by 10 min at 60 °C. After being immersed in tap water, the materials were stained in a drop of 1.5% orcein acetate solution on a slide glass in 5 min., and then squashed. Then somatic chromosome numbers of the three taxa were obtained by light microscopic examination. For each species, at least two cells were used to confirm the numbers.

Distribution for each species follows Ito and Barfod (2014).

Literature review

Chromosome researches for aquatic monocots of Myanmar were reviewed with a broad focus on Myanmar and related floristic regions, i.e., the Indian, the Indochina, and the Sino-Japanes floristic regions. The focal species include 45 non-hybrid aquatic monocots listed in Ito and Barfod (2014), Ito et al. (2014a) as well as well-investigated two inter-specific Potamogeton hybrids (Ito et al. 2014a). Initial literature search was carried out with Fedorov (1969) as well as Index to Plant Chromosome Numbers (Missouri Botanical Garden, http://mobot.mobot.org/W3T/Search/ipcn.html), followed by extensive literature review with original references. For some species, mostly cosmopolitan ones, only a few representative literature references are given for each chromosome number. Since a comprehensive cytological review was given for aquatic plants (Les and Philbrick 1993), including almost all the taxa listed in the present study, our literature review focused on literature published in 1993 or later. Due to incapability of original references, some rare chromosome counts are not included; those references are mostly published in 1970 or earlier, and written not in English. No detailed references are given for Potamogetonaceae and Ruppia because an exhaustive cytological review was published by Kaplan et al. (2013), Talavera et al. (1993).

Chromosome counts for the aquatic monocots of Myanmar

Order Alismatales

Family Alismataceae

Genus Limnocharis Bonpl., 1808

Limnocharis flava (L.) Buchenau, 1868

  1. country: Myanmar; stateProvince: Bago; municipality: Pyat Township; locality: along the roadside, paddy field, ca. 30 km east of Pyat; verbatimLatitude: 18°49'44"N; verbatimLongitude: 95°18'06"E; eventDate: 7 Dec 2008; recordedBy: Y. Ito; collectionID: N. Tanaka & al. 080776; institutionCode: MBK, RAF, TI
Distribution:

Native to Americas; naturalized to tropical Asia.

Notes:

Chromosome counts: 2n = 20 (Fig. 1; obtained in this study).

Figure 1.

Somatic chromosome of Limnocharis flava. Bar indicates 5 μm.

Genus Sagittaria L., 1753

Sagittaria trifolia L., 1753

  1. country: Myanmar; stateProvince: Shan; verbatimLocality: Pindaya; verbatimLatitude: 20°59'57"N; verbatimLongitude: 96°39'59"E; eventDate: 1 Dec 2008; recordedBy: Y. Ito; collectionID: N. Tanaka & al. 080623
Distribution:

Bangladesh, Bhutan, China (nationwide), India (nationwide), Indonesia (Borneo, Java, Sulawesi), Japan, Malaysia (Peninsular), Myanmar, Nepal, Pakistan, Philippines, Thailand; Oceania.

Notes:

Chromosome counts: 2n = 22 (Fig. 2; obtained in this study).

Figure 2.

Somatic chromosome of Sagittaria trifolia. Bar indicates 5 μm.

Family Hydrocharitaceae

Genus Najas L., 1753

Najas tenuis Magnus, 1870

  1. country: Myanmar; stateProvince: Shan; verbatimLocality: Inlay Lake, Nyaung Shwe Township; verbatimLatitude: 20°32'02"N; verbatimLongitude: 96°53'53"E; eventDate: 3 Dec 2008; recordedBy: Y. Ito; collectionID: N. Tanaka & al. 080642; institutionCode: MBK, RAF, TI
Distribution:

India (Central, Southern), Myanmar, Sri Lanka.

Notes:

Chromosome counts: 2n = 24 (Fig. 3; After Ito et al. 2014b; reproduced with publisher's permission).

Figure 3.

Somatic chromosome of Najas tenuis. Bar indicates 5 μm.

Genus Nechamandra Planch., 1849

Nechamandra alternifolia (Roxb.) Thwaites, 1864

  1. country: Myanmar; stateProvince: Shan; verbatimLocality: Near Yae Aye Kan Dam, Yae Aye Kan, Kalaw Township; verbatimLatitude: 20°35'37"N; verbatimLongitude: 96°31'46"E; eventDate: 26 Nov 2008; recordedBy: Y. Ito; collectionID: N. Tanaka & al. 080058; institutionCode: MBK, RAF, TI
Distribution:

Bangladesh, China (Southern), India (Eastern, Northern, Southern), Myanmar, Nepal, Sri Lanka, Thailand, Vietnam; Yemen, and Sudan.

Notes:

Chromosome counts: 2n = 16 (Fig. 4; After Ito et al. 2009; reproduced with publisher's permission).

Figure 4.

Somatic chromosome of Nechamandra alternifolia. Bar indicates 5 μm.

Family Potamogetonaceae

Genus Potamogeton L., 1753

Potamogeton distinctus A. Benn. × P. nodosus Poir.

  1. country: Myanmar; stateProvince: Shan; verbatimLocality: Inle Lake; verbatimLatitude: 20°27'28"N; verbatimLongitude: 96°50'37"E; eventDate: 4 Dec 2008; recordedBy: Y. Ito; collectionID: N. Tanaka & al. 080662; institutionCode: MBK, RAF, TI
Notes:

Chromosome counts: 2n = 52 (Fig. 5; obtained in this study). The chromosome count for this taxon is new to science.

Figure 5.

Somatic chromosome of Potamogeton distinctus × P. nodosus. Bar indicates 2.5 μm.

Analysis

The chromosome counts given for 45 non-hybrid species of aquatic monocots of Myanmar as well as well-investigated two Potamogeton hybrids among them were reviewed with a focus on infra-specific chromosome variation (Table 1). The cited literature references also include chromosome counts obtained from related floristic regions, i.e., the Indian, the Indochina, and the Sino-Japanese floristic regions. For widespread species, cytological information from other regions is cited.

The chromosome counts given for 45 non-hybrid species of aquatic monocots of Myanmar as well as well-investigated two Potamogeton hybrids among them. Those recorded from neighboring regions are also provided. The species that have no chromosome counts anywhere in the world are shown with n/a. For some species, mostly cosmopolitan ones, only a few representative literature references are given for each chromosome number. Note that due to incapability of original references, some rare chromosome counts are not included in this table: 2n = 18, 42, 48 for Acorus calamus; 2n = 18, 22 for Acorus gramineus (Acoraceae), 2n = 28 for Pistia stratiotes var. cuneata Engl.; 2n = 28 for Pistia stratiotes var. spathulata (Michx.) Engl.; 2n = 20, 50, 60, 80 for Lemna aequinoctialis; 2n = 44 for Lemna trisulca; 2n = 30, 50 for Spirodela polyrrhiza (Araceae); n = 14 (2n = 28), 2n = 10, 12 for Alisma plantago-aquatica; 2n = 22 for Caldesia parnassifolia; 2n = 26, 39 for Limnocharis flava; 2n = 22 for Sagittaria trifolia var. longiloba (Turr.) Mak.; 2n = 22 for Sagittaria trifolia var. sinensis Sims; 2n = 22 for Sagittaria trifolia var. edulis (Sieb.) Ohwi (Alismataceae); 2n = 24 for Blyxa aubertii; 2n = 60 for Najas marina; 2n = 12+1B for Najas marina var. intermedia (Gorski) A. Braun; 2n = 22, 52, 72, 88, 132 for Ottelia alismoides; 2n = 16, 22, 28, 33 for Vallisneria spiralis (Hydrocharitaceae); 2n = 64 for Eichhornia crassipes; 2n = 26, n = 40 (2n = 80) for Monochoria vaginalis (Pontederiaceae); 2n = 60 for Typha angustifolia (Typhaceae). Also refer to previous cytological reviews (aquatic plants: Les and Philbrick 1993; Potamogetonaceae: Kaplan et al. 2013; Ruppia: Talavera et al. 1993).

Order Family Species Chromo-some number Floristic region
Indian Myanmar Indo-china Sino-Japanese Others
Acorales Acoraceae Acorus calamus L. 2n = 24 Subramanian and Munian (1988) Chepinoga et al. (2008)
Acorales Acoraceae Acorus calamus L. 2n = 35 Krahulcová (2003)
Acorales Acoraceae Acorus calamus L. 2n = 36 Packer and Ringius (1984)
Acorales Acoraceae Acorus calamus L. 2n = 44 Wang et al. (2001)
Acorales Acoraceae Acorus calamus L. 2n = 45 Ramachandran (1978)
Acorales Acoraceae Acorus calamus L. 2n = 66 Wang et al. (2001)
Acorales Acoraceae Acorus gramineus Sol. ex Aiton 2n = 24 Wang et al. (2001)
Acorales Araceae Cryptocoryne crispatula Engl. 2n = 36 Arends et al. (1982)
Acorales Araceae Cryptocoryne crispatula Engl. 2n = 54 Jacobsen (1977)
Acorales Araceae Cryptocoryne cruddasiana Prain n/a
Acorales Araceae Pistia stratiotes L. 2n = 28 Ramachandran (1978), Subramanian and Munian (1988)
Acorales Araceae Landoltia punctata (G. Mey.) Les & D.J. Crawford n/a
Acorales Araceae Lemna aequinoctialis Welw. 2n = 40 Urbanska-Worytkiewicz (1975) (L. perpusilla Torr.) Beppu et al. (1985)
Acorales Araceae Lemna trisulca L. 2n = 20 Urbanska-Worytkiewicz (1975)
Acorales Araceae Lemna trisulca L. 2n = 40 Urbanska-Worytkiewicz (1975)
Acorales Araceae Lemna trisulca L. 2n = 60 Urbanska-Worytkiewicz (1975); Löve and Löve (1981)
Acorales Araceae Lemna trisulca L. 2n = 80 Urbanska-Worytkiewicz (1975)
Acorales Araceae Spirodela polyrrhiza (L.) Schleid. 2n = 40 Löve and Löve (1981), Al-Bermani et al. (1993)
Acorales Araceae Spirodela polyrrhiza (L.) Schleid. 2n = 42 Chepinoga et al. (2008)
Acorales Araceae Spirodela polyrrhiza (L.) Schleid. 2n = 80 Geber and Schweizer (1988)
Acorales Araceae Wolffia globosa (Roxb.) Hartog &Plas n/a
Alismatales Alismataceae Alisma plantago-aquatica L. 2n = 14 Mehra and Pandita (1984) Wang et al. (1987); Uchiyama (1989) (var. orientale Samuel)
Alismatales Alismataceae Caldesia parnassifolia (Bassi ex L.) Parl. n/a
Alismatales Alismataceae Limnocharis flava (L.) Buchenau 2n = 20 This study Uchiyama (1989) Davidse (1981), Forni-Martins and Calligaris (2002)
Alismatales Alismataceae Sagittaria trifolia L. 2n = 22 This study Uchiyama (1989); (var. edulis (Sieb.) Ohwi)
Alismatales Hydrocharitaceae Blyxa aubertii Rich. 2n = 40 Uchiyama (1989)
Alismatales Hydrocharitaceae Blyxa echinosperma (C.B. Clarke) Hook. f. 2n = 42 Wang (1986)
Alismatales Hydrocharitaceae Blyxa echinosperma (C.B. Clarke) Hook. f. 2n = 74 Uchiyama (1989)
Alismatales Hydrocharitaceae Blyxa japonica (Miq.) Maxim. ex Asch. & Gürke 2n = 42 Harada (1956)
Alismatales Hydrocharitaceae Blyxa japonica (Miq.) Maxim. ex Asch. & Gürke 2n = 72 Uchiyama (1989)
Alismatales Hydrocharitaceae Egeria densa (Planch.) Casp. 2n = 46 Uchiyama (1989), Nakata and Nagai (1998)
Alismatales Hydrocharitaceae Egeria densa (Planch.) Casp. 2n = 48 Löve and Löve (1961)
Alismatales Hydrocharitaceae Elodea nuttallii (Planch.) H. St. John 2n = 48 Simpson (1986)
Alismatales Hydrocharitaceae Hydrilla verticillata (L. f.) Royle 2n = 16 Chaudhuri and Sharma (1978), Pandita and Mehra (1984) Wang (1986), Uchiyama (1989), Langeland et al. (1992) Langeland et al. (1992)
Alismatales Hydrocharitaceae Hydrilla verticillata (L. f.) Royle 2n = 24 Chaudhuri and Sharma (1978) Langeland et al. (1992), Nakata and Nagai (1998) Langeland et al. (1992)
Alismatales Hydrocharitaceae Hydrilla verticillata (L. f.) Royle 2n = 32 Langeland et al. (1992) Langeland et al. (1992)
Alismatales Hydrocharitaceae Hydrocharis dubia (Blume) Backer 2n = 16 Pandita and Mehra (1984) Uchiyama (1989)
Alismatales Hydrocharitaceae Najas graminea Delile 2n = 12 You et al. (1991)
Alismatales Hydrocharitaceae Najas graminea Delile 2n = 24 Wang (1985), Uchiyama (1989)
Alismatales Hydrocharitaceae Najas graminea Delile 2n = 36 Uchiyama (1989)
Alismatales Hydrocharitaceae Najas indica (Willd.) Cham. n/a
Alismatales Hydrocharitaceae Najas marina L. 2n = 12 Wang (1985), Uchiyama (1989)
Alismatales Hydrocharitaceae Najas marina L. 2n = 24 Viinikka et al. (2008)
Alismatales Hydrocharitaceae Najas tenuis Magnus 2n = 24 Ito et al. (2014b)
Alismatales Hydrocharitaceae Nechamandra alternifolia (Roxb.) Thwaites 2n = 16 Sharma and Chatterjee (1967) Ito et al. (2009)
Alismatales Hydrocharitaceae Ottelia alismoides (L.) Pers. 2n = 44 Harada (1956), Uchiyama (1989)
Alismatales Hydrocharitaceae Ottelia alismoides (L.) Pers. 2n = 66 Chaudhuri and Sharma (1978)
Alismatales Hydrocharitaceae Ottelia alismoides (L.) Pers. 2n = 68 Chaudhuri and Sharma (1978)
Alismatales Hydrocharitaceae Ottelia cordata (Wall.) Dandy n/a
Alismatales Hydrocharitaceae Vallisneria spiralis L. 2n = 20 Wang (1986)
Alismatales Hydrocharitaceae Vallisneria spiralis L. 2n = 24 Chaudhuri and Sharma (1978)
Alismatales Hydrocharitaceae Vallisneria spiralis L. 2n = 30 Chaudhuri and Sharma (1978)
Alismatales Hydrocharitaceae Vallisneria spiralis L. 2n = 40 Chaudhuri and Sharma (1978), Sarkar et al. (1980)
Alismatales Aponogetonaceae Aponogeton lakhonensis A. Camus n/a
Alismatales Potamogetonaceae Potamogeton crispus L. 2n = 52 Kaplan et al. (2013) Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton crispus L. 2n = 56 Nakata and Nagai (1998)
Alismatales Potamogetonaceae Potamogeton distinctus A. Benn. 2n = 52 Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton distinctus A. Benn. × P. nodosus Poir. 2n = 52 This study
Alismatales Potamogetonaceae Potamogeton maackianus A Benn. 2n = 52 Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton maackianus A Benn. 2n = 56 Kaplan et al. (2013) Uchiyama (1989), Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton × malainoides Miki 2n = 52 Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton lucens L. 2n = 52 Kaplan et al. (2013) Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton nodosus Poir. 2n = 52 Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton octandrus Poir. 2n = 28 Uchiyama (1989), Nakata and Nagai (1998), Kaplan et al. (2013)
Alismatales Potamogetonaceae Potamogeton wrightii Morong 2n = 52 Kaplan et al. (2013)
Alismatales Potamogetonaceae Stuckenia pectinata (L.) Börner 2n = 78 Kaplan et al. (2013) Kaplan et al. (2013)
Alismatales Potamogetonaceae Stuckenia pectinata (L.) Börner 2n = 84 Uchiyama (1989)
Alismatales Ruppiaceae Ruppia maritima L. 2n = 20 Ito et al. (2010) Ito et al. (2010) Ito et al. (2010) Van Vierssen et al. (1981)
Ruppia maritima L. 2n = 40 Harada (1956), Ito et al. (2010) Ito et al. (2010)
Asparagales Amaryllidaceae Crinum thaianum J. Schul. n/a
Commelinales Pontederiaceae Eichhornia crassipes (Mart.) Solms 2n = 32 Pedrosa et al. (1999)
Commelinales Pontederiaceae Monochoria hastata (L.) Solms 2n = 28 Patwary et al. (1989)
Commelinales Pontederiaceae Monochoria hastata (L.) Solms 2n = 80 Patwary et al. (1989)
Commelinales Pontederiaceae Monochoria vaginalis (Burm.f.) C. Presl ex Kunth 2n = 24 Christopher (1983) (var. plantaginea (Roxb.) Solms);Patwary et al. (1989)
Commelinales Pontederiaceae Monochoria vaginalis (Burm.f.) C. Presl ex Kunth 2n = 48 Wang and Kusanagi (1996) (var. angustifolia G.X.Wang)
Commelinales Pontederiaceae Monochoria vaginalis (Burm.f.) C. Presl ex Kunth 2n = 52 Christopher (1983), Patwary et al. (1989) Wang and Kusanagi (1996)
Commelinales Typhaceae Typha angustifolia L. 2n = 30 Löve and Löve (1981)
Poales Eriocaulaceae Eriocaulon setaceum L. n/a

Discussion

Of 45 non-hybrid aquatic monocots and two interspecific hybrids among them, more than two thirds have no chromosome variation. Meanwhile, the following nine species have infra-specific chromosome variation, i.e., Acorus calamus, Cryptocoryne crispatula, Blyxa echinosperma, Hydrilla verticillata, Najas graminea, Ottelia alismoides, Vallisneria spiralis, Monochoria hastata, and M. vaginalis (Table 1). Among the cytologically variable aquatic monocots are A. calamus, O. alismoides, V. spiralis, and M. vaginalis, for which unique chromosome counts are obtained from each floristic region. Myanmar is known as including borders among the Indian, the Indochina, and the Sino-Japanese floristic regions (Tanaka 2010), yet in the aquatic flora, it is unknown which flora is more influenced. Future research with a focus on such species will address this issue.

Potamogeton is known as having numerous inter-specific hybrids, and each parental combination is varied from intra-ploidy crosses to inter-ploidy ones (Kaplan et al. 2013). The present study revealed P. distinctus × P. nodosus as another intra-ploidy hybrid of Potamogeton at tetraploid level.

Acknowledgements

Thanks are due to the following personnel in Myanmar for their help in arranging our field work: U. Htun Paw Oo, Ex-director of Nature and Wildlife Conservation Division; U. Soe Win Hlaing, Ex-director General, Forest Department, Ministry of Environmental Conservation and Forestry. We also thank Prof. T. Koyama, director of the Kochi Prefectural Makino Botanical Garden (Japan), who initiated the Myanmar-Japanese cooperative program to inventory the plants of Myanmar, and gave us the opportunities to study the Myanmar plants, Prof. J. Murata, curator of the University of Tokyo (Japan), who principally organizes the Myanmar-Japanese inventory project, and Dr. T. Ohi-Toma, assistant professor of the University of Tokyo (Japan), who helps the first author to use the facilities of the botanical gardens, the university of Tokyo.

Author contributions

Conceived and designed the study: YI NT. Collected the samples in the field: YI NT. Performed the chromosome observation: YI. Analyzed the data: YI. Wrote the paper: YI. Corrected and revised manuscript: NT.

References