Submitted:
06 May 2026
Posted:
07 May 2026
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Study Design and Component Distinction
2.3. Free Floristic Inventory (Component I)
2.4. Structural Sampling via Transects (Component II)
2.5. Alpha Diversity and Horizontal Structure (Component II)
2.6. Vertical Structure and Allometric Analysis (Component II)
2.7. Biomass and Carbon Estimation (Component II)
2.7.1. Proposed Carbon Indices (Component II)
2.8. Collection Permits and Ethical Declarations
2.9. Statistical Analysis
3. Results
3.1. Taxonomic Diversity and Floristic Richness (Component I — 24 ha)
3.1.1. Growth Forms — Free Floristic Inventory (Component I)
3.2. Alpha Diversity Indices (Component II — Transects, 35 spp., 498 ind.)
3.2.1. Structural Sampling Completeness: Rarefaction and Asymptotic Estimation
3.3. Horizontal Structure of the Forest Remnant (Component II)
3.4. Vertical Structure of the Forest Remnant (Component II)
3.5. Biomass and Carbon of the Remnant (Component II)
3.6. Carbon Sustainability Index (CSI) by Spatial Pattern (Component II)
4. Discussion
4.1. Taxonomic Diversity and Floristic Richness
4.2. Diversity Indices and Community Structure
4.3. Horizontal Structure and Spatial Distribution Patterns
4.4. Vertical Structure and Successional Position
4.5. Carbon Storage and Sustainability
4.6. Study Limitations
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AGB | Aboveground biomass |
| ANLA | Autoridad Nacional de Licencias Ambientales |
| BA | Basal area |
| BEF | Biomass expansion factor |
| CAUP | Herbario de la Universidad del Cauca |
| CBH | Circumference at breast height |
| CCEI | Carbon Capture Efficiency Index |
| CSI | Carbon Sustainability Index |
| CVI | Carbon Valuation Index |
| DBH | Diameter at breast height; D |
Appendix A
| Family | Species |
|---|---|
| Acanthaceae | Dianthera secunda, Lepidagathis alopecuroidea, Ruellia blechum |
| Actinidiaceae | Saurauia scabra |
| Amaranthaceae | Alternanthera porrigens, Alternanthera sessilis, Iresine diffusa |
| Anacardiaceae | Mauria heterophylla, Toxicodendron striatum |
| Araceae | Anthurium longistamineum, Anthurium microspadix |
| Araliaceae | Oreopanax bogotensis |
| Arecaceae | Geonoma pinnatifrons |
| Arthoniaceae | Arthonia sp. 1, Herpothallon rubrocinctum, Herpothallon rubroechinatum |
| Aspleniaceae | Asplenium aethiopicum, Asplenium theciferum |
| Asteraceae | Acmella ciliata, Ageratum conyzoides, Austroeupatorium inulifolium, Baccharis latifolia, Baccharis trinervis, Bidens pilosa, Calea colombiana, Calea sessiliflora, Chromolaena laevigata, Critoniella acuminata, Elephantopus mollis, Pseudelephantopus spiralis, Sonchus asper |
| Bacidiaceae | Bacidia biatorina |
| Bartramiaceae | Breutelia chrysea |
| Brachytheciaceae | Brachythecium plumosum, Brachythecium stereopoma |
| Brassicaceae | Lepidium trianae |
| Bromeliaceae | Cipuropsis capituligera, Racinaea fraseri, Racinaea penlandii, Racinaea tenuispica, Tillandsia complanata, Tillandsia fendleri, Tillandsia myriantha |
| Bryaceae | Anomobryum conicum, Anomobryum julaceum, Brachymenium globosum, Bryum andicola, Bryum argenteum, Bryum densifolium, Rhodobryum beyrichianum |
| Cactaceae | Rhipsalis sulcata |
| Caliciaceae | Dirinaria applanata, Dirinaria confluens, Pyxine cocoes |
| Callicostaceae | Hypnella diversifolia |
| Calymperaceae | Syrrhopodon gaudichaudii |
| Campanulaceae | Centropogon lehmannii |
| Candelariaceae | Candelaria concolor |
| Chloranthaceae | Hedyosmum bonplandianum, Hedyosmum goudotianum |
| Coccocarpiaceae | Coccocarpia sp. |
| Coenogoniaceae | Coenogonium linkii, Coenogonium pinetti |
| Collemataceae | Leptogium granulatum, Leptogium phyllocarpum |
| Cordiaceae | Varronia acuta |
| Costaceae | Costus laevis |
| Cryphaeaceae | Cryphaea patens, Cryphaea ramosa |
| Cucurbitaceae | Melothria pendula |
| Cyatheaceae | Cyathea horrida |
| Cyperaceae | Cyperus hermaphroditus, Rhynchospora hieronymi, Rhynchospora nervosa |
| Daltoniaceae | Adelothecium bogotense |
| Dicranaceae | Bryohumbertia filifolia, Campylopus pilifer, Dicranella hilariana, Holomitrium flexuosum, Leucoloma cruegerianum |
| Dryopteridaceae | Elaphoglossum burchellii, Elaphoglossum ellipsoideum, Elaphoglossum muscosum, Elaphoglossum paleaceum, Peltapteris flabellata, Polystichum platyphyllum |
| Euphorbiaceae | Alchornea latifolia, Croton hibiscifolius, Euphorbia hirta |
| Fabaceae | Acaciella angustissima, Desmodium purpusii, Inga densiflora, Inga edulis, Senna hirsuta, Senna pendula, Trifolium repens, Zornia reticulata |
| Fagaceae | Quercus humboldtii |
| Fissidentaceae | Fissidens asplenioides, Fissidens lagenarius, Fissidens polypodioides |
| Frullaniaceae | Frullania sp. |
| Funariaceae | Funaria hygrometrica |
| Gesneriaceae | Besleria solanoides, Kohleria spicata |
| Graphidaceae | Graphis chondroplaca |
| Heliconiaceae | Heliconia burleana, Heliconia gaiboriana, Heliconia griggsiana |
| Herbertaceae | Herbertus pensilis |
| Hypericaceae | Vismia lauriformis |
| Hypnaceae | Ctenidium malacodes, Ectropothecium leptochaeton, Isopterygium tenerifolium, Isopterygium tenerum, Mittenothamnium reptans |
| Hypoxidaceae | Hypoxis decumbens |
| Lacistemataceae | Lacistema aggregatum |
| Lamiaceae | Clinopodium brownei, Mesosphaerum pectinatum, Mesosphaerum sidifolium, Ocimum campechianum, Salvia scutellarioides, Salvia tiliifolia, Scutellaria incarnata |
| Lauraceae | Aiouea montana, Nectandra acutifolia, Nectandra mollis, Ocotea cuatrecasasii, Ocotea oblonga |
| Lecanoraceae | Lecanora argentata |
| Lejeuneaceae | Bryopteris filicina, Lejeunea sp. |
| Leucobryaceae | Atractylocarpus longisetus, Leucobryum antillarum, Leucobryum giganteum |
| Loranthaceae | Oryctanthus spicatus, Passovia pyrifolia |
| Lycopodiaceae | Huperzia linifolia, Lycopodiella cernua, Lycopodium clavatum |
| Lythraceae | Cuphea strigulosa |
| Malpighiaceae | Stigmaphyllon bogotense |
| Malvaceae | Heliocarpus americanus, Pavonia sepioides, Sida rhombifolia, Triumfetta bogotensis, Triumfetta rhomboidea |
| Marchantiaceae | Marchantia chenopoda |
| Melastomataceae | Arthrostemma ciliatum, Chaetogastra gracilis, Miconia desmantha, Miconia notabilis, Miconia octona, Miconia theaezans, Miconia versicolor, Rhynchanthera mexicana |
| Meteoriaceae | Meteoridium remotifolium, Meteorium nigrescens, Squamidium leucotrichum |
| Mniaceae | Plagiomnium rhynchophorum |
| Moraceae | Olmedia aspera |
| Myrtaceae | Myrcia popayanensis, Myrcianthes hallii, Psidium guineense, Syzygium jambos |
| Octoblepharaceae | Octoblepharum albidum |
| Orchidaceae | Comparettia falcata, Dichaea humilis, Dichaea pendula, Epidendrum melinanthum, Erycina pusilla, Lepanthes tracheia, Oncidium adelaidae, Pleurothallis cordata, Prosthechea grammatoglossa, Rodriguezia granadensis, Stelis argentata, Stelis pusilla, Trizeuxis falcata |
| Orobanchaceae | Castilleja angustata |
| Orthotrichaceae | Groutiella chimborazensis, Groutiella tomentosa, Macromitrium guatemaliense, Macromitrium cf. punctatum, Macromitrium richardii |
| Pallaviciniaceae | Symphyogyna brasiliensis |
| Pannariaceae | Parmeliella triptophylla |
| Parmeliaceae | Crespoa crozalsiana, Hypotrachyna sp., Rimelia subisidiosa, Usnea sp. |
| Peltigeraceae | Crocodia aurata, Sticta hypoglabra |
| Physciaceae | Leucodermia leucomelos |
| Piperaceae | Peperomia haematolepis, Peperomia silvivaga, Peperomia tetraphylla, Piper auritum, Piper capillipes, Piper catripense, Piper crassinervium, Piper hartwegianum, Piper hispidum |
| Plantaginaceae | Plantago major |
| Poaceae | Agrostis perennans, Andropogon aequatoriensis, Chloris radiata, Cynodon nlemfuensis, Digitaria ciliaris, Digitaria horizontalis, Eleusine indica, Eragrostis bahiensis, Homolepis glutinosa, Lasiacis divaricata, Lasiacis ligulata, Lasiacis nigra, Lasiacis sorghoidea, Oplismenus hirtellus, Panicum polygonatum, Paspalum candidum, Paspalum conjugatum, Pseudechinolaena polystachya, Steinchisma laxa, Zeugites americanus |
| Polygalaceae | Polygala asperuloides |
| Polypodiaceae | Campyloneurum brevifolium, Campyloneurum phyllitidis, Grammitis apiculata, Pecluma plumula, Pleopeltis astrolepis, Pleopeltis macrocarpa, Serpocaulon adnatum, Serpocaulon funckii, Serpocaulon lasiopus, Serpocaulon levigatum |
| Primulaceae | Myrsine coriacea, Myrsine guianensis |
| Pteridaceae | Adiantum andicola, Polytaenium lineatum, Radiovittaria gardneriana, Vittaria graminifolia |
| Pterobryaceae | Calyptothecium duplicatum, Hildebrandtiella guyanensis |
| Ramalinaceae | Lopezaria versicolor, Ramalina celastri |
| Roccellaceae | Bactrospora sp. |
| Rosaceae | Rubus idaeus, Rubus urticifolius |
| Rubiaceae | Chiococca alba, Cinchona pubescens, Coccocypselum lanceolatum, Coffea arabica, Ladenbergia oblongifolia, Palicourea angustifolia, Palicourea crocea, Palicourea heterochroma, Palicourea thyrsiflora, Spermacoce capitata |
| Rutaceae | Citrus reticulata |
| Salicaceae | Banara guianensis |
| Schizaeaceae | Anemia hirsuta, Anemia villosa |
| Selaginellaceae | Selaginella diffusa |
| Sematophyllaceae | Sematophyllum subpinnatum |
| Solanaceae | Solanum americanum, Solanum caripense, Solanum quitoense, Solanum sisymbriifolium, Solanum umbellatum |
| Sphagnaceae | Sphagnum meridense |
| Teloschistaceae | Gallowayella weberi, Teloschistes flavicans |
| Thuidiaceae | Thuidium peruvianum, Thuidium tomentosum |
| Urticaceae | Cecropia angustifolia, Phenax sonneratii |
| Verbenaceae | Verbena litoralis |
| Viburnaceae | Viburnum lehmannii |
| Zingiberaceae | Hedychium coronarium, Renealmia ligulata |
| Species | IVI | Ga | Interpretation |
|---|---|---|---|
| Aiouea montana | 17.50 | 2.43 | Clustered |
| Alchornea latifolia | 5.18 | 1.53 | Tends to cluster |
| Banara guianensis | 1.86 | 0.04 | Dispersed |
| Cecropia angustifolia | 2.96 | 0.90 | Dispersed |
| Cinchona pubescens | 4.59 | 0.87 | Dispersed |
| Citrus reticulata | 1.48 | 0.90 | Dispersed |
| Coffea arabica | 9.15 | 0.90 | Dispersed |
| Costus laevis | 1.48 | 0.90 | Dispersed |
| Geonoma pinnatifrons | 19.35 | 2.82 | Clustered |
| Hedyosmum bonplandianum | 5.46 | 0.90 | Dispersed |
| Heliconia griggsiana | 19.60 | 0.17 | Dispersed |
| Inga densiflora | 4.39 | 0.09 | Dispersed |
| Lacistema aggregatum | 22.18 | 2.48 | Clustered |
| Miconia notabilis | 5.77 | 2.18 | Clustered |
| Miconia octona | 3.16 | 1.17 | Tends to cluster |
| Miconia theaezans | 1.71 | 0.90 | Dispersed |
| Myrcia popayanensis | 3.15 | 1.17 | Tends to cluster |
| Myrcianthes hallii | 1.50 | 0.90 | Dispersed |
| Myrsine coriacea | 12.36 | 0.78 | Dispersed |
| Myrsine guianensis | 17.31 | 2.36 | Clustered |
| Nectandra acutifolia | 3.92 | 1.96 | Tends to cluster |
| Nectandra mollis | 2.45 | 0.90 | Dispersed |
| Ocotea oblonga | 2.68 | 0.90 | Dispersed |
| Olmedia aspera | 17.85 | 15.28 | Clustered |
| Oreopanax bogotensis | 5.20 | 0.65 | Dispersed |
| Palicourea angustifolia | 3.25 | 1.17 | Tends to cluster |
| Palicourea crocea | 45.12 | 3.60 | Clustered |
| Palicourea heterochroma | 2.09 | 1.79 | Tends to cluster |
| Palicourea thyrsiflora | 17.51 | 2.43 | Clustered |
| Piper crassinervium | 3.67 | 0.90 | Dispersed |
| Piper hartwegianum | 10.95 | 0.09 | Dispersed |
| Piper hispidum | 11.41 | 0.74 | Dispersed |
| Quercus humboldtii | 6.52 | 0.13 | Dispersed |
| Syzygium jambos | 5.76 | 2.18 | Clustered |
| Toxicodendron striatum | 1.46 | 0.90 | Dispersed |
References
- Alvarado-Reyes, A.J.; Rosero-Lasprilla, L.; Jara-Muñoz, O.A. Floristic composition and structure of an Andean forest remnant in the eastern slope of the Colombian Andes. Biota Colombiana 2024, 25, e1202. [Google Scholar]
- Alvear, M.; Betancur, J.; Franco-Rosselli, P. Floristic composition and structure of a sub-Andean forest in the Cauca Department, Colombia. Caldasia 2010, 32, 39–63. [Google Scholar]
- Anzoátegui, L.V.; Gil-Leguizamón, P.A.; Sanabria-Marín, R. Plant diversity and structure of an Andean secondary forest in advanced passive restoration. Bosque 2023, 44, 159–170. [Google Scholar] [CrossRef]
- IDEAM; MADS. Actualización cifras de monitoreo de la superficie de bosque — 2024. IDEAM: Bogotá, Colombia, 2025.
- IDEAM. Tasa anual de deforestación según Departamento 1990–2024. IDEAM: Bogotá, Colombia, 2025.
- Armenteras, D.; Rodríguez, N. Forest fragmentation and biodiversity loss in the Colombian Andes. Colomb. For. 2014, 17, 233–246. [Google Scholar] [CrossRef]
- Galindo, T.; Betancur, J.; Cadena, J. Floristic composition of an Andean forest in the Central Cordillera of Colombia. Caldasia 2003, 25, 313–335. [Google Scholar]
- Ariza, W.; Toro, J.L.; Medina, A. Estructura y composición florística de un bosque andino en el suroccidente colombiano. Colomb. For. 2009, 12, 81–102. [Google Scholar]
- Trujillo, W.F.; Henao, M.M. Composición y estructura del componente arbóreo en un bosque subandino del departamento de Caldas. Colomb. For. 2018, 21, 18–33. [Google Scholar] [CrossRef]
- Franco-Rosselli, P.; Betancur, J.; Fernández-Alonso, J.L. Plant diversity in Colombian Andean forests. Caldasia 1997, 19, 205–234. [Google Scholar]
- Sanín, D.; Duque, C.A. Floristic and structural characterization of a sub-Andean forest fragment in Cauca, Colombia. Bol. Cient. Cent. Museos 2006, 10, 45–75. [Google Scholar]
- Rangel, J.O.; Lozano, G. Un perfil de vegetación entre Puracé y el Volcán Nevado del Huila. Caldasia 1986, 14, 503–547. [Google Scholar]
- Vallejo-Mayo, L.Y.; Rivera-Díaz, O. Composición y estructura de un fragmento de bosque andino en Santander de Quilichao, Cauca. Caldasia 2022, 44, 8–18. [Google Scholar] [CrossRef]
- López-Vargas, L.E.; et al. Diversidad florística y estructural de un bosque subandino fragmentado en Timbío (Cauca, Colombia). Luna Azul 2015, 41, 131–151. [Google Scholar]
- Bolaños, G.Y.; et al. Sucesión secundaria en bosques andinos: dinámica de regeneración y composición florística. Bol. Cient. Mus. Hist. Nat. 2010, 14, 19–38. [Google Scholar]
- Segura-Madrigal, M.A.; Andrade, H.J.; Sierra, E. Aboveground biomass and carbon storage in Andean secondary forests of Colombia. Rev. Biol. Trop. 2020, 68, 1–14. [Google Scholar]
- Aragón, S.; et al. Aboveground biomass accumulation along secondary succession gradients in tropical montane forests of South America. Glob. Ecol. Conserv. 2021, 28, e01696. [Google Scholar] [CrossRef]
- Ojoatre, S.; et al. Carbon storage and recovery dynamics in tropical secondary forests: a global meta-analysis. For. Ecol. Manag. 2024, 552, 121569. [Google Scholar] [CrossRef]
- Herazo-Vitola, F.; et al. Estructura vertical y composición florística de un bosque andino en proceso de restauración pasiva en Colombia. Acta Bot. Mex. 2021, 128, e1828. [Google Scholar] [CrossRef]
- Holguín-Estrada, V.A.; et al. Allometric heterogeneity and architectural complexity in Neotropical secondary forests. Polibotánica 2021, 51, 55–71. [Google Scholar] [CrossRef]
- Mueller-Dombois, D.; Ellenberg, H. Aims and Methods of Vegetation Ecology; Wiley: New York, USA, 1974; ISBN 978-0-471-62290-2. [Google Scholar]
- Montes-de-Oca-Cano, E.; et al. Carbon storage in tropical secondary forests of Colombia: implications for climate change mitigation. Colomb. For. 2020, 23, 89–98. [Google Scholar] [CrossRef]
- Murcia, C.; et al. Restauración de bosques andinos: avances, desafíos y perspectivas; CIFOR Documentos Ocasionales 170; CIFOR: Bogor, Indonesia, 2017. [Google Scholar]
- Beugnon, R.; et al. Tree species spatial heterogeneity enhances long-term carbon-storage stability in tropical forests. Nat. Commun. 2025, 16, 61389. [Google Scholar] [CrossRef]
- Qiao, X.; et al. Spatial aggregation patterns and carbon-stock stability in subtropical forests: a modelling approach. Ecol. Modell. 2023, 475, 110689. [Google Scholar]
- FAO. Global Forest Resources Assessment 2000; FAO Forestry Paper 140; FAO: Rome, Italy, 2000. [Google Scholar]
- IPCC. 2019 Refinement to the 2006 IPCC Guidelines for National Greenhouse Gas Inventories. In Agriculture, Forestry and Other Land Use; IPCC: Geneva, Switzerland, 2019; Volume 4. [Google Scholar]
- Chave, J.; et al. Improved allometric models to estimate the aboveground biomass of tropical trees. Glob. Change Biol. 2014, 20, 3177–3190. [Google Scholar] [CrossRef] [PubMed]
- Rodríguez-Lombana, A.R.; et al. Floristic patterns of Andean tropical forests in northwestern Colombia. Biota Colomb. 2017, 18, 43–72. [Google Scholar] [CrossRef]
- Freund, C.A.; et al. Microclimate and structural drivers of vascular epiphyte diversity in Andean forests. Front. For. Glob. Change 2023, 6, 1091387. [Google Scholar] [CrossRef]
- Gentry, A.H.; Dodson, C.H. Diversity and biogeography of Neotropical vascular epiphytes. Ann. Mo. Bot. Gard. 1987, 74, 205–233. [Google Scholar] [CrossRef]
- Ogawa, H.; Yoda, K.; Ogino, K.; Kira, T. Comparative ecological studies on three main types of forest vegetation in Thailand. Nat. Life Southeast Asia 1965, 4, 13–80. [Google Scholar]
- Scott, D.W. On optimal and data-based histograms. Biometrika 1979, 66, 605–610. [Google Scholar] [CrossRef]
- Pretzsch, H. Forest Dynamics, Growth and Yield: From Measurement to Model; Springer: Berlin, Germany, 2009; ISBN 978-3-540-88306-7. [Google Scholar] [CrossRef]
- Hsieh, T.C.; Ma, K.H.; Chao, A. iNEXT: an R package for rarefaction and extrapolation of species diversity (Hill numbers). Methods Ecol. Evol. 2016, 7, 1451–1456. [Google Scholar] [CrossRef]
- 36.R Core Team. R: A Language and Environment for Statistical Computing, version 4.3.0; R Foundation for Statistical Computing: Vienna, Austria, 2023; Available online: https://www.R-project.org/ (accessed on 15 March 2025).
- Oksanen, J.; Simpson, G.L.; Blanchet, F.G.; et al. vegan: Community Ecology Package, R Package version 2.6-4. 2022. Available online: https://CRAN.R-project.org/package=vegan (accessed on 15 March 2025).
- Wickham, H. ggplot2: Elegant Graphics for Data Analysis, 3rd ed.; Springer: New York, USA, 2023; ISBN 978-3-319-24277-4. [Google Scholar]
- Wickham, H.; François, R.; Henry, L.; Müller, K. dplyr: A Grammar of Data Manipulation, R Package version 1.1.2. 2023. Available online: https://CRAN.R-project.org/package=dplyr (accessed on 15 March 2025).
- World Flora Online Consortium. World Flora Online. Available online: https://www.worldfloraonline.org/ (accessed on 30 June 2025).












| Distribution pattern (Ga) | Fspatial | Criterion |
|---|---|---|
| Low aggregation (Ga < 1) | 1.00 | Dispersed / regular distribution |
| Tendency toward clumping (1 ≤ Ga ≤ 2) | 0.75 | Intermediate pattern |
| Aggregated (Ga > 2) | 0.50 | Aggregated pattern |
| Other cases | 0.75 | Default value |
| Family | Species | % of total |
| Poaceae | 20 | 7.12 |
| Asteraceae | 13 | 4.63 |
| Orchidaceae | 13 | 4.63 |
| Polypodiaceae | 10 | 3.56 |
| Rubiaceae | 10 | 3.56 |
| Piperaceae | 9 | 3.20 |
| Fabaceae | 8 | 2.85 |
| Melastomataceae | 8 | 2.85 |
| Bromeliaceae | 7 | 2.49 |
| Bryaceae | 7 | 2.49 |
| Subtotal (10 most diverse families) | 105 | 37.40 |
| Total | 281 | 100.00 |
| Transect | N | S obs. | S raref. (n = 52) | SE | S asympt. | 95% CI | Complet. |
| Transect 1 | 52 | 15 | 15.00 | 0.000 | 30.7 | 15.0–64.4 | ≈49% |
| Transect 2 | 124 | 15 | 10.85 | 1.348 | 32.9 | 15.0–58.7 | ≈46% |
| Transect 3 | 112 | 18 | 13.46 | 1.511 | 20.1 | 18.0–34.1 | ≈90% |
| Transect 4 | 107 | 14 | 11.31 | 1.185 | 21.9 | 14.0–39.0 | ≈64% |
| Transect 5 | 100 | 17 | 13.11 | 1.398 | 29.1 | 17.0–53.0 | ≈58% |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.