Abstract
Recent studies have highlighted the importance of the atmosphere in the long-range transport of microplastic fibres. However, their dry deposition in the atmosphere is not fully understood, with the common spherical-shape assumption leading to significant uncertainties in predicting their travel distance and atmospheric residence time. Shapes of microplastic fibres vary greatly, which can be as long as 100 μm and as thin as 2 μm. Shapes of microplastic fibres may greatly affect their dry deposition in the atmosphere. Here we develop a theory-based settling velocity model for simulating atmospheric transport of microplastic fibres in different sizes and shapes. The model predicts a smaller aerodynamic size of microplastic fibres than that estimated by using volumetrically equivalent spherical counterparts. We find that the treatment of flat fibres as cylindrical ones, due to uncertainty in dimensions of sampled microplastic fibres, would cause overestimation of their dry deposition rate. Accounting for fibre thickness in sampled microplastic fibres leads to a mean enhancement of residence time by more than 450% compared to cylindrical ones. The results suggest a much more efficient long-range transport of flat fibres than previously thought.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout




Similar content being viewed by others
Data availability
Original data underlying the figures are available at https://github.com/a20070348/MPFs_Data.
Code availability
Code for computing the settling velocity given different characteristics of the fibres is available at https://github.com/a20070348/MPs.
References
Yang, L., Zhang, Y., Kang, S., Wang, Z. & Wu, C. Microplastics in soil: Aa review on methods, occurrence, sources, and potential risk. Sci. Total Environ. 780, 146546 (2021).
Horton, A. A. & Dixon, S. J. Microplastics: an introduction to environmental transport processes. Wiley Interdiscip. Rev. Water 5, e1268 (2018).
Allen, S. et al. Atmospheric transport and deposition of microplastics in a remote mountain catchment. Nat. Geosci. 12, 339–344 (2019).
Brahney, J. et al. Constraining the atmospheric limb of the plastic cycle. Proc. Natl Acad. Sci. USA 118, e2020719118 (2021).
Brahney, J., Hallerud, M., Heim, E., Hahnenberger, M. & Sukumaran, S. Plastic rain in protected areas of the United States. Science 368, 1257–1260 (2020).
Abbasi, S., Rezaei, M., Ahmadi, F. & Turner, A. Atmospheric transport of microplastics during a dust storm. Chemosphere 292, 133456 (2022).
Allen, D. et al. Microplastics and nanoplastics in the marine–atmosphere environment. Nat. Rev. Earth Environ. 3, 393–405 (2022).
Rillig, M. C. & Lehmann, A. Microplastic in terrestrial ecosystems. Science 368, 1430–1431 (2020).
Allen, S. et al. Evidence of free tropospheric and long-range transport of microplastic at Pic du Midi observatory. Nat. Commun. 12, 7242 (2021).
Thomas, K. V. Understanding the plastics cycle to minimize exposure. Nat. Sustain. 5, 282–284 (2022).
Zhang, Y., Gao, T., Kang, S. & Sillanpää, M. Importance of atmospheric transport for microplastics deposited in remote areas. Environ. Pollut. 254, 112953 (2019).
Woodward, J., Li, J., Rothwell, J. & Hurley, R. Acute riverine microplastic contamination due to avoidable releases of untreated wastewater. Nat. Sustain. 4, 793–802 (2021).
Zhang, Y. et al. Atmospheric microplastics: a review on current status and perspectives. Earth Sci. Rev. 203, 103118 (2020).
Taylor, M., Gwinnett, C., Robinson, L. F. & Woodall, L. C. Plastic microfibre ingestion by deep-sea organisms. Sci. Rep. 6, 33997 (2016).
Zender, C. S., Bian, H. & Newman, D. Mineral dust entrainment and deposition (dead) model: description and 1990s dust climatology. J. Geophys. Res. Atmos. https://doi.org/10.1029/2002JD002775 (2003).
Huang, Y. et al. Climate models and remote sensing retrievals neglect substantial desert dust asphericity. Geophys. Res. Lett. 47, e2019GL086592 (2020).
Kooi, M. & Koelmans, A. A. Simplifying microplastic via continuous probability distributions for size, shape, and density. Environ. Sci. Technol. Lett. 6, 551–557 (2019).
Evangeliou, N., Tichý, O., Eckhardt, S., Zwaaftink, C. G. & Brahney, J. Sources and fate of atmospheric microplastics revealed from inverse and dispersion modelling: from global emissions to deposition. J. Hazard. Mater. 432, 128585 (2022).
Huang, Y., Qing, X., Wang, W., Han, G. & Wang, J. Mini-review on current studies of airborne microplastics: analytical methods, occurrence, sources, fate and potential risk to human beings. TrAC Trends Anal. Chem. 125, 115821 (2020).
Marchioli, C., Fantoni, M. & Soldati, A. Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow. Phys. Fluids 22, 033301 (2010).
Lopez, D. & Guazzelli, E. Inertial effects on fibers settling in a vortical flow. Phys. Rev. Fluids 2, 024306 (2017).
Dietrich, W. E. Settling velocity of natural particles. Water Resour. Res. 18, 1615–1626 (1982).
Khatmullina, L. & Isachenko, I. Settling velocity of microplastic particles of regular shapes. Mar. Pollut. Bull. 114, 871–880 (2017).
Waldschlager, K. & Schuttrumpf, H. Effects of particle properties on the settling and rise velocities of microplastics in freshwater under laboratory conditions. Environ. Sci. Technol. 53, 1958–1966 (2019).
Zhang, J. & Choi, C. E. Improved settling velocity for microplastic fibers: a new shape-dependent drag model. Environ. Sci. Technol. 56, 962–973 (2021).
Zhao, L., Challabotla, N. R., Andersson, H. I. & Variano, E. A. Rotation of nonspherical particles in turbulent channel flow. Phys. Rev. Lett. 115, 244501 (2015).
Voth, G. A. & Soldati, A. Anisotropic particles in turbulence. Ann. Rev. Fluid Mech. 49, 249–276 (2017).
Kramel, S. Non-spherical Particle Dynamics in Turbulence. PhD thesis, Wesleyan Univ. (2018).
Menon, U. K. Theory and Simulation for the Orientation of High Aspect Ratio Particles Settling in Homogeneous Isotropic Turbulence. PhD thesis, Cornell Univ. (2009).
Marchioli, C., Zhao, L. & Andersson, H. On the relative rotational motion between rigid fibers and fluid in turbulent channel flow. Phys. Fluids 28, 013301 (2016).
Zhao, L., Marchioli, C. & Andersson, H. I. Slip velocity of rigid fibers in turbulent channel flow. Phys. Fluids 26, 063302 (2014).
Jayaweera, K. & Cottis, R. Fall velocities of plate-like and columnar ice crystals. Q. J. R. Meteorolog. Soc. 95, 703–709 (1969).
Yang, X., Wang, Y., Yang, H. & Yang, Y. Experimental research on free settling properties of different types of single fiber particle in air. Build. Environ. 185, 107300 (2020).
Khayat, R. & Cox, R. Inertia effects on the motion of long slender bodies. J. Fluid Mech. 209, 435–462 (1989).
Muñoz-Esparza, D., Sharman, R. D. & Lundquist, J. K. Turbulence dissipation rate in the atmospheric boundary layer: observations and WRF mesoscale modeling during the XPIA field campaign. Mon. Weather Rev. 146, 351–371 (2018).
Batchelor, G. Slender-body theory for particles of arbitrary cross-section in Stokes flow. J. Fluid Mech. 44, 419–440 (1970).
Ni, R., Kramel, S., Ouellette, N. T. & Voth, G. A. Measurements of the coupling between the tumbling of rods and the velocity gradient tensor in turbulence. J. Fluid Mech. 766, 202–225 (2015).
Clift, R., Grace, J. R. & Weber, M. E. Bubbles, Drops, and Particles (Dover Publications, 2005).
Huang, Y., Adebiyi, A. A., Formenti, P. & Kok, J. F. Linking the different diameter types of aspherical desert dust indicatesthat models underestimate coarse dust emission. Geophys. Res. Lett. 48, e2020GL092054 (2021).
Evangeliou, N. et al. Atmospheric transport is a major pathway of microplastics to remote regions. Nat. Commun. 11, 3381 (2020).
Allen, S. et al. Examination of the ocean as a source for atmospheric microplastics. PloS ONE 15, 0232746 (2020).
Yang, S. et al. Constraining microplastic particle emission flux from the ocean. Environ. Sci. Technol. Lett. 9, 513–519 (2022).
Oehmke, T. & Variano, E. A new particle for measuring mass transfer in turbulence. Exp. Fluids 62, 16 (2021).
Cheng, K.-Y., Wang, P. K. & Hashino, T. A numerical study on the attitudes and aerodynamics of freely falling hexagonal ice plates. J. Atmos. Sci. 72, 3685–3698 (2015).
Roy, A., Hamati, R. J., Tierney, L., Koch, D. L. & Voth, G. A. Inertial torques and a symmetry breaking orientational transition in the sedimentation of slender fibres. J. Fluid Mech. 875, 576–596 (2019).
Jeffery, G. B. The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 102, 161–179 (1922).
Ravnik, J., Marchioli, C. & Soldati, A. Application limits of jeffery’s theory for elongated particle torques in turbulence: a DNS assessment. Acta Mech. 229, 827–839 (2018).
Sabban, L., Cohen, A. & van Hout, R. Temporally resolved measurements of heavy, rigid fibre translation and rotation in nearly homogeneous isotropic turbulence. J. Fluid Mech. 814, 42–68 (2017).
Bréon, F.-M. & Dubrulle, B. Horizontally oriented plates in clouds. J. Atmos. Sci. 61, 2888–2898 (2004).
Klett, J. D. Orientation model for particles in turbulence. J. Atmos. Sci. 52, 2276–2285 (1995).
Siewert, C., Kunnen, R., Meinke, M. & Schröder, W. Orientation statistics and settling velocity of ellipsoids in decaying turbulence. Atmos. Res. 142, 45–56 (2014).
Acknowledgements
We thank D.L. Koch for insightful scientific discussions and comments concerning this work. Our thanks also extend to Y. Guo and S. Yin for assistance with the illustrative figures. Q.L. acknowledges support from the US National Science Foundation (NSF-CAREER-2143664, NSF-AGS-2028633, NSF-CBET-2028842) and computational resources from the National Center for Atmospheric Research (UCOR-0049). J.B. acknowledges support from the US National Science Foundation (NSF-MSB-1926559).
Author information
Authors and Affiliations
Contributions
S.X. and Q.L. designed this research. Y.C. helped with the data preparation and documentation of data and code. J.B. generated the data from on-site measurements. N.M.M. carried out large-scale climate modelling. S.X., Q.L. and N.M.M. wrote the manuscript draft. S.X., Q.L., N.M.M., J.B. and Y.C. revised the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Inclusion and ethics
All authors are committed to fostering an inclusive and ethical environment in all aspects of our work.
Peer review
Peer review information
Nature Geoscience thanks Sajjad Abbasi, Cristian Marchioli, Masanori Saito, and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Primary Handling Editor: Xujia Jiang, in collaboration with the Nature Geoscience team.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended data
Extended Data Fig. 1
Settling velocity for round fiber and flat fiber with l = 1 mm and different β definition.
Extended Data Fig. 2
Settling velocity distribution for flat fiber with different β definition for field measurement data.
Extended Data Fig. 3
Comparison of aerodynamic size distributions for flat fibers with different prescribed thicknesses.
Extended Data Fig. 4 Cumulative probability distributions of reduction in dry deposition rate.
(a) the reduction in dry deposition rate for MPF with a flat bottom and (b) the reduction in dry deposition rate for MPF with round cross-section. Note that the reduction in a dry deposition for MPF with a flat bottom is evaluated between ws calculated from our model for MPF with a flat bottom and the one obtained from our model but with a presumption that the cross section is in a round shape based on the sampled fiber on site. The reduction in dry deposition for MPF with a round cross section is compared between ws calculated from our model and the one obtained from the volumetric spherical particle model. For all the subfigures, red dash–dot lines denote the mean quantities and black solid lines represent the median values.
Extended Data Fig. 5
Figure showing the size of the ocean source (Tg on the y axis) as a function of the size of plastics (um on x-axis) in sensitivity studies where all plastics are assumed to be one size for each sensitivity study.
Extended Data Fig. 6
Flowchart for implementing the proposed model for large-scale climate model.
Extended Data Fig. 7
Framework of our proposed settling velocity model for microplastic fiber.
Supplementary information
Supplementary Information
Supplementary Notes 1–5.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Xiao, S., Cui, Y., Brahney, J. et al. Long-distance atmospheric transport of microplastic fibres influenced by their shapes. Nat. Geosci. 16, 863–870 (2023). https://doi.org/10.1038/s41561-023-01264-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41561-023-01264-6
This article is cited by
-
Global atmospheric distribution of microplastics with evidence of low oceanic emissions
npj Climate and Atmospheric Science (2025)
-
Characterization of atmospheric microplastics: A case study in Shenzhen City, a southern coastal area of China
Environmental Monitoring and Assessment (2025)
-
Environmental consequences of interacting effects of changes in stratospheric ozone, ultraviolet radiation, and climate: UNEP Environmental Effects Assessment Panel, Update 2024
Photochemical & Photobiological Sciences (2025)
-
Weathering influences the ice nucleation activity of microplastics
Nature Communications (2024)