sphagnum moss disperses spores with vortex rings

1
Sphagnum Moss Disperses Spores with Vortex Rings Dwight L. Whitaker 1 and Joan Edwards 2 S phagnum moss forms deep mats cover- ing over 1.5 million km 2 or 1% of Earths land surface (1) and is important in the global carbon cycle, potentially storing more carbon than any other plant genus (2). With over 285 species (3), often with specific microhabitats, long-distance spore dispersal by wind is critical in maintaining this genus (1). To travel long dis- tances, Sphagnum spores must move through the laminar boundary layer into the turbulent bound- ary layer (up to 10 cm above the ground), where eddies can carry small particles upward and lat- erally (4). The terminal velocity of Sphagnum spores is 5 mm s -1 ( 5, 6), indicating that any up- draft exceeding this quantity is sufficient to hold them aloft. However, spores with low terminal velocities rapidly decelerate in still air, and dis- persal range depends on release height, which is limited for this nonvascular plant. Here, we show that the mechanism Sphagnum uses to pro- ject spores to heights suitable for dispersal is the generation of turbulent vortex rings: ellipsoidal bubbles of distributed, toroidal vorticity whose in- ternal flow fields sustain their translational mo- tion (6). To reach turbulent air, spores are explosively liberated. Our observations show that spores reach heights that cannot be explained by ballistic tra- jectories. On sunny days capsules dehydrate, and epidermal cells of the capsule body collapse lat- erally, causing capsules to change shape from spherical to cylindrical (Fig. 1A) and increasing the internal air pressure to between 200 and 500 kPa (7). Eventually pressure forces the cap to break free in under 10 -5 s, vertically propelling the air and spores (Fig. 1D and movies S1 to S4) with an average launch velocity of 16 T 7ms -1 (mean T SEM, n = 15, range from 7.9 to 29.8 m s - 1 ) to a mean height of 114 T 9 mm (mean T SEM, n = 12, range from 90 to 166 mm). These heights can- not be explained by ballistics. Spores launched ballistically with the measured initial velocity of 13 m s -1 would reach a maximum height of only 2 to 7 mm in under 0.5 ms. Whereas after 5 ms, spores traveled over 40 mm while still moving at 3 m s -1 (Fig. 1C). High-speed videos indicate that the generation of turbulent vortex rings by exploding capsules is responsible for the continued trajectory. The sud- den release of air and entrained spores from the circular capsule opening provides the cylindrically symmetric impulse required to generate vortex rings ( 8). The spores in the images reveal the char- acteristic mushroom cloud indicative of turbulent vortex rings (Fig. 1D and movies S2 and S3) ( 6). Spores uniformly distributed over a height of 1 mm in the capsule (Fig. 1B) are concentrated to a height of only 0.3 mm in the vortex bubble that grows to a constant width (Fig. 1C). The drag coefficient, C D , for the vortex bubble in Fig. 1C is between 0.06 and 0.17 ( 6). This agrees with drag measured for vortex rings in water ( C D = 0.09 T 0.01) ( 9) and indicates the efficiency with which Sphagnum vortex rings travel through still air. Vortex rings are commonly generated by animals such as jellyfish and squid for propulsion ( 10 ). Here, we report vortex rings generated by a plant. The enhanced dispersal from vortex rings explains in part the success of Sphagnum, a nonvascular plant that has thrived even after the appearance of land plants with the benefit of well-developed vascular systems. References and Notes 1. H. Rydin, J. Jeglum, The Biology of Peatlands (Oxford Univ. Press, Oxford, 2006). 2. R. S. Clymo, P. M. Hayward, Bryophyte Ecology, A. J. E. Smith, Ed. (Chapman and Hall, New York, 1982). 3. C. B. McQueen, R. E. Andrus, in Flora of North America North of Mexico, Flora of North America Editorial Committee, Ed. (Oxford Univ. Press, Oxford, 2007), vol. 27, pp. 45101. 4. P. H. Gregory, The Microbiology of the Atmosphere (Wiley, New York, ed. 2, 1973). 5. S. Sundberg, Ann. Bot. (London) 105, 291 (2010). 6. Materials and methods are available as supporting material on Science Online. 7. S. Nawaschin, Flora 83, 151 (1897). 8. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Univ. Press, Cambridge, 1967). 9. T. Maxworthy, J. Fluid Mech. 64, 227 (1974). 10. J. O. Dabiri, Annu. Rev. Fluid Mech. 41, 17 (2009). 11. This work was supported in part by NSF Major Research Instrumentation award 0722532. The authors thank D. C. Smith and C. D. Mitescu for comments; R. Andrus for species identification; and E. Chang, A. Conwill, C. Hard, M. Hirai, N. Mitchell, and N. Piatczyc for technical assistance. Supporting Online Material www.sciencemag.org/cgi/content/full/329/5990/406/DC1 Materials and Methods Fig. S1 References Movies S1 to S4 29 March 2010; accepted 26 May 2010 10.1126/science.1190179 BREVIA 1 Department of Physics and Astronomy, Pomona College, Claremont, CA 91711, USA. E-mail: dwight.whitaker@pomona. edu 2 Biology Department, Williams College, Williamstown, MA 01267, USA. E-mail: [email protected] Fig. 1. (A) Sphagnum affine capsule transformed from round to cylindrical. (B) A longitudinal section of a capsule showing spore distribution before ex- ploding. ( C) Trajectory of spore launch. The observed height (circles) and width (triangles) of the spore cloud versus time from video recorded at 4000 frames per s. Blue and green curves are predicted trajectories of a single spore ballistically launched through still air (6). (D) Sequential video frames of an exploding capsule recorded at 10,000 frames per s with 20-ms exposure. 23 JULY 2010 VOL 329 SCIENCE www.sciencemag.org 406 on November 11, 2014 www.sciencemag.org Downloaded from

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Page 1: Sphagnum Moss Disperses Spores with Vortex Rings

Sphagnum Moss Disperses Sporeswith Vortex RingsDwight L. Whitaker1 and Joan Edwards2

Sphagnum moss forms deep mats cover-ing over 1.5 million km2 or 1% of Earth’sland surface (1) and is important in the

global carbon cycle, potentially storing morecarbon than any other plant genus (2). With over285 species (3), often with specific microhabitats,long-distance spore dispersal by wind is criticalin maintaining this genus (1). To travel long dis-tances, Sphagnum spores must move through thelaminar boundary layer into the turbulent bound-ary layer (up to 10 cm above the ground), whereeddies can carry small particles upward and lat-erally (4). The terminal velocity of Sphagnumspores is 5 mm s−1 (5, 6), indicating that any up-draft exceeding this quantity is sufficient to holdthem aloft. However, spores with low terminalvelocities rapidly decelerate in still air, and dis-persal range depends on release height, whichis limited for this nonvascular plant. Here, weshow that the mechanism Sphagnum uses to pro-ject spores to heights suitable for dispersal is thegeneration of turbulent vortex rings: ellipsoidalbubbles of distributed, toroidal vorticity whose in-

ternal flow fields sustain their translational mo-tion (6).

To reach turbulent air, spores are explosivelyliberated. Our observations show that spores reachheights that cannot be explained by ballistic tra-jectories. On sunny days capsules dehydrate, andepidermal cells of the capsule body collapse lat-erally, causing capsules to change shape fromspherical to cylindrical (Fig. 1A) and increasing theinternal air pressure to between 200 and 500 kPa(7). Eventually pressure forces the cap to breakfree in under 10−5 s, vertically propelling the airand spores (Fig. 1D and movies S1 to S4) with anaverage launch velocity of 16 T 7 m s−1 (mean TSEM, n = 15, range from 7.9 to 29.8 m s−1) to amean height of 114 T 9 mm (mean T SEM, n = 12,range from 90 to 166 mm). These heights can-not be explained by ballistics. Spores launchedballistically with the measured initial velocity of13 m s−1 would reach a maximum height of only2 to 7 mm in under 0.5 ms. Whereas after 5 ms,spores traveled over 40 mm while still movingat 3 m s−1 (Fig. 1C).

High-speed videos indicate that the generationof turbulent vortex rings by exploding capsules isresponsible for the continued trajectory. The sud-den release of air and entrained spores from thecircular capsule opening provides the cylindricallysymmetric impulse required to generate vortexrings (8). The spores in the images reveal the char-acteristic mushroom cloud indicative of turbulentvortex rings (Fig. 1D and movies S2 and S3) (6).Spores uniformly distributed over a height of 1mmin the capsule (Fig. 1B) are concentrated to a heightof only 0.3mm in the vortex bubble that grows to aconstant width (Fig. 1C). The drag coefficient, CD,for the vortex bubble in Fig. 1C is between 0.06 and0.17 (6). This agrees with dragmeasured for vortexrings in water (CD = 0.09 T 0.01) (9) and indicatesthe efficiency with which Sphagnum vortex ringstravel through still air.

Vortex rings are commonly generated by animalssuch as jellyfish and squid for propulsion (10). Here,we report vortex rings generated by a plant. Theenhanced dispersal from vortex rings explains in partthe success of Sphagnum, a nonvascular plant thathas thrived even after the appearance of land plantswith the benefit of well-developed vascular systems.

References and Notes1. H. Rydin, J. Jeglum, The Biology of Peatlands (Oxford

Univ. Press, Oxford, 2006).2. R. S. Clymo, P. M. Hayward, Bryophyte Ecology,

A. J. E. Smith, Ed. (Chapman and Hall, New York, 1982).3. C. B. McQueen, R. E. Andrus, in Flora of North America North

of Mexico, Flora of North America Editorial Committee, Ed.(Oxford Univ. Press, Oxford, 2007), vol. 27, pp. 45–101.

4. P. H. Gregory, The Microbiology of the Atmosphere(Wiley, New York, ed. 2, 1973).

5. S. Sundberg, Ann. Bot. (London) 105, 291 (2010).6. Materials and methods are available as supporting

material on Science Online.7. S. Nawaschin, Flora 83, 151 (1897).8. G. K. Batchelor, An Introduction to Fluid Dynamics

(Cambridge Univ. Press, Cambridge, 1967).9. T. Maxworthy, J. Fluid Mech. 64, 227 (1974).

10. J. O. Dabiri, Annu. Rev. Fluid Mech. 41, 17 (2009).11. This work was supported in part by NSF Major Research

Instrumentation award 0722532. The authors thankD. C. Smith and C. D. Mitescu for comments; R. Andrusfor species identification; and E. Chang, A. Conwill,C. Hard, M. Hirai, N. Mitchell, and N. Piatczyc fortechnical assistance.

Supporting Online Materialwww.sciencemag.org/cgi/content/full/329/5990/406/DC1Materials and MethodsFig. S1ReferencesMovies S1 to S4

29 March 2010; accepted 26 May 201010.1126/science.1190179

BREVIA

1Department of Physics and Astronomy, Pomona College,Claremont, CA 91711, USA. E-mail: [email protected] 2Biology Department, Williams College, Williamstown, MA01267, USA. E-mail: [email protected]

Fig. 1. (A) Sphagnum affine capsule transformedfrom round to cylindrical. (B) A longitudinal sectionof a capsule showing spore distribution before ex-ploding. (C) Trajectory of spore launch. The observedheight (circles) and width (triangles) of the sporecloud versus time from video recorded at 4000frames per s. Blue and green curves are predictedtrajectories of a single spore ballistically launchedthrough still air (6). (D) Sequential video frames ofan exploding capsule recorded at 10,000 framesper s with 20-ms exposure.

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