AJPS  Vol.5 No.24 , November 2014
Estimation of the Probability of Long-Distance Dispersal: Stratified Diffusion of Spartina alterniflora in the Yangtze River Estuary
Abstract: The relative contribution of long-distance dispersal and local diffusion in the spread of invasive species has been a subject of much debate. Invasion of the intertidal mudflats by Spartina alterniflora is an ideal example of stratified diffusion, involving both long-distance dispersal of seeds and local diffusion due to clonal growth. In conjunction with experimental data on range radius-versus-time curve, a traveling wave equation-based model is used to investigate the sensitivity of the spread rate of exotic S. alterniflora to parameters of long distance dispersal (c, maximum colonial establishment rate) and local colony diffusion (r, intrinsic growth rate) at two tidal marshes, the Eastern Chongming and the Jiuduansha Islands, at the Yangtze River estuary. Both Eastern Chong ming and Jiuduansha Islands are now national natural reserves in China, which were established in 2005. However, the mudflats and salt marshes in the two reserves are now heavily infested with introduced S. alterniflora, which may threaten the estuarine ecosystems and their biodiversity. S. alterniflora was first found in 1995 on Chongming. For rapid sediment accretion in mudflats in the estuary, S. alterniflora was also intentionally introduced to Jiuduansha in 1997 and Chongming in 2001, which has led to a rapid range expansion in the estuary. Our results show that range expansion of species with stratified diffusion is affected by both long-distance dispersal and local colony diffusion, and that there is a critical c*, below which the spread rate is more influenced by long-distance dispersal than by local diffusion. After applying this model to the invasion of S. alterniflora in the Yangtze River estuary, we derive that c = 1.7 × 10-3, c* = 0.126 and c = 4.8 × 10-3 km-2·yr-1, c* = 0.140 km-2·yr-1 at Chongming and Jiuduansha (Shanghai), respectively. Our results suggest that the range spread of S. alterniflora in the Yangtze River estuary is more influenced by long-distance dispersal than local colony diffusion, and that S. alterniflora generates about 1.7 × 10-3 to 4.8 × 10-3 colonies per square kilometers per year. This study provides important information about dispersal dynamics of S. alterniflora that may be useful for finding optimal control strategies. ·
Cite this paper: Yang, W. , Wang, Q. , Pan, X. and Li, B. (2014) Estimation of the Probability of Long-Distance Dispersal: Stratified Diffusion of Spartina alterniflora in the Yangtze River Estuary. American Journal of Plant Sciences, 5, 3642-3651. doi: 10.4236/ajps.2014.524380.

[1]   Ayres, D.R., Smith, D.L., Zaremba, K., Klorh, S. and Strong, D.R. (2004) Spread of Exotic Cordgrasses and Hybrids (Spartina sp.) in the Tidal Marshes of San Francisco Bay, California, USA. Biological Invasions, 6, 221-231.

[2]   Hastings, A., Cuddington, K., Davies, K.F., Dugaw, C.J., Elmendorf, S., Freestone, A., Harrison, S., Holland, M., Lambrinos, J., Malvadkar, U., Melbourne, B.A., Moore, K., Taylor, C.M. and Thomson, D. (2005) The Spatial Spread of Invasion: New Developments in Theory and Evidence. Ecology Letter, 8, 91-101.

[3]   Havel, J.E., Shurin, J.B. and Jones, J.R. (2002) Estimating Dispersal from Patterns of Spread: Spatial and Local Control of Invasion by Daphnia lumholtzi in Missouri Lakes. Ecology, 83, 3306-3318.[3306:EDFPOS]2.0.CO;2

[4]   Higgins, S.I., Richardson, D.M. and Cowling, R.M. (1996) Modeling Invasive Plant Spread: The Role of Plant-Environment Interactions and Model Structure. Ecology, 77, 2043-2054.

[5]   Huang, H.M., Zhang, L.Q., Guan, Y.J. and Wang, D.H. (2008) A Cellular Automata Model for Population Expansion of Spartina alterniflora at Jiuduansha Shoals. Estuary Coast Shelf Sciences, 77, 47-55.

[6]   Fisher, R.A. (1937) The Wave of Advance of Advantageous Genes. Annals of Eugenics, 7, 355-369.

[7]   Skellam, J.G. (1951) Random Dispersal in Theoretical Populations. Biometrika, 38, 196-218.

[8]   Weber, E. (1998) The Dynamics of Plant Invasions: A Case Study of Three Exotic Goldenrod Species (Solidago L.) in Europe. Journal of Biogeography, 25, 147-154.

[9]   Shigesada, N., Kawasaki, K. and Takeda, Y. (1995) Modeling Stratified Diffusion in Biological Invasions. American Naturalist, 146, 229-251.

[10]   Buchan, L.A.J. and Padilla, D.K. (1999) Estimating the Probability of Long-Distance Overland Dispersal of Invading Aquatic Species. Ecological Applications, 9, 254-265.[0254:ETPOLD]2.0.CO;2

[11]   Jules, E.S., Kauffman, M.J., Ritts, W.D. and Carroll, A.L. (2002) Spread of an Invasive Pathogen over a Variable Landscape: A Nonnative Root Rot on Port Orford Cedar. Ecology, 83, 3167-3181.[3167:SOAIPO]2.0.CO;2

[12]   Suarez, A.V., Holway, D.A. and Case, T.J. (2001) Patterns of Spread in Biological Invasions Dominated by Long-Distance Jump Dispersal: Insights from Argentine Ants. Proceedings of the National Academy of Sciences of the United States of America, 98, 1095-1100.

[13]   Havel, J.E., Shurin, J.B. and Jones, J.R. (2002) Estimating Dispersal from Patterns of Spread: Spatial and Local Control of Lake Invasions. Ecology, 83, 3306-3318.[3306:EDFPOS]2.0.CO;2

[14]   Wiser, S.K., Allen, R.B., Clinton, P.W. and Platt, K.H. (1998) Community Structure and Forest Invasion by an Exotic Herb over 23 Years. Ecology, 79, 2071-2081.[2071:CSAFIB]2.0.CO;2

[15]   Holway, D.A. (1998) Factors Governing Rate of Invasion: A Natural Experiment Using Argentine Ants. Oecologia, 115, 206-212.

[16]   Lonsdale, W.M. (1993) Rates of Spread of an Invading Species: Mimosa Pigra in Northern Australia. Journal of Ecology, 81, 513-521.

[17]   Wang, Q. (2007) The Dynamics of Plant Community Distribution of the Salt Marshes in the Yangtze River Statuary as Influenced by Spartina alterniflora Invasions. Ph.D. Dissertation, Fudan University, Shanghai.

[18]   Metcalfe, W.S., Ellison, A.M. and Bertness, M.D. (1986) Survivorship and Spatial Development of Spartina alterniflora Loisel. (Gramineae) Seedlings in a New England Salt Marsh. Annals of Botany, 58, 249-258.

[19]   Wang, Q., An, S.Q., Ma, Z.J., Zhao, B., Chen, J.K. and Li, B. (2006) Invasive Spartina alterniflora: Biology, Ecology and Management. Acta Phytotaxonomica Sinica, 44, 559-588. (In Chinese, with English abstract)

[20]   Tang, L. (2008) Control of Spartina alterniflora by an Integrated Approach of Clipping, Waterlogging and Ecological Replacement with Reed: An Experimental Study of Ecological Mechanism. Ph.D. Thesis, Fudan University, Shanghai.

[21]   Li, B., Liao, C.Z., Zhang, X.D., Chen, H.L., Wang, Q., Chen, Z.Y., Gan, X.J., Wu, J.H., Zhao, B., Ma, Z.J., Cheng, X.L., Jiang, L.F. and Chen, J.K. (2009) Spartina alterniflora Invasions in the Yangtze River Estuary, China: An Overview of Current Status and Ecosystem Effects. Ecological Engineering, 35, 511-520.

[22]   Grevstad, F.S. (2005) Simulating Control Strategies for a Spatially Structured Weed Invasion: Spartina alterniflora (Loisel) in Pacific Coast Estuaries. Biological Invasions, 7, 665-677.

[23]   Taylor, C.M. and Hastings, A. (2004) Finding Optimal Control Strategies for Invasive Species: A Density-Structured Model for Spartina alterniflora. Journal of Applied Ecology, 41, 1049-1057.

[24]   Wang, C.H., Tang, L., Fei, S.F., Wang, J.Q., Gao, Y., Wang, Q., Chen, J.K. and Li, B. (2009) Determinants of Seed Bank Dynamics of Two Dominant Helophytes in a Tidal Salt Marsh. Ecological Engineering, 35, 800-809.

[25]   Sayce, K., Dumbauld, B. and Hidy, J. (1997) Seed Dispersal in Drift of Spartina alterniflora. 2nd International Spartina Conference, Pullman, 27-31.

[26]   Davis, H.G., Taylor, C.M., Civille, J.C. and Strong, D.R. (2004) An Allee Effect at the Front of a Plant Invasion: Spartina in a Pacific Estuary. Journal of Ecology, 92, 321-327.

[27]   Feist, B.E. and Simenstad, C.A. (2000) Expansion Rates and Recruitment Frequency of Exotic Smooth Cordgrass, Spartina alterniflora (Loisel), Colonizing Unvegetated Littoral Flats in Willapa Bay, Washington. Estuaries, 23, 267-274.

[28]   Sharov, A.A. and Liebhold, A.M. (1998) Model of Slowing the Spread of Gypsy Moth (Lepidoptera: Lymantriidae) with a Barrier Zone. Ecological Applications, 8, 1170-1179.[1170:MOSTSO]2.0.CO;2

[29]   Okubo, A. and Levin, S.A. (2002) Diffusion and Ecological Problems: Modern Perspectives. Springer-Verlag, New York.

[30]   Chen, Z.Y., Li, B., Zhong, Y. and Chen, J.K. (2004) Local Competitive Effects of Introduced Spartina alterniflora on Scirpus mariqueter at Dongtan of Chongming Island, the Yangtze River Estuary and Their Potential Ecological Consequences. Hydrobiologia, 528, 99-106.

[31]   Zhang, D., Yang, M.M., Li, J.X. and Chen, X.Y. (2006) Vegetative Dispersal Ability of Spartina alterniflora in Eastern End of Chongming Island. Journal of East China Normal University, 130-135.

[32]   Hastings, A., Halla, R.J. and Taylor, C.M. (2006) A Simple Approach to Optimal Control of Invasive Species. Theoretical Population Biology, 70, 431-435.