Abstract
Mathematical and simulation models provide an excellent tool for examining and predicting biological invasions in time and space; however, traditional models do not incorporate dynamic rates of population growth, which limits their realism. We developed a spatially explicit simulation model that allows patch or population growth rate to change with population size through the incorporation of field data. We used the model to evaluate the invasion of a west coast estuary by the non-indigenous Japanese eelgrass, Zostera japonica (Zosteraceae). Specifically, we tested the relative importance of stochastic, abiotic disturbance, interspecific competition, and vegetative and seedling survival. Our model predicted that vegetative shoot and seedling survival limited by competition are the most important limiting factors for Z. japonica growth, although stochastic disturbance was also a limiting factor. Population cycles and patchy distribution were also predicted, with the eelgrass apparently coexisting with the competitor. The model should be applicable to a variety of invasive species, with various types of disturbance and limiting factors.
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Acknowledgment
This research was financially supported by a Research Associateship from the National Research Council awarded to KNA. We are grateful to Charlotte T. Lee for help with the initial programming of the model and Pat Clinton of the Coastal Ecology Branch of the Environmental Protection Agency for GIS maps of Sally’s Bend and help with fractal dimension analysis. We thank Mohamed Abdelrhman, Charlotte Lee and Eric Singsaas for helpful comments on an earlier draft of the manuscript. KNA also thanks Dr. Alan J. Kohn for research and writing space during a time of need.
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Appendix
Appendix
A: Methods and Data Table for Patch Expansion of Zostera japonica in the field
In November 1998, we located, marked and measured 54 extant patches of Z. japonica in Yaquina Estuary. We estimated patch area by measuring the lengths and angles of each side, thus establishing polygons. One year later we measured the patches again to determine change in patch area. Presented in the table below are the raw data we used to fit a regression model, given in the manuscript. Initially we detected a strong relationship between original patch area and change in area after one year (R 2 = 0.66); however, these data did not meet the assumption of homogenous variance, so we ln-transformed the data for the regression equation given in the manuscript. Mean change in patch area for one year, all patches, was approximately 6 m2 (SE = 4.18); without the three greatest outliers, mean change in patch area was 3.2 m2 (SE = 0.82).
B: Methods and Data Table for Seed Dispersal of Zostera japonica in the field
Sediment cores (10 cm diameter, 30 cm depth) were collected at six different sites within Yaquina Estuary from seven different distances away from the parent patch: 1, 2, 5, 10, 15, 20, and 30 m. For each distance at each site we collected two cores. We sifted through sediments in the lab with a series of mesh strainers to isolate Z. japonica seeds. Average number of seeds found per core at each distance is listed in the table below. Seeds were never found in the field past 15 m, so for the regression analysis, we disregarded any distances past 15 m.
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Almasi, K.N., Eldridge, P.M. A Dynamic Model of an Estuarine Invasion by a Non-Native Seagrass. Estuaries and Coasts: J CERF 31, 163–176 (2008). https://doi.org/10.1007/s12237-007-9024-5
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DOI: https://doi.org/10.1007/s12237-007-9024-5