Ecological Archives E089-182-A7

Jean-Sébastien Lauzon-Guay, Robert E. Scheibling, and Myriam A. Barbeau. 2008. Formation and propagation of feeding fronts in benthic marine invertebrates: a modeling approach. Ecology 89:3150–3162.

Appendix G. List of parameter values used in Model 2 for sea urchins Strongylocentrotus droebachiensis.

TABLE G1. Symbols, values, range or standard error (in parentheses), units, and references for parameters used in Model 2 for Strongylocentrotus droebachiensis.

Parameter

Symbol

Value

Unit

       

Individual urchin grazing rate

g

1.35
(0.45 – 2.26)

g of kelp · urchin-1 · d-1

Carrying capacity of kelp

K

4000

g/m2

       

Intrinsic rate of growth of kelp§

r

0.0061
(0.0002)

ln(d-1)

Urchin weight at the front||

c

49.2
(1.5)

g

Feeding threshold ratio

T

0.5

-

Grazing function

H

-

g of kelp · urchin-1 · d-1

Kelp biomass

S(x,t)

-

g/m2

Urchin density

U(x,t)

-

ind./m2

Food dependent redistribution kernel

ks

-

-

Gaussian redistribution kernel

G

-

-

Dirac delta function

δ

-

-

Mean of displacement distribution

μ

0

m

Standard deviation of displacement distribution

σ

1.33

m

Scheibling et al 1999; Mohn and Miller 1987; §Mann 1972; ||Lauzon-Guay and Scheibling 2007; Dumont et al. 2006

LITERATURE CITED

Dumont, C. P., J. H. Himmelman, and M. P. Russell. 2006. Daily movement of the sea urchin Strongylocentrotus droebachiensis in different subtidal habitats in eastern Canada. Marine Ecology Progress Series 317:87–99.

Lauzon-Guay, J.-S. and R. E. Scheibling. 2007. Behaviour of sea urchin (Strongylocentrotus droebachiensis) grazing fronts: food-mediated aggregation and density-dependent facilitation. Marine Ecology Progress Series 329:191–204.

Mann, K. H. 1972. Ecological energetic of the sea-weed zone in a marine bay on the Atlantic coast of Canada . II. Productivity of the seaweeds. Marine Biology 14:199–209.

Mohn, R. K. and R. J. Miller. 1987. A ration-based model of a seaweed sea-urchin community. Ecological Modelling 37:249–267.

Scheibling, R. E., A. W. Hennigar, and T. Balch. 1999. Destructive grazing, epiphytism, and disease: the dynamics of sea urchin-kelp interactions in Nova Scotia. Canadian Journal of Fisheries and Aquatic Sciences 56:2300–2314.


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