provision of refuge volume by corals and simulation-based habitat equivalency analysis john w....

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Provision of Refuge Volume by Corals and Simulation-Based Habitat Equivalency Analysis John W. McManus 1 and Lisa C. McManus 2 1 National Center for Coral Reef Research University of Miami 2 Department of Ecology and Evolutionary Biology Princeton University

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Provision of Refuge Volume by Corals

and Simulation-Based

Habitat Equivalency Analysis

John W. McManus 1 and Lisa C. McManus 2

1 National Center for Coral Reef Research University of Miami

2 Department of Ecology and Evolutionary Biology Princeton University

Refuge Volume

xda-wallpapers.com

Steve Turek/Coral Reef Alliance Coral Reef Alliance

Requirements for Refuge

Volume Estimations

Estimation procedure should scale properly.

At a minimum, one should find a factor which is multiplied by a dimension cubed.

0 1 2 3 4 5 6 7 8 9 100

200

400

600

800

vol = cfd3

surf = cfd2

Dimension (e.g. radius)

Est

imat

e

Basic Shape Formulas  Surface Area Volume

Square --

Cube

Circle --

Semicircle --

Cylinder (no ends)

Sphere

Spherical Wedge

Not used

Hemisphere (no bottom)

Growth Form Surface Area Refuge Volume

Branching  

Columnar Small <10 cm    

Columnar Large 10+ cm    

Disc-Solitary   NA

Encrusting   NA

Foliose  

Massive

Plate

Table    

Mixed Plate-Column(such as often in

Porites rus)

Application of Refuge

Volume Estimationl Apra Harbor Guam will have

dredging impacting up to 1 sq. km of reef area – the largest US reef mitigation case so far.

l The map shows refuge volume available due to corals (larger circles mean more volume).

l Evaluation of substrate and other HAB contribution to local refuge volume is underway.

This information is being used to minimize

impacts and establish mitigation goals.

98 33 76 95 50 32 41 80 18 3 45 101 97 39 10 59 20 100 94 93 90 14 4 29 96 91 71 30 86 84 99 19 700

10

20

30

40

50

Bottom Cover

Site No.

m2

98 33 76 95 50 32 41 80 18 3 45 101 97 39 10 59 20 100 94 93 90 14 4 29 96 91 71 30 86 84 99 19 700

100

200

300

400

500

600

Surface Area

Site No.

m2

98 33 76 95 50 32 41 80 18 3 45 101 97 39 10 59 20 100 94 93 90 14 4 29 96 91 71 30 86 84 99 19 700

0.51

1.52

2.53

3.5

Refuge Volume

Site No.

m3

DigiReef for Habitat

Equivalency Analysis

(HEA)

Problems with Assuming

Linear Recovery

1 2 3 4 5 6 7 8 9 10 11 12 13 14 150

20

40

60

80

100

120

Years

Pe

rce

nt

Se

rvic

e V

alu

e

a

b

Simulation Parameters

l Coral growth rateu Used literature values

l Coral rate of instantaneous mortalityu Applied catch curves to size data by species and form

u Where necessary, combined similar species

l Coral rate of annual recruitmentu Used simple virtual population analysis

l Colony maximal dimensionu Based on maximal sizes in the site

Estimating Rates of Mortality

Estimating Rates of Mortality

Estimating Annual Recruitment

Age in Years or Radius in CentimetersYear 1 2 3 4 5 6 7 8 9 102001 100 61 37 22 14 8 5 3 2 12002 100 61 37 22 14 8 5 3 2 12003 100 61 37 22 14 8 5 3 2 12004 100 61 37 22 14 8 5 3 2 12005 100 61 37 22 14 8 5 3 2 12006 100 61 37 22 14 8 5 3 2 12007 100 61 37 22 14 8 5 3 2 12008 100 61 37 22 14 8 5 3 2 12009 100 61 37 22 14 8 5 3 2 12010 100 61 37 22 14 8 5 3 2 1

Empirical: 1000 610 370 220 140 80 50 30 20 10

DigiReef Inputs: Site 93

Recruitment (settled corals per year)   Battle skill (relative hierarchy)   Growth rate (cm / y)   Instantaneous mortality   Volume factor   Maximum radiusPavona decussata 3 1 4 0.127 0.393 20  Pocillopora damicornis 2 2 3 0.12 0.126 20  Porites cylindrica 2 3 3 0.025 0.126 10  Porites lutea 1 4 2 0.122 0.011 20  Porites rus 1 3 2 0.027 0.21 30  

Color SpeciesBlue  Pavona  decussataRed Pocillopora  damicornisYellow Porites  cylindricaViolet Porites luteaOrange Porites rus

Simulated Regrowth: Site 93

0 20 40 60 80 100 1200

200

400

600

800

10000 20 40 60 80 100 120

0

500

1000

1500

2000

0 20 40 60 80 100 1200%

20%

40%

60%

80%

0 20 40 60 80 100 1200

50

100

150

200Individuals per species

Spectra of sizes of massive corals( Porites lutea )

Spectra of refuge volumes

Total coral cover

Years of simulated regrowth

Ma

nh

att

an

Me

tric

Dis

tan

ce

Pe

rce

nt

Co

ral

Co

ve

r

Ma

nh

att

an

Me

tric

Dis

tan

ce

Conclusions I

l Refuge volume is an important metric for quantifying ecosystem function.

l It can be associated with corals, other habitat structuring benthos, and the substrate itself.

l It is not necessarily well correlated with coral cover or surface area indices.

l Estimation procedures still require improvements from field and laboratory measurements.

Conclusions II

l DigiReef simulation can improve the basis for the determination of compensatory requirements in mitigation cases.

l Coral mortality and recruitment can be roughly approximated via fishery analytical methods.

l For one particular site, the original coral cover and size spectra of massive corals was optimally achieved, and community structure was nearly optimally achieved, within 40 years.

l The spectrum of available refuge volumes was replicated within 8 years, because most was due to small branching and foliose coral colonies. These results will vary in different coral communities.

Acknowledgements

Our thanks to:u Deborah Shafer and others at the US Army Corps

of Engineers, Engineer Research and Development Center.

u US Navy, NOAA, US EPA, Gov. Guam, others, especially Steve Kolinski

u HDR-EOC and CSA International Consultancy Firms

u Dr. Yimnang Golbuu and others for field work

Thank you.