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Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

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Page 1: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Extending GIS with Statistical Modelsto Predict Marine Species Distributions

Zach Hecht-LeavittNY Department of State

Division of Coastal Resources

Page 2: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Offshore Planning

NJ

NY

Long Island

Page 3: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Goals

• Predict the abundance of selected groundfish species as a function of:–environmental/habitat variables– spatial autocorrelation

• Assess error

• Understand ecology

Page 4: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Goals

Page 5: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

• NOAA Northeast Fisheries Science Center bottom trawl (catches groundfish)

• Biannual 1975-2009• Standardized gear,

speed, and distance• Cleaned by Stone

Environmental• Break down by season

and life stage• 6 species selected

The Fish Data

NOAA NEFSC NOAA NEFSC

Page 6: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

The Environmental Data

• Depth• Distance from Shelf Edge• Bottom Grain Size• Slope• Sea Surface Temperature*• Chlorophyll*• Stratification*• Turbidity*• Zooplankton*• Provided by NOAA

Biogeography Branch*Long-term, seasonal average

Page 7: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Data Exploration

• Approximate environmental relationships with linear trend• Data is extremely skewed (lots of zeroes)• Go with Zero-Inflated Generalized Linear Models (GLMs)

Adul

t Flu

ke C

ount

Page 8: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Workflow

.CSV

Y=B1X1+B2X2…

• “Loose” coupling• With 10.x can “hard” couple via Geospatial

Modeling Environment (GME)

zeroinfl(), Achim Zeileis

Page 9: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

B1 * B3 *B2 * =++

Workflow

Page 10: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

The Residual

+4

+2

-1

+1

+2+3

+5

-4

-3

-9

Page 11: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Kriging Interpolation

Page 12: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Modeling Steps

=+

+ Error (unexplained variation)

Predictors (GLM) + Residual (kriging) = Mean Expectation

Page 13: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Error Assessment

+2

-1 +2

+3

-4

-3

Page 14: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Error Assessment

• 50/50 cross-validation• Smooth error with moving window• Final maps based on full dataset• Conservative error estimates

Page 15: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

L

LL

M

H

Final product (fluke example)

Page 16: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Goals

• Predict the abundance of selected groundfish as a function of:–environmental/habitat variables– spatial autocorrelation

• Assess error

• Understand ecology

Page 17: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Another Approach to Dealing with Zeroes

Page 18: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Another Approach

• Rather than a one-size-fits all model…

• … model presence/absence and abundance with two separate stages

• May better reflect ecological reality

• More conservative approach

Page 19: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Goals

• Predict the abundance of selected cetaceans as a function of:– spatial autocorrelation

• Assess error

Page 20: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

The Marine Mammal Data

• North Atlantic Right Whale Consortium Database

• Aerial and shipboard surveys, 1978 - 2009

• Cleaned by New England Aquarium

• SPUE• 4 species/groups

selected• No predictors this time!

NOAA SWFSC

NOAA SWFSC

Page 21: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Stage I – Presence/Absence

4

0

0

0

1

3

5

0

4

2 4

2

3

4 0

0

2

0

0

1

0

0

0

1

1

1

0

1

1 1

1

1

1 0

0

1

0

0

1

0

0

0

1

1

1

0

1

1

Page 22: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Stage I – Presence/Absence

1

0

0

0

1 1

1

0

1

1

ROC CurveEpi package,Carstensen et. al.

Page 23: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Stage I * II – Abundance Where Present

Page 24: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Error Assessment

Page 25: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Goals

• Predict the abundance of selected cetaceans as a function of:– spatial autocorrelation

• Assess error

Page 26: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

End goal

Page 27: Extending GIS with Statistical Models to Predict Marine Species Distributions Zach Hecht-Leavitt NY Department of State Division of Coastal Resources

Further reading• Hengl, T., G.B.M. Heuvelink and D.G. Rossiter. 2007. About regression-

kriging: From equations to case studies. Computers and Geosciences 33:1301-1315.

• Wenger, S. J. and M. C. Freeman. 2008. Estimating Species Occurrence, Abundance, And Detection Probability Using Zero-Inflated Distributions. Ecology 89:2953-2959

• Monestiez, P., L. Dubroca, E. Bonnin, J.-P. Durbec, C. Guinet. 2006. Geostatistical modeling of spatial distribution of Balaenoptera physalus in the Northwestern Mediterranean Sea from sparse count data and heterogeneous observation efforts. Ecological Modeling, 193: 615-628.

• Menza, C., B.P. Kinlan, D.S. Dorfman, M. Poti and C. Caldow (eds.). 2012. A Biogeographic Assessment of Seabirds, Deep Sea Corals and Ocean Habitats of the New York Bight: Science to Support Offshore Spatial Planning. NOAA Technical Memorandum NOS NCCOS 141. Silver Spring, MD. 224 pp.