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Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus, Andrew O. Finley, Pat A. Soranno, Tyler Wagner Michigan Inland Lakes Convention April 2016

Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

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Page 1: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Big data informing lake ecology: Case study on nutrient and water color effects on lake primary 

production

C. Emi Fergus, Andrew O. Finley, Pat A. Soranno, Tyler Wagner

Michigan Inland Lakes ConventionApril 2016

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Lakes in the landscape

Michigan over 10,000 inland lakes (>4 ha in size)

U.S. estimated over 120,000 inland lakes 

MI Lake and Stream Associations, Inc.

Page 3: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Lakes in the landscape

Michigan over 10,000 inland lakes (>4 ha in size)

U.S. estimated over 120,000 inland lakes 

How can we effectively study and manage them?

MI Lake and Stream Associations, Inc.

Page 4: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Landscape limnology

The spatially explicit study of lakes, streams, and wetlands as they interact with freshwater, terrestrial, and human landscapes …to affect lake characteristics. Soranno et al. 2010

Page 5: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Principles

Soranno et al. 2010. BioScience

Patch characteristics

Patch context

Patch connectivity & directionality

Spatial scale & hierarchy

www.fw.msu.edu/~LLRG

Landscape limnology

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http://michpics.wordpress.com/2009/12/19/michigan‐farming‐and‐other‐success‐stories/

http://www.visitusa.com/maine

Landscape limnology

Riparianchar.

Soils

Land cover/use 

Geology 

Climate

Region

alLocal

Scale an

d hierarchy

Lake characteristics

Page 7: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Novel questions and perspectives

• Regional variation• Broad‐scale disturbance effects• Prediction• Temporal trends

Page 8: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Harnessing ‘Big Data’ to address lake questions

Page 9: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Harnessing ‘Big Data’ to address lake questions

Page 10: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Overall Goals

• More holistic understanding of lake ecology 

• Provide information to guide management and conservation action

Page 11: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Case study

Lake nutrient and water color effects on lake primary production

Page 12: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Drivers of lake primary production

Nutrients Light

PhytoplanktonBulk of 1°

production in lakes

Page 13: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

TP ~ Chlorophyll a relationship

https://www.iisd.org/ela/ecosystem‐experimentation

Phosphorus

Chloroph

yll a

Page 14: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Revisiting the TP ~ Chlorophyll relationship

TP ~ CHL

Spatial variation in relationships

Wagner et al. 2011

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Colored dissolved organic carbon (water color)

http://www.ualberta.ca/ERSC08/water/climate/impacts6.htmhttp://recon.sccf.org/definitions/cdom.shtml

• Humic substances primarily from surrounding landscape  

• Alters physical, chemical, and biological environment

Page 16: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Colored dissolved organic carbon (Water Color)

• Nutrients bound to humic compounds

Light

• Weakens light• Shades algae

O OH

O PP

P

Negative effects Positive effects

Page 17: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Nutrient‐water color paradigm

ColorTP

Chlorophyll

Light environment

Nutrient Light

( + )

(–)

( + )

(+)

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Important to understand in time of global change

Nutrient

DOC

http://www.peak‐light.com/black‐clough

Page 19: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Landscape nutrient and carbon sources

http://www.garthlenz.com/industrial‐landscape/agriculture/Ches‐Lancaster‐8436

http://blogs.ubc.ca/thearodgers/2015/05/03/impacts‐of‐climate‐change‐on‐carbon‐emissions‐from‐canadian‐peatlands/

• Agriculture –nutrient source

• Wetlands & Forest –carbon source

Page 20: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Agriculture

Spatial Nutrient‐water color paradigm

ColorTP

Chlorophyll

Light environment

Nutrient Light

( + )

(–)

( + )

( + )

Wetlands

( + )( + )

Landscape variables

Page 21: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Agriculture

Spatial Nutrient‐water color paradigm

ColorTP

Light environment

Nutrient Light

Chlorophyll

Wetlands

( + )( + )

Landscape variables

Lake variables

LakeDepth

( – ) 

Page 22: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Agriculture

Spatial Nutrient‐water color paradigm

ColorTP

Light environment

Nutrient Light

Chlorophyll

Wetlands

( + )( + )

Landscape variables

Lake variables

LakeDepth

LakeConnectivity

( – )  Lake( + )

Page 23: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

1) Do TP and Water Color effects on Chlorophyll vary over space? 

2) If so, are there lake and landscape variables that account for variation in these relationships?

Research questions

Page 24: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Subset of lakes from LAGOSN = 779 lakesComplete records for Chl, TP, Color, and lake depth

LAGOS: Lake Multi‐Scaled Geospatial Databasehttp://csilimno.cse.msu.edu

Soranno, et al. 2015. Gigascience

Lake database

Page 25: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Spatially‐varying coefficient model

Co‐authors: quantitative ecologists with mad statistical skills

CHL

TP

CHL

Color

?

Page 26: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Spatially‐varying coefficient model

= Intercept, TP, and Water Color

Spatially‐varying coefficients

CHL

CHL

Page 27: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Spatially‐varying coefficient model

Spatially‐varying coefficients

Stationary coefficients

Hypothesized landscape & lake variables• Lake depth• Catchment: Lake Area ratio• Agriculture• Wetland• Lake connectivity type (isolated vs. drainage)

Page 28: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Q1) Spatial variation in TP & Color effects? 

M1: CHL ~  Intercept + TP + Color  

Spatially‐varying

CHL

MNULL: CHL ~ Intercept + TP + Color 

Non‐spatialCH

L Vs.

Evaluated using model fit criteria G = goodness of fit; P = penalty; D = model criteria

Gelfand and Gohosh 1998

Page 29: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Results: Q1

Model G P DNull 5456.0 5435.2 10891.31 4736.4 4502.9 9239.4

Lower is better

Page 30: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Results: Q1

Model G P DNull 5456.0 5435.2 10891.31 4736.4 4502.9 9239.4

M1 Intercept

Lower is better

Page 31: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Results: Q1

Model G P DNull 5456.0 5435.2 10891.31 4736.4 4502.9 9239.4

M1 InterceptNull Model Intercept

Lower is better

Page 32: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Results: Q1

M1: Chl ~ TP Slopes

Page 33: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Results: Q1

M1: Chl ~ TP Slopes M1: Chl ~ Color Slopes

Page 34: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Conclusions: Q1

Lake Chlorophyll exhibits spatial variation even after accounting for TP & Color

• Landscape, lake, & other spatial variables may explain remaining spatial variation

TP effects on Chlorophyll vary over space but Color effects were not significant for most lakes

• TP is primary driver of lake productivity in Upper Midwest and NE U.S. 

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Q2) Lake & landscape drivers of variation

Agriculture

ColorTP

Light environment

Nutrient Light

Chlorophyll

Wetlands

( + )( + )

Landscape variables

Lake variables

LakeDepth

LakeConnectivity

( – )  Lake( + )

M1: CHL ~ Intercept + TP + Color  

Spatially‐varying

Page 36: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Q2) Lake & landscape drivers of variation

Agriculture

ColorTP

Light environment

Nutrient Light

Chlorophyll

Wetlands

( + )( + )

Landscape variables

Lake variables

LakeDepth

LakeConnectivity

( – )  Lake( + )

M1: CHL ~ Intercept + TP + Color  

Spatially‐varying

M2: CHL ~ Intercept + TP + Color + Depth + CA:LK + AGR + WET

Page 37: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Q2) Lake & landscape drivers of variation

Agriculture

ColorTP

Light environment

Nutrient Light

Chlorophyll

Wetlands

( + )( + )

Landscape variables

Lake variables

LakeDepth

LakeConnectivity

( – )  Lake( + )

M3: CHL ~ Intercept + TP + Color + Depth + CA:LK + AGR + WET + Connectivity 

Spatially‐varying

M1: CHL ~ Intercept + TP + Color  

M2: CHL ~ Intercept + TP + Color + Depth + CA:LK + AGR + WET

Page 38: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Results: Q2

M G P D1 4736.4 4502.9 9239.42 4667.8 4508.4 9176.23 4593.7 4495.0 9088.8

M3: CHL ~ Intercept + TP + Color + Depth + CA:LK + AGR + WET + Connectivity 

Spatially‐varying

M1: CHL ~ Intercept + TP + Color  

M2: CHL ~ Intercept + TP + Color + Depth + CA:LK + AGR + WET

Page 39: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Model 3: Global parameter estimates

Spatially‐varying Fixed over space

β0TPβ1

Colorβ2

Depthβ3

CA:LKβ4

AGRβ5

WETβ6

Lake Typeβ7

‐0.48(‐0.6 – ‐0.3)

0.68 (0.5 – 0.7)

0.01(‐0.09 – 0.13)

‐0.01 (‐0.01 – ‐0.01)

‐0.0003(‐0.0005 –‐0.0001)

0.51 (0.2 – 0.8)

0.13(‐0.34 – 0.65)

0.22 (0.1 – 0.3)

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Comparing model with lake & landscape covariates

MODEL 3: Intercept

Page 41: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Comparing model with lake & landscape covariates

MODEL 3: InterceptMODEL 1: Intercept

Page 42: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Comparing model with lake & landscape covariates

MODEL 3: TP SlopeMODEL 1: TP Slope

Page 43: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Comparing model with lake & landscape covariates

MODEL 1: Color Slope MODEL 3: Color Slope

Page 44: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Conclusions: Q2

Hypothesized lake and landscape variables account for spatial variation

Agriculture

ColorTP

Light environment

Nutrient Light

Chlorophyll

Wetlands

( + )( + )

Landscape variables

Lake variables

LakeDepth

LakeConnectivity

( – )  Lake( + )

• To a great deal for Chlorophyll 

• Moderately for CHL~TP 

• And less for CHL~Color

Page 45: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Conclusions: Q2

BUT spatial variation remains• Scale of variation remaining – help identify 

potential predictors to consider for future models

Chlorophyll remaining variation CHL~TP Effects

Page 46: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

Big data informing lake ecology

• Evaluate existing theory• Help meet management and conservation goals

• Assess lake water quality and ecological health• Set regional restoration targets

Page 47: Big data informing lake ecology: Case on nutrient and ... · Big data informing lake ecology: Case study on nutrient and water color effects on lake primary production C. Emi Fergus,

AcknowledgementsFunding: NSF Macrosystems Ecology

Database support: Ed Bissell

Special thanks: CSI Limnology Team, MSU Limnology Lab