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Although several simulation models are currently being used among research-ers to predict water quality e.g., BASINS [Better Assessment Science Integrating Point and Non-Point Sources],

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12

of Lake Nitrogen,

Phosphorus, and

Sediment Concentrations Based on Land Use/Land Cover Type and Pattern

Pariwate Varnakovida, Narumon Wiangwang, Joseph P Messina, and Jiaguo Qi

12.1 INTRODUCTION

In watershed management and planning, one of the major problems in lakes is the

types, such as “cropland” and “urban”, are associated with human activities and their

resources are unequivocally linked The type and the intensity of land use have a

Since agricultural land is dominant in many watersheds of the upper Midwest

of the United States, it is considered a leading source for nonpoint source pollut-ants, primarily sediments and nutrients Agricultural erosion occurs when fields are cleared of vegetation to prepare for crop planting The physical erosion potential of some soil types, such as fine sandy loam, may be exacerbated by nonconservation agricultural practices, which may reduce the soil’s chemical fertility The angle and length of slopes on the land also influence the rate and amount of runoff, and in turn influence erosion As soil fertility declines, farmers tend to increase their application

of fertilizers This intensive application of fertilizer then becomes a major source of

Urbanization is another factor that impacts water quality Catchment or

impervious area is any area that no longer allows rainfall to soak into the ground, such as roads, sidewalks, rooftops, and driveways When a site is developed, it loses its natural storage potential for rainfall Consequently, rain that previously infiltrated

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into the ground evaporates or transpires, and rain that was temporarily stored in depressions and tree canopies now rapidly runs off the site

Previous studies on lake eutrophication have focused either on external loadings

or internal processes Studies of external sources are generally limited to a single

the effects of all the potential pollutant sources it is necessary to model the entire ecosystem leading to the in-lake effects System modeling and simulation is one of the best alternatives to urban lake monitoring and water quality studies

Although several simulation models are currently being used among research-ers to predict water quality (e.g., BASINS [Better Assessment Science Integrating Point and Non-Point Sources], AGNPS [Agricultural Non-Point Source], and WASP [Water Quality Analysis Simulation Program]), most are either scale dependent or have extensive input data requirements Therefore, for this study, we constructed the NPSSIM (nitrogen, phosphorus, and sediment simulation) model to predict TN (total nitrogen), TP (total phosporus), and TSS (total sediment) concentration in lakes based on surrounding LULC types and patterns with the express desire to manage scale and data problems, such as the interaction among local and regional processes

Most other models simulate output based on only one continuous landscape (e.g., a watershed or a region) NPSSIM differs from other models in three main ways First, the simulation is based on a lakeshed scale Only the lake and the sur-rounding land that drain into it are used in the model The model treats lakes as a single entity; therefore, lakes from different locations, such as lakes in Michigan and lakes in Wisconsin, are no different Nutrients and sediment from different lakes across landscapes can be simulated and compared in one step Second, the model uses landscape metrics as the main approach Landscape metrics are known

to be able to describe characteristics of land use/land cover It is also capable of comparing LULC from different locations through the landscape neutral model NPSSIM is therefore truly spatial scale independent because as long as DEM (digi-tal elevation model), LULC, soil type, and rainfall data are available on the same spatial resolution (e.g., 30 m for LANDSAT TM+ and 30 m NEDDEM), the model can simulate nutrient concentration regardless of the lake location Even if spatial resolutions of the data are inconsistent, grain size adjustment is uncomplicated Third, NPSSIM requires fewer input data than most other distributed watershed models Although the model requires fewer inputs, it certainly incorporates hydro-logic processes by using rainfall, evaporation, and ground permeability (e.g., soil type) parameters

This model advances the state of knowledge of landscape pattern metrics as factors for the prediction of water quality parameters Landscape indices are gen-erally widely used tools for spatial landscape analyses and serve as standards for comparison between landscapes in different parts of the world Linking water qual-ity to landscape indices allows us to compare land and waterscapes across scales The NPSSIM model serves to enhance our understanding of the relationships between lake water quality parameters and the wider landscape components, while providing water quality managers with a new cost-effective tool to manage water resources

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12.2 METHODS

12.2.1 LAND USE/LANDCOVER(LULC) DATA

LULC data obtained from the Michigan Geographic Data Library were derived from a classification of 2001 Landsat Thematic Mapper (TM) imagery from three seasons: spring (leaf-off), summer, and fall (senescence)

12.2.2 DIGITAL ELEVATION MODEL(DEM)

A seamless 30-meter resolution DEM was produced by the United States Geologi-cal Survey (USGS) The data were checked for artificial sinks that may have been caused by the production process All sinks smaller than 8 pixels were filled A raster grid of geographically corrected water bodies, including both streams and lakes, were overlaid on the DEM A focal filter was used to smooth out the elevation and eliminate sinks (Figure 12.1)

12.2.3 LAKE SAMPLING METHOD

The lake water quality parameter data used in this study were collected by the Mich-igan State University research group of Dr Robert Jan Stevenson in the Department

of Zoology The data was comprised of data from 158 lakes within the Muskegon River watershed The water quality parameter data were collected in spring and

FIGURE 12.1 Digital elevation model (DEM): Michigan and the Muskegon River watershed

(See color insert after p 162.)

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summer of 2002 The samples were ideally collected from the deepest basin of the lake One sample was collected from each lake to represent the lake Lake data were classified by trophic status to ensure variation in water quality from oligotrophic to hypereutrophic Due to the lack of a completed water quality parameter dataset, 52 lakes were selected from the database to be used in model simulation Thirty percent

of the simulated dataset (17 lakes) were used for the validation

12.2.4 LAKESHEDGENERATION

The lakeshed, commonly known as catchments of selected lakes, were generated using ArcINFO GRID software To derive lakesheds, direction grids and source

grids were needed The direction grid was prepared by running the flowdirection

command on the DEM The source grid is a grid that represents cells above which

the contributing area was prepared using a streamlink function Streamlink assigns

unique values to sections of a raster linear network between intersections Once the direction grid and the source grid were completed, the lakeshed was determined by

using a watershed function The lakesheds were converted to the vector data model

(Figure 12.2), and boundaries were edited when necessary Next, lakeshed boundar-ies were used to clip out the surrounding LULC and were classed to seven major categories: urban, agriculture, open land, water, golf course, forest, and wetland

12.2.5 LANDSCAPE PATTERN METRICS

In many studies, landscape pattern metrics have been used to describe changes in

calculated on the LULC data including (1) number of patches per class per year, (2) total area per class per year, (3) mean patch size per class per year, (4) patch size standard deviation per class per year, and (5) dominance All were calculated using the interactive data language (IDL) (TM)

FIGURE 12.2 Example of lakeshed boundary: Lake Mitchell (left), Lake Cadillac (middle), and Hardy Dam pond (right)

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12.2.6 RELATIONSHIPS AMONG LANDSCAPE METRICS

ANDWATERQUALITY PARAMETERS

The landscape pattern metrics and slope were regressed against TP, TN, and TSS in SYSTAT 9.0 with water quality parameters (TP, TN, and TSS) being the dependent variables and the landscape parameters (landscape pattern metrics and slope) the

independent variables Metrics that produced insignificant results (P > 0.05;

confi-dence level 0.95) were eliminated Finally, combinations of metrics that suggested the strongest relationships with nutrients and turbidity were used in the model Mean patch size per year for classes including urban, agriculture, and open land were used

12.2.7 SIMULATION MODEL

The NPSSIM predictive model was developed in the STELLA 8.0 software TN,

TP, and TSS were predicted in runoff using the regression relationship between landscape and the water quality parameters (as described in section 12.2.6) Other considerable factors, such as soil permeability, rainfall, lake volume, fertilizer application rate, nutrients concentration in rainfall, nutrients outflow rates, and TSS precipitate rate, were incorporated into the STELLA conceptual framework

con-stant and equations were based on regression results and Michigan Agricultural Statistics

12.2.8 MODEL VERIFICATION AND VALIDATION

After model equations were revised, and adjusting coefficients were applied where needed, it was verified by comparing simulation results with field observations Due

to data limitations, the model was validated with TN, TP, and TSS data from 17 lakes (equivalent to 30 percent of all obtainable lake data) from the same year These lakes were not used to create the model Landscape metrics of the lake catchments were calculated (as described in sections 12.2.4 and 12.2.5) and entered into the model TN, TP, and TSS were simulated in NPSSIM The results were correlated

used to report accuracy of the model

12.2.9 SENSITIVITY ANALYSIS

Sensitivity analysis was calculated on TN and TP in response to changes in mean patch size (MPS) of agriculture and urban changes TN was more sensitive to agricul-ture when the patch size increased Phosphorus was less sensitive to urban changes when the patch size increased The analysis of sensitivity on fertilizer application and rainfall was performed; however, the results were not significant Changes in fertilizer and rainfall up to 50% of the original rate did not have a significant impact

on the water quality according to the model

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12.3 RESULTS

A Multivariate regression analysis suggested that the mean patch size of agri-culture and open land in the catchments had the strongest relationship with

TN, implying that increasing sizes of agriculture patches release more N into lakes The result supported the hypothesis that TN increased as agri-culture increased

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FIGURE 12.3 Conceptual nitrogen, phosphorus, and sediment simulation (NPSSIM) model

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B The regression result suggested that the mean patch size of urban and open land had the strongest relationship with TP The result did not support the hypothesis that TP would increase as agriculture increased Urban land use seemed to have more impact on TP than agriculture This may be because

a major portion of phosphorus transport in water is by binding with other substrates Sediment loads increase with urban land use That, combined with the open land that creates sediment loads in runoff, could enhance phosphorus transportation into the lakes

C TSS was most affected by the percentage of the area of urban land use and the landscape slope The regression result supported the hypothe-sis that TSS increased as urban area increased Urban built-up material created impervious surfaces, which increased velocities in surface run-off Higher slopes also enhanced the process Clearly increasing speeds

in surface runoff increases water carrying capacity for particles and sediment

D Validation of the model between observed and predicted TP, TN, and TSS

resulted in r 2 of 0.4535, 0.2471, and 0.4593, respectively (Figure 12.4)

12.4 CONCLUSION AND DISCUSSION

Lake ecosystems are very complicated and direct relationships among TN, TP, TSS, and water quality parameters are extremely difficult to determine Correlation

with some other variables, such as slope, soil permeability, rainfall, nutrients con-centration in rainfall, and fertilizer included into the model, the prediction accuracy

and improve the predictability A stochastic model, as opposed to our deterministic NPSSIM model, may be an alternative approach because many variables (e.g., rain-fall, fertilizer application) are not constant in nature

Even though the validation correlation coefficient did not show impressive accuracy, the nutrient models did capture the trend of how water quality

as agricultural areas increased as a result of the intensive application of fertilizer use The TP increases as a catchment or subwatershed increases in impervious area with a direct impact on stream quality increases The TSS model seemed to predict the average in all lakes However, the percentage of urban area was selected as the significant variable in the regression process, which shows that the urban area was more correlated to TSS than other LULC types Velocities in surface runoff were increased by impervious surfaces in urban land On the other hand, area that had been classified as agricultural land was mostly covered with vegetation; therefore,

a smaller amount of sediment was washed out of the surface Additional param-eters may need to be included in the model to enhance the response of TSS to dif-ferences in LULC Sensitivity analysis shows an insignificant relationship between water quality parameters and fertilizer application This was unexpected The model may lack variables that better link fertilizer to the entire system Further revision is needed

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Without a time constraint, the model could potentially be improved Refined equations and constants for the model could be developed The input parameters were based on available data and may have reduced model predictability This proj-ect and model serve as preliminary work for future research

TP

R2= 0.4535

0

10

20

30

40

0 10 20 30 40 50 60

0 10 20 30 40

Lakes

TP

TP

TN

R2= 0.2471

0

200

400

600

800

1000

L_HESS_0403 L_FREM_0502

L_TAMA_0403 L_BEAR_0502 L_LILY_0602 L_RYER_0602 L_KIMB_0502 L_MITC_0602 L_TOWN_0502 L_PLEA_0502 L_CLME_0602 L_CROO_0602 L_WELL_0602

L_HAYM_0602 L_SILV_0602 Predicted

Predicted

0 300 600 900 1200

Lakes

TN

TN

Predicted Observed Predicted Observed

TSS

R2= 0.4593

0

2

4

6

8

200 400 600 800 1000 1200

Observed

Observed

Observed

Predicted 0

3 6 9 12 15

Lakes

TSS

TSS

L_BEAR_0502 L_HESS_0403 L_TAHA_0403 L_GRAS_0602 L_KIHP_0502 L_WELL_0602 L_TOWN_0502 L_PREH_0502 L_TODD_0502 L_HITC_0602 L_HAYH_0602 L_RYER_0602

L_PLEH_0502 L_CLHE_0602 L_CROO_0602 L_SILY_0602 L_LILY_0602

L_BEAR_0502 L_HESS_0403 L_FREM_0502 L_GRAS_0602 L_CROO_0602 L_TAMA_0403 L_PLEA_0502 L_KIMB_0502 L_TOWN_0502 L_RYER_0602 L_LILY_0602 L_TODD_0502 L_HAYM_0602 L_SILY_0602 L_MITO_0602 L_OLME_0602 L_WELL_0602

Predicted Observed

FIGURE 12.4 Validation results

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1 Copeland, C 1999 Clean water action plan: Background and early implementation.

Washington, DC: CRS Report, 98–150

2 Bianchi, M., and T Harter 2002 Nonpoint sources of pollution in irrigated agricul-ture Farm water quality planning reference sheet 9.1 Oakland: University of

Califor-nia, 1–8

3 Institute of Water Research Michigan State University http://www.iwr.msu.edu/ edmodule/water/luwhome.htm

4 Carpenter, S R., N F Caraco, D L Correll, R W Howarth, A N Sharpley, and V H Smith 1998 Nonpoint source pollution of surface waters with phosphorus and

nitro-gen Ecological Applications 8(3):559–568.

5 Tinker, P B 1997 The environmental implications of intensified land use in

develop-ing countries Philosophical Transactions: Biological Sciences 352(1356):1023–1032.

6 Mueller, D K., and D R Helsel 1996 Nutrients in the nation’s waters—too much of

a good thing? U.S Geological Survey Circular 1136 Washington, DC: U.S Geological

Survey

7 Roa-Espinosa, A., J M Norman, T B Wilson, and K Johnson 2003 Predicting the impact of urban development on stream temperature using a Thermal Urban Runoff

Model (TURM) In Proceedings of the National Conference on Urban Stormwater:

Enhancing Programs at the Local Level, Chicago, Illinois, February 17–20, 2003.

Washington, DC: U.S Environmental Protection Agency, 369–389

8 Puijenbroek, P J T M., J H Janse, and J M Knoop 2004 Integrated modeling

for nutrient loading and ecology of lakes in the Netherlands Ecological Modelling

174:127–141

9 Shanahan, P., M Henze, L Koncsos, W Rauch, P Reichert, L Somlyody, and

P Vanrolleghem 1998 River water quality modelling: II Problems of the Art Water Science and Technology 38(11):245–-252.

10 Iverson, L R 1988 Land-use changes in Illinois, USA: The influence of landscape

attributes on current and historic land use Landscape Ecology 2:45–62.

... 12. 4 Validation results

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1 Copeland, C 1999 Clean water action plan: Background and early implementation.... TSS was most affected by the percentage of the area of urban land use and the landscape slope The regression result supported the hypothe-sis that TSS increased as urban area increased Urban built-up...

as agricultural areas increased as a result of the intensive application of fertilizer use The TP increases as a catchment or subwatershed increases in impervious area with a direct impact on

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