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publications > report > RECOVER southern estuaries performance measures: identification of hydrology - salinity relationships for coastal estuaries and analysis of interim CERP update scenarios

Critical Ecosystem Studies Initiative Final Project Report

RECOVER Southern Estuaries Performance Measures: Identification of Hydrology - Salinity Relationships for Coastal Estuaries and Analysis of Interim CERP Update Scenarios

A portion of this document is below; please see the PDF version for the entire document.

Contract No. DACW17-02-D-0009

FINAL PROJECT REPORT
Critical Ecosystem Studies Initiative

Principal Investigator: Frank E. Marshall III, PhD, P.E. September, 2005 Environmental Consulting and Technology, Inc. 340 North Causeway New Smyrna Beach, Florida 32169 (386) 427-0694


Table of Contents

I. BACKGROUND
A. General
B. Hydrology and Other Factors Affecting Salinity
C. Data for Model Development and Simulations
D. Model Development

II. FLORIDA BAY ANALYSIS
A. General
B. Study Area and Data
C. Florida Bay Models
D. Model Error Statistics
E. Florida Bay Analysis Discussion

III. BARNES SOUND AND MANATEE BAY ANALYSIS
A. Study Area and Data
B. Model Development
C. Manatee Bay and Barnes Sound Discussion

IV. ICU RUNS AND PERFORMANCE MEASURES
A. General
B. Simulation Procedure
C. ICU Salinity Simulations
D. Comparison of ICU Runs
E. ICU Runs Discussion

V. POST-PROCESSING ACTIVITIES

VI. REFERENCES

List of Tables

1 Summary of Information about the monitoring Stations and Salinity Data
2 Summary of Information about the Independent Variables used in model development and verification for Florida Bay MLR Salinity Models
3 Comparison of Model Uncertainty Statistics for SES MLR Salinity Models, Developed for this Project
4 Comparison of Model Uncertainty Statistics for IOP/CESI MLR Salinity Models, Developed Previously
5 Comparison of Model Uncertainty Statistics for MLR Salinity Models
6 Adjustments that were made to the output of the 2 x 2 Model for use in the MLR Salinity models for the ICU Simulations

List of Figures

1 Study Area
2 Monitoring Station Map
3 A comparison of the variability in observed data for Craighead Pond (CP) water level, P33 water level, and Key West sea surface level for the example period March 1971 through March 1983 (M = March)
4 Plot of u wind vector for the year 2000 as measured at Miami and Key West
5 Plot of v wind vector for the year 2000 as measured at Miami and Key West
6 Comparison of Observed and Simulated Daily Data for the Joe Bay MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 23, 1995
7 Comparison of Observed and Simulated Data for the Little Maderia Bay Extended Period MLR Model. Calibration is August 25, 1988 – October 31, 2001; Verification is November 1, 2001 – October 31, 2002
8 Comparison of Observed and Simulated Daily Data for the Terrapin Bay MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
9 Comparison of Observed and Simulated Daily Data for the Long Sound MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
10 Comparison of Observed and Simulated Daily Data for the Whipray Basin MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
11 Comparison of Observed and Simulated Daily Data for the Duck Key MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
12 Comparison of Observed and Simulated Daily Data for the Butternut Key MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
13 Comparison of Observed and Simulated Data for the Taylor River MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
14 Comparison of Observed and Simulated Data for the Highway Creek MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
15 Comparison of Observed and Simulated Data for the Little Blackwater Sound MLR Model. Calibration is March 24, 1995 – October 31, 2002; Verification is March 24, 1994 – March 3, 1995
16 Comparison of Observed and Simulated Data for the Bob Allen Key MLR Model. Calibration is September 9, 1998 – October 31, 2002; Verification is September 9, 1997 – September 8, 1998
17 Comparison of Observed and Simulated Daily Data for the Garfield Bight MLR Model. Calibration is March 6, 1997 – December 31, 2002; Verification is March 6, 1996 – March 5, 1997
18 Comparison of Observed and Simulated Daily Data for the Clearwater Pass MLR Model. Calibration is May 10, 1997 – December 31, 2002; Verification is May 10, 1996 – May 9, 1997 Comparison of Observed and Simulated Daily Data for the Whitewater Bay MLR Model.
19 Calibration is August 27, 1996 – December 31, 2002; Verification is August 27, 1995 – August 26, 1996
20 Comparison of Observed and Simulated Daily Data for the North River MLR Model. Calibration is March 6, 1997 – December 31, 2002; Verification is March 6, 1996 – March 5, 1997
21 Comparison of Observed and Simulated Daily Data for the Gunboat Island MLR Model. Calibration is March 22, 1997 – December 31, 2002; Verification is March 22, 1996 – March 21, 1997
22 Comparison of Observed and Simulated Daily Data for the Shark River MLR Model. Calibration is January 1, 1997 – December 31, 2002; Verification is January 1, 1996 – December 31, 1996
23 Comparison of Observed and Simulated Daily Data for the Middle Key MLR Model. Calibration is March 24, 1995 – October 31, 2001; Verification is March 24, 1994 – March 3, 1995
24 Comparison of Observed and Simulated Daily Data for the Manatee Bay MLR Model. Calibration is March 24, 1995 – December 31, 2000; Verification is March 24, 1994 – March 3, 1995
25 Comparison Between 2 x 2 Model Output and Observed Data for Stage Station P33
26 Comparison Between 2 x 2 Model Output and Observed Data for Stage Station EVER7
27 Comparison Between 2 x 2 Model Output and Observed Data for Stage Station CP
28 Comparison Between 2 x 2 Model Output and Observed Data for Stage Station SWEVER1
29 Joe Bay-Annual Mean, Monthly Mean, and 25th/75th Quartile
30 Little Maderia Bay-Annual Mean, Monthly Mean, and 25th/75th Quartile
31 Terrapin Bay-Annual Mean, Monthly Mean, and 25th/75th Quartile
32 Garfield Bight-Annual Mean, Monthly Mean, and 25th/75th Quartile
33 Long Sound-Annual Mean, Monthly Mean, and 25th/75th Quartile
34 Little Blackwater Sound-Annual Mean, Monthly Mean, and 25th/75th Quartile
35 Highway Creek-Annual Mean, Monthly Mean, and 25th/75th Quartile
36 Taylor River-Annual Mean, Monthly Mean, and 25th/75th Quartile
37 Clearwater Pass-Annual Mean, Monthly Mean, and 25th/75th Quartile
38 Whitewater Bay-Annual Mean, Monthly Mean, and 25th/75th Quartile
39 North River-Annual Mean, Monthly Mean, and 25th/75th Quartile
40 Gunboat Island-Annual Mean, Monthly Mean, and 25th/75th Quartile
41 Shark River-Annual Mean, Monthly Mean, and 25th/75th Quartile
42 Whipray Basin-Annual Mean, Monthly Mean, and 25th/75th Quartile
43 Duck Key-Annual Mean, Monthly Mean, and 25th/75th Quartile
44 Butternut Key-Annual Mean, Monthly Mean, and 25th/75th Quartile
45 Bob Allen Key-Annual Mean, Monthly Mean, and 25th/75th Quartile
46 Manatee Bay-Annual Mean, Monthly Mean, and 25th/75th Quartile
47 Middle Key-Annual Mean, Monthly Mean, and 25th/75th Quartile
48 Difference in Water Surface Elevation at Craighead Pond (CP) for NSM 4.6.2, and CERP2000 and CERP0 Produced by MLR Salinity Models

A portion of this document is below; please see the PDF version for the entire document.

I. Background

A. General

Environmental Consulting & Technology, Inc. (ECT) working as a sub-consultant to Tetra Tech Inc., has been contracted to support the U.S. Department of the Army, Corps of Engineers, Jacksonville District RECOVER branch with the identification of hydrology - salinity relationships needed to create Performance Measures (PMs). These PMs are to be used to evaluate water delivery alternatives for the Comprehensive Everglades Restoration Plan (CERP) by employing hydrologic model output from the South Florida Water Management Model (SFWMM or 2X2 Model) to predict salinities downstream in coastal estuaries. Translating the water level measured by gauges and other hydrologic structures into salinities in coastal basins requires an analysis of statistical relationships between historical hydrology and resulting salinities in the subject south Florida water bodies. Other factors may also be important in quantifying these relationships, such as rainfall, wind and sea level.

Once it is determined which gauges and structures are statistically significant for each basin, multivariate linear regression (MLR) models are to be developed for basins in Florida Bay, Barnes Sound / Manatee Bay, and the Shark Slough discharge area north of Cape Sable. These new models are to be combined with the existing MLR models prepared previously for Everglades National Park (ENP) by Cetacean Logic Foundation, Inc. to create a suite of models that describes the temporal and spatial variation in the south Florida area that receives drainage from the Everglades. The Regional Evaluation Team (RET) of RECOVER can then use the suite of models to simulate the salinity of coastal basins from SFWMM model output for various CERP project alternatives, thereby generating a key piece of information (salinity regime) on the effect of projects on the ecology of the embayments and open-water basins of Florida Bay. The Southern Estuaries Sub-team (Sub-team) of RET has been assigned with the responsibility of developing salinity performance measures that utilize the statistical models to evaluate alternatives for the Interim CERP Update. The Sub-team recommended the work described in this report.

The work described in this report builds on the previous salinity model work that has been done in some of the coastal basins of Florida Bay by ENP. As research sponsored by the Critical Ecosystem Studies Initiative (CESI), multivariate linear regression (MLR) models were investigated for use in simulating salinity (Marshall, 2003a; Marshall, 2004) and were found to be capable of providing reasonable daily estimates of salinity in the near shore embayments that were investigated. The techniques were successfully applied for the first time in the evaluation of alternative water delivery schemes as part of the Interim Operations Plan (IOP) Congressional report activities (Marshall, 2003b, 2005).

For this project, four tasks were completed, each resulting in the preparation of a draft task report that was distributed electronically. These task reports were incorporated into this single-volume project report. The four tasks that were completed were:

(1) the Florida Bay analysis,
(2) the Barnes Sound and Manatee Bay analysis,
(3) the ICU alternative simulations, and
(4) the post-processing activities.

Significant additional information was added to the task reports to complete the compilation of the four task reports into this Project Report.

B. Hydrology and Other Factors Affecting Salinity

Freshwater flowing into ENP across Tamiami Trail moves south and southwest towards Florida Bay and the southwest Gulf of Mexico coast, as shown on the study area map, Figure 1 and the more detailed Figure 2. Most of the freshwater flows through Shark River Slough into the Gulf, but some freshwater passes through Taylor Slough, and is distributed into northeast Florida Bay and Barnes Sound / Manatee Bay / Card Sound, augmented by flows from the C-111 Canal system and seepage from stored surficial aquifer groundwater beneath the topographic high of the Atlantic Coastal Ridge on which metropolitan Miami is built. The contribution of groundwater and the effect on salinity variation in Florida Bay and Biscayne Bay is not fully understood.

map of southern Florida showing study area map showing locations of marine and hydrological monitoring stations used for statistical salinity models
Figure 1. Study Area [larger image] Figure 2. Locations of marine and hydrological monitoring stations used for statistical salinity models. [larger image]

Rainfall in south Florida typically exhibits distinctive wet and dry season patterns but is variable spatially. The wet season pattern is driven by tropical weather and sea breeze interactions, with frequent storms that exhibit wide spatial distributions. Rainfall data between gauges that are only tens of miles apart often show widely varying rainfall volumes for a single period of time during the wet season (May or June through October or November). In the dry season (November or December through April or May), rain is usually delivered by frontal systems, with wider spatial distribution of single events, and less frequent events compared to the wet season. Evaporation is also seasonal, but with a slightly different pattern than rainfall. This difference in timing has a significant effect on the timing and quantity of fresh water delivered and therefore the salinity.

Wind also has a seasonal pattern similar to rainfall. During the wet season the wind direction is predominately from the south and southeast, and during the dry season northerly wind is most common. Additionally, the sea surface elevation and the elevation of the water surface in Florida Bay have their own “seasonal” behavior, with the highest average water surface elevations in the Fall and a secondary high in the Spring. When a hurricane or other significant weather event occurs, wind and storm surge effects can alter the sea surface elevation dramatically over short periods.

According to coastal aquifer theories, the salinity in the interface zone between strictly fresh (0-5 psu) and marine waters (33-35 psu) in Florida Bay is influenced by the freshwater head in the upland watershed (measured as the elevation of water in wells in the Everglades) competing with the elevation of water in Florida Bay and the Atlantic Ocean (Pandit, et al; 1991). The result, when combined with the physical features of the embayments, basins, and bays of Florida Bay (including the shallow banks) and wind effects is a complex situation for salinity variability. To-date, only statistical models have been capable of successfully simulating this variability on a daily basis.

C. Data for Model Development and Simulations

In choosing the data that are to be included in the analysis and ultimately the MLR salinity models, the end use of the models has to be considered. The SFWMM or 2X2 model has produced estimates of stage (water level) and flow of freshwater through the Everglades for a number of CERP scenarios. Daily values are available for 31- and 36-year overlapping periods. The 36-year (1965-2000) runs are of interest for this study. The effects of the specified water deliveries on the water levels in the Everglades are expressed in the output of each of the CERP 2X2 runs. The MLR salinity models were developed to use the 2X2 model output in conjunction with available long-term data for wind and sea surface water level to produce estimates of daily salinity for the 36-year period in Florida Bay, the southwest Gulf coast, and Barnes Sound and Manatee Bay. The simulated salinity time series can be analyzed for potential ecological impacts, either positive or negative, of the particular water management alternative.

The independent variable data must be available for most, if not all of the 36-year period in order to populate the models and obtain estimates of salinity to be of use for the ICU evaluations. This requirement eliminates the direct use of evaporation for models or simulations since there are no observed daily data for the 36-year period, nor are there any evaporation models that are capable of producing reliable daily estimates. Flows through control structures are not as useful statistically for model development and simulation purposes compared to stages (water levels) in the Everglades.

Although rainfall is an important hydrologic parameter for seasonal salinity variation, rainfall at monitoring stations in the Everglades are not highly correlated with salinity at the daily level. Instead, the stochastic effect of rainfall falling on the Everglades and the upstream watershed is integrated by the coastal aquifer system and expressed adequately in stage data. Wind speed and direction and sea level are highly correlated with salinity at the daily level, and are available for the 36-year period.

For the above reasons, the data that were used to develop the MLR salinity models and generate the simulations include the following:

  1. Stage (water level) in monitor wells in the Everglades,
  2. Wind speed and direction measured at Miami and Key West, and
  3. Sea surface elevation measured at Key West.

For model development, observed stage data are used. For simulations, the 2X2 Model output data are used for stage after adjustments are made. Model development and simulations use the same data bases for wind and sea level although the period of the simulation is longer.

Continuous salinity data extend back to 1988 at several locations in northeast Florida Bay. However, some of the stations have only been operational since 1996. For the previously developed CESI / IOP models the period of data used for model development begins on March 24, 1994. For the new models in this study, the longest period of data available was used. The period of record for all stations extends through October 31, 2002. Most series contained some missing values. No attempts were made to fill in data gaps or to eliminate outliers in either independent or dependent variable data sets, as the number of daily values for the shortest time series for the observed data exceeded 2000 values.

The models were developed from observed data that have been collected at 15 to 60 minute increments and averaged to daily values. Salinity data are taken from the ENP Marine Monitoring Network (MMN) data base, Table 1. Details about these data can be found in Everglades National Park (1997a and 1997b), and Smith (1997, 1998, 1999, and 2001). A map showing the ENP MMN stations and the locations of the water level monitoring stations used for this study is presented as Figure 2. Wind data were obtained directly from the National Weather Service (Southeast Regional Climate Center) for Key West and Miami stations, and sea surface level data collected at Key West were obtained from the National Ocean Service website (Table 2). Wind data from Key West and Miami were used as these locations had the longest continuous records for wind and were considered to be representative of the regional wind patterns. Sea surface elevation data from Key West were considered to be representative of the average effect of oceanic water level influences, and, to some extent, the average water level patterns within Florida Bay. The stage data are ENP Physical Monitoring Network Everglades water levels. A limited number of continuous water level (stage) monitoring stations in the Everglades began recording data in the 1950’s (see Table 2), but most stage records date from the 1990’s.

Table 1. Summary of information about the monitoring stations and salinity data used in model development and verification for Florida Bay MLR salinity models. All salinity data were collected by ENP.
Station Name MMN ID Variable Name Developed For Location Beginning of Record
Little Madeira Bay
LM
ltmad
CESI
Near-shore, Central Florida Bay
4/28/1988
Terrapin Bay
TB
terbay
CESI
Near-shore, Central Florida Bay
9/12/1991
Long Sound
LS
longsound
CESI
Near-shore, Northeast Florida Bay
3/28/1988
Joe Bay
JB
joebay
CESI
Near-shore, Northeast Florida Bay
4/26/1988
Little Blackwater Sound
LB
ltblackwater
CESI
Near-shore, Northeast Florida Bay
9/11/1991
Garfield Bight
GB
garfield
CESI, SES
Near-shore, Central Florida Bay
7/3/1991
Taylor River
TR
taylorriver
CESI
Taylor Slough Mangrove Zone
5/12/1988
Highway Creek
HC
hiwaycreek
CESI
Panhandle Mangrove Zone
4/27/1988
Whipray Basin
WB
whipray
CESI
Open-water, Central Florida Bay
4/28/1988
Duck Key
DK
duck
CESI
Open-water, Eastern Florida Bay
4/26/1988
Butternut Key
BN
butternut
CESI
Open-water, Eastern Florida Bay
4/27/1988
Bob Allen Key
BA
boballen
CESI
Open-water, Central Florida Bay
4/27/1988
Clearwater Pass
CW
clearwater
SES
Whitewater Bay
5/10/1996
Whitewater Bay East
WW
whitewater
SES
Whitewater Bay
8/27/1995
North River
NR
norriv
CESI, SES
Southwest Coast
02/30/90
Gunboat Island
GI
gunboat
SES
Southwest Coast
3/22/1996
Shark River
SR
sharkriver
SES
Southwest
5/2/1996
Note: CESI = Critical Ecosystems Studies Initiative, SES = Southern Estuaries Sub-team


Table 2. Summary of information about the independent variables used in model development and verification for Florida Bay MLR salinity models.
Variable Name Variable Type Units Data Source Location Beginning Date of Data Record
CP
Water Level
Ft, NGVD 29
ENP
Craighead Pond
10/01/78
E146
Water Level
Ft, NGVD 29
ENP
Taylor Slough
03/24/94
EVER4
Water Level
Ft, NGVD 29
ENP
So. Of FL City
09/20/85
EVER6
Water Level
Ft, NGVD 29
ENP
So. Of FL City
12/24/91
EVER7
Water Level
Ft, NGVD 29
ENP
So. Of FL City
12/24/91
G3273
Water Level
Ft, NGVD 29
ENP
East of S.R. Slough
03/14/84
NP206
Water Level
Ft, NGVD 29
ENP
East of S.R. Slough
10/01/74
NP46
Water Level
Ft, NGVD 29
ENP
Rocky Glades
01/15/66
NP62
Water Level
Ft, NGVD 29
ENP
East of S.R. Slough
01/04/64
P33
Water Level
Ft, NGVD 29
ENP
Shark River Slough
02/15/53
P35
Water Level
Ft, NGVD 29
ENP
Shark River Slough
02/15/63
P37
Water Level
Ft, NGVD 29
ENP
Taylor Slough
01/15/53
P38
Water Level
Ft, NGVD 29
ENP
Shark River Slough
01/10/52
R127
Water Level
Ft, NGVD 29
ENP
Taylor Slough
04/11/84
SWEVER1
Water Level
Ft, NGVD 29
SFWMD
Panhandle
07/15/87
G1183
Water Level
Ft, NGVD 29
USGS
Homestead
01/05/61
S196A
Water Level
Ft, NGVD 29
USGS
Homestead
08/08/84
G580
Water Level
Ft, NGVD 29
USGS
Miami
07/15/49
G3356
Water Level
Ft, NGVD 29
USGS
Florida City
10/23/85
UWNDKW
E-W Wind
N/A
NWS
Key West
01/07/57
VWNDKW
N-S Wind
N/A
NWS
Key West
01/07/57
UWNDMIA
E-W Wind
N/A
NWS
Miami
01/07/57
VWNDMIA
N-S Wind
N/A
NWS
Miami
01/07/57
KWWATLEV
Sea Surface Elevation
MSL Key West
NOS
Key West
01/19/13

D. Model Development

The framework for the relationship between estuarine and coastal shelf salinity is a coastal aquifer system physical model with a dynamic balance between fresh and salt water bodies and a salinity transition zone from upstream freshwater (salinity = 0) to sea water (salinity = 35 psu; Pandit et al, 1991). In most of the coastal aquifer examples in the literature, the focus is the water table aquifer, with the primary concern being the location of the transition zone as a water supply issue of saltwater intrusion. For salinity modeling in an estuary the focus is the salinity in the interface transition zone.

The well-known Ghyben-Herzberg principle describes the location of this interface as function of the height of the freshwater surface in the watershed relative to the height of the sea surface above a common datum, and the relative density of the water masses. When the sea surface level is high enough relative to the freshwater level (such as a normal dry season), the higher density salt water moves the interface landward, increasing the salinity at a fixed station in the transition zone. When the freshwater level is high enough relative to the elevation of the sea surface to overcome the increased density of the seawater (such as a typical wet season in the Everglades), the salinity will decrease at a fixed station in the transition zone. In a shallow estuary like Florida Bay the wind can cause the interface to translocate and also to mix. Therefore, it is reasonable to expect that there would be a correlation between salinity levels and these three factors, which is confirmed by a correlation matrix of the observed data (not presented) at the 95% level of significance, sometimes for lagged values on the order of days. However, each of these forcing factors (fresh water elevation, wind, sea surface elevation) has a different pattern of variability over time.

Figure 3 presents a plot of water levels at Craighead Pond (CP) and at P33, and sea surface elevation at Key West for the period March 1971-March 1983. Though the values of CP and P33 cannot be compared directly with the values of Key West sea surface elevation, the variability patterns in each time series can be evaluated. It can be seen that the variability in the sea surface elevation (Kwwatlev) is more uniform from year-to-year than the year-to-year variability in CP and P33, reflecting the regularity of the harmonic components of the sea surface elevation. While the values of CP and P33 are, in general, lower in the dry season (November – May) and higher in the wet season (June – October), it can be seen that the variability in the minimum value reached for a dry period is greater than the variability in the maximum value reached, reflecting the importance of wet season rainfall, or rather the paucity of it. For example, in Figure 3 the minimum water level reached at CP for 1974 and 1975 is much lower than the values reached for 1976 and 1977. A similar situation can be seen for P33 for 1974 compared to the following years. However, for 1975, CP behaves similar to 1974 (both expressing drought conditions), while at P33 the water level is relatively high in the dry season in 1975.

graph showing a comparison of the variability in observed data for Craighead Pond water level, P33 water level, and Key West sea surface level for the example period March 1971 through March 1983
Figure 3. A comparison of the variability in observed data for Craighead Pond (CP) water level, P33 water level, and Key West sea surface level for the example period March 1971 through March 1983 (M = March). [larger image]

In addition to the variability of watershed and sea / estuary water levels is the variability in wind speed and direction, used in the salinity models as vector quantities. Figure 4 presents the daily time series for 2000 for the u-component of the wind vector, and Figure 5 presents the same information for the v-component. Although vector data are sometimes difficult to interpret, it can be seen that the patterns of daily variability are very similar at the two stations for the v-component. For the u-component, the positive and negative values for the Key West data are larger, and the variability pattern during the wet season (May – September) is different than the rest of the year.

plot of u wind vector for the year 2000 as measured at Miami and Key West
Figure 4. Plot of u wind vector for the year 2000 as measured at Miami and Key West. [larger image]


plot of v wind vector for the year 2000 as measured at Miami and Key West
Figure 5. Plot of v wind vector for the year 2000 as measured at Miami and Key West. [larger image]

A step-wise multivariate linear regression process was used to determine the most appropriate linear combination of independent variables for each salinity model. In addition to the independent variables in Table 2, the list of potential variables for model inclusion also included several hydraulic gradient variables computed using the stage variables in Table 2.

To begin the model development procedure, all independent variables were subjected to a cross-correlation analysis with daily salinity using SARIMA techniques to determine which of the variables were correlated with salinity, to check for lagged relationships, and to evaluate the level of correlation. Lags up to 50 days were initially reviewed, though it was found that lagged correlations never exceeded six days. Then the observed data of the significant correlated variables (current and lagged values) were input to a SAS© PROC REG routine that uses a step-wise regression process to identify the most statistically significant parameters for a multivariate linear regression equation. To ensure that only the most highly significant parameters were selected by this process, the significance level for parameter inclusion in the model was set at 99.9%, a very high level. Parameter inclusion in a model was also manually controlled by eliminating any seemingly correlated variables that acted contrary to known physical relationships (such as an increasing stage in the Everglades indicating an increase in salinity) which can occur when there are cross-correlation effects. These parameters were eliminated, and the step-wise process re-run iteratively.

For some of the open-water salinity monitoring stations that are away from the direct influence of the freshwater in the watershed it was found that salinity models were improved when Everglades stage was replaced by the salinity at the near shore stations of Little Madeira Bay and Terrapin Bay. The following CESI / IOP salinity models were developed from Little Madeira Bay and Terrapin Bay salinity, wind vectors, and Key West sea surface elevation instead of the stage elevation in the Everglades:

  1. Whipray Basin,
  2. Butternut Key,
  3. Duck Key, and
  4. Bob Allen Key.

During model verification it was determined that the salinity estimates produced by these models were more closely simulating the observed values compared to models prepared using watershed water levels. The details on model development can be found in Marshall (2003b, 2004, and 2005). However, it means that simulation is a two-step process with the simulation of salinity at Little Madeira Bay and Terrapin Bay required before salinity at the open-water stations can be simulated.

Table 3. Comparison of Model Uncertainty Statistics for SES MLR Salinity Models Developed for this Project.
station mean square error root mse adj R-sq mean error mean abs error max abs error relative mean error relative mean abs error relative mean square error Nash-
Sutcliffe
Effcy.
Garfield Bight
37.9
6.15
0.68
-0.36
4.75
21.1
-0.012
0.16
0.06
0.89
Clearwater Pass
11.60
3.40
0.85
-0.12
2.72
10.82
-0.01
0.16
0.08
0.85
Whitewater Bay
9.60
3.10
0.74
0.46
2.90
10.60
0.04
0.26
0.06
0.88
North River
14.30
3.80
0.77
0.56
3.23
17.92
0.08
0.45
0.04
0.92
Gunboat Island
11.50
3.40
0.85
1.03
3.02
13.28
0.09
0.27
0.05
0.89
Shark River
6.30
2.50
0.82
-0.11
2.02
9.11
0.00
0.08
0.06
0.89


Table 4. Comparison of Model Uncertainty Statistics for IOP / CESI MLR Salinity Models Developed Previously.
station mean
sq error (mse)
, 2psu
root
mse (rmse)
, psu
adj R-sq mean error, psu mean
abs error, psu
max abs error, psu Nash-Sutcliffe Efficiency
Joe Bay
25.8
5.1
0.75
-0.14
3.7
20.6
0.76
Little
Madeira Bay
40.1
6.4
0.65
-0.66
5.1
22.6
-0.96
Terrapin Bay
32.6
5.7
0.75
-0.99
5.4
5.4
0.67
Whipray Basin
7.2
2.7
0.8
0.11
2.2
10.1
0.77
Duck Key
9.7
3.1
0.71
-0.18
2.27
14.4
0.71
Butternut Key
10.7
3.3
0.65
0.1
2.7
11.3
0.66
Long Sound
15
3.9
0.8
0.31
2.7
18.9
0.81
Taylor River
21.4
4.6
0.78
-0.49
3.6
22.9
0.78
Highway Creek
18.2
4.3
0.81
-0.95
3.7
17.7
0.76
Little
Blackwater Sound
14
3.7
0.75
-0.14
2.9
15.7
0.76
Bob Allen Key
7.2
2.7
0.79
0.3
2.1
9.2
0.81


Table 5. Comparison of Model Uncertainty Statistics for MLR Salinity Models
station mean square error root mse adj R-sq mean error mean abs error max abs error relative mean error relative mean abs error relative mean square error Nash-Sutcliffe
Effcy.
Middle Key
6.88
2.60
0.74
-0.22
2.20
11.33
-0.01
0.09
0.16
0.71
Manatee Bay Stage
9.50
3.10
0.69
0.02
2.07
12.86
0.00
0.09
0.17
0.70


Table 6. Adjustments that were made to the output of the 2X2 Model for use in the MLR salinity models for the ICU simulations.
Station ID 2X2 Cell No. Station Elev, NGVD 96-2000 Bias
CP
R4C20
0.36
-0.63
E146
R5C21
0.80
-0.29
EVER1
R8C28
1.30
0.04
EVER4
R8C25
2.34
0.03
EVER6
R6C26
1.28
-0.56
EVER7
R6C25
1.33
-0.89
G3273
R17C24
6.78
-0.25
NP206
R15C21
6.02
0.13
NP46
R7C17
1.64
-0.16
NP62
R11C17
2.19
-0.11
NP67
R7C22
1.64
-0.3
P33
R17C20
5.55
-0.01
P35
R12C15
1.18
0.19
P37
R6C20
1.59
-0.22
P38
R9C16
1.14
0.02
R127
R8C23
1.76
-0.16

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Appendices are available separately and can be obtained by contacting Frank E. Marshall, III



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