Trends in the Number of Animals Observed During Wildlife Surveys on the Wakulla Springs River Boat Tour Route from November 1992 through May 2013 by Bob Thompson, October 3, 2013 Plots of the number of animals recorded on wildlife surveys from November 1992 through May 2013 are presented in Attachment 1. The plots include linear regression lines and annual means of the number of animals. Trends in the number of animals were identified based on a visual evaluation of the plots, slope of linear regression lines, and amount of change of annual means of animal abundance. A summary of results of this graphical analysis is presented in the table below. Strong trends were identified as 'DECREASING' or 'INCREASING' for larger changes in the number of animals, compared to weaker 'Decreasing' or 'Increasing' trends. SUMMARY OF PLOTS OF NUMBER OF ANIMALS * Plot page # Trends in changes in the number of animals over time Decreasing Stable Increasing Other Animal Mammals Florida manatee 1 Reptiles American alligator 1 DECREASING Cooter turtle 2 Snakes 2 Herons & Egrets Great egret 3 Green heron 3 Decrease Little blue heron 4 Snowy egret 4 Recent Decrease Tricolored heron 5 Yellow-crowned night heron 5 Ducks American widgeon 6 DECREASING Blue-winged teal 6 Decreasing Hooded merganser 7 Lesser scaup 7 Woodduck 8 DECREASING Gallinules American coot 8 Common moorhen 9 DECREASING Purple gallinule 9 Decreasing Other Birds Anhinga 10 DECREASING Double-crested cormorant 10 Limpkin 11 DECREASING Osprey 11 Pied-billed grebe 12 White ibis 12 * Plot page # are page numbers in Attachment 1 1 INCREASING Stable Stable Stable Stable Cyclic Stable Stable Stable Stable Cyclic Stable Stable INCREASING None identified The following provides a grand summary of trends based the graphical analysis and the previous table: Decreasing trends were identified for 10 animals; Stable for 10 animals; Increasing for 2 animals; Cyclic for 2 animals; and No Trend was identified for one animal. The plots and previous descriptive text concisely present a lot of information. The following five items provide details: 1. Plots were not made and trends not identified for the following animals counted on wildlife surveys, because of the relatively few numbers of these animals observed: Bald eagle, barred owl, belted kingfisher, black-crowned night heron, Florida softshell turtle, great blue heron, killdeer, red-shouldered hawk, and spotted sandpiper. 2. Wildlife surveys were generally conducted monthly from November 1992 through October 2012 by park staff. Weekly surveys conducted, by trained volunteers, began in November 2012 and are ongoing, coordinated by the Wakulla Springs Alliance. 3. Annual means were calculated for each animal and used to assess trends. The monitoring data began in November 1992 and ended in May 2013. Because the first and last years of data do not span entire annual cycles and present the possibility of seasonal bias, no data from 1992 or from 2013 were used in the calculation of the means presented on the following pages. 4. Legend for all plots: 5. Determination of useful regression results is presented on the last page of Appendix 1. Regression lines were included in figures, if linear regression R2 >=0.15 and Significance of F <0.05 The remainder of this page and Attachment 2 provide a more objective and defensible statistical analysis intended to meet concerns of scientists. Ideally a statistical test for detection of trends would have been applied to be more confident of the graphical analysis results, but no test specifically for trends was identified that was within the scope of this report and also appropriate based on the wildlife monitoring data meeting test assumptions. Attachment 2 presents a statistical test of the wildlife monitoring data that is informative and appropriate. Wildlife monitoring data was divided into two subsets of equal time duration for each animal. The Mann-Whitney test was used to test for differences in medians of the number of animals during the early and late time periods. If the medians were different, then the animals were from different populations. Results of the statistical analyses supported results of the graphical analysis for all but the following four animals: Little blue heron, snowy egret, purple gallinule, and blue-winged teal. Graphical analyses identified stable trends for the little blue and tricolored herons; statistical analyses of early and late time periods identified a significant difference in medians (increasing) for the little blue heron and a significant difference in medians (decreasing) for the tricolored heron. Graphical analyses identified decreasing trends for blue-winged teal and purple gallinule; statistical analyses of early and late time periods identified no change in medians. 2 ATTACHMENT 1 Plots Of The Number Of Animals Over Time FLORIDA MANATEE 30 25 20 15 Annual mean in 2012 = 11.7 manatees 10 5 0 1992 Annual mean in 2003 = 0.3 manatees 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 Note: Manatees were first observed in the Wakulla Springs State Park by staff in 1997.The number of Florida manatee was not recorded on wildlife surveys from 1992 through 2002, 2004, or 2006. A STRONG INCREASING TREND IN THE NUMBER OF FLORIDA MANATEES WAS IDENTIFIED AMERICAN ALLIGATOR 80 70 60 Annual mean in 1996 = 43.8 alligators Annual mean in 2012 = 13.7 alligators 50 40 30 20 10 5 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STRONG DECREASING TREND IN THE NUMBER OF AMERICAN ALLIGATORS WAS IDENTIFIED The number of alligators decreased by 30.1 alligators from annual means of 43.8 to 13.7 alligators (a decrease by 69 percent) over 17 years, from 1996 to 2012. Attachment 1 - 1 SUWANNEE COOTER TURTLE 80 70 60 50 40 30 20 10 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF SUWANNEE COOTER TURTLES WAS IDENTIFIED. No regression line was plotted, because the regression results were not statistically significant. SNAKES 30 25 20 15 10 5 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF SNAKES WAS IDENTIFIED. No regression line was plotted, because the regression results were not statistically significant. Attachment 1 - 2 GREAT EGRET 25 20 15 10 5 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF GREAT EGRETS WAS IDENTIFIED. No regression line was plotted, because the regression results were not statistically significant. GREEN HERON 18 16 14 12 Annual mean In 1995 = 4.1 green herons 10 Annual mean In 2012 = 0.8 green herons 8 6 4 2 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 Based on annual means , A DECREASING TREND IN THE NUMBER OF GREEN HERONS WAS IDENTIFIED. The number of green herons decreased by 3.3 birds from annual means of 4.1 to 0.8 birds (a decrease by 80 percent) over 18 years, from 1995 to 2012 Attachment 1 - 3 LITTLE BLUE HERON 25 Annual mean In 2012 = 4.4 little blue herons 20 15 10 Annual mean In 1995 = 4.3 little blue herons 5 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF LITTLE BLUE HERONS WAS IDENTIFIED SNOWY EGRET 18 Regression significant for subset of data From 2/28.05 to 5/18/2013 16 14 Annual mean In 2005 = 3.7 Snowy egret 12 10 Annual mean In 2012 = 0.7 Snowy egret 8 6 4 2 ` 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 Based on annual means, TWO LONG TERM CYCLES IN THE NUMBER OF SNOWY EGRETS WERE IDENTIFIED, from 1992 to 1999 and from 2000to 2012. A RECENT DECREASING TREND IN THE NUMBER OF SNOWY EGRETS WAS IDENTIFIED of a decrease by 3 birds from annual means of 3.7 to 0.7 birds (a decrease by 81 percent) over 8 years, from 2005 to 2012. Regression was not statistically significant for the entire data set from 1992 through 2013, but was statistically significant for a subset of the data from February 28, 2005 through May 18, 2013. Attachment 1 - 4 TRICOLORED HERSON 30 25 20 15 10 5 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF TRICOLORED HERONS WAS IDENTIFIED. No regression line was plotted, because the regression results were not statistically significant YELLOW-CROWNED NIGHT HERON 40 35 30 25 20 15 10 5 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF YELLOW-CROWNED NIGHT HERONS WAS IDENTIFIED. No regression was plotted, because the regression results were not statistically significant. Attachment 1 - 5 AMERICAN WIDGEON 900 800 700 600 Annual mean in 1993 = 153 American widgeons 500 Annual mean In 2012 = 0.0 American widgeons 400 300 200 100 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STRONG DECREASING TREND IN THE NUMBER OF AMERICAN WIDGEONS WAS IDENTIFIED The mean number of widgeons decreased by 153 birds from 153 to 0 birds (a decrease by 100 percent) over 20 years, from 1993 to 2012. BLUE-WINGED TEAL 60 50 40 Annual mean In 2001 = 9.3 Blue-winged teal 30 Annual mean In 2012 = 0.1 Blue-winged teal 20 10 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A DECREASING TREND IN THE NUMBER OF BLUE-WINGED TEAL WAS IDENTIFIED The mean number of blue-winged teal decreased by 9.2 birds from 9.3 to 0.1 birds (a decrease by 99 percent) over 12 years, from 2001 to 2012. Attachment 1 - 6 HOODED MERGANSER 100 90 80 70 60 50 40 30 20 10 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF HOODED MERGANSERS WAS IDENTIFIED. No regression was plotted, because the regression results were not statistically significant. LESSER SCAUP 120 100 80 60 40 20 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 A STABLE TREND IN THE NUMBER OF LESSER SCAUP WAS IDENTIFIED Attachment 1 - 7 2014 WOODDUCK 60 Annual mean In 2012 = 4.4 woodducks 50 Annual mean in 1997 = 22.7 woodducks 40 30 20 10 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STRONG DECREASING TREND IN THE NUMBER OF WOODDUCKS WAS IDENTIFIED The mean number of woodducks decreased by 18.3 birds from 22.7 to 4.4 birds (a decrease by 81 percent) over 16 years, from 1997 to 2012. AMERICAN COOT 600 500 400 300 200 100 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 TWO LONG TERM CYCLES OF INCREASES FOLLOWED BY DECREASES IN THE NUMBER OF AMERICAN COOTS WERE IDENTIFIED, the first rise and fall in abundance spanned the years 1992 through 2004 and the second spanned the years 2005 through 2012. Attachment 1 - 8 COMMON MOORHEN Annual mean In 2012 = 63.9 Common moorhen 200 Annual mean In 2000 = 119.2 Common moorhen 150 100 50 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STRONG DECREASING TREND IN THE NUMBER OF COMMON MOORHEN WAS IDENTIFIED The number of common moorhen decreased by 55.3 birds from annual means of 119.2 to 63.9 birds (a decrease by 46 percent) over 13 years, from 2000 to 2012. PURPLE GALLINULE 18 16 14 12 10 8 6 4 2 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A LONG TERM DECREASING TREND IN THE NUMBER OF PURPLE GALLINULES WAS IDENTIFIED. This was identified despite the relatively few number of these birds and the high variability in the data. With the exception of one monitoring date in 2004, consistently more purple gallinules were observed from 1993 through 2002 compared to 2003 through 2012. Attachment 1 - 9 ANHINGA 60 50 Annual mean in 1993 = 29.4 Anhinga 40 Annual mean In 2012 = 12.5 Anhinga 30 20 10 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STRONG DECREASING TREND IN THE NUMBER OF ANHINGAS WAS IDENTIFIED The number of anhingas decreased by 16.9 birds from annual means of 29.4 to 12.5 birds (a decrease by 57 percent) over 20 years, from 1993 to 2012. DOUBLE-CRESTED CORMORANT 16 14 12 10 8 6 4 2 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF DOUBLE-CRESTED CORMORANTS WAS IDENTIFIED. No regression was plotted, because the regression results were not statistically significant. Attachment 1 - 10 LIMPKIN 20 Annual mean in 1993 = 13.4 Limpkin 18 16 14 12 10 8 Annual mean in 2012 = 0.0 Limpkin 6 4 2 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STRONG DECREASING TREND IN THE NUMBER OF LIMPKINS WAS IDENTIFIED The number of limpkins decreased by 13.4 birds from annual means of 13.4 to 0.0 birds (a decrease by 100 percent) over 20 years, from 1993 to 2012. OSPREY 10 9 8 7 6 5 4 3 2 1 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A STABLE TREND IN THE NUMBER OF OSPREYS WAS IDENTIFIED. No regression was plotted, because the regression results were not statistically significant. Attachment 1 - 11 PIED-BILLED GREBE 60 Regression significant for subset of data from 1/27/03 to 5/1/8/13 50 Annual mean In 2012 = 27.2 Pied-billed grebes 40 Annual mean In 2003 = 7.1 Pied-billed grebes 30 20 10 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 A RECENT STRONG INCREASING TREND IN THE NUMBER OF PIED-BILLED GREBES WAS IDENTIFIED The number of pied-billed grebes increased by 20.1 birds from annual means of 7.1 to 27.2 birds (an increase by 283 percent) over 10 years, from 2003 to 2012. Regression results were not statistically significant for the entire data set from 1992 through 2013. Regression was statistically significant for a subset of the data from 2003 through May 18, 2013. WHITE IBIS 180 160 140 120 100 80 60 40 20 0 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 THE NUMBER OF WHITE IBISES WAS TOO VARIABLE TO IDENTIFY A TREND. No regression was plotted, because the regression results were not statistically significant. Attachment 1 - 12 DETERMINATION OF USEFUL REGRESSION RESULTS R Square (=R2) The overall regression accuracy can be determined by R2. It identifies the proportion of how well the regression line approximates the real data points. R2 values range from 0 to 100 %. An R2 value of 0 means no linear relationship exists in these linear regression models. An R2 value of 1 means the regression line perfectly fits the data. So the higher the R2 the more accurate the model. Regression models for analysis of wildlife surveys results are sufficiently accurate if R2 values are greater than or equal to 0.15. This means that at least 15% of the variation in the number of animals is explained by the regression model. Significance of F This statistic measures the probability (p) that the regression coefficients (slope and intercept) equal zero; therefore, a small Significance of F confirms the validity of the model. Regression models for this analysis of wildlife survey results are significant if p is less than 0.05 (p<0.05). This means that there is less than a 5% chance that the Regression output was merely a chance occurrence. Useful regressions are defined as results with R2 >= 0.15 and Signficance of F <0.05 Useful Regression Animal Florida manatee Florida alligator Suwannee cooter turtle Snakes Great egret Green heron Little blue heron Snowy egret Snowy egret for subset of 2005 to May, 2013 Tricolored heron Yellow-crowned night heron American widgeon Blue-winged teal Hooded merganser Lesser scaup Woodduck American coot Common moorhen Purple gallinule Anhinga Double-crested cormorant Limpkin Osprey Pied-billed grebe Pied-billed grebe for subset of 2003 to May, 2013 White ibis Attachment 1 - 13 Rsquare 0.483 0.514 0.063 0.068 0.111 0.304 0.181 0.162 0.575 0.174 0.148 0.293 0.198 0.069 0.188 0.229 0.178 0.284 0.261 0.545 0.104 0.604 0.000 0.163 0.520 0.168 Significance of F < 0.001 < 0.001 0.335 0.300 0.089 < 0.001 0.005 0.013 < 0.001 0.008 0.024 < 0.001 0.002 0.303 0.005 < 0.001 0.006 < 0.001 < 0.001 < 0.001 0.110 < 0.001 0.998 0.013 <0.001 0.010 ATTACHMENT 2 - Analysis of Medians Using the Mann-Whitney Test by Bob Thompson and Rick Copeland, revised August 23, 2013 INTRODUCTION Conover (1999) stated that the Mann-Whitney (MW) test is an excellent statistical procedure to test if two randomly obtained samples are from two different populations. That is, it tests the null hypothesis that the two populations are identical versus the alternate hypothesis that the two populations are different. If the sample sets consist of ordinal data (e.g. data sorted from lowest to largest), then the MW test determines if there is a difference in the central location (e.g. the median or the mean) of the two populations. Does one population tend to yield larger values than the other population? Are the two medians (or the two means) equal? In order to conduct the MW test, one must do the following. Combine the data from the two samples into a single sorted sample. Keep track of which population each observation comes from. Assign ranks to the values in the combined sample from smallest to the largest. Take the sum of all of the ranks (lowest value equal one, second lowest value equals two and so on) assigned to those values, from either one of the two samples. If the sum of the ranks is too small (or too large) relative to a hypothetical value of the sum (based on the size n of the selected sample), there is an indication that the values from the selected population tend to be smaller (or larger) than the values form the other population. The assumptions for the MW test are: (1) Both samples are obtained randomly from their respective populations, (2) The samples are independent, and (3) The measurement scale is at least ordinal. For the bird count surveys, it is assumed that the data in the two samples are obtained randomly and independently of each other. By sorting the data, the third requirement is met. A way to imagine what is happening in MW procedure is to think of two decks of cards. One is red and one is blue. Assume that the two decks are perfectly shuffled and that the card on the bottom is red, the second card is blue, the third is red, and so on. Suppose the cards in the shuffled deck are each given a rank score based on the ascending order of the card in the shuffled deck. Thus the blue card at the bottom is ranked one; the red card next to the bottom is ranked two; the blue (third) card is ranked three, and so on. Likewise, the next to last card is red and is ranked 103. The last card is red and is ranked 104. The median ranked value of the red deck is 52, while the median ranked value of the blue deck is 53. A Minitab printout of MW test results are provided below for this example of a shuffled deck of red and blue cards. Minitab is a commercial statistical software that includes the MW test. Red Blue N 52 52 Median 52.00 53.00 Point estimate for ETA1-ETA2 is -1.00 95.0 Percent CI for ETA1-ETA2 is (-13.01,11.01) W = 2704.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.8683 The null hypothesis being tested is that the median of red deck is equal to the median of blue one. The alternate hypothesis is that the two medians are not equal. The sample size for each deck of cards is 52. Minitab refers to the two medians as ETA1 and ETA2. The term “W” is the test statistic and represents the sum of the ranks of the deck (red) with the lowest sum. At a confidence of 95%, Minitab produces a confidence interval (CI) about the difference in the two medians (not needed for our example) and the probability that for the decks of cards, the medians are the same. This probability is referred to as the p-val. Another way of thinking about the p-val is that it is the Attachment 2 - 1 probability that the null hypothesis is true, based on the information supplied in the two samples. The p-val above indicates that there is an 86.83% probability that the null hypothesis is true. Now imagine that the two decks are not shuffled at all. The red deck is at the bottom, while the blue deck is on the top. Suppose the cards in the non-shuffled deck are again, given ranked values. The bottom card is ranked one, the second is ranked two, and so on. The lowest rank for the red deck is one, while the highest is ranked 52. For the blue deck, the lowest rank is 53, while the highest is 104. Under this scenario, the median ranked value of the red deck is 26.5. The median value of the blue deck is 78.5 A Minitab printout of MW test results are provided below for this example of a nonshuffled deck of red and blue cards. Red Blue N 52 52 Median 26.50 78.50 Point estimate for ETA1-ETA2 is -52.00 95.0 Percent CI for ETA1-ETA2 is (-58.00,-46.00) W = 1378.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000 The resulting p-value is 0.000. Based on the example, data from the two decks of cards, the probability that the null hypothesis is true (the medians are equal) is less than 0.01%. This means that, not only are their medians different, but so are their ranks and their distributions. Most environmental data are not normally distributed. The MW test is a nonparametric - test, meaning that it is designed to evaluate data where there is no assumption regarding the shape of the distribution. Therefore, the MW test is desirable test for testing the equality of medians of environmental data. It should be noted that another nonparametric test is often used in place of the MW test. It is referred to the Wilcoxon Rank Sum test and it produces results that are identical to the MW test. Either method can be used to test the equality of medians WAKULLA SPRINGS WILDLIFE SURVEY MANN-WHITNEY RESULTS The wildlife monitoring data is not normally distributed, so the nonparametric Man-Whitney test was used to determine if the number of animal in two evenly divided time periods for each animal are equal. The test used medians as the measure of central tendency. A median is the middle number in a sorted list of numbers; they are less influenced by outliers than means. If the changes in medians were statistically significant (p<0.05) they were identified in the table below as 'DECREASING' or 'INCREASING'. Insignificant changes were not identified as 'Decreasing' or 'Increasing'. It is important to understand for interpretation of test results that are not significant, that even though the medians are numerically different they are considered to be equal based on the statistical test. Animal Florida Manatee # of Number of animals Time periods surveys Range Median Change in medians/Significance 2003-2007 33 0-7 0 INCREASING 2008-2012 63 0 - 29 4 Significant (p<0.05) Test results: Point estimate for ETA1-ETA2 is -3.000; 95.1 Percent CI for ETA1-ETA2 is (-6.001,0.000); W = 1047.5; Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000; The test is significant at 0.0000 (adjusted for ties) American alligator 1995-2003 2004-2012 90 109 1 - 68 2 - 49 33 17 DECREASING Significant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 16.000; 95.0 Percent CI for ETA1-ETA2 is (13.000,19.998); W = 12357.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000; The test is significant at 0.0000 (adjusted for ties) (Continued on next page) Attachment 2 - 2 Animal Cooter turtle # of Number of animals Time periods surveys Range Median Change in medians/Significance 1993-2002 92 0 - 55 17 Change in medians not 2003-2012 120 0 - 12 19 significantly different (p<0.05) Test results: Point estimate for ETA1-ETA2 is -1.000; 95.0 Percent CI for ETA1-ETA2 is (-3.999,3.002); W = 9658.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.7535; The test is significant at 0.7534 (adjusted for ties) Snakes 1993-2002 2003-2012 92 120 0 - 10 0 - 28 0 No change in medians 0 0-7 0 - 24 2 No change in medians 2 The test was not conducted because the medians did not change. Great egret 1993-2002 2003-2012 92 120 The test was not conducted because the medians did not change. Green heron 1995-2003 2004-2012 90 109 0 - 17 0 - 11 3.5 DECREASING 2.0 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 1.000; 95.0 Percent CI for ETA1-ETA2 is (1.000,2.000); W = 10705.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000; The test is significant at 0.0000 (adjusted for ties) Little blue heron 1995-2002 2004-2012 90 109 0 - 12 0 - 23 3 INCREASING 5 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is -1.000; 95.0 Percent CI for ETA1-ETA2 is (-2.001,-0.001); W = 7995.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0130; The test is significant at 0.0125 (adjusted for ties) Snowy egret 2005-2008 2009-2012 44 52 0-7 0-5 2.5 DECREASING 0 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 2.000; 95.1 Percent CI for ETA1-ETA2 is (1.000,3.000); W = 2816.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000; The test is significant at 0.0000 (adjusted for ties) Tricolored heron 1993-2002 2003-2012 92 120 0 - 10 0 - 26 1.5 DECREASING 1.0 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 1.000; 95.0 Percent CI for ETA1-ETA2 is (-0.000,1.000); W = 10842.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0184; The test is significant at 0.0154 (adjusted for ties) Yellow-crowned night heron 1993-2002 2003-2012 92 120 0 - 35 0 - 22 2.0 Change in medians not 1.0 significantly different (p<0.05) Test results: Point estimate for ETA1-ETA2 is -0.000; 95.0 Percent CI for ETA1-ETA2 is (0.000,1.000); W = 10609.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0669; The test is significant at 0.0604 (adjusted for ties) American widgeon 1993-2002 2003-2012 92 120 0 - 841 0 - 500 1.0 DECREASING 0.0 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is -0.00; 95.0 Percent CI for ETA1-ETA2 is (0.02,7.00); W = 11326.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0006; The test is significant at 0.0001 (adjusted for ties) Blue winged teal 2001-2006 2007-2012 65 76 0 - 52 0 - 14 0 No change in medians 0 0 - 91 0 - 69 0 No change in medians 0 0 - 100 0-6 0.0 No change in medians 0.0 The test was not conducted because the medians did not change. Hooded merganser 1993-2002 2003-2012 95 106 The test was not conducted, because the medians did not change. Lesser scaup 1993-2002 2003-2012 80 120 The test was not conducted, because the medians did not change. Woodduck 1997-2004 2005-2012 79 98 0 - 58 0 - 48 11.0 DECREASING 07.5 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 4.000; 95.0 Percent CI for ETA1-ETA2 is (0.001,8.000); W = 7891.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0112; The test is significant at 0.0109 (adjusted for ties) (Continued on next page) Attachment 2 - 3 Animal American coot # of Number of animals Time periods surveys Range Median Change in medians/Significance 1993-2002 80 0 - 214 14.5 Change in medians not 2003-2012 132 0 - 501 2.5 significantly different (p<0.05) Test results: Point estimate for ETA1-ETA2 is 0.00; 95.0 Percent CI for ETA1-ETA2 is (-0.00,2.01); W = 8927.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.3472; The test is significant at 0.3384 (adjusted for ties) Common moorhen 2000-2006 2007-2012 77 18 - 197 76 30 - 177 85.0 DECREASING 65.6 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 14.00; 95.0 Percent CI for ETA1-ETA2 is (5.01,24.00); W = 6715.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0042; The test is significant at 0.0041 (adjusted for ties) Purple gallinule 1993-2002 2003-2012 92 120 0-9 0 - 16 0 No change in medians 0 The test was not conducted, because the medians did not change. Anhinga 1993-2002 2003-2012 80 132 0 - 53 0 - 34 24.5 DECREASING 12.0 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 12.000; 95.0 Percent CI for ETA1-ETA2 is (10.000,15.001); W = 11992.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000; The test is significant at 0.0000 (adjusted for ties) Double crested cormorant 1993-2002 2003-2012 92 120 0 - 14 0-9 2.0 Change in medians not 1.0 significantly different (p<0.05) Test results: Point estimate for ETA1-ETA2 is 0.000; 95.0 Percent CI for ETA1-ETA2 is (0.000,1.000); W = 10616.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0646; The test is significant at 0.0599 (adjusted for ties) Limpkin 1993-2002 2003-2012 92 120 0 - 18 0-4 1.0 DECREASING 0.0 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is 1.000; 95.0 Percent CI for ETA1-ETA2 is (1.000,2.000); W = 12939.5 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0000; The test is significant at 0.0000 (adjusted for ties) Osprey 1993-2002 2003-2012 92 120 0-9 0-9 0.5 Change in medians not 0.0 significantly different (p<0.05) Test results: Point estimate for ETA1-ETA2 is -0.0000; 95.0 Percent CI for ETA1-ETA2 is (-0.0001,-0.0002); W = 9970.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.6984; The test is significant at 0.6766 (adjusted for ties) Pied billed grebe 2003-2007 2008-2012 56 64 0 - 28 0 - 54 58 INCREASING 17.5 Signficant (p<0.05) Test results: Point estimate for ETA1-ETA2 is -7.000; 95.1 Percent CI for ETA1-ETA2 is (-12.002,-3.002); W = 2714.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0004; The test is significant at 0.0004 (adjusted for ties) White ibis 1993-2002 2003-2012 90 120 0 - 114 0 - 169 7.0 Change in medians not 9.5 significantly different (p<0.05) Test results: Point estimate for ETA1-ETA2 is -2.00; 95.0 Percent CI for ETA1-ETA2 is (-5.00,0.00); W = 9147.0 Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.1417; The test is significant at 0.1404 (adjusted for ties) The rest of this page intentionally left blank Attachment 2 - 4