Statistical Analysis of Trends in the Red River Over a 45 Year Period

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selkirk dspc POINTS: RECORDED DATA LINE: STREAMFLOW−RELATED ANOMALY + TREND CONCENTRATION, AS BASE−10 LOGARITHM 2 2.5 3 3.5 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● CONCENTRATION, AS BASE−10 LOGARITHM 2 2.5 3 3.5 ●● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 1975 1980 1985 1990 1995 2000 2005 2010 1975 1980 Y + TREND ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● selkirk Figure dspc A.92: Specific Conductance concentrations (points) and streamflow related anomaly + trend (line) CONCENTRATION, CONCENTRATION, AS BASE−10 BASE−10 LOGARITHM LOGARITHM 2 2 2.5 2.5 3 3 3.5 3.5 POINTS: SEASONALLY ADJUSTED AND FLOW−ADJUSTED DATA LINE: TREND ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ●● ● ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● POINTS: SEASONALLY ADJUSTED AND DETRENDED DATA LINE: ANNUAL STREAMFLOW−RELATED ANOMALY ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ●● ● ●● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● 1975 1980 1985 1990 1995 2000 2005 2010 ● ● ● RESIDUAL −4 −3 −2 −1 0 1 2 3 4 ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● 1975 1980 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 2000 2005 2010 1975 1980 1985 1990 1995 2000 2005 2010 ADJUSTED DATA ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● Figure A.93: Specific Conductance Flow Adjustments — Seasonally adjusted and 0 1 2 3 4 ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● POINTS: PARMA MODEL RESIDUALS LINE: LOWESS SMOOTH WITH F= 0.5 de-trended data (points) and annual streamflow-related anomaly (line). SIDUAL ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● 106 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
CONCENT ! CONCENT 2 2 selkirk dspc 1975 1980 1985 1990 1995 2000 2005 2010 POINTS: SEASONALLY ADJUSTED AND FLOW!ADJUSTED DATA LINE: TREND 1975 1980 + TREND ! ! ! ! ! ! !! !! ! ! ! ! ! ! ! ! ! ! ! ! ! 2000 2005 2010 JUSTED DATA CONCENTRATION, CONCENTRATION, AS BASE!10 BASE!10 LOGARITHM LOGARITHM 2 2 2.5 2.5 3 3 3.5 3.5 ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! !! ! ! ! ! !! ! !! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! !! ! ! !! ! !! ! !! !! ! ! ! ! !! !! !! ! ! ! ! ! ! ! !! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! !! ! !! ! !! ! ! ! ! ! ! !! ! ! ! ! ! ! !! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! !! ! !! !! !! ! ! !! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! !! ! ! ! ! ! !! ! ! !!! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! !! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! POINTS: SEASONALLY ADJUSTED AND DETRENDED DATA LINE: ANNUAL STREAMFLOW!RELATED ANOMALY 1975 1980 1985 1990 1995 2000 2005 2010 1975 1980 1985 1990 1995 2000 2005 2010 Figure A.94: Specific Conductance Flow Adjustments — Seasonally adjusted and flow adjusted data (points) and trend (line). POINTS: PARMA MODEL RESIDUALS LINE: LOWESS SMOOTH WITH F= 0.5 RESIDUAL !4 !3 !2 !1 0 1 2 3 4 ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! 1975 1980 ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! !! ! ! ! ! !! ! ! ! ! ! ! 2000 2005 2010 RESIDUAL !4 !3 !2 !1 0 1 2 3 4 ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !! !! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! 1975 1980 1985 1990 1995 2000 2005 2010 ! ! Figure A.95: Specific Conductance Flow Adjustments — Parametric no-trend model residuals (points) and lowess smooth line with F = 0.5. 107
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Statistical Analysis of Trends in t
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5 Comparison of Non-Parametric and
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List of Figures 1.1 The Red River B
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A.8 Boxplot of Specific Conductance
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A.41 Dissolved Calcium Flow Adjustm
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A.67 Dissolved Sulphate Flow Adjust
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A.93 Specific Conductance Flow Adju
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Mann-Kendall or Seasonal Mann-Kenda
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Using ancillary data, data obtained
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Chapter 1 Introduction The Red Rive
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oped by Aldo Vecchia (United States
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Chapter 2 Streamflow Data and Conce
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Table 2.1: Selected characteristics
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of testing for seasonality. If it y
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Table 2.3: Sample size of stations
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Figure 3.1: Mean monthly streamflow
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v.1.56. CAS# n/a WQStat Plus TM BOX
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concentrations of major anions and
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Table 3.3: Kruskal-Wallis test for
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The N ′ individual slope estimate
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As most parameters consistently exh
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Table 3.4: Seasonal Mann-Kendall Te
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Chapter 4 Parametric Methods used f
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log denotes the base-10 logarithm;
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Figure 4.1: Daily Streamflow at Eme
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Figures 4.3-4.8 depict the recorded
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1 1 CONCENTR CONCENTR 1955 1960 196
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Table 4.1: Fitted Single Linear Tre
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Chapter 5 Comparison of Non-Paramet
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5.2 Future Recommendations First an
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• Uses full power of the maximum
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Hamed, Khaled.,; 2008, Trend Detect
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Appendix A Figures A.1 Boxplots of
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v.1.56. CAS# n/a WQStat Plus TM BOX
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Figure A.7: Boxplot of Total Dissol
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v.1.56. CAS# n/a WQStat Plus BOX &
Page 73 and 74: Figure A.13: Seasonality pattern of
Page 75 and 76: A.3 Non-Parametric Trend Results Th
Page 77 and 78: Figure A.19: Long term temporal tre
Page 85 and 86: A.4 Parametric Trend Results The fo
Page 87 and 88: Figure A.31: Dissolved Sodium at Em
Page 89 and 90: Figure A.33: Dissolved Magnesium at
Page 91 and 92: Figure A.35: Dissolved Chloride at
Page 93 and 94: Figure A.37: Specific Conductance a
Page 95 and 96: 05102500 RED RIVER OF THE NORTH AT
Page 97 and 98: 1 1 CONCENTR CONCENTR 500 RED RIVER
Page 99 and 100: CONCENTR 500 RED RIVER OF THE NORTH
Page 103 and 104: CONCENTR ● CONCENTR 0 0 1955 1960
Page 105 and 106: CONCENTR CONCENTR 00 RED RIVER OF T
Page 109 and 110: CONCENTR 1 1.5 ! ! ! ! !! ! ! ! ! !
Page 111 and 112: CONCENTR 0.5 1 ! ! ! ! !! ! !! ! !
Page 115 and 116: CONCENTR ! ! ! ! ! ! ! ! ! ! ! ! !
Page 117 and 118: CONCENTR ! CONCENTR 2 2 1955 1960 1
Page 119 and 120: A.5.2 South Floodway at St. Norbert
Page 121 and 122: CONCENT ! CONCENT 2 2 floodway dspc
Page 123: A.5.3 Selkirk Monitoring Station 10
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Statistical Analysis of Trends in the Red River Over a 45 Year Period

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