Statistical Analysis of Trends in the Red River Over a 45 Year Period
Statistical Analysis of Trends in the Red River Over a 45 Year Period
Statistical Analysis of Trends in the Red River Over a 45 Year Period
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
1<br />
1<br />
CONCENTR<br />
CONCENTR<br />
500 RED RIVER OF THE NORTH AT EMERSON, MANITOBA<br />
dcalc<br />
1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />
POINTS: SEASONALLY ADJUSTED AND FLOW−ADJUSTED DATA<br />
LINE: TREND<br />
1955 1960 196<br />
+ TREND<br />
●<br />
●<br />
●<br />
● ● ●● ●<br />
● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
●●<br />
● ● ● ● ● ● ●<br />
● ●● ●<br />
●<br />
●<br />
●<br />
● ● ●<br />
●<br />
● ●<br />
●<br />
●<br />
● ● ●● ● ●<br />
●<br />
●<br />
●●<br />
● ● ●●<br />
● ●<br />
● ●●<br />
●<br />
● ●<br />
● ● ●<br />
●<br />
● ●●<br />
●●<br />
● ●● ●<br />
● ● ● ● ● ●●● ● ●<br />
●<br />
●<br />
● ● ●●● ● ●●<br />
●<br />
●<br />
● ● ●<br />
●●<br />
● ● ●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
●●<br />
● ●<br />
●●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
1995 2000 2005 2010<br />
●<br />
CONCENTRATION, CONCENTRATION, AS BASE−10 BASE−10 LOGARITHM LOGARITHM<br />
1 1 1.5 1.5 2 2 2.5 2.5<br />
POINTS: SEASONALLY ADJUSTED AND DETRENDED DATA<br />
LINE: ANNUAL STREAMFLOW−RELATED ANOMALY<br />
●<br />
● ●● ●●<br />
●<br />
● ● ● ● ●●● ● ●● ● ●<br />
●● ●● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●● ●<br />
● ● ●●<br />
●<br />
●●<br />
●●<br />
●<br />
●● ● ● ●● ● ●● ●<br />
●<br />
●● ●●●● ● ● ●● ● ●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
●● ●● ● ●● ●<br />
●<br />
●<br />
●●<br />
●● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ●<br />
● ● ● ●<br />
●<br />
●<br />
●●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ● ●<br />
●● ● ●●<br />
●<br />
● ● ●<br />
● ● ●<br />
●<br />
●●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
● ● ● ●<br />
● ●<br />
●<br />
●<br />
●● ●<br />
●<br />
● ●●<br />
●<br />
●● ●<br />
● ●<br />
● ●<br />
● ● ●●● ● ● ● ● ●● ●<br />
●<br />
● ● ● ●<br />
●● ●● ●●<br />
● ● ●● ● ● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●●<br />
● ● ●● ● ●● ●<br />
●<br />
●● ●●●● ● ● ● ● ● ● ● ● ●<br />
●●<br />
●● ● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●●<br />
● ●<br />
● ● ●●<br />
●● ●<br />
●<br />
● ●<br />
●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●●<br />
● ● ●<br />
●<br />
● ●<br />
● ● ● ●<br />
● ● ●<br />
● ●<br />
●<br />
●● ● ● ●<br />
●<br />
●<br />
● ● ●●<br />
● ●<br />
●<br />
●<br />
● ● ● ● ● ● ● ● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
● ● ●<br />
● ●<br />
●●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●<br />
● ●<br />
● ●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ●<br />
●<br />
● ● ●●● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
● ● ●<br />
●<br />
● ●<br />
● ● ●●<br />
●<br />
● ●<br />
●<br />
● ●<br />
● ●● ● ● ● ●<br />
●<br />
●<br />
● ● ● ●<br />
● ● ● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ●<br />
● ●<br />
●<br />
●<br />
● ●<br />
●●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
● ●<br />
● ● ●<br />
●●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●● ● ●<br />
●<br />
●<br />
●<br />
●<br />
● ● ●●<br />
●<br />
●<br />
● ●<br />
● ●<br />
●● ●● ● ● ● ● ●<br />
● ● ●<br />
●<br />
● ●<br />
●<br />
● ●<br />
● ● ●<br />
●<br />
●<br />
● ● ● ● ● ● ● ●<br />
●<br />
● ●<br />
● ●<br />
● ●<br />
●●<br />
●<br />
● ● ● ●<br />
● ● ●<br />
●<br />
●<br />
● ● ● ● ●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ●<br />
●<br />
● ●<br />
●●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
● ● ● ●<br />
●<br />
●<br />
●● ●<br />
● ● ● ● ● ●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ● ● ● ●<br />
●● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ● ●<br />
● ● ● ●<br />
●<br />
●<br />
●● ●<br />
● ● ● ● ● ● ● ●<br />
● ● ●<br />
● ● ● ●<br />
●<br />
●<br />
●● ●<br />
●<br />
● ● ●<br />
● ●<br />
● ● ● ●<br />
●<br />
●<br />
●<br />
● ●<br />
● ●●<br />
●<br />
● ● ● ●<br />
● ●<br />
●<br />
● ●<br />
●<br />
●<br />
1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />
Figure A.42: Dissolved Calcium Flow Adjustments — Seasonally adjusted and flow<br />
1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />
adjusted data (po<strong>in</strong>ts) and s<strong>in</strong>gle trend (l<strong>in</strong>e).<br />
●<br />
●●<br />
●<br />
● ● ●<br />
●<br />
● ●<br />
●●<br />
●<br />
●<br />
RESIDUAL<br />
−4 −3 −2 −1 0 1 2 3 4<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●● ●<br />
●<br />
●<br />
●●<br />
● ● ●<br />
● ●<br />
● ● ●●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●● ●●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●<br />
●<br />
● ●●<br />
1955 1960 196<br />
● ● ●<br />
●<br />
●<br />
●<br />
DJUSTED DATA<br />
POINTS: PARMA MODEL RESIDUALS<br />
LINE: LOWESS SMOOTH WITH F= 0.5<br />
● ● ●● ● ● ●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
● ●<br />
●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ●<br />
● ●<br />
●<br />
● ●<br />
● ●<br />
●● ● ●●<br />
● ● ●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ● ●● ●<br />
● ● ● ● ● ●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ● ● ● ●<br />
●● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
● ● ●<br />
● ●<br />
●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
1995 2000 2005 2010<br />
●<br />
RESIDUAL<br />
−4 −3 −2 −1 0 1 2 3 4<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
● ●<br />
● ● ●<br />
● ● ●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●● ●<br />
●<br />
●<br />
●●<br />
● ● ●<br />
● ●<br />
● ●● ● ●<br />
● ● ●●<br />
●<br />
●<br />
●<br />
●<br />
●● ●●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●●<br />
● ●<br />
●●<br />
●<br />
●<br />
●<br />
●●<br />
●<br />
●<br />
●<br />
●<br />
●● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
● ●<br />
●<br />
● ●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
● ●<br />
●<br />
●●<br />
● ●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
● ● ●<br />
● ●<br />
●<br />
●●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●● ●<br />
●<br />
● ●<br />
● ●<br />
●<br />
● ●<br />
● ●<br />
● ●●<br />
● ● ●<br />
●<br />
●<br />
● ● ●<br />
● ● ●<br />
●<br />
● ● ●● ●<br />
●<br />
●<br />
●<br />
● ●●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
● ● ● ● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ● ●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●●<br />
● ● ● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●<br />
●<br />
●●<br />
●<br />
● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
●<br />
● ● ● ● ●<br />
● ●<br />
● ● ●●<br />
●●<br />
●<br />
●<br />
● ● ●<br />
●<br />
● ● ● ● ●<br />
● ●<br />
● ● ●<br />
●<br />
●●<br />
● ● ●<br />
● ●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ● ● ● ●●<br />
● ●●<br />
●<br />
● ● ●<br />
● ● ●<br />
● ●<br />
● ●● ●<br />
●<br />
● ●<br />
● ●● ● ●●<br />
● ●●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ●<br />
● ● ●<br />
●<br />
●<br />
● ●<br />
● ● ●●<br />
●<br />
● ● ●<br />
●<br />
● ● ●<br />
●<br />
●<br />
● ●<br />
● ●<br />
● ●<br />
●<br />
●<br />
● ● ● ●<br />
●<br />
●<br />
●<br />
● ●<br />
● ●<br />
● ● ●<br />
●<br />
●<br />
●●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
● ● ●<br />
●<br />
●<br />
●●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
● ●●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
● ●<br />
●<br />
● ●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
●<br />
Figure A.43: Dissolved Calcium Flow Adjustments — Parametric s<strong>in</strong>gle trend model<br />
residuals (po<strong>in</strong>ts) and lowess smooth l<strong>in</strong>e with F = 0.5.<br />
79