25.01.2014 Views

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

SHOW MORE
SHOW LESS

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!