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
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livestock data for <strong>the</strong> <strong>Red</strong> <strong>River</strong> are reported by <strong>the</strong> National Agricultural Statistics<br />
Service, this available data can be <strong>in</strong>corporated <strong>in</strong>to QWTREND and allows one to<br />
have more <strong>of</strong> an explanation as to why certa<strong>in</strong> fitted trends make sense. For example,<br />
if <strong>the</strong>re has been an <strong>in</strong>crease <strong>in</strong> <strong>the</strong> amount <strong>of</strong> cattle <strong>in</strong> an area surround<strong>in</strong>g <strong>the</strong> <strong>Red</strong><br />
<strong>River</strong>, does that expla<strong>in</strong> a certa<strong>in</strong> percent <strong>in</strong>crease <strong>in</strong> phosphorus concentration?<br />
Parametric time series analysis should be considered when complex trends appear<br />
<strong>in</strong> flow-adjusted concentrations and if sampl<strong>in</strong>g is highly variable from year to<br />
year. There are advantages and disadvantages to both methods for trend detection,<br />
<strong>the</strong>y are summarized below:<br />
Advantages <strong>of</strong> Non-Parametric Methods us<strong>in</strong>g WQSTAT:<br />
• Easy to compute<br />
• Requires few assumptions<br />
• Robust to outliers<br />
• Simple to use<br />
Disadvantages <strong>of</strong> Non-Parametric Methods us<strong>in</strong>g WQSTAT:<br />
• Not as powerful <strong>in</strong> detect<strong>in</strong>g trends<br />
• “Hydrologic” seasons must be clearly def<strong>in</strong>ed<br />
• Assumes monotonic trend<br />
• No flexibility for def<strong>in</strong><strong>in</strong>g trend lengths<br />
Advantages <strong>of</strong> Parametric Methods us<strong>in</strong>g QWTREND:<br />
• Can model complex trends<br />
• Good for explanatory and exploratory analysis<br />
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