IUI Kver with watershed area 6230 kmdan Northwestern Ontario, find the median and mode-slass below in the table Compute statistical parameters (mean, variance, coeffie lag one correlation coefficient) for the discrete flow da Based on the assumption that the 42-year of flow data distribution (that is a theoretical distribution of flow be flow estimates the corresponding probability of occurme Year Flow (m/s) Year 1976 1977 138 79 1997 1998 1978 163 1999 1979 1980 1981 1982 1983 164 70.7 75 2001 2002 2003 2004 2005 112 96 2 118 245 2006 2007 2008 1984 1985 1986 1987 186 47.9 2009 1988 245 2010 1989 185 2011 2012 2013 2014 2015 2016 201 1990 152 1991 102 1992 222 1993 140 100 1994 1995 106 210 1996 201

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Understanding Single Station Flood Frequency Analysis in Estimating Flood Events

For the flow dataset (42-years of annual flow values) described earlier: (a) fit the normal distribution to this
data set on a normal probability paper and show computations in a tabular form, (b) fit the log-normal
distribution to this data set on a log-normal probability paper and show computations in a tabular form, (c) for
both of the fitted distributions, compute the 90% confidence limits for the fitted probability curves and also
show computations in a tabular form.
In each case as listed above predict the 100-year, 150-year, and 200-year floods and compare results and how
comparable are these results?

Analyse
For the English River with watershed area 6230 km'and located in Thunder Bay district of
Northwestern Ontario, find the median and mode-class of the discrete flow dataset as summarized
below in the table
Compute statistical parameters (mean, variance, coefficients of skewness, kurtosis, variation, and the
lag one correlation coefficient) for the discrete flow data set as summarized below in the table
(c)
Based on the assumption that the 42-year of flow data of the English River follow a normal probability
distribution (that is a theoretical distribution of flow being a continuous variable), compute the peak
flow estimates the corresponding probability of occurrence of 0.2,0.1, and 0.01.
887
(d)
Year
Flow (m'/s) Year Flow (m'/s)
1976
1977
138
1997
1998
144
79
69.4
1978
163
164
70.7
1999
132
152
1979
2001
2002
1980
224
1981
1982
75
2003
112
96.2
201
90.4
223
2004
1983
2005
1984
1985
118
2006
171
245
2007
154
1986
186
2008
175
197
1987
47.9
2009
1988
245
2010
222
185
2011
84.4
172
1989
1990
152
2012
102
2013
2014
191
1991
1992
222
201
1993
140
2015
235
1994
100
2016
125
1995
106
2017
90.8
1996
210
2018
121
Transcribed Image Text:Analyse For the English River with watershed area 6230 km'and located in Thunder Bay district of Northwestern Ontario, find the median and mode-class of the discrete flow dataset as summarized below in the table Compute statistical parameters (mean, variance, coefficients of skewness, kurtosis, variation, and the lag one correlation coefficient) for the discrete flow data set as summarized below in the table (c) Based on the assumption that the 42-year of flow data of the English River follow a normal probability distribution (that is a theoretical distribution of flow being a continuous variable), compute the peak flow estimates the corresponding probability of occurrence of 0.2,0.1, and 0.01. 887 (d) Year Flow (m'/s) Year Flow (m'/s) 1976 1977 138 1997 1998 144 79 69.4 1978 163 164 70.7 1999 132 152 1979 2001 2002 1980 224 1981 1982 75 2003 112 96.2 201 90.4 223 2004 1983 2005 1984 1985 118 2006 171 245 2007 154 1986 186 2008 175 197 1987 47.9 2009 1988 245 2010 222 185 2011 84.4 172 1989 1990 152 2012 102 2013 2014 191 1991 1992 222 201 1993 140 2015 235 1994 100 2016 125 1995 106 2017 90.8 1996 210 2018 121
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