Environmental Engineering Reference
In-Depth Information
Table 6.21
Statistics of homogeneity test (z-value) for selected variables
Runs test
Parameters
Station
z
95 % confidence interval (P value)
Precipitation
Barcelonnette
-2.063
.039
Discharge
Barcelonnette
-11.392
.000
Max-temperature
Barcelonnette
-16.014
.000
Min-temperature
Barcelonnette
-16.180
.000
Precipitation
Jausiers
-1.24
.216
Precipitation
Uvernet
-0.49
.620
Precipitation
Condamine
-0.39
.696
Precipitation
Allos
-1.66
.095
Precipitation
SainPaul
-1.78
.075
Median
6.12.2 Detection of Homogeneity
Statistical analysis was done on the available monthly data of precipitation,
maximum discharge (these data are maximum values of discharges which occurred
at the Barcelonnette station based on recorded hourly discharge), and maximum
temperature during the period from 1961 to 2009. Due to a lack of high temporal
resolution precipitation data, only the available monthly precipitation series was
used in this study. Z-score is known as a standardized value. To obtain z-scores for
a variable for each case, subtract the variable's mean value and divide it by the
standard deviation. Z-scores are useful for finding outliers and for comparing
values of variables that are measured on different scales. The Z value of the
homogeneity test was analyzed in the SPSS package. The z-score column is
compared to a standard normal table. Thus, at a 5 % significance level, a Z-score
with an absolute value greater than 1.96 indicates nonhomogeneous. The signifi-
cant values are presented in bold italic format. In the period between 1961 and
2009, three stations, Jausiers, Uvernet, and Condamine, represent nonsignificant Z-
values for precipitation. On the other hand, precipitation variables in Sain-Paul and
Allos-Nord represent significant Z-values. At the Barcelonnette station, the Z-
value is also significant with 95 % confidence in the lower and upper parts for
precipitation, discharge, and maximum/minimum temperature parameters. This
may imply the existence of abrupt climate change in these stations (Table 6.21 ).
At two other stations close to Barcelonnette, Allos-Nord and Saint Paul, there is
an abrupt point in precipitation where the descriptive statistics of the variables
(such as mean and variance) begin to change suddenly. To find the time of this
change, a sequential Mann-Kendall test was applied.
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