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The recurrence interval of an event is TA in annual series and Tp in partial-duration series, then
- a)TA is always smaller than TP
- b)Difference between TA and TP is negligible for TA < 5 years
- c)Difference between TA and TP is negligible for TA > 10 years
- d)Difference between TA and TP is negligible for TA > 100 years
Correct answer is option 'C'. Can you explain this answer?
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The recurrence interval of an event is TA in annual series and Tp in p...
And TP of the same order of magnitude
c)TA is always greater than TP
d)TA and TP are not related to each other
Answer:
b) Difference between TA and TP is negligible for TA and TP of the same order of magnitude.
Explanation:
Recurrence interval is the average time between two events of the same magnitude or higher. It can be calculated using different methods, including annual series and partial-duration series.
Annual series method assumes that the events occur randomly and independently in time, and calculates the recurrence interval as the inverse of the probability of the event occurring in any given year. The formula is:
TA = 1 / P(E)
where TA is the recurrence interval in years, and P(E) is the probability of the event occurring in any given year.
Partial-duration series method, on the other hand, only considers the events that exceed a certain threshold, and calculates the recurrence interval as the average time between such events. The formula is:
Tp = (n + 1) * ΔT / m
where Tp is the recurrence interval in years, n is the number of events that exceed the threshold, ΔT is the time span of the data in years, and m is the rank of the event (i.e., the number of events that exceed the threshold that have occurred before the current event).
TA and TP can be different because they use different data and assumptions. However, if the events are of the same magnitude or higher, and the data spans a similar time period, the difference between TA and TP can be negligible. Therefore, option b) is correct.
c)TA is always greater than TP
d)TA and TP are not related to each other
Answer:
b) Difference between TA and TP is negligible for TA and TP of the same order of magnitude.
Explanation:
Recurrence interval is the average time between two events of the same magnitude or higher. It can be calculated using different methods, including annual series and partial-duration series.
Annual series method assumes that the events occur randomly and independently in time, and calculates the recurrence interval as the inverse of the probability of the event occurring in any given year. The formula is:
TA = 1 / P(E)
where TA is the recurrence interval in years, and P(E) is the probability of the event occurring in any given year.
Partial-duration series method, on the other hand, only considers the events that exceed a certain threshold, and calculates the recurrence interval as the average time between such events. The formula is:
Tp = (n + 1) * ΔT / m
where Tp is the recurrence interval in years, n is the number of events that exceed the threshold, ΔT is the time span of the data in years, and m is the rank of the event (i.e., the number of events that exceed the threshold that have occurred before the current event).
TA and TP can be different because they use different data and assumptions. However, if the events are of the same magnitude or higher, and the data spans a similar time period, the difference between TA and TP can be negligible. Therefore, option b) is correct.
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The recurrence interval of an event is TA in annual series and Tp in partial-duration series, thena)TAis always smaller than TPb)Difference between TA and TP is negligible for TA < 5 yearsc)Difference between TAand TPis negligible for TA> 10 yearsd)Difference between TA and TP is negligible for TA > 100 yearsCorrect answer is option 'C'. Can you explain this answer?
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