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Summation or integration in richter's frequency-magnitude equation: It is all the same—Reply
136
Moran,
P.A.P.,
Munera,
H.A.,
generation.
1968. An Introduction 1984. Actual To appear
to Probability
and perceived
in the Proceedings
Energy Systems,
held in Julich (Federal
Energy
Vienna,
Agency.
Austria,
Theory.
low-probability
Clarendon hazards
of the International Republic
Press, Oxford.
of hydro
Symposium
of Germany),
9-13
542 pp.
and nuclear
electric
power
on the Risks and Benefits of
April 1984. International
Atomic
in press.
SUMMATION OR INTEGRATION IN RICHTER’S FREQUENCY-MAGNITUDE EQUATION: IT IS ALL THE SAMEREPLY
MARKUS
BATH
Seismological (Received
Section
Box i20i9,
May 16, 1984; accepted
S-750
I2 Uppsaia (Sweden)
August
13, 1984)
It is good to see that my papers on earthquake recurrence relations have stimulated a discussion, even if it only concerns a minor improvement. The purpose of my research was to get theoretical expressions for comparison with observations. In observational seismology, we are always concerned with finite magnitude
intervals.
quate procedure,
Then
summations,
both theoretically
not integrations,
and observationally.
several examples, this procedure yields a perfect observations. And the goal has been reached.
appeared
to be the ade-
As I have demonstrated
agreement
between
theory
That integrations will give results identical with summations is to be expected, this is a result of theoretical interest rather than of observational significance.
on and but
It may be added that the simple relation log n, = a - bm is adequate for regions of a relatively low seismic activity, like Sweden, whereas it does not strictly apply to regions of a much higher activity, developed
formulas
like Turkey (Bath, 1981). Also in such cases, I have
to fit the observations.
REFERENCE
Bath, M., 1981. Earthquake
OWO-1951/85,‘$03.30
recurrence
of a particular
type. Pure Appt. Geophys.,
0 1985 Efsevier Science Publishers
B.V.
119: 1063-1076.
Moran,
P.A.P.,
Munera,
H.A.,
generation.
1968. An Introduction 1984. Actual To appear
to Probability
and perceived
in the Proceedings
Energy Systems,
held in Julich (Federal
Energy
Vienna,
Agency.
Austria,
Theory.
low-probability
Clarendon hazards
of the International Republic
Press, Oxford.
of hydro
Symposium
of Germany),
9-13
542 pp.
and nuclear
electric
power
on the Risks and Benefits of
April 1984. International
Atomic
in press.
SUMMATION OR INTEGRATION IN RICHTER’S FREQUENCY-MAGNITUDE EQUATION: IT IS ALL THE SAMEREPLY
MARKUS
BATH
Seismological (Received
Section
Box i20i9,
May 16, 1984; accepted
S-750
I2 Uppsaia (Sweden)
August
13, 1984)
It is good to see that my papers on earthquake recurrence relations have stimulated a discussion, even if it only concerns a minor improvement. The purpose of my research was to get theoretical expressions for comparison with observations. In observational seismology, we are always concerned with finite magnitude
intervals.
quate procedure,
Then
summations,
both theoretically
not integrations,
and observationally.
several examples, this procedure yields a perfect observations. And the goal has been reached.
appeared
to be the ade-
As I have demonstrated
agreement
between
theory
That integrations will give results identical with summations is to be expected, this is a result of theoretical interest rather than of observational significance.
on and but
It may be added that the simple relation log n, = a - bm is adequate for regions of a relatively low seismic activity, like Sweden, whereas it does not strictly apply to regions of a much higher activity, developed
formulas
like Turkey (Bath, 1981). Also in such cases, I have
to fit the observations.
REFERENCE
Bath, M., 1981. Earthquake
OWO-1951/85,‘$03.30
recurrence
of a particular
type. Pure Appt. Geophys.,
0 1985 Efsevier Science Publishers
B.V.
119: 1063-1076.