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  Cycles of the Past Millennium: Time Scales 10 - 103 Years
             
The checking of the physical-empirical formula (2) showed that the structure of rhythms with 16 periods into an octave has determined terrestrial processes. The dendrochronological series was obtained in different mountain and northern regions of the former USSR. The harmonic components of these rows reflect climatic and solar system variations in the last 300 years (Table).

Table. Present intrasecular dendrochronological cycles (TD) in years:

N

K

Oct

TK(y)

TD(y)

T%

1

128

8

19.2

19

-0.77

1

160

10

76.6

76

-0.77

2

113

7

10.0

10

0.02

2

129

8

20.0

20

0.02

3

146

9

41.8

41

-1.82

4

115

7

10.9

11

0.92

4

131

8

21.8

22

0.92

4

147

9

43.6

44

0.92

4

163

10

87.2

88

0.92

5

164

10

91.1

92

1.00

6

117

7

11.9

12

0.92

6

133

8

23.8

24

0.92

6

149

9

47.6

47

-1.18

7

150

9

49.7

50

0.68

8

119

7

13.0

13

0.23

9

136

8

27.1

27

-0.30

10

121

7

14.1

14

-0.99

10

137

8

28.3

28

-0.99

11

122

7

14.8

15

1.63

12

139

8

30.8

31

0.52

12

155

9

61.7

62

0.52

13

140

8

32.2

32

-0.62

14

157

9

67.3

68

1.10

15

174

10

140.5

142

1.09

16

143

8

36.7

37

0.90

16

159

9

73.4

73

-0.48

 

The complexity of the climate system is too great for the creation of the prognostic physical-chemical models at present time. Climate oscillations depend not only on the energetic characteristics of the solar irradiance variations and terrestrial feedbacks but also on the positions of planets, on solar-lunar tidal forces, on the angular velocity of the Earth and the solar activity indices including the direction of magnetic fields of solar spots. The absence of precise knowledge or the physical-chemical models which quantitatively explain all these solar and climate processes, in this case, does not hamper frequency analysis of series of proxy climate indicators, their approximation and extrapolation using harmonic components, or the creation and verification of the Model of the Northern Hemisphere Temperature Anomalies (MNHTA).

The suggested paradigm connects stable oscillations of the NHTA with Sun system’s, solar, and terrestrial periodic processes. The physical-empirical model is based on the paradigm and a three hundred year tree ring series (1656-1967). Its prognostic ability to generate multiperiodic systematic climate signals was verified by the independent reconstruction of NHT for 1400-1977 and by instrumental observation of NHT for 1844-1992. The verification showed that the model can be used to predict the main natural variation of NHTA at least until 2100 and to detect the anthropogenic aperiodic climate signal due to greenhouse gases.

Figure. Modelled [MNHTA] and Reconstructed (Observed) [R(O)NHTA] Northern Hemisphere Temperature Anomalies [NHTA]. MNHTA(PDI) - Modelled NHTA on the Proxy Data Interval (PDI), 1659-1964 (Berry, 2001),  R(O)NHTA, - Reconstructed (1403 - 1977) and Observed (1905 - 1992) NHTA averaged over 7 years, +/- sig. - standard deviation of the RNHTA (Mann et al., 1998), the data of the RNHTA, 1403-1905, are used to calibrate the MNHTA, the correlation coefficient is r = 0.382, its statistical significance at the 0.001 level.

  References:

Berry, B. L., 1998. Regularities of natural cycles, prediction of climate and surface conditions. Hydrol. Process. 12, 2267-2278.

Berry (Berri) B. L., 2001: Variations of climate and soil temperature regime in the past millennium and their prediction for 200 years. Internet Journal of Geocryology, V.3, p.1 - 13, www.netpilot.ca/geocryology/index.html (in Russian).

                   
 
  

Editor: Boris L. Berry (Berri), D.Sc.

   

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