5. Distribution of the Probability of the Relative Amplitude of TEC variations and Dependence on the Kp and F10.7

[28]  Statistical characteristics of the relative amplitude of TEC variations: first, probability distributions P(langle dI/Irangle ) are required to study mechanisms of generation of ionospheric irregularities and to evaluate transionospheric radio signal distortions.

2005GI000132-fig08
Figure 8
2005GI000132-fig09
Figure 9
[29]  Figure 8 shows the normalized distributions P(langle dI/Irangle ) of the relative amplitude TEC variations in quiet (thin line, index 1) and disturbed (thick line, index 2) conditions. MS and IS ionospheric irregularities are shown on the left and on the right in Figure 8: Figures 8a and 8d, 8b and 8e, and 8c and 8f correspond to high and middle latitudes and to the equatorial zone, respectively. The total amounts of 2-hour averaged series over the entire area of the North America were 288 and 936 for quiet and disturbed periods, respectively. The approximation of the total normalized distributions P(langle dI/Irangle ) for the same conditions is shown in Figure 9. The most probable values of langle dI/Irangle in quiet (X1) and disturbed (X2 ) conditions are shown.

[30]  One can see from Figures 8 and 9 that at high latitudes in quiet periods the relative amplitude of MS disturbances does not exceed 4-5%, whereas in disturbed periods it may reach 10-12%. Similar dependence is also observed for IS variations of TEC with the only difference that the general disturbance level is by a factor of 4-5 less than for MS.

[31]  At middle latitudes, langle dI/Irangle dependence on the geomagnetic disturbance level is similar to that at high latitudes. However, on the whole, the amplitude of the MS and IS disturbances decreases by a factor of 2-3 and 5, respectively. At the equator, on the average, the amplitudes of MS and IS variations in quiet and disturbed periods almost do not differ.

2005GI000132-fig10
Figure 10
[32]  The difference in the dependence of the TEC relative amplitude on the geomagnetic disturbance level at various latitudes in the best way is illustrated in the regression dependencies of the amplitude of TEC variations on the values of the Kp index shown in Figure 10. Points show the values of langle dI/Irangle averaged over 3-hour-long intervals, and the thick line shows the approximating lines: MS TID are given in Figures 10a-10c, IS TID in Figures 10d-10f; Figures 10a and 10d, 10b and 10e, and 10c and 10f correspond to high, middle, and equatorial latitudes, respectively.

[33]  On the average, the relative amplitude of TEC variations is proportional to the value of the geomagnetic Kp index. This dependence is most pronounced at high latitudes (the proportionality coefficient k=0.37 ), it is weaker at middle latitudes ( k=0.2 ) and weakest at the equator ( k<0.1 ).

2005GI000132-fig11
Figure 11
[34]  The regression dependencies of the amplitude of TEC variations on the F10.7 are presented in Figure 11. Points show the values of langle dI/Irangle averaged over 3-hour-long intervals. The thick line is an approximating line: MS TID are given in Figures 11a-11c and IS TID are given in Figures 11d-11f; Figures 11a and 11d, 11b and 11e, and 11c and 11f correspond to high, middle, and equatorial latitudes, respectively. One can see that the amplitude of TEC variations almost does not depend on solar activity.


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