AB STRACTThis re search uses eigenvalue char ac ter is tics of the Karhunen-Loéve Trans form of ion o spheric to tal elec tron con tent (TEC) to in ves ti gate pre cur sors for 12 earth quakes of Rich ter mag ni tude scale M ³ 5.0 in a lo cal re gion of lat i tude 23.00 to 24.00°N and lon gi tude 120.00 to 121.50°E for 1 January 2002 to 31 December 2003. Pre vi ous re search ers have found that in the 5 days be fore these earth quakes (i.e., prior to M ³ 5.0), pre cur sors of clear ion o spheric anom a lies show ing sparser to tal elec tron con tent (TEC) were de tected through sta tis ti cal in ves ti ga tion. This was ev i denced through two is sues from Liu and his part ners in 2001 and 2006. These is sues gave cred i ble ev i dence of such pre cur sors. The pre cur sor days hav ing clear ex treme eigenvalues of the Karhunen-Loéve Trans form as the pre cur sors in stead of the sparser ion o spheric TEC were also mostly in the 5 days be fore the 12 earth quakes of greater than M ³ 5.0. The pre cur sors of Chi-Chi Earth quake (M w = 7.6) with clear ex treme eigenvalues were de tected on the 1 st , 3 rd , and 4 th days be fore this earth quake. These re sults are con sis tent with the anal y ses of Liu and his part ner's is sue in 2001. These find ings ver ify the va lid ity of the Karhunen-Loéve Trans form. To fur ther ver ify this ap proach, the Karhunen-Loéve Trans form is ap plied to an earth quake in Ja pan. Pre cur sors to the Ja pan Iwate-Miyagi Nairiku earth quake (M j = 7.2), with clear ex treme eigenvalues are de tected on the 1 st , 2 nd , and 5 th days be fore the earth quake, re spec tively. How ever, af ter de tailed anal y sis, pre cur sors of earth quakes of Rich ter mag ni tude scale M < 5 are not easy to identify using extreme eigenvalues because of existence of other ionospheric features not caused by earthquakes.Key words: Pre cur sors, Karhunen-Loéve trans form, Ion o spheric to tal elec tron con tent (TEC), Tai wan Chi-Chi earth quake, Ja pan Iwate-Miyagi Nairiku earth quake
Ci ta tion: Lin, J. W., 2010: Ion o spheric to tal elec tron con tent (TEC) anom a lies as so ci ated with earth quakes through Karhunen-Loéve Trans form (KLT).Terr. Atmos. Ocean. Sci., 21, 253-265, doi: 10.3319/TAO.2009.06.11.01(T)
IN TRO DUC TIONTyp i cal tra di tional anal y ses of pre cur sors to earth quakes look at a va ri ety of phe nom ena such as en ergy re lease with elec tric and mag netic field dis tur bances and hot spring analyses (Kuo et al. 2006). How ever, such pre cur sors are not eas ily re corded and are sub ject to in tru sion by ra dio waves. In more re cent years, there has been a fo cus on the de tec tion of ion o spheric anom a lies in pre cur sor re search (Liu et al. 2001Pulinets 2004;Hegai et al. 2006;Heki et al. 2006;Liperovskaya et al. 2006;Hayakawa 2007). This body of re search has con firmed some ion o spheric anom a lies having re la tion ships with earth quakes, but such re la tion ships have not been suit ably math e mat i cally de scribed; they have re lied on ob ser va tional ana...