Abstract:
                                      A  simple  and  general  scheme  is  presented  for  establishing  the  threshold  auto  regressive  (TAR)  model.  With  the  accelerating  genetic  algorithm  by  the  authors,  both  threshold  values  and  auto  regressive  coefficients  can  be  optimized,  and  the  difficult  problem  of  modeling  of  TAR  is  resolved,  which  gives  a  strong  tool  for  widely  using  TAR  model.  The  result  of  the  calculation  example  shows  that  the  problem  can  be  successfully  resolved  for  the  prediction  of  the  periodic  variation  and  decline  tendency  of  groundwater  level  with  the  scheme,  that  the  method  is  practical  and  efficient,  and  that  TAR  model  can  effectively  utilize  the  important  information  of  the  section  interdependence  during  the  time  series  such  as  groundwater  level  dates  by  controlling  threshold  valves,  can  reduce  model  errors,  and  can  ensure  good  stability  and  accuracy  of  the  model  forecasting.  As  a  general  method,  the  scheme  has  major  theoretic  value  and  wide  range    application    for  predicting  nonlinear  time  series.