 &MODEL
 NLIST   =           1,
 NSTEP   =        2000,
 EPSI    =  1.0000000E-07,
 WGHT    =   1.000000    ,
 NOBS    =         120,
 NAMY    = TOTFLOW   ,
 NVAXZ   =           4,
 NVAX    =           4,
 NORDER  =           1,
 NVAZ    =           0,
 NLAMZ   =           0,
 NLAMY   =           1,
 NLAMX   =           4,
 NSCALE  =           1,
 NEXPY   =           0,
 NRES    =           0,
 NCOR    =           0,
 NCOV    =           0,
 VARNAME = BC5+AU+PR,
 NVARIANT        =           6
 /
 &AUTOCOR
 RHO     = 2*0.000000000000000E+000  ,
 PI      =  0.990000000000000     ,  0.000000000000000E+000,
 NTPI    =           1,   538976288,
 MATFILE = R320km.in                                                                                                                 
                                       
 /
 &YBOXCOX
 VLY     =  0.000000000000000E+000,
 NTLY    =           1,
 NUMLXY  =           0
 /
 &XBOXCOX
 NUMX    =           1,           2,           3,           4, 46*0,
 NUMLX   =           1,           2,           3,           4, 46*0,
 VLX     = 10*0.000000000000000E+000  ,
 NTLX    = 4*1, 6*0
 /
 &YXZDATA
 YXZFILE = Canada1976.in                                                                   ,
 YXZFMT  = (5e15.5)                                                                        
 /

VARIABLE       MINIMUM         MEAN          MAXIMUM   NULL OBS.      SCALE
DEPENDENT
TOTFLOW     0.2577000D+04  0.1476588D+06  0.2736000D+07     0     0.1000000D-05
INDEPENDENT
POP         0.8591300D+05  0.5297039D+06  0.2802800D+07     0     0.1000000D-05
REVE        0.3698300D+04  0.4258776D+04  0.4808200D+04     0     0.1000000D-02
LANGFR      0.5600000D+01  0.7329333D+02  0.9990000D+02     0     0.1000000D+00
UTILITY     0.5655600D-04  0.4915871D-01  0.1172800D+01     0     0.1000000D+01
CONSTANT    0.1000000D+01  0.1000000D+01  0.1000000D+01     0     0.1000000D+01


MRS of X(l) with respect to X(k) - at the sample means
===================================================================================================================================
        X(k) POP         REVE        LANGFR      UTILITY     CONSTANT  
X(l)
===================================================================================================================================

POP          0.1000D+01  0.7451D+02  0.3456D+03  0.4914D+07  0.1889D+06

REVE         0.1342D-01  0.1000D+01  0.4639D+01  0.6595D+05  0.2536D+04

LANGFR       0.2893D-02  0.2156D+00  0.1000D+01  0.1422D+05  0.5466D+03

UTILITY      0.2035D-06  0.1516D-04  0.7034D-04  0.1000D+01  0.3845D-01

CONSTANT     0.5293D-05  0.3944D-03  0.1829D-02  0.2601D+02  0.1000D+01


INITIAL ESTIMATES

             LAM    PARAMETER      STD-ERROR        STUDENT-T    GRADIENT       DERIV.Y         ELAST.Y
                                                                                DERIV.E(Y)      ELAST.E(Y)


POP           X1  0.1389205D+01  0.5457770D-01     25.4537107  0.4002112D-09  0.3872510D+00      1.3892049
                                                                              0.4970914D+00      1.3892049

REVE          X2  0.8322593D+00  0.6932686D+00      1.2004861 -0.6521993D-09  0.2885581D+02      0.8322593
                                                                              0.3626500D-01      0.8322593

LANGFR        X3  0.6643968D-01  0.5550501D-01      1.1970033 -0.8357800D-09  0.1338513D+03      0.0664397
                                                                              0.1916400D-02      0.0664397

UTILITY       X4  0.6335200D+00  0.1496708D-01     42.3275532  0.2744231D-08  0.1902915D+07      0.6335200
                                                                              0.2843971D+02      0.6335200

CONSTANT      X0  0.4955077D+00  0.9808520D+00      0.5051808 -0.4526935D-09  0.7316608D+05      0.4955077
                                                                              0.9221363D-01      0.4955077

VAR(W)            0.1312324D+00  0.1694202D-01      7.7459667  0.0000000D+00

INITIAL VALUES
 
RHO1           0.0000000D+00
PI1            0.9900000D+00
 
LAM(Y)         0.0000000D+00
LAM(X1)        0.0000000D+00
LAM(X2)        0.0000000D+00
LAM(X3)        0.0000000D+00
LAM(X4)        0.0000000D+00


LOG-LIKELIHOOD =  0.3396262D+03

NUMBER OF OBSERVATIONS              =            120

PEARSON-R2(E) (unadjusted)          =         0.8850
PEARSON-R2(E) (adjusted for D.F.)   =         0.8810

PSEUDO-R2(L)  (unadjusted)          =         0.9441
PSEUDO-R2(L)  (adjusted for D.F.)   =         0.9422

PROBABILITY of Y to be at the limit =         0.0000
MEAN VALUE of E(Y)                  =  0.1860993D+00

MEAN of residual W                  = -0.4950736D-12
VARIANCE of residual W              =  0.1312324D+00
95% CONFIDENCE INTERVAL for residual W
Lower Bound = -0.7100297D+00   Upper Bound =  0.7100297D+00




initialization cards for control routine follow - -  id card - no. parameters , no. steps , step size 
minimization tolerance - starting values of parameters - relative uncertainties of parameters (error estimates) -  
and starting direction  (relative parameter increments for 1st step)
identification line
         7      2000   0.1E+01   0.1E-06
  0.00000E+00  0.45951E+01  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00

first entry to fcn , parameters of current step follow - - f,x(i)
  -0.3396262428D+03  0.00000D+00  0.45951D+01  0.00000D+00  0.00000D+00  0.00000D+00  0.00000D+00  0.00000D+00

new absolute minimum , parameters for fcn entry     6  follow - - f,x(i)
  -0.3621259716D+03  0.10974D-01  0.45951D+01  0.51368D-01  0.97617D-02  0.82575D-05 -0.61681D-03 -0.80761D-01

new absolute minimum , parameters for fcn entry    10  follow - - f,x(i)
  -0.3664495955D+03  0.61498D-01  0.45951D+01  0.10106D+00  0.66782D-01  0.22378D-04 -0.50731D-02 -0.60458D-01

new absolute minimum , parameters for fcn entry    14  follow - - f,x(i)
  -0.3746705262D+03  0.21468D+00  0.45951D+01  0.83618D-01  0.23957D+00  0.76451D-04 -0.19294D-01 -0.77137D-01

new absolute minimum , parameters for fcn entry    18  follow - - f,x(i)
  -0.3858983596D+03  0.85768D+00  0.45953D+01  0.53787D-01  0.12043D+00  0.40171D-03 -0.68370D-01 -0.91861D-01

new absolute minimum , parameters for fcn entry    22  follow - - f,x(i)
  -0.3874669606D+03  0.97621D+00  0.45859D+01  0.46504D-01  0.11897D+00  0.10469D-01  0.48571D+00 -0.89075D-01

new absolute minimum , parameters for fcn entry    25  follow - - f,x(i)
  -0.3883999604D+03  0.98905D+00  0.45379D+01  0.53030D-01  0.15925D+00  0.68063D-01  0.44704D+00 -0.71093D-01

new absolute minimum , parameters for fcn entry    27  follow - - f,x(i)
  -0.3885541365D+03  0.10090D+01  0.44725D+01  0.59508D-01  0.15088D+00  0.15666D+00  0.46152D+00 -0.65107D-01

new absolute minimum , parameters for fcn entry    30  follow - - f,x(i)
  -0.3885963613D+03  0.10414D+01  0.42441D+01  0.57507D-01  0.14628D+00  0.45933D+00  0.41044D+00 -0.65535D-01

step to unallowed region , parameters for fcn entry    34 follow - - x(i)
                     0.80868D+01 -0.18146D+03  0.28890D+00  0.87223D+00  0.22461D+03  0.17164D+01 -0.36103D+00

step to unallowed region , parameters for fcn entry    35 follow - - x(i)
                     0.46262D+01 -0.90247D+02  0.17524D+00  0.51566D+00  0.11451D+03  0.10749D+01 -0.21589D+00

step to unallowed region , parameters for fcn entry    36 follow - - x(i)
                     0.28960D+01 -0.44639D+02  0.11842D+00  0.33737D+00  0.59461D+02  0.75421D+00 -0.14332D+00

step to unallowed region , parameters for fcn entry    37 follow - - x(i)
                     0.20308D+01 -0.21836D+02  0.90002D-01  0.24823D+00  0.31937D+02  0.59384D+00 -0.10703D+00

new absolute minimum , parameters for fcn entry    43  follow - - f,x(i)
  -0.3905713535D+03  0.11438D+01  0.96830D+00  0.61589D-01  0.15909D+00  0.44132D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    47  follow - - f,x(i)
  -0.3916544619D+03  0.11438D+01 -0.26180D+01  0.61589D-01  0.15909D+00  0.44132D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    55  follow - - f,x(i)
  -0.3917460494D+03  0.11438D+01 -0.26180D+01  0.66990D-01  0.15909D+00  0.44132D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    60  follow - - f,x(i)
  -0.3917568353D+03  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.44132D+01  0.43348D+00 -0.70748D-01

step to unallowed region , parameters for fcn entry    65 follow - - x(i)
                     0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.17507D+02  0.43348D+00 -0.70748D-01

step to unallowed region , parameters for fcn entry    66 follow - - x(i)
                     0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.16046D+02  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    64  follow - - f,x(i)
  -0.3921209078D+03  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.87418D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    76  follow - - f,x(i)
  -0.3933029675D+03  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.70748D-01

new absolute minimum , parameters for fcn entry    82  follow - - f,x(i)
  -0.3933044079D+03  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry    88  follow - - f,x(i)
  -0.3934705705D+03  0.12435D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry    96  follow - - f,x(i)
  -0.3934705721D+03  0.12438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

step to unallowed region , parameters for fcn entry   101 follow - - x(i)
                     0.12438D+01 -0.49096D+02  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

step to unallowed region , parameters for fcn entry   102 follow - - x(i)
                     0.12438D+01 -0.43867D+02  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry   100  follow - - f,x(i)
  -0.3936601407D+03  0.12438D+01 -0.17723D+02  0.66990D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry   110  follow - - f,x(i)
  -0.3936603471D+03  0.12438D+01 -0.17723D+02  0.66740D-01  0.16463D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry   115  follow - - f,x(i)
  -0.3936606294D+03  0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.87418D+01 -0.23168D-01 -0.69987D-01

step to unallowed region , parameters for fcn entry   117 follow - - x(i)
                     0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.10144D+02 -0.23168D-01 -0.69987D-01

step to unallowed region , parameters for fcn entry   121 follow - - x(i)
                     0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.11659D+02 -0.23168D-01 -0.69987D-01

step to unallowed region , parameters for fcn entry   122 follow - - x(i)
                     0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.11322D+02 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry   120  follow - - f,x(i)
  -0.3937608411D+03  0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.23168D-01 -0.69987D-01

new absolute minimum , parameters for fcn entry   126  follow - - f,x(i)
  -0.3938248206D+03  0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.69987D-01

new absolute minimum , parameters for fcn entry   131  follow - - f,x(i)
  -0.3939057237D+03  0.12438D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   134  follow - - f,x(i)
  -0.3939074178D+03  0.12538D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   141  follow - - f,x(i)
  -0.3939074179D+03  0.12539D+01 -0.17723D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

step to unallowed region , parameters for fcn entry   144 follow - - x(i)
                     0.12539D+01 -0.37802D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

step to unallowed region , parameters for fcn entry   145 follow - - x(i)
                     0.12539D+01 -0.35292D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   143  follow - - f,x(i)
  -0.3939074253D+03  0.12539D+01 -0.22743D+02  0.66740D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   151  follow - - f,x(i)
  -0.3939378653D+03  0.12539D+01 -0.22743D+02  0.63712D-01  0.16376D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   157  follow - - f,x(i)
  -0.3939430279D+03  0.12539D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.96394D+01 -0.13278D+00 -0.75535D-01

step to unallowed region , parameters for fcn entry   160 follow - - x(i)
                     0.12539D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.10932D+02 -0.13278D+00 -0.75535D-01

step to unallowed region , parameters for fcn entry   161 follow - - x(i)
                     0.12539D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.10770D+02 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   159  follow - - f,x(i)
  -0.3939795817D+03  0.12539D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.13278D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   166  follow - - f,x(i)
  -0.3939820986D+03  0.12539D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.75535D-01

new absolute minimum , parameters for fcn entry   170  follow - - f,x(i)
  -0.3939964488D+03  0.12539D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   177  follow - - f,x(i)
  -0.3939969763D+03  0.12594D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   184  follow - - f,x(i)
  -0.3939969763D+03  0.12594D+01 -0.22743D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

step to unallowed region , parameters for fcn entry   186 follow - - x(i)
                     0.12594D+01 -0.25152D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

step to unallowed region , parameters for fcn entry   188 follow - - x(i)
                     0.12594D+01 -0.23129D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   192  follow - - f,x(i)
  -0.3939969833D+03  0.12594D+01 -0.22753D+02  0.63712D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   198  follow - - f,x(i)
  -0.3940004986D+03  0.12594D+01 -0.22753D+02  0.62683D-01  0.16002D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   202  follow - - f,x(i)
  -0.3940008638D+03  0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99625D+01 -0.11200D+00 -0.77859D-01

step to unallowed region , parameters for fcn entry   204 follow - - x(i)
                     0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.10118D+02 -0.11200D+00 -0.77859D-01

step to unallowed region , parameters for fcn entry   207 follow - - x(i)
                     0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.10062D+02 -0.11200D+00 -0.77859D-01

step to unallowed region , parameters for fcn entry   208 follow - - x(i)
                     0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.10049D+02 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   206  follow - - f,x(i)
  -0.3940035868D+03  0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99873D+01 -0.11200D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   212  follow - - f,x(i)
  -0.3940039402D+03  0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99873D+01 -0.10417D+00 -0.77859D-01

new absolute minimum , parameters for fcn entry   216  follow - - f,x(i)
  -0.3940059895D+03  0.12594D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99873D+01 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   224  follow - - f,x(i)
  -0.3940060490D+03  0.12613D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99873D+01 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   229  follow - - f,x(i)
  -0.3940060490D+03  0.12613D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99873D+01 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   245  follow - - f,x(i)
  -0.3940060490D+03  0.12613D+01 -0.22753D+02  0.62683D-01  0.15902D+00  0.99873D+01 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   251  follow - - f,x(i)
  -0.3940065130D+03  0.12613D+01 -0.22753D+02  0.62309D-01  0.15902D+00  0.99873D+01 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   255  follow - - f,x(i)
  -0.3940065609D+03  0.12613D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.99873D+01 -0.10417D+00 -0.78738D-01

step to unallowed region , parameters for fcn entry   258 follow - - x(i)
                     0.12613D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.10035D+02 -0.10417D+00 -0.78738D-01

step to unallowed region , parameters for fcn entry   259 follow - - x(i)
                     0.12613D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.10029D+02 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   257  follow - - f,x(i)
  -0.3940078532D+03  0.12613D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.99993D+01 -0.10417D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   263  follow - - f,x(i)
  -0.3940079065D+03  0.12613D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.99993D+01 -0.10112D+00 -0.78738D-01

new absolute minimum , parameters for fcn entry   267  follow - - f,x(i)
  -0.3940081697D+03  0.12613D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.99993D+01 -0.10112D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   276  follow - - f,x(i)
  -0.3940081769D+03  0.12620D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.99993D+01 -0.10112D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   281  follow - - f,x(i)
  -0.3940081769D+03  0.12620D+01 -0.22753D+02  0.62309D-01  0.15866D+00  0.99993D+01 -0.10112D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   291  follow - - f,x(i)
  -0.3940082363D+03  0.12620D+01 -0.22753D+02  0.62175D-01  0.15866D+00  0.99993D+01 -0.10112D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   298  follow - - f,x(i)
  -0.3940082424D+03  0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.99993D+01 -0.10112D+00 -0.79054D-01

step to unallowed region , parameters for fcn entry   300 follow - - x(i)
                     0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.10005D+02 -0.10112D+00 -0.79054D-01

step to unallowed region , parameters for fcn entry   302 follow - - x(i)
                     0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.10000D+02 -0.10112D+00 -0.79054D-01

step to unallowed region , parameters for fcn entry   306 follow - - x(i)
                     0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.10001D+02 -0.10112D+00 -0.79054D-01

step to unallowed region , parameters for fcn entry   307 follow - - x(i)
                     0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.10001D+02 -0.10112D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   305  follow - - f,x(i)
  -0.3940083056D+03  0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.99998D+01 -0.10112D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   311  follow - - f,x(i)
  -0.3940083128D+03  0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.99998D+01 -0.10001D+00 -0.79054D-01

new absolute minimum , parameters for fcn entry   317  follow - - f,x(i)
  -0.3940083467D+03  0.12620D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.99998D+01 -0.10001D+00 -0.79167D-01

new absolute minimum , parameters for fcn entry   326  follow - - f,x(i)
  -0.3940083475D+03  0.12622D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.99998D+01 -0.10001D+00 -0.79167D-01

new absolute minimum , parameters for fcn entry   333  follow - - f,x(i)
  -0.3940083475D+03  0.12622D+01 -0.22753D+02  0.62175D-01  0.15854D+00  0.99998D+01 -0.10001D+00 -0.79167D-01

new absolute minimum , parameters for fcn entry   339  follow - - f,x(i)
  -0.3940083551D+03  0.12622D+01 -0.22753D+02  0.62127D-01  0.15854D+00  0.99998D+01 -0.10001D+00 -0.79167D-01

new absolute minimum , parameters for fcn entry   343  follow - - f,x(i)
  -0.3940083558D+03  0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.99998D+01 -0.10001D+00 -0.79167D-01

step to unallowed region , parameters for fcn entry   345 follow - - x(i)
                     0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.10001D+00 -0.79167D-01

step to unallowed region , parameters for fcn entry   349 follow - - x(i)
                     0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.10001D+00 -0.79167D-01

step to unallowed region , parameters for fcn entry   350 follow - - x(i)
                     0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.10001D+00 -0.79167D-01

new absolute minimum , parameters for fcn entry   348  follow - - f,x(i)
  -0.3940083704D+03  0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.10001D+00 -0.79167D-01

new absolute minimum , parameters for fcn entry   357  follow - - f,x(i)
  -0.3940083713D+03  0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.99602D-01 -0.79167D-01

new absolute minimum , parameters for fcn entry   361  follow - - f,x(i)
  -0.3940083756D+03  0.12622D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

new absolute minimum , parameters for fcn entry   371  follow - - f,x(i)
  -0.3940083757D+03  0.12623D+01 -0.22753D+02  0.62127D-01  0.15849D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

new absolute minimum , parameters for fcn entry   383  follow - - f,x(i)
  -0.3940083766D+03  0.12623D+01 -0.22753D+02  0.62110D-01  0.15849D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

new absolute minimum , parameters for fcn entry   390  follow - - f,x(i)
  -0.3940083767D+03  0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

step to unallowed region , parameters for fcn entry   392 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

step to unallowed region , parameters for fcn entry   395 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

step to unallowed region , parameters for fcn entry   396 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

new absolute minimum , parameters for fcn entry   394  follow - - f,x(i)
  -0.3940083775D+03  0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99602D-01 -0.79207D-01

new absolute minimum , parameters for fcn entry   400  follow - - f,x(i)
  -0.3940083776D+03  0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99458D-01 -0.79207D-01

new absolute minimum , parameters for fcn entry   404  follow - - f,x(i)
  -0.3940083782D+03  0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99458D-01 -0.79221D-01

new absolute minimum , parameters for fcn entry   414  follow - - f,x(i)
  -0.3940083782D+03  0.12623D+01 -0.22753D+02  0.62110D-01  0.15847D+00  0.10000D+02 -0.99458D-01 -0.79221D-01

new absolute minimum , parameters for fcn entry   418  follow - - f,x(i)
  -0.3940083791D+03  0.12623D+01 -0.22753D+02  0.62093D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

new absolute minimum , parameters for fcn entry   421  follow - - f,x(i)
  -0.3940083791D+03  0.12623D+01 -0.22753D+02  0.62093D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

new absolute minimum , parameters for fcn entry   428  follow - - f,x(i)
  -0.3940083792D+03  0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

new absolute minimum , parameters for fcn entry   433  follow - - f,x(i)
  -0.3940083792D+03  0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

step to unallowed region , parameters for fcn entry   436 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

step to unallowed region , parameters for fcn entry   437 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

new absolute minimum , parameters for fcn entry   435  follow - - f,x(i)
  -0.3940083796D+03  0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99314D-01 -0.79235D-01

new absolute minimum , parameters for fcn entry   442  follow - - f,x(i)
  -0.3940083796D+03  0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99356D-01 -0.79235D-01

new absolute minimum , parameters for fcn entry   447  follow - - f,x(i)
  -0.3940083796D+03  0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99356D-01 -0.79231D-01

new absolute minimum , parameters for fcn entry   454  follow - - f,x(i)
  -0.3940083796D+03  0.12623D+01 -0.22753D+02  0.62098D-01  0.15846D+00  0.10000D+02 -0.99356D-01 -0.79231D-01

new absolute minimum , parameters for fcn entry   457  follow - - f,x(i)
  -0.3940083801D+03  0.12623D+01 -0.22753D+02  0.62103D-01  0.15847D+00  0.10000D+02 -0.99399D-01 -0.79227D-01

new absolute minimum , parameters for fcn entry   467  follow - - f,x(i)
  -0.3940083801D+03  0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99399D-01 -0.79227D-01

new absolute minimum , parameters for fcn entry   472  follow - - f,x(i)
  -0.3940083801D+03  0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99399D-01 -0.79227D-01

step to unallowed region , parameters for fcn entry   475 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99399D-01 -0.79227D-01

step to unallowed region , parameters for fcn entry   476 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99399D-01 -0.79227D-01

new absolute minimum , parameters for fcn entry   474  follow - - f,x(i)
  -0.3940083803D+03  0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99399D-01 -0.79227D-01

new absolute minimum , parameters for fcn entry   481  follow - - f,x(i)
  -0.3940083803D+03  0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99386D-01 -0.79227D-01

new absolute minimum , parameters for fcn entry   487  follow - - f,x(i)
  -0.3940083803D+03  0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99386D-01 -0.79228D-01

new absolute minimum , parameters for fcn entry   495  follow - - f,x(i)
  -0.3940083803D+03  0.12623D+01 -0.22753D+02  0.62102D-01  0.15847D+00  0.10000D+02 -0.99386D-01 -0.79228D-01

new absolute minimum , parameters for fcn entry   502  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62100D-01  0.15846D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   512  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15846D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   515  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   517 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   520 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   521 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   519  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99374D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   526  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   531  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   538  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   540  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   552  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   559  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   562 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   563 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   561  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99378D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   567  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   571  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   577  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   588  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   594  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   596 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   600 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

step to unallowed region , parameters for fcn entry   601 follow - - x(i)
                     0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   599  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   605  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   609  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01

new absolute minimum , parameters for fcn entry   610  follow - - f,x(i)
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01


the function (fcn) has not improved by    0.10000D-06 after 3 steps which include a minimum - - -


therefore the run has been terminated
  -0.3940083805D+03  0.12623D+01 -0.22753D+02  0.62101D-01  0.15847D+00  0.10000D+02 -0.99379D-01 -0.79229D-01


all numbers of last entry refer to final pt. of run


the lowest value of the function (fcn) was  -0.3940083805D+03 for entry  610 - - x(i) follows
  0.12623E+01 -0.22753E+02  0.62101E-01  0.15847E+00  0.10000E+02 -0.99379E-01 -0.79229E-01



run statistics follow - -

 nfcn=  612 nst=  112


MRS of X(l) with respect to X(k) - at the sample means
===================================================================================================================================
        X(k) POP         REVE        LANGFR      UTILITY     CONSTANT  
X(l)
===================================================================================================================================

POP          0.1000D+01  0.6044D+02  0.1009D+04  0.3533D+07  0.5763D+06

REVE         0.1654D-01  0.1000D+01  0.1669D+02  0.5845D+05  0.9534D+04

LANGFR       0.9911D-03  0.5990D-01  0.1000D+01  0.3502D+04  0.5712D+03

UTILITY      0.2830D-06  0.1711D-04  0.2856D-03  0.1000D+01  0.1631D+00

CONSTANT     0.1735D-05  0.1049D-03  0.1751D-02  0.6131D+01  0.1000D+01


FINAL ESTIMATES

             LAM    PARAMETER      STD-ERROR        STUDENT-T      STUDENT-T    GRADIENT       DERIV.Y         ELAST.Y
                                   (CONDIT.)        (CONDIT.)      (CONDIT.)                   DERIV.E(Y)      ELAST.E(Y)
                                                    (PAR = 0)      (PAR = 1)

POP           X1  0.3828123D+00  0.3581568D+00      1.0688398                -0.2308095D-10  0.4113940D+00      1.4758144
                                 0.1054178D-01     36.3138082                                0.3879825D+00      1.5426580

REVE          X2  0.7652427D-36  0.1096576D-33      0.0069785                -0.1042576D+24  0.2486598D+02      0.7171845
                                 0.5273611D-36      1.4510791                                0.2693032D+02      0.8798516

LANGFR        X3  0.6611721D+00  0.7052650D+00      0.9374803                -0.2703103D-11  0.4150920D+03      0.2060390
                                 0.1057569D+00      6.2518110                                0.5402187D+03      0.2274883

UTILITY       X4  0.7981906D+00  0.3076152D+00      2.5947699                 0.9816112D-11  0.1453492D+07      0.4838977
                                 0.3334311D-01     23.9386990                                0.3884747D+08      0.6867415

CONSTANT      X0  0.3362457D+01  0.4966775D+01      0.6769901                -0.1107266D-11  0.2370828D+06      1.6056124
                                 0.8843263D+00      3.8022815                                0.2253786D+06      1.7401319

VAR(W)            0.1390704D+00  0.8106446D-01      1.7155528                 0.0000000D+00
                                 0.2106777D-01      6.6010961
 
RHO1      (E)     0.8516993D+00  0.8551060D-01      9.9601610                -0.1050858D-04
                                 0.8131372D-01     10.4742393
PI1       (E)     0.1313809D-09  0.2152175D-04      0.0000061 -46464.6216553 -0.1075667D+06
                                 0.2035453D-04      0.0000065 -49129.1223654
 
LAM(Y)    (E)     0.6210098D-01  0.2693165D-01      2.3058740    -34.8251649  0.1540005D-03
LAM(X1)   (E)     0.1584655D+00  0.6228701D-01      2.5441186    -13.5105940  0.1031680D-04
LAM(X2)   (E)     0.1000000D+02  0.1706425D+02      0.5860205      0.5274184  0.1077712D+00
LAM(X3)   (E)    -0.9937940D-01  0.3398839D+00     -0.2923922     -3.2345738 -0.2697495D-05
LAM(X4)   (E)    -0.7922891D-01  0.2424882D-01     -3.2673308    -44.5064550 -0.1461112D-06


LOG-LIKELIHOOD = -0.1263853D+04

NUMBER OF OBSERVATIONS              =            120

PEARSON-R2(E) (unadjusted)          =         0.9963
PEARSON-R2(E) (adjusted for D.F.)   =         0.9960

PSEUDO-R2(L)  (unadjusted)          =         0.9883
PSEUDO-R2(L)  (adjusted for D.F.)   =         0.9872

PROBABILITY of Y to be at the limit =         0.0000
MEAN VALUE of E(Y)                  =  0.1513113D+06

MEAN of residual W                  = -0.7932070D-01
VARIANCE of residual W              =  0.1390704D+00
95% CONFIDENCE INTERVAL for residual W
Lower Bound = -0.8102466D+00   Upper Bound =  0.6516052D+00


CPU TIME:     13.56 sec
