	Estimation Options Listing	

 Parameter Estimation Specification
 ----------------------------------
 Encounter rate for all data combined
 Detection probability for all data combined
 Density for all data combined

 Distances:
 ----------
 Analysis based on exact distances
 Width: use largest measurement/last interval endpoint

 Estimators:
 -----------
 Estimator  1
 Key: Uniform
 Adjustments - Function                 : Cosines
             - Term selection mode      : Sequential
             - Term selection criterion : Akaike Information Criterion (AIC)
             - Distances scaled by      : W (right truncation distance)

 Estimator selection: Choose estimator with minimum  AIC
 Estimation functions: constrained to be nearly monotone non-increasing

 Variances:
 ----------
 Variance of n: Empirical estimate from sample
                (design-derived estimator R2/P2)
 Variance of f(0): MLE estimate

 Goodness of fit:
 ----------------
 Cut points chosen by program



 Glossary of terms
 -----------------

 Data items:
 n    - number of observed objects (single or clusters of animals)
 L    - total length of transect line(s) 
 k    - number of samples
 K    - point transect effort, typically K=k
 T    - length of time searched in cue counting
 ER   - encounter rate (n/L or n/K or n/T)
 W    - width of line transect or radius of point transect
 x(i) - distance to i-th observation
 s(i) - cluster size of i-th observation
 r-p  - probability for regression test
 chi-p- probability for chi-square goodness-of-fit test


 Parameters or functions of parameters:
 m    - number of parameters in the model
 A(I) - i-th parameter in the estimated probability density function(pdf)
 f(0) - 1/u = value of pdf at zero for line transects
 u    - W*p = ESW, effective detection area for line transects
 h(0) - 2*PI/v
 v    - PI*W*W*p, is the effective detection area for point transects
 p    - probability of observing an object in defined area
 ESW  - for line transects, effective strip width = W*p
 EDR  - for point transects, effective detection radius  = W*sqrt(p)
 rho  - for cue counts, the cue rate
 DS   - estimate of density of clusters
 E(S) - estimate of expected value of cluster size
 D    - estimate of density of animals
 N    - estimate of number of animals in specified area
	Detection Fct/Global/Model Fitting	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    271.2211    
 # observations:    47



 Model  1
    Uniform key, k(y) = 1/W
       Results:
       Convergence was achieved with    1 function evaluations.
       Final Ln(likelihood) value =  -285.35577    
       Akaike information criterion =   570.71155    
       Bayesian information criterion =   570.71155    
       AICc =   570.71155    
       Final parameter values: 


 Model  2
    Uniform key, k(y) = 1/W
    Cosine adjustments of order(s) :  1
       Results:
       Convergence was achieved with   24 function evaluations.
       Final Ln(likelihood) value =  -252.28137    
       Akaike information criterion =   506.56274    
       Bayesian information criterion =   508.41290    
       AICc =   506.65164    
       Final parameter values:  0.97570701    

    Likelihood ratio test between models  1 and  2
       Likelihood ratio test value    =    66.1488
       Probability of a greater value =   0.000000
 *** Model  2 selected over model  1 based on minimum AIC              


 Model  3
    Uniform key, k(y) = 1/W
    Cosine adjustments of order(s) :  1, 2
       Results:
       Convergence was achieved with   33 function evaluations.
       Final Ln(likelihood) value =  -245.30442    
       Akaike information criterion =   494.60883    
       Bayesian information criterion =   498.30914    
       AICc =   494.88156    
       Final parameter values:   1.3313540     0.35102447    
      ** Warning: Parameters are being constrained to obtain monotonicity. **

    Likelihood ratio test between models  2 and  3
       Likelihood ratio test value    =    13.9539
       Probability of a greater value =   0.000187
 *** Model  3 selected over model  2 based on minimum AIC              


 Model  4
    Uniform key, k(y) = 1/W
    Cosine adjustments of order(s) :  1, 2, 3
       Results:
       Convergence was achieved with   16 function evaluations.
       Final Ln(likelihood) value =  -527.06363    
       Akaike information criterion =   1060.1273    
       Bayesian information criterion =   1065.6777    
       AICc =   1060.6854    
       Final parameter values:   61575.195     -27718.076     -61572.895    
      ** Warning: Parameters are being constrained to obtain monotonicity. **

    Likelihood ratio test between models  3 and  4
       Likelihood ratio test value    =  -563.5184
       Probability of a greater value =   1.000000
 *** Model  3 selected over model  4 based on minimum AIC              
	Detection Fct/Global/Parameter Estimates	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    271.2211    
 # observations:    47

 Model
    Uniform key, k(y) = 1/W
    Cosine adjustments of order(s) :  1, 2


              Point        Standard    Percent Coef.        95 Percent
  Parameter   Estimate       Error      of Variation     Confidence Interval
  ---------  -----------  -----------  --------------  ----------------------
    A( 1)      1.331       0.1018    
    A( 2)     0.3510       0.1000    
    h(0)     0.15839E-03  0.26013E-04      16.42      0.11403E-03  0.22000E-03
    p        0.17166      0.28191E-01      16.42      0.12358      0.23843    
    EDR       112.37       9.2274           8.21       95.268       132.54    
  ---------  -----------  -----------  --------------  ----------------------


 Sampling Correlation of Estimated Parameters


         A( 1)   A( 2)
 A( 1)  1.000   0.981
 A( 2)  0.981   1.000
	Detection Fct/Global/Plot: Qq-plot	
	Detection Fct/Global/K-S GOF Test	


 Kolmogorov-Smirnov test
 -----------------------

 D_n                      = 0.1232                 p  = 0.4740


 Cramer-von Mises family tests
 -----------------------------

 W-sq (uniform weighting) = 0.1046          0.500 < p <= 0.600
   Relevant critical values:
     W-sq crit(alpha=0.600) = 0.0974
     W-sq crit(alpha=0.500) = 0.1193

 C-sq (cosine weighting)  = 0.0668          0.500 < p <= 0.600
   Relevant critical values:
     C-sq crit(alpha=0.600) = 0.0625
     C-sq crit(alpha=0.500) = 0.0773
	Detection Fct/Global/Plot: Detection Probability 1	
            |+---------------+----------------+---------------+---------------+|
     1.0987 +                                                                  +
            |                                                                  |
            |                                                                  |
            |                                                                  |
            | ffff                                                             |
     0.9647 +     ff                                                           +
            |*******ff********                                                 |
            |*        f      *                                                 |
            |*         f     *                                                 |
            |*          f    *                                                 |
 D   0.8307 +*           f   *                                                 +
 e          |*            f  *                                                 |
 t          |*             f *                                                 |
 e          |*              f*                                                 |
 c          |*               f                                                 |
 t   0.6967 +*               *f                                                +
 i          |*               * f                                               |
 o          |*               *  f                                              |
 n          |*               *   f                                             |
            |*               *    f                                            |
 P   0.5627 +*               *                                                 +
 r          |*               *     f                                           |
 o          |*               *      f                                          |
 b          |*               *       f                                         |
 a          |*               *********f********                                |
 b   0.4288 +*               *         f      *                                +
 i          |*               *          f     *                                |
 l          |*               *                *                                |
 i          |*               *           f    *                                |
 t          |*               *            f   *                                |
 y   0.2948 +*               *             f  *                                +
            |*               *              f *                                |
            |*               *               ff                                |
            |*               *                *f                               |
            |*               *                * f                              |
     0.1608 +*               *                *  f                             +
            |*               *                *   ff                           |
            |*               *                *     ff                         |
            |*               *                ********ff*******                |
            |*               *                *         fff   *                |
     0.0268 +*               *                *            ffffff              +
            |                                                 ***ffffffffffffff|
            |+---------------+----------------+---------------+---------------+|
          0.000          67.805          135.611         203.416         271.221
                                                                                

                                Radial distance in meters          
	Detection Fct/Global/Plot: Pdf 1	
            |+---------------+----------------+---------------+---------------+|
     0.0088 +                                                                  +
            |                                                                  |
            |                                                                  |
            |                                                                  |
            |                 ffffff                                           |
     0.0078 +                f      f                                          +
            |               f********ff********                                |
            |              f *                *                                |
            |                *         f      *                                |
            |             f  *          f     *                                |
     0.0067 +            f   *           f    *                                +
            |                *            f   *                                |
 P          |           f    *                *                                |
 r          |                *             f  *                                |
 o          |          f     *              f *                                |
 b   0.0056 +                *                *                                +
 a          |         f      *               f*                                |
 b          |                *                *                                |
 i          |********f********                f                                |
 l          |*               *                *f                               |
 i   0.0045 +*               *                *                                +
 t          |*      f        *                * f                              |
 y          |*               *                *                                |
            |*     f         *                *  f                             |
 D          |*               *                *   f                            |
 e   0.0035 +*               *                *                                +
 n          |*    f          *                *    f                           |
 s          |*               *                *     f                          |
 i          |*               *                *                                |
 t          |*   f           *                *      f                         |
 y   0.0024 +*               *                *       f                        +
            |*               *                *                                |
            |*  f            *                *********f*******                |
            |*               *                *         f     *                |
            |*               *                *          f    *                |
     0.0013 +* f             *                *           f   *                +
            |*               *                *            f  *                |
            |*               *                *             ff*                |
            |*f              *                *               ff               |
            |*               *                *               * fff            |
     0.0002 +*               *                *               *****ffffffffffff+
            |                                                                  |
            |+---------------+----------------+---------------+---------------+|
          0.000          67.805          135.611         203.416         271.221
                                                                                

                                Radial distance in meters          
	Detection Fct/Global/Chi-sq GOF Test 1	

  Cell           Cut           Observed     Expected   Chi-square
   i            Points          Values       Values       Values
 -----------------------------------------------------------------
   1     0.000        67.8           16       14.65        0.125
   2      67.8        136.           24       22.97        0.047
   3      136.        203.            6        8.31        0.642
   4      203.        271.            1        1.08        0.006
 -----------------------------------------------------------------
 Total Chi-square value =     0.8193  Degrees of Freedom =  1.00

Probability of a greater chi-square value, P = 0.36538

 The program has limited capability for pooling.  The user should
 judge the necessity for pooling and if necessary, do pooling by hand.
	Detection Fct/Global/Plot: Detection Probability 2	
            |+----------+----------+----------+---------+----------+----------+|
     1.0987 +                                                                  +
            |                                                                  |
            |                                                                  |
            |                                                                  |
            | ffff                                                             |
     0.9647 +     ff                                                           +
            |       ff                                                         |
            |*********f**                                                      |
            |*         f*                                                      |
            |*          f                                                      |
 D   0.8307 +*          *f                                                     +
 e          |*          * f                                                    |
 t          |*          *  f                                                   |
 e          |*          *   f                                                  |
 c          |*          *    f                                                 |
 t   0.6967 +*          *     f                                                +
 i          |*          *      f                                               |
 o          |*          *       f                                              |
 n          |*          *        f                                             |
            |*          *         f************                                |
 P   0.5627 +*          *          *          *                                +
 r          |*          *          f          *                                |
 o          |*          *          *f         *                                |
 b          |*          ************ f        *                                |
 a          |*          *          *  f       *                                |
 b   0.4288 +*          *          *   f      *                                +
 i          |*          *          *    f     *                                |
 l          |*          *          *          *                                |
 i          |*          *          *     f    *                                |
 t          |*          *          *      f   *                                |
 y   0.2948 +*          *          *       f  *                                +
            |*          *          *        f *                                |
            |*          *          *         ff                                |
            |*          *          *          *f                               |
            |*          *          *          * f                              |
     0.1608 +*          *          *          *  f                             +
            |*          *          *          *   ff                           |
            |*          *          *          ******ff***                      |
            |*          *          *          *       ff*                      |
            |*          *          *          *         fff                    |
     0.0268 +*          *          *          *         *  ffffff              +
            |                                           *********ffffffffffffff|
            |+----------+----------+----------+---------+----------+----------+|
          0.000                90.407    135.611   180.814    226.018    271.221
                    45.204                                                      

                                Radial distance in meters          
	Detection Fct/Global/Plot: Pdf 2	
            |+----------+----------+----------+---------+----------+----------+|
     0.0114 +                                                                  +
            |                                                                  |
            |                                                                  |
            |                                                                  |
            |                      ************                                |
     0.0100 +                      *          *                                +
            |                      *          *                                |
            |                      *          *                                |
            |                      *          *                                |
            |                      *          *                                |
     0.0086 +                      *          *                                +
            |                      *          *                                |
 P          |                  fffff          *                                |
 r          |                ff    *ff        *                                |
 o          |               f      *  f       *                                |
 b   0.0072 +              f       *   f      *                                +
 a          |             f        *    f     *                                |
 b          |            f         *     f    *                                |
 i          |           f          *      f   *                                |
 l          |                      *       f  *                                |
 i   0.0058 +          f           *        f *                                +
 t          |                      *          *                                |
 y          |         f ************         f*                                |
            |        f  *          *          f                                |
 D          |           *          *          *f                               |
 e   0.0044 +       f   *          *          *                                +
 n          |           *          *          * f                              |
 s          |      f    *          *          *  f                             |
 i          |           *          *          *   f                            |
 t          |*****f******          *          *    f                           |
 y   0.0031 +*          *          *          *     f                          +
            |*          *          *          ***********                      |
            |*   f      *          *          *      f  *                      |
            |*          *          *          *       f *                      |
            |*  f       *          *          *        f*                      |
     0.0017 +*          *          *          *         ff                     +
            |* f        *          *          *         * f                    |
            |*          *          *          *         *  f                   |
            |*          *          *          *         *   ff                 |
            |*f         *          *          *         *     fff  ************|
     0.0003 +*          *          *          *         *        ffffffffffffff+
            |                                           ************           |
            |+----------+----------+----------+---------+----------+----------+|
          0.000                90.407    135.611   180.814    226.018    271.221
                    45.204                                                      

                                Radial distance in meters          
	Detection Fct/Global/Chi-sq GOF Test 2	

  Cell           Cut           Observed     Expected   Chi-square
   i            Points          Values       Values       Values
 -----------------------------------------------------------------
   1     0.000        45.2            7        7.09        0.001
   2      45.2        90.4           11       16.02        1.575
   3      90.4        136.           22       14.49        3.890
   4      136.        181.            6        7.09        0.168
   5      181.        226.            0        1.71        1.706
   6      226.        271.            1        0.59        0.284
 -----------------------------------------------------------------
 Total Chi-square value =     7.6250  Degrees of Freedom =  3.00

Probability of a greater chi-square value, P = 0.05443

 The program has limited capability for pooling.  The user should
 judge the necessity for pooling and if necessary, do pooling by hand.

 Goodness of Fit Testing with some Pooling

  Cell           Cut           Observed     Expected   Chi-square
   i            Points          Values       Values       Values
 -----------------------------------------------------------------
   1     0.000        45.2            7        7.09        0.001
   2      45.2        90.4           11       16.02        1.575
   3      90.4        136.           22       14.49        3.890
   4      136.        181.            6        7.09        0.168
   5      181.        271.            1        2.30        0.732
 -----------------------------------------------------------------
 Total Chi-square value =     6.3673  Degrees of Freedom =  2.00

Probability of a greater chi-square value, P = 0.04143
	Detection Fct/Global/Plot: Detection Probability 3	
            |+------+-----+------+-----+------+-----+-----+------+------+-----+|
     1.2052 +                                                                  +
            |                                                                  |
            |                                                                  |
            |                                                                  |
            |       *******                                                    |
     1.0583 +       *     *                                                    +
            |       *     *                                                    |
            | fff   *     *                                                    |
            |    fff*     *                                                    |
            |       ff    *                                                    |
 D   0.9113 +       * f   *                                                    +
 e          |       *  f  *                                                    |
 t          |       *   ff*                                                    |
 e          |       *     f                                                    |
 c          |       *     *f                                                   |
 t   0.7643 +       *     * f                                                  +
 i          |********     *  f                                                 |
 o          |*      *     *   f                                                |
 n          |*      *     *    f                                               |
            |*      *     *     f                                              |
 P   0.6173 +*      *     *      f                                             +
 r          |*      *     *       f                                            |
 o          |*      *     *        f                                           |
 b          |*      *     *      **************                                |
 a          |*      *     *      *  f  *      *                                |
 b   0.4703 +*      *     *      *   f *      *                                +
 i          |*      *     ********    f*      *                                |
 l          |*      *     *      *     f      *                                |
 i          |*      *     *      *     *f     *                                |
 t          |*      *     *      *     * f    *                                |
 y   0.3234 +*      *     *      *     *  f   *                                +
            |*      *     *      *     *   ff *                                |
            |*      *     *      *     *     f*                                |
            |*      *     *      *     *      f                                |
            |*      *     *      *     *      *f                               |
     0.1764 +*      *     *      *     *      * ff                             +
            |*      *     *      *     *      ****f**                          |
            |*      *     *      *     *      *    ff                          |
            |*      *     *      *     *      *     *ff                        |
            |*      *     *      *     *      *     ***ffff                    |
     0.0294 +*      *     *      *     *      *     *     *fffff        *******+
            |                                             ******fffffffffffffff|
            |+------+-----+------+-----+------+-----+-----+------+------+-----+|
          0.000       54.244      108.488      162.733      216.977      271.221
                27.122       81.366      135.611     189.855       244.099      

                                Radial distance in meters          
	Detection Fct/Global/Plot: Pdf 3	
            |+------+-----+------+-----+------+-----+-----+------+------+-----+|
     0.0112 +                                                                  +
            |                                                                  |
            |                                                                  |
            |                                                                  |
            |                          ********                                |
     0.0098 +                          *      *                                +
            |                          *      *                                |
            |                          *      *                                |
            |                          *      *                                |
            |                          *      *                                |
     0.0085 +                          *      *                                +
            |                          *      *                                |
 P          |                 fffffff***      *                                |
 r          |               ff   *   f *      *                                |
 o          |              f     *    f*      *                                |
 b   0.0071 +       ******f      *     f      *                                +
 a          |       *     *      *     *f     *                                |
 b          |       *    f*      *     * f    *                                |
 i          |       *   f *      *     *  f   *                                |
 l          |       *     *      *     *   f  *                                |
 i   0.0057 +       *  f  *      *     *    f *                                +
 t          |       * f   *      *     *     f*                                |
 y          |       *     *      *     *      *                                |
            |       *f    *      *     *      f                                |
 D          |       *     ********     *      *f                               |
 e   0.0044 +       f     *      *     *      * f                              +
 n          |       *     *      *     *      *                                |
 s          |      f*     *      *     *      *  f                             |
 i          |       *     *      *     *      *   f                            |
 t          |     f *     *      *     *      *    f                           |
 y   0.0030 +       *     *      *     *      ******f                          +
            |       *     *      *     *      *     *f                         |
            |    f  *     *      *     *      *     *                          |
            |       *     *      *     *      *     * f                        |
            |   f   *     *      *     *      *     *  f                       |
     0.0016 +********     *      *     *      *     ****ff*                    +
            |* f    *     *      *     *      *     *     f                    |
            |*      *     *      *     *      *     *     *f                   |
            |*      *     *      *     *      *     *     * ff          *******|
            |*f     *     *      *     *      *     *     *   fff       *     *|
     0.0003 +*      *     *      *     *      *     *     *      ffffffffffffff+
            |                                             ***************      |
            |+------+-----+------+-----+------+-----+-----+------+------+-----+|
          0.000       54.244      108.488      162.733      216.977      271.221
                27.122       81.366      135.611     189.855       244.099      

                                Radial distance in meters          
	Detection Fct/Global/Chi-sq GOF Test 3	

  Cell           Cut           Observed     Expected   Chi-square
   i            Points          Values       Values       Values
 -----------------------------------------------------------------
   1     0.000        27.1            2        2.67        0.168
   2      27.1        54.2            9        7.24        0.428
   3      54.2        81.4            6        9.80        1.475
   4      81.4        108.           10        9.90        0.001
   5      108.        136.           13        7.99        3.134
   6      136.        163.            4        5.15        0.258
   7      163.        190.            2        2.56        0.121
   8      190.        217.            0        0.94        0.943
   9      217.        244.            0        0.37        0.372
  10      244.        271.            1        0.37        1.102
 -----------------------------------------------------------------
 Total Chi-square value =     8.0034  Degrees of Freedom =  7.00

Probability of a greater chi-square value, P = 0.33229

 The program has limited capability for pooling.  The user should
 judge the necessity for pooling and if necessary, do pooling by hand.

 Goodness of Fit Testing with some Pooling

  Cell           Cut           Observed     Expected   Chi-square
   i            Points          Values       Values       Values
 -----------------------------------------------------------------
   1     0.000        27.1            2        2.67        0.168
   2      27.1        54.2            9        7.24        0.428
   3      54.2        81.4            6        9.80        1.475
   4      81.4        108.           10        9.90        0.001
   5      108.        136.           13        7.99        3.134
   6      136.        163.            4        5.15        0.258
   7      163.        271.            3        4.24        0.361
 -----------------------------------------------------------------
 Total Chi-square value =     5.8256  Degrees of Freedom =  4.00

Probability of a greater chi-square value, P = 0.21256
	Density Estimates/Global	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    271.2211    
 # observations:    47

 Model  3
    Uniform key, k(y) = 1/W
    Cosine adjustments of order(s) :  1, 2


              Point        Standard    Percent Coef.        95% Percent
  Parameter   Estimate       Error      of Variation     Confidence Interval
  ---------  -----------  -----------  --------------  ----------------------
    D         6.2358       1.5060          24.15       3.8931       9.9881    
    N         150.00       36.226          24.15       93.000       240.00    
  ---------  -----------  -----------  --------------  ----------------------

 Measurement Units                
 ---------------------------------
 Density: Numbers/Sq. kilometers 
     EDR: meters         

 Component Percentages of Var(D)
 -------------------------------
 Detection probability   :  46.2
 Encounter rate          :  53.8
	Estimation Summary - Encounter rates         	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
                 n       47.000    
                 k       96.000    
                 K       190.00    
                 n/K    0.24737       17.71    95.00 0.17452      0.35062    
                 Left    0.0000
                 Width   271.22    
	Estimation Summary - Detection probability   	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
 Uniform/Cosine         
                 m       2.0000    
                 LnL    -245.30    
                 AIC     494.61    
                 AICc    494.88    
                 BIC     498.31    
                 Chi-p  0.21256    
                 h(0)   0.15839E-03   16.42    45.00 0.11403E-03  0.22000E-03
                 p      0.17166       16.42    45.00 0.12358      0.23843    
                 EDR     112.37        8.21    45.00  95.268       132.54    
	Estimation Summary - Density&Abundance       	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
 Uniform/Cosine         
                 D       6.2358       24.15   128.30  3.8931       9.9881    
                 N       150.00       24.15   128.30  93.000       240.00    
