	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
 Left most value set at:    6.391710    

 Estimators:
 -----------
 Estimator  1
 Key: Hazard Rate
 Adjustments - Function                 : Simple polynomials
             - 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:
 ----------------
 Based on user defined cut points



 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         :    511.4098    
 Left          :    6.391710    
 # observations:   402



 Model  1
    Hazard Rate key, k(y) = 1 - Exp(-(y/A(1))**-A(2))
       Results:
       Convergence was achieved with   14 function evaluations.
       Final Ln(likelihood) value =  -2251.5532    
       Akaike information criterion =   4507.1064    
       Bayesian information criterion =   4515.0996    
       AICc =   4507.1367    
       Final parameter values:   100.82825      3.8298367    


 Model  2
    Hazard Rate key, k(y) = 1 - Exp(-(y/A(1))**-A(2))
    Simple polynomial adjustments of order(s) :  4
       Results:
       Convergence was achieved with   15 function evaluations.
       Final Ln(likelihood) value =  -2251.2500    
       Akaike information criterion =   4508.5000    
       Bayesian information criterion =   4520.4893    
       AICc =   4508.5601    
       Final parameter values:   99.744708      3.7170846    -0.44517352    

    Likelihood ratio test between models  1 and  2
       Likelihood ratio test value    =     0.6065
       Probability of a greater value =   0.436106
 *** Model  1 selected over model  2 based on minimum AIC              
	Detection Fct/Global/Parameter Estimates	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    511.4098    
 Left          :    6.391710    
 # observations:   402

 Model
    Hazard Rate key, k(y) = 1 - Exp(-(y/A(1))**-A(2))


              Point        Standard    Percent Coef.        95 Percent
  Parameter   Estimate       Error      of Variation     Confidence Interval
  ---------  -----------  -----------  --------------  ----------------------
    A( 1)      100.8        5.203    
    A( 2)      3.830       0.2109    
    h(0)     0.10966E-03  0.78272E-05       7.14      0.95319E-04  0.12616E-03
    p        0.69735E-01  0.49775E-02       7.14      0.60616E-01  0.80225E-01
    EDR       135.05       4.8198           3.57       125.90       144.86    
  ---------  -----------  -----------  --------------  ----------------------


 Sampling Correlation of Estimated Parameters


         A( 1)   A( 2)
 A( 1)  1.000   0.760
 A( 2)  0.760   1.000
	Detection Fct/Global/Plot: Qq-plot	
	Detection Fct/Global/K-S GOF Test	


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

 D_n                      = 0.0408                 p  = 0.5160


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

 W-sq (uniform weighting) = 0.1162          0.500 < p <= 0.600
   Relevant critical values:
     W-sq crit(alpha=0.600) = 0.0968
     W-sq crit(alpha=0.500) = 0.1187

 C-sq (cosine weighting)  = 0.0657          0.500 < p <= 0.600
   Relevant critical values:
     C-sq crit(alpha=0.600) = 0.0622
     C-sq crit(alpha=0.500) = 0.0769
	Detection Fct/Global/Plot: Detection Probability 1	
            |++---------+--+------+--+-------+-+-------+-+-------+--+------+--+|
     1.4980 +                                                                  +
            |                                                                  |
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            | ***                                                              |
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 D   1.1326 + * *                                                              +
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 t   0.9499 + * ****  * *                                                      +
 i          | * *  *  *f*                                                      |
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 P   0.7673 + * *  *  * *                                                      +
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 y   0.4019 + * *  *  * *  *                                                   +
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            | * *  *  * *  *                                                   |
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            |                                  ***fffffffffffffffffffffffffffff|
            |++---------+--+------+--+-------+-+-------+-+-------+--+------+--+|
          0.000       107.395   188.198   269.001   349.804    430.607   511.410
           6.392    87.195   167.997    248.800   329.603   410.406   491.209   

                                Radial distance in meters          
	Detection Fct/Global/Plot: Pdf 1	
            |++---------+--+------+--+-------+-+-------+-+-------+--+------+--+|
     0.0098 +                                                                  +
            |                                                                  |
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            |         ***                                                      |
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 a          |       f * *  *                                                   |
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            |++---------+--+------+--+-------+-+-------+-+-------+--+------+--+|
          0.000       107.395   188.198   269.001   349.804    430.607   511.410
           6.392    87.195   167.997    248.800   329.603   410.406   491.209   

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

  Cell           Cut           Observed     Expected   Chi-square
   i            Points          Values       Values       Values
 -----------------------------------------------------------------
   1      6.39        26.6           20       14.69        1.921
   2      26.6        46.8           31       32.68        0.086
   3      46.8        67.0           45       50.60        0.620
   4      67.0        87.2           72       63.50        1.139
   5      87.2        107.           56       58.77        0.130
   6      107.        128.           29       44.77        5.556
   7      128.        148.           35       32.23        0.239
   8      148.        168.           25       23.22        0.136
   9      168.        188.           23       17.05        2.076
  10      188.        208.           17       12.81        1.369
  11      208.        229.           11        9.84        0.136
  12      229.        249.           13        7.72        3.616
  13      249.        269.            5        6.16        0.218
  14      269.        289.            3        5.00        0.797
  15      289.        309.            3        4.11        0.299
  16      309.        330.            1        3.42        1.712
  17      330.        350.            0        2.88        2.878
  18      350.        370.            4        2.45        0.988
  19      370.        390.            2        2.10        0.004
  20      390.        410.            4        1.81        2.643
  21      410.        431.            0        1.58        1.577
  22      431.        451.            0        1.38        1.381
  23      451.        471.            1        1.22        0.039
  24      471.        491.            1        1.08        0.006
  25      491.        511.            1        0.96        0.002
 -----------------------------------------------------------------
 Total Chi-square value =    29.5663  Degrees of Freedom = 22.00

Probability of a greater chi-square value, P = 0.12939

 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      6.39        26.6           20       14.69        1.921
   2      26.6        46.8           31       32.68        0.086
   3      46.8        67.0           45       50.60        0.620
   4      67.0        87.2           72       63.50        1.139
   5      87.2        107.           56       58.77        0.130
   6      107.        128.           29       44.77        5.556
   7      128.        148.           35       32.23        0.239
   8      148.        168.           25       23.22        0.136
   9      168.        188.           23       17.05        2.076
  10      188.        208.           17       12.81        1.369
  11      208.        229.           11        9.84        0.136
  12      229.        249.           13        7.72        3.616
  13      249.        269.            5        6.16        0.218
  14      269.        289.            3        5.00        0.797
  15      289.        309.            3        4.11        0.299
  16      309.        330.            1        3.42        1.712
  17      330.        350.            0        2.88        2.878
  18      350.        370.            4        2.45        0.988
  19      370.        390.            2        2.10        0.004
  20      390.        410.            4        1.81        2.643
  21      410.        431.            0        1.58        1.577
  22      431.        451.            0        1.38        1.381
  23      451.        471.            1        1.22        0.039
  24      471.        511.            2        2.04        0.001
 -----------------------------------------------------------------
 Total Chi-square value =    29.5597  Degrees of Freedom = 21.00

Probability of a greater chi-square value, P = 0.10120
	Density Estimates/Global	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    511.4098    
 Left          :    6.391710    
 # observations:   402

 Model  1
    Hazard Rate key, k(y) = 1 - Exp(-(y/A(1))**-A(2))


              Point        Standard    Percent Coef.        95% Percent
  Parameter   Estimate       Error      of Variation     Confidence Interval
  ---------  -----------  -----------  --------------  ----------------------
    D         36.926       3.6607           9.91       30.398       44.857    
    N         886.00       87.835           9.91       730.00       1077.0    
  ---------  -----------  -----------  --------------  ----------------------

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

 Component Percentages of Var(D)
 -------------------------------
 Detection probability   :  51.8
 Encounter rate          :  48.2
	Estimation Summary - Encounter rates         	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
                 n       402.00    
                 k       96.000    
                 K       190.00    
                 n/K     2.1158        6.88    95.00  1.8460       2.4250    
                 Left    6.3917    
                 Width   511.41    
	Estimation Summary - Detection probability   	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
 Hazard/Polynomial      
                 m       2.0000    
                 LnL    -2251.6    
                 AIC     4507.1    
                 AICc    4507.1    
                 BIC     4515.1    
                 Chi-p  0.10120    
                 h(0)   0.10966E-03    7.14   400.00 0.95319E-04  0.12616E-03
                 p      0.69735E-01    7.14   400.00 0.60616E-01  0.80225E-01
                 EDR     135.05        3.57   400.00  125.90       144.86    
	Estimation Summary - Density&Abundance       	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
 Hazard/Polynomial      
                 D       36.926        9.91   321.20  30.398       44.857    
                 N       886.00        9.91   321.20  730.00       1077.0    
