	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: 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    
 # observations:   403



 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 =  -2261.3819    
       Akaike information criterion =   4526.7637    
       Bayesian information criterion =   4534.7617    
       AICc =   4526.7935    
       Final parameter values:   100.79350      3.8291985    


 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   27 function evaluations.
       Final Ln(likelihood) value =  -2261.0780    
       Akaike information criterion =   4528.1558    
       Bayesian information criterion =   4540.1528    
       AICc =   4528.2158    
       Final parameter values:   99.715858      3.7165854    -0.44561603    

    Likelihood ratio test between models  1 and  2
       Likelihood ratio test value    =     0.6079
       Probability of a greater value =   0.435586
 *** Model  1 selected over model  2 based on minimum AIC              
	Detection Fct/Global/Parameter Estimates	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    511.4098    
 # observations:   403

 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        5.191    
    A( 2)      3.829       0.2107    
    h(0)     0.10947E-03  0.77788E-05       7.11      0.95216E-04  0.12586E-03
    p        0.69854E-01  0.49637E-02       7.11      0.60758E-01  0.80313E-01
    EDR       135.17       4.8023           3.55       126.05       144.94    
  ---------  -----------  -----------  --------------  ----------------------


 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                      = 0.0407                 p  = 0.5174


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

 W-sq (uniform weighting) = 0.1158          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)  = 0.0654          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	
            |+----+---------+----+----+----+----+----+----+----+----+----+----+|
     1.2567 +                                                                  +
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            |******                                                            |
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 D   0.9502 +*    *                                                            +
 e          |*    *****f                                                       |
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            |+----+---------+----+----+----+----+----+----+----+----+----+----+|
          0.000        118.018   196.696   275.374   354.053   432.731   511.410
              39.339        157.357   236.035   314.714   393.392   472.071     

                                Radial distance in meters          
	Detection Fct/Global/Plot: Pdf 1	
            |+----+---------+----+----+----+----+----+----+----+----+----+----+|
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            |                                        ******         ******     |
            |+----+---------+----+----+----+----+----+----+----+----+----+----+|
          0.000        118.018   196.696   275.374   354.053   432.731   511.410
              39.339        157.357   236.035   314.714   393.392   472.071     

                                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        39.3           39       34.14        0.692
   2      39.3        78.7           93      101.02        0.636
   3      78.7        118.          109      111.40        0.052
   4      118.        157.           64       63.59        0.003
   5      157.        197.           42       34.17        1.794
   6      197.        236.           27       19.89        2.545
   7      236.        275.           10       12.51        0.504
   8      275.        315.            5        8.38        1.361
   9      315.        354.            1        5.89        4.057
  10      354.        393.            6        4.30        0.672
  11      393.        433.            4        3.24        0.178
  12      433.        472.            1        2.50        0.904
  13      472.        511.            2        1.98        0.000
 -----------------------------------------------------------------
 Total Chi-square value =    13.3971  Degrees of Freedom = 10.00

Probability of a greater chi-square value, P = 0.20231

 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        39.3           39       34.14        0.692
   2      39.3        78.7           93      101.02        0.636
   3      78.7        118.          109      111.40        0.052
   4      118.        157.           64       63.59        0.003
   5      157.        197.           42       34.17        1.794
   6      197.        236.           27       19.89        2.545
   7      236.        275.           10       12.51        0.504
   8      275.        315.            5        8.38        1.361
   9      315.        354.            1        5.89        4.057
  10      354.        393.            6        4.30        0.672
  11      393.        433.            4        3.24        0.178
  12      433.        511.            3        4.48        0.491
 -----------------------------------------------------------------
 Total Chi-square value =    12.9835  Degrees of Freedom =  9.00

Probability of a greater chi-square value, P = 0.16335
	Density Estimates/Global	


 Effort        :    190.0000    
 # samples     :    96
 Width         :    511.4098    
 # observations:   403

 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         36.955       3.6444           9.86       30.452       44.846    
    N         887.00       87.475           9.86       731.00       1076.0    
  ---------  -----------  -----------  --------------  ----------------------

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

 Component Percentages of Var(D)
 -------------------------------
 Detection probability   :  51.9
 Encounter rate          :  48.1
	Estimation Summary - Encounter rates         	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
                 n       403.00    
                 k       96.000    
                 K       190.00    
                 n/K     2.1211        6.84    95.00  1.8521       2.4291    
                 Left    0.0000
                 Width   511.41    
	Estimation Summary - Detection probability   	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
 Hazard/Polynomial      
                 m       2.0000    
                 LnL    -2261.4    
                 AIC     4526.8    
                 AICc    4526.8    
                 BIC     4534.8    
                 Chi-p  0.16335    
                 h(0)   0.10947E-03    7.11   401.00 0.95216E-04  0.12586E-03
                 p      0.69854E-01    7.11   401.00 0.60758E-01  0.80313E-01
                 EDR     135.17        3.55   401.00  126.05       144.94    
	Estimation Summary - Density&Abundance       	

                         Estimate      %CV     df     95% Confidence Interval
                        ------------------------------------------------------
 Hazard/Polynomial      
                 D       36.955        9.86   321.97  30.452       44.846    
                 N       887.00        9.86   321.97  731.00       1076.0    
