ACDC 2019 Naturalist
Analysis 29 : Details
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Results: main figures Previous analysis Back to global report Next analysis

Study type: Point transect, Radial distance, No clustering.

Units used: Meter for distances, Sq. Kilometer for areas.

Note: Most figures have been rounded for readability, but 'CoefVar Density' have been further modified : converted to %

Echant Espèce Passage Adulte Durée NTot Obs Max Dist Analyse Mod Key Fn Mod Adj Ser Left Trunc Dist Right Trunc Dist Fit Dist Cuts ExCod Effort NObs Obs Rate NumPars AdjSer Delta AIC Chi2 P KS P CvM Uw P CvM Cw P CoefVar Density Qual Bal 3 Qual Bal 2 Qual Bal 1 Qual Chi2+ Qual KS+ Qual DCv+ Density Min Density Max Density Number Min Number Max Number EDR/ESW Min EDR/ESW Max EDR/ESW PDetec Min PDetec Max PDetec RunFolder
29 1 Sylvia atricapilla a+b m 10mn 403 511.41 47 HAZARD POLY 6 25 1 190 402 99.8 0 0 0.1 0.52 0.6 0.6 9.9 0.56 0.56 0.56 0.47 0.56 0.59 36.93 30.4 44.86 886 730 1077 135 125.9 144.9 0.07 0.061 0.08 SylvAtri-ab-10mn-m-haz-pol-la-ma-7ak3cu9l
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Results: all details Previous analysis Back to global report Next analysis

Study type: Point transect, Radial distance, No clustering.

Units used: Meter for distances, Sq. Kilometer for areas.

Note: All values have been left untouched, as output by MCDS (no rounding, no conversion)

Analyse Echant Espèce Passage Adulte Durée FonctionClé SérieAjust TrGche TrDrte NbTrchMod Abrev. Analyse OptimTrunc NTot Obs Min Dist Max Dist Mod Key Fn Mod Adj Ser Mod Chc Crit Conf Interv Left Trunc Dist Right Trunc Dist Fit Dist Cuts ExCod StartTime ElapsedTime RunFolder NObs NSamp Effort EncRate CoefVar EncRate Min EncRate Max EncRate DoF EncRate Left Trunc Right Trunc Obs Rate TotNum Pars Delta AIC AIC Chi2 P Chi2 P 1 Chi2 P 2 Chi2 P 3 f/h(0) CoefVar f/h(0) Min f/h(0) Max f/h(0) DoF f/h(0) PDetec CoefVar PDetec Min PDetec Max PDetec DoF PDetec EDR/ESW CoefVar EDR/ESW Min EDR/ESW Max EDR/ESW DoF EDR/ESW AICc BIC LogLhood KS P CvM Uw P CvM Cw P Key Fn Adj Ser NumPars KeyFn NumPars AdjSer Num Covars EstA(1) EstA(2) EstA(3) DensClu CoefVar DensClu Min DensClu Max DensClu DoF DensClu Density Delta CoefVar Density CoefVar Density Min Density Max Density DoF Density Number CoefVar Number Min Number Max Number DoF Number Qual Bal 1 Qual Bal 2 Qual Bal 3 Qual Chi2+ Qual KS+ Qual DCv+ Group Left Trunc Group Right Trunc Order Same Trunc AIC Order Close Trunc Chi2 KS DCv Order Close Trunc DCv Order Close Trunc Bal 1 Qual Order Close Trunc Bal 2 Qual Order Close Trunc Bal 3 Qual Order Close Trunc Bal Chi2+ Qual Order Close Trunc Bal KS+ Qual Order Close Trunc Bal DCv+ Qual Order Global Chi2 KS DCv Order Global Bal 1 Qual Order Global Bal 2 Qual Order Global Bal 3 Qual Order Global Bal Chi2+ Qual Order Global Bal KS+ Qual Order Global Bal DCv+ Qual Order Global DeltaAIC Chi2 KS DCv
29 47 1 Sylvia atricapilla a+b m 10mn HAZARD POLY 6.391710 nan 25.000000 SylvAtri-ab-10mn-m-haz-pol-la-ma 1 403 1.212094 511.409745 HAZARD POLY AIC 95 6.391710 nan 25.000000 1 2023-04-30 15:55:03.337000 1.184997 SylvAtri-ab-10mn-m-haz-pol-la-ma-7ak3cu9l 402 96 190 2.115789 0.068798 1.845974 2.425042 95 6.391710 511.409800 99.751861 2.000000 0.000000 4507.106000 0.101200 0.101200 nan nan 0.000110 0.071378 0.000095 0.000126 400.000000 0.069735 0.071378 0.060616 0.080225 400.000000 135.049600 0.035689 125.901800 144.861900 400.000000 4507.137000 4515.100000 -2251.553000 0.516043 0.600000 0.600000 HAZARD POLY 2.000000 0.000000 0.000000 100.828300 3.829837 nan 36.926330 0.099136 30.397570 44.857340 321.199400 36.926330 0.000000 0.099136 30.397570 44.857340 321.199400 886 0.099136 730 1077 321.199400 0.557162 0.556845 0.563787 0.465836 0.558271 0.594383 1 0 0 0 1 0 0 0 0 0 0 7 4 5 5 5 5 4 14
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Summary computation log Previous analysis Back to global report Next analysis 

This is mcds.exe version 6.2.0     
 Options;                                                                      
 Type=Point;                                                                   
 Distance=Radial /Measure='Meter';                                             
 Area /Units='Sq. Kilometer';                                                  
 Object=Single;                                                                
 SF=1;                                                                         
 Selection=Sequential;                                                         
 Lookahead=1;                                                                  
 Maxterms=5;                                                                   
 Confidence=95;                                                                
 print=Selection;                                                              
 End;                                                                          
 Data /Structure=Flat;                                                         
 Fields=STR_LABEL,STR_AREA,SMP_LABEL,SMP_EFFORT,DISTANCE;                      
 Infile=anlys\230430-153402\SylvAtri-ab-10mn-m-haz-pol-la-ma-7ak3cu9l\data.txt /NoEcho;                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 Data will be input from file - [...]AZ-POL-LA-MA-7AK3CU9L\DATA.TXT
 End;                                                                          
 Dataset has been stored.
 Estimate;                                                                     
 Distance /Left=6.39171;                                                       
 Density=All;                                                                  
 Encounter=All;                                                                
 Detection=All;                                                                
 Size=All;                                                                     
 Estimator /Key=HAZARD /Adjust=POLY /Criterion=AIC;                            
 Monotone=Strict;                                                              
 Pick=AIC;                                                                     
 GOF /NClass=25;                                                               
 Cluster /Bias=GXLOG;                                                          
 VarN=Empirical;                                                               
 End;
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Detailed computation log

Estimation Options Listing Previous analysis Back to global report Next analysis 

 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 Previous analysis Back to global report Next analysis 

 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 Previous analysis Back to global report Next analysis 

 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 Previous analysis Back to global report Next analysis

Detection Fct/Global/K-S GOF Test Previous analysis Back to global report Next analysis 

 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 Previous analysis Back to global report Next analysis

Detection Fct/Global/Plot: Pdf 1 Previous analysis Back to global report Next analysis

Detection Fct/Global/Chi-sq GOF Test 1 Previous analysis Back to global report Next analysis 

  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 Previous analysis Back to global report Next analysis 

 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 Previous analysis Back to global report Next analysis 

                         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 Previous analysis Back to global report Next analysis 

                         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 Previous analysis Back to global report Next analysis 

                         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
Generated on 30/04/2023 17:29:57 with Python 3, NumPy 1.23.2, Pandas, ZOOpt 0.4.0, Matplotlib, Jinja 2 ... and AutoDS , with icons from Font Awesome (sources : acdc-2019-nat-ds-params.py, ) .