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J/A+AS/117/519      Structures around the SGP                  (Escalera+, 1996)
================================================================================
Detection of structures on multiple scales around the South Galactic Pole.
A two-dimensional  analysis of the COSMOS/UKST Southern Sky Galaxy Catalogue.
    Escalera E., MacGillivray H.T.
    <Astron. Astrophys. Suppl. Ser. 117, 519 (1996)>
    =1996A&AS..117..519E      (SIMBAD/NED BibCode)
================================================================================
ADC_Keywords: Clusters, galaxy ; Morphology ; Photometry
Keywords: cosmology: large-scale structure of Universe -
          galaxies: clusters - surveys - methods: data analysis

Description:
   We report the results of a 2D analysis of distributions of galaxies in
   a search for structures on a wide range of scales, from clusters up to
   superclusters  and beyond, including the  identification of voids. The
   structures  are identified in  data from the  COSMOS/UKST Southern Sky
   Galaxy  Catalogue  (CUSSGC).   The  subsample   used  in   this  first
   investigation   contains  some  1.4x10^6^  galaxies   in  an  area  of
   ~69x44degrees  around the South  Galactic Pole. From  our analysis, we
   find 25 very large-scale structures (of 10 degrees or more in extent),
   about 60  structures  of  intermediate  scales  (superclusters  and/or
   elongated features), and more  than  220  cluster-sized  objects.  All
   these features are significant,  having  high  confidence  levels  for
   detection. Some  extended  voids  are  also  detected  in  this  area,
   likewise  with high significance. This work is based on the use of the
   wavelet  transform, the method  of which has  already been extensively
   described  in a previous paper in  which we demonstrated the principle
   of the technique. The wavelet  analysis  gives  the  position  of  the
   structures  detected,  together  with  significance  levels  and  some
   parametrisation  of their properties  (extent, population, elongation,
   etc).  Ultimately,  our  aim  is  the  construction  of  a  large  and
   homogeneous database  of structures  on all  scales in  this important
   part of the southern sky.

File Summary:
--------------------------------------------------------------------------------
 FileName       Lrecl  Records  Explanations
--------------------------------------------------------------------------------
ReadMe             80        .  This file
table1             45       12  Definition of the subsamples ("domains")
                                 successively used for the detection.
table2             76      111 *Detection of the structures
table3             49       50  Membership of the structures detected
table4             57       96  Morphological topology of the structures
                                 through the foreground set
table5             61      111  Summary of the large-scales detection results
                                 for all the domains
table6             75       54  Definition of the subsamples ("volumes")
                                successively used for the small-scales detection
table7             79      234  Detection of the structures
table8             67      234  Membership of the structures detected.
table9             50      235  Morphological topology of the structures
table10            69      234  Summary of the small- and intermediate-scales
                                 detection results for all the volumes.
table12            80      345  Multi-scale detection, the main database
table13            37      184  Identification with the ACO catalogue
--------------------------------------------------------------------------------
Note on table2: Results are listed for the 12 domains separately, 
     in consistency with the figures 1-12.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table1
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   5-  8  A4    ---     No        Codes that will be used through this paper.
  13- 16  I4    ---     Ngal      Number of galaxies involved in the domains.
  26- 30  F5.2  mag     BjLow     Lower limit of the B_j magnitude. (1)
  34- 38  F5.2  mag     BjUp      Upper limit of the B_j magnitude. (1)
  42- 45  F4.2  ---     fi        ? Parameter to take into account a distance
                                     effect (see text) : fi is the rate in
                                     dimensions from one field to another
                                     (computation starts from [D180]).
--------------------------------------------------------------------------------
Note (1): Note that the first 3 subsamples are consecutive (the sum 
     involves all the available data), while the remaining 9 are 
     thinner and thinner magnitude slices.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table2
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   2-  5  A4    ---     No        Identifies the sample to which the structure
                                   belongs.
   9- 14  F6.2  deg     RAdeg     [-36.40-22.50] Right ascension J2000 of the
                                   structures following our procedure
                                   i.e. the position of the central maximum of
                                   the wavelet coefficients (see text).
  18- 23  F6.2  deg     DEdeg     Declination J2000 of the structure
                                    (decimal degrees)
  27- 31  F5.3  ---     PSL       Significance level  of the structures (1)
  35- 38  A4    ---     Name      Labels of the structures
  40- 45  F6.2  deg     RAdeg2    [-37.28-22.57] Right ascension J2000 of the
                                    centroid (2)
  49- 54  F6.2  deg     DEdeg2    Declination J2000 of the centroid (2)
  58- 61  F4.2  deg     m-axis    Minor semi-axis
  64- 68  F5.2  deg     M-axis    Major semi-axis
  72- 76  F5.1  deg     Theta     Declination axis, increases toward the left
                                   of the image (figures)
--------------------------------------------------------------------------------
Note (1): PSL gives the relative number of structures equivalent 
     found in a set of 1000 random simulations (see text), so value
     s close to 0 identify high confidence levels.
Note (2): Parametrisation of the structures by ellipses.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table3
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   3-  6  A4    ---     No        Sample (domain) to which the structure belong
  11- 13  I3    ---     N1        Populations inside a circular areas centered
                                   on the structures with a radius of 1 a_opt
  18- 21  I4    ---     N2        Populations inside a circular areas centered
                                   on the structures with a radius of 5 a_opt.
                                   Since wavelets are not sensitive to what
                                   happens beyond 5 a_opt, Hence N2 can be
                                   considered as the local background of the
                                   structure.
  26- 28  I3    ---     E1        Excess of population (E1) inside the a_opt
                                   area. (1)
  33- 37  F5.2  ---     Dn        Delta_n parameter
  41- 45  A5    ---     Name      Labels of the structures as previous tables
  47- 49  F3.0  ---     Nb        Rank number within the domain.
--------------------------------------------------------------------------------
Note (1): The values of E1 are estimated in terms of local 
     fluctuations with the delta_n parameter given in the column Dn.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table4
--------------------------------------------------------------------------------
   Bytes Format Units   Label    Explanations
--------------------------------------------------------------------------------
       1  A1    ---     Zone     [A-C] Zone considered (1)
   4-  7  A4    ---     Name     Labels of the successive structures.
   9- 24  A16   ---     No       Fields into which the structures appear;
                                  the "+" symbol indicates that the concerned
                                  structures also appear in an alternative set
  26- 28  A3    ---     Class    Class to which the structure belongs, in terms
                                  of extension (codes into brackets). (2)
  34- 54  A21   ---     Morph    Morphological events within the respective
                                 structures (3)
--------------------------------------------------------------------------------
Note (1): A: domains [D085], [D164], and [D169]
          B: domains [D180], [D185], [D190], [D193], and [D196]
          C: domains [D200], [D201], [D203], and [D205]
Note (2): The successive categories are as follows :
          {W} = Oversized structures,
          {V} = Very large structures,
          {S} = Superclusters,
          {E} = Intermediate or Elongated structures
          {C} = Cluster-sized structures,
Note (3): The morphological events are defined in the form of a 
     series of keywords "includes" and "included in" identifies 
     structures fully overlapping each other;
     "involves" and "involved in" identifies partial overlapping
     "close to" denotes structures with the respective centroids
      separated by less than the greater major axis but without any
      superposition. Obviously optical superpositions are not taken into
      account.
     "isolated" identifies structures fully independent of each others.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table5
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   3-  8  F6.2  deg     RAdeg     [-37.28-22.57] Right ascension J2000 of the
                                   centroid of the ellipse
  12- 17  F6.2  deg     DEdeg     Declination J2000 of the centroid of the
                                   ellipse
  21- 25  F5.2  deg     M-axis    Major axis of the ellipse
  30- 33  A4    ---     Name      Label of the structures. Symbol "=" denotes
                                   structures identifyed in several domains
  37- 40  A4    ---     No        Domain of appearance of the structures
  45- 48  F4.2  ---     fi        []? Distance effect (see table 1)
  53- 55  A3    ---     Class     Morphological classification (see table 4)
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table6
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   2-  5  A4    ---     No        Codes that will be used through this paper.
  10- 14  I5    ---     Ngal      Number of galaxies involved in the successive
                                   samples
  18- 23  F6.2  deg     RAdegLow  Lower value of right ascension J2000  (1)
  26- 31  F6.2  deg     RAdegUp   Upper value of right ascension J2000 (1)
  38- 43  F6.2  deg     DEdegLow  Lower value of declination J2000 (1)
  46- 51  F6.2  deg     DEdegUp   Upper value of declination J2000 (1)
  56- 60  F5.2  mag     BjLow     Lower value of Bj magnitude (2)
  64- 68  F5.2  mag     BjUp      Upper value of Bj magnitude (2)
  70- 75  A6    ---   n_Bjmag     Part of Bj magnitude
--------------------------------------------------------------------------------
Note (1): Dimensions differ from one field to another, though
Note (2): Note that 3 volumes are splitted each into two parts (cuts in
           magnitudes).
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table7
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
       1  A1    ---     Zone      Zone considered (1)
   3-  6  A4    ---     No        Sample to which the structure belongs.
   9- 14  F6.2  deg     RAdeg     [-39.99-25.54] Right ascension J2000 of the
                                   central maximum of the wavelet coefficients
  17- 22  F6.2  deg     DEdeg     Declination J2000 of the central maximum of
                                   the wavelet coefficients
  25- 29  F5.3  ---     PSL       Significance level  of the structures (2)
  32- 36  A5    ---     Name      Labels of the structures
  39- 41  F3.0  ---     Nb        Rank numbers consistent with the marks on the
                                   respective figures
  43- 48  F6.2  deg     RAdeg2    [-40.33-25.42] Right ascension J2000 of the
                                   centroid
  51- 56  F6.2  deg     DEdeg2    Declination J2000 of the centroid
  59- 63  F5.3  deg     m-axis    Minor axis of the ellipse
  66- 70  F5.3  deg     M-axis    Major axis of the ellipse
  73- 77  F5.1  deg     Theta     Orientation of the ellipse, referred to the
                                   declination axis and increases toward the
                                   left of the image (figures).
--------------------------------------------------------------------------------
Note (1): Results are listed for the 11 zones separately in consistency 
     with the figures 13-23.
Note (2): P_SL gives the relative number of structures equivalent 
     found in a set of 1000 random simulations (see text), so values 
     close to 0 identify high confidence levels.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table8
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
       1  A1    ---     Zone      Zone considered
   3-  6  A4    ---     No        Sample (volume) to which the structure belongs
  11- 14  I4    ---     N1        Populations inside a circular area centered
                                   on the structures with a radius of 1 a_opt
  19- 23  I5    ---     N2        Populations inside a circular areas centered
                                   on the structures with a radius of 5 a_opt.
                                   Since wavelets are not sensitive to what
                                   happens beyond 5 a_{opt}, N2 can be
                                   considered as the local background of the
                                   structure.
  29- 31  I3    ---     E1       ? Excess of population inside the a_{opt} area.
                                   Then the values of E1 are estimated in terms
                                   of local fluctuations with the delta_n
                                   parameter
  36- 40  F5.2  ---     Dn        ? Delta_n parameter
  46- 50  A5    ---     Name      Label of the structures
  56- 58  F3.0  ---     Nb        Rank number consistent with the marks on the
                                   corresponding figures.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table9
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   3-  7  A5    ---     Name      Label of the structures.
  12- 15  A4    ---     No        Volumes into which the structures appear.
  23- 25  A3    ---     Class     Class to which the structure belong, in terms
                                   of extension (codes into brackets, see also
                                   table 4). (1)
  30- 50  A21   ---     Morph     Morphological events within the respective
                                   structures (2)
--------------------------------------------------------------------------------
Note (1): The only two categories concerned here are :
          {C} = Cluster-sized structures,
          {A} = Compact clusters or Associations.
Note (2): Morphological events are in the form of a series of key-words:
     "includes" and "included in" identify structures fully overlapping
      each other
     "involves" and "involved in" identify partial overlapping
     "close to" denotes structures with the respective centroids separated
      by less than the greater major axis but without any superposition.
      Obviously optical superpositions are not taken into account. The
      absence of any comment identifies structures fully isolated.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table10
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   6- 11  F6.2  deg     RAdeg     [-40.33-25.42] Right ascension J2000 of the
                                   ellipse centroid
  19- 24  F6.2  deg     DEdeg     Declination J2000 of the ellipse centroid
  32- 35  F4.2  deg     M-axis    Major axis
  41- 45  A5    ---     Name      Label of the structure
  50- 53  A4    ---     Volume    Volume of appearance of the structures
      60  I1    ---     IM        []? Estimator of the distance effect scales
                                   from 1 to 6
  66- 68  A3    ---     Class     Morphological classification
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table12
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
       1  A1    ---     Samp      [ABC] Sample A: Very Large Structures
                                               B: Superclusters
                                               C: Cluster-sized Structures
   3- 10  A8    ---     COS       Numerotation of our own : "COS" refers to the
                                   information that follows, i.e. coordinates
                                   and sizes. The Very Large Structures are
                                   numbered from 1, the Superclusters are
                                   numbered from 100, and the lower scaled
                                   structures are numbered from 1000.
  15- 16  I2    h       RAh       Right ascension J2000
  18- 21  F4.1  min     RAm       Right ascension J2000
      28  A1    ---     DE-       Declination sign
  29- 30  I2    deg     DEd       Declination J2000
  32- 33  I2    arcmin  DEm       Declination J2000
  39- 43  F5.2  deg     M-axis    Major axis of the ellipses that fits the
                                   structures
  49- 53  A5    ---     Name      Labels used through this paper, consistent
                                   with all previous tables, figures and text.
  58- 61  A4    ---     Sample    Subsample into which the successive structures
                                   are detected :
                                    "D" corres. to the magnitude slices (sect.4)
                                    "V" to the volumes (section 5.).
      68  I1    ---     IM        []? Index that informs on the magnitude
                                   range of the concerned subsample : the
                                   distance effect is supposed to increase with
                                   values of IM.
  73- 75  A3    ---     Class     Categories of the structures, in terms of
                                   overall extension (codes into brackets). (1)
--------------------------------------------------------------------------------
Note (1): The successive categories are as follows :
          {W} = Oversized structures,
          {V} = Very large structures,
          {S} = Superclusters,
          {E} = Intermediate or Elongated structures,
          {C} = Cluster-sized structures,
          {A} = Compact clusters or Associations.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table13
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   1-  5  F5.3  ---     PSL       Confidence level (1)
   7- 10  F4.2  deg     R         Difference in the positions between our
                                   structures (e.g. as listed in tables 2.)
                                   and the Abell clusters
  12- 19  A8    ---     Abell     Successive Abell clusters most likely
                                   identified to our structures.
  21- 23  I3    ---     Ngal      Population
  25- 30  F6.4  ---     z         ? Redshift
  32- 36  F5.2  mag     Mag       Magnitude of the 10th ranked galaxy, so we can
                                   easily check the consistency with the
                                   identifyed structure
--------------------------------------------------------------------------------
Note (1): Values greater than 0.050 correspond to structures not 
     significant from our procedure, thus not listed in the previous tables.
--------------------------------------------------------------------------------

Table 11. : Detection of the voids.
 -----------------------------------------------------------------------------
                        approximative            domains of        magnitude
 Void  alpha   delta     extension      P_SL     appearance        range (B_j)
 ------------------------------------------------------------------------------
  OB   -11.5   -20.0     27.0 x 10.0    0.000    D085, D164, D169  8.5 to 17.3
  OC   -11.0   -51.6     16.0 x  9.0    0.000    D085, D164, D169  8.5 to 17.3
  OA    +8.0   -38.0      9.0 x  6.0    0.027    D085              8.5 to 16.4
 ------------------------------------------------------------------------------

Courtesy: E. Escalera, <escalera@OBMARA.CNRS-MRS.FR>

References:
  Escalera E., Mazure, A., 1992, ApJ, 388, 23         =1992ApJ...388...23E
  Escalera E., MacGillivray H. T., 1995, A&A, 298, 1  =1995A&A...298....1E
  MacGillivray H.T., Yentis D.J., 1994, in {Astronomy from Wide-Field
    Imaging}, IAU Symposium No. 161, eds. H.T. MacGillivray et al.,
    Kluwer Academic Publishers, Dordrecht, p. 632.
================================================================================
(End)                                       Patricia Bauer   [CDS]   28-Feb-1996

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