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DIRECT-GLOBAL AND REVERSE-GLOBAL ASPECTS OF TOWN WISE
DISTRIBUTION OF KARACHI KATCHI-ABADIES
Shaheen Abbas* and Muhammad Rashid Kamal Ansari*
Mathematical Sciences Research Centre, Federal Urdu University of Arts Sciences & Technology,
Gulshan-e-Iqbal Campus, Karachi, Pakistan
ABSTRACT
From the administrative point of view previously Karachi was divided in five districts which is now divided in eighteen
towns. This change over has greatly altered the distribution pattern of KKAs. So it seems necessary to analyze the
situation anew. This study analyses the distribution of 200 KKAs in this new scenario. There are two aspects of these
analyses the local and the global. The local aspect refers to the mutual relationship of KKAs in a town whereas; the
global aspect refers to the relationship of a KA of a town with the KAs of all the other towns. This study is particularly
concerned with the global aspects of the town wise distribution of KAs of Karachi. Two techniques, the Direct-Global
technique (DGT) (utilizing the densest KAs) and the Reverse-Global technique (RGT) (utilizing the least populated
KAs) are developed in this regard. In addition, we have also studied the population density distribution of KKAs. For
this purpose we have developed the Global Flatten Gradient Density Model (GFGDM) an enhancement of our flattened
gradient density model (FGDM) developed earlier. The appropriateness of FDGDM is tested with the help of Log-Linear
Transformation Model (LLTM) and Log-Exponential Transformation Model (LETM). The later one appears to be more
appropriate.
