a statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between...

8
Mousam; (1989), 40, 2. 207·214 Variability in drought incidence over India appro ach 55 1. 577 . 3R : 519.24 (540) A statistical A. CHOWD HU RY, M. M. DAND EKAR and P. S. RAUT Meteorological Office, PIIII C (Recci,,,,,I 24 October 1984) lIT< - 113..n ( 1. 75- I!' . 7) .a ".f' I.a """!" 'I'I!* 3(fIl1': qT 'or 'l." * qfTlfl "J" "1 RfR. rn am 'rfT .a rn m 'lID ..n .a " f<f.rut fT. rn 'IT = 'f f'PTl 'f'IT I "' ,q * lR'ff. II" .q 'If1 if 75 " ;pf ffi 1fTT"f ;f.- tffif;f.t RIfT I 1lWf 'j'JI .,.m "" am Pfi; 'IT'fl; f.!<:FtT 'f'IT I f!;Tfr -.iT.,. if 'rfT Wl lI"ITR. "'" am I I" ..n * ""q 'rfT "" .a 'IT'fl; WI Pi . iT 'I'" fiI;rr .,..; 'r'" * "" if WIT 'f'IT I ,.., irn1: 'r"T ..n .. "PI """ """'" ..-i 1Iif>:" q fovii "," WIT 'f 'IT AO<"T "i "'1f' b., ., * f.!ft'ilfin ' 'f'IT 'I'lT >'T.a 'Ii'f .a 'If I 'j'JI ..n "" > t-T 0'1,.,...,n amu "" m.. <-rm 'f'IT I ZfWf ffi if. rn.,. rnn lW'f q: I{Ifl 191 s if 'm 'lIT I IJ' IJT f<r. 'lR"I' .,; "",..n",,, 'l.ID .,... f;r.m1fr.rilT "'" '"'" 3R'T ""'f 'f m I .,..,-ireT 'j'JI..n * "' . """ """'"" 0'1 '*"" WI ""!"Jf.!. "" if ""'. WIT 'IT 'f ."", I ABSTRACT. Based on the monsoon rainfall for J13 years (1875·1987), an attempt has been made to qua ntify drough t for the country as a whole and identifv dr ought years by develo ping a drought Index. Fo r this purpose total area of India recei ... ing monsoon rainfall IbS than 75 % of the normal was obta ined for each of the 11 3 years. h om this, mean drought affected area and its standard de viat ion were worked out. lhc difference between area a ffect ed by drought in any year and the 113 years' mean drought area divided by the stan- dard deviat ion was defined as drought index. Time interval between successive drought yea rs has been subjected to statistical analysis and the distribution determined and tested for randomness. The series o f drought years. was also subjected to return periodanalysis. w ithin the analvsed lime frame. 1 91 8 is fou nd 10 be the worst drought in I ndia. It is observed that India can sometimes even experience spells of three successive years of drought of varying intensity and extent. The: time interval between successive drought years can be ap proximately described by Poisson's distribution. I. Introduction Study of rainf all deficiency in India has attracted the at ten tion of Indian meteorologists tow ard s the begin- ning of the present century. Pioneering work in thi s fi eld was done by Sir Gilbert Walker in 1919, who wor- ked out rainfall depar tures from long -term means and identified bad mon soon years . Subsequently until 1950, there was hardly an y attempt to study droughts in India. Interest in drought studies revived aft er 1950, and parti- cularly af ter 1970, when drought incidence became a fre- quently recurrent fe atu re of Indian rainfall. Walker (1919) used seasonal r ainfall data during the period 1841 to 1908 in his study ; however, he had some doubts about t he deg ree of accuracy of the data . Drought concept was app lied, per hap s, for the first time to agri- culture by Rarndas (1950) who defined drought to have occurred if the weekly rainfall is less than Iwice the mean deviation. He identified 1877, 1899 and 1913 as years of outstandi ng agr icult ural drought, while in 1920 the drought was only partial, affecting northwest and central part s. Ramda s and Mallik (1948) defined dro ught to have occurred when the act ual rai nfall during a week was less than or equal to half the n ormal rainfall. Using th is defin ition, Mallik (1958) examined the occurrence of drought s in Bihar and Uttar Pradesh. Surpri singly, he could not identify 1918 as a dro ught year in east Uttar Pradesh and Bihar , from the point of view of shortening of wet season. William s (1958) studied the frequency of d rought in south India and c oncluded that Karn ataka has the least and Andhra Pradesh highest liability to drought. Mallik (1966) presented d istr ict- wise incidence of dry periods in west Rajasthan on weekly basis and developed a dr ought index based on number of dr y spells and their duration , He found that either good or deficient rainfall cond itions tend to occur simultaneously in many districts, lending support to the idea that west Raja sth an is a homogeneous cl im a tic area. During the past decade a number of studies have been reported on the identification of drought and its charac t- eristics, Ch owdhury , 'I al. (1 979) applied logarithmic (101)

Upload: others

Post on 16-Mar-2020

2 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided

Mousam; (1989), 40, 2. 207·214

Variability in drought incidence over Indiaapproach

551. 577 .3R : 519.24 (540)

A statistical

A. CHOWDHU RY, M . M. DANDEKAR a nd P. S. RAUT

Meteorological Office, PIIIIC

( Recci ,,,,,I 24 October 1984)

lIT< - 113..n ( 1. 75- I!' . 7) .a ".f'I.a """!" 'I'I!* 3(fIl1':qT~oi 'or*~ 'l." *qfTlfl "J" "1 RfR. rnam 'rfT~ .a~ rn m ~fTT 'lID ..n .a " f<f.rutfT. rn 'IT = 'f f'PTl 'f'IT ~ I ~'f "',q*R~ lR'ff. I I "~ .q ~~~~ ~ 'If1 if l1f~ ~ 7 5 'SIf~ " ;pf ffi~~~ 1fTT"f ;f.-~ tffif;f.t RIfT~ ~ I ~ 1lWf

'j'JI .,.m "" am Pfi; 'IT'fl; ~""I f.!<:FtT 'f'IT ~ I f!;Tfr -.iT.,. if 'rfT Wl lI"ITR. "'" am II" ..n *""q 'rfT"" .a 'IT'fl;~WI~ Pi. iT 'I'" fiI;rr .,..; 'r'" 'r""'~*"" if~ WIT 'f'IT I ,..,irn1: 'r"T ..n .."PI """ """'" ..-i 1Iif>:" q fovii"," WIT 'f 'IT ~ 3it~ AO<"T "i "'1f' b.,., *~ f.!ft'il fin ' 'f'IT ~ 'I'lT >'T.a 'Ii'f .a'If ~ I 'j'JI ..n "" >t-T 0'1,.,...,n amu~ "" m.. <-rm 'f'IT ~ I

~ ZfWf ffi if. rn.,. ~ ~ffl rnn f~ lW'f q:~~ I{Ifl 191 s if 'm 'lIT I ~ ~'fflJf f~1fT IJ'IJT f<r. 'lR"I' .,;

~-~~ "",..n",,, 'l.ID .,... """"~ f;r.m1fr.rilT "'" '"'" 3R'T ""'f ~ 'fm ~ I .,..,-ireT 'j'JI..n *"'.""""""'"" 0'1 '*""~ WI ""!"Jf.!. "" if ""'. WIT 'IT 'f."", ~ I

ABSTR ACT. Based on the monsoon rainfall for J13 years (1875·1987), an attempt has been made to qua ntifydrough t for the country as a who le and identifv drought years by develo ping a drought Index. Fo r thispurpose total area of India recei ... ing monsoon rainfall IbS than 75 % of the normal was obta ined foreach o f the 11 3 years. h om this, mean drought affected area and its standard de viat ion were worked o ut. lhcdifference between area a ffected by drought in any year and the 113 years' mean drought area divided by the stan­dard deviat ion was defined as drought index. Time interval between successive drought yea rs has been subjectedto statistical analysis and the distribution determined and tested for randomness. The series o f drought years. wasalso subjected to return periodanalysis.

w ithin the analvsed lime frame. 191 8 is fou nd 10 be the worst drought in I ndia. It is obse rved that India canso metimes even experience spells of three successive years of drought of varying intensity and extent. The: timeinterva l between success ive drought years can be ap proximat ely described by Poisson's distribution .

I. Introduction

Study of rainfall deficiency in India has a tt rac ted theat ten tion of Indian meteorolog ists towards the begin­ning of the present cen tury. Pion eering work in thi sfi eld was do ne by Sir Gi lbert Walker in 19 19, who wor­ked out rainfall depar tu res from long-term means a ndidentified bad monsoon years . Subsequently until 1950,there was hardly an y attempt to study droughts in Indi a.Interest in drought studies revived aft er 1950, and parti­cularly after 1970, when drou ght incidence became a fre­quently recurre nt feature of Indian ra infall.

Walker (1919 ) used seasona l rainfall dat a d ur ing theperiod 184 1 to 1908 in his study ; however, he had somedoubts about the deg ree of accuracy of the data . Dr oughtco ncept was applied, per haps, for the first t ime to agri ­culture by Rarndas (1950) who defined drought to haveoccurred if the weekly ra infall is less than Iwice the meandeviat ion. He ident ified 1877, 1899 and 1913 as yearsof outstandi ng agr icult ural drought, while in 1920 thedrought was only partial , affect ing northwest and central

parts. Ramdas a nd Mallik (1948) defined drought tohave occurred when the act ual rai nfall during a weekwas less than or equ al to hal f the normal rainfall. Usingth is defin ition, Mallik (1958) examined the occurrence ofdroughts in Bihar and Utta r Pradesh. Surprisingly,he could no t ide ntify 1918 as a drought year in eastUttar Pradesh and Bihar, from the point of view ofshortening of wet season. William s (1958) studied thefrequency of drought in so uth Ind ia a nd concluded thatKarnataka has the least and Andhra Pradesh highestliability to dr ought. Mallik ( 1966) presented d istr ict­wise incidence of dry periods in west Rajasthan onweekl y basis and developed a dr ought index based onnumber of dry spells and their duration, He found thateither good or deficient rainfall cond ition s tend to occursimultaneously in many districts, lending support to theidea that west Raja sthan is a homogeneous cl im aticarea.

During the past decade a number of stud ies have beenreported on the identification of drought and its charact­eris tics, Chowdhury ,'I al. ( 1979) applied logarithmic

(101)

Page 2: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided
Page 3: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided
Page 4: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided
Page 5: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided
Page 6: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided
Page 7: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided
Page 8: A statistical approachmetnet.imd.gov.in/mausamdocs/540213.pdf · 2019-02-28 · difference between area affected by drought in any yearand the 113years' mean drought area divided