6
· 1 "" a/.I q/ (;I aciologv 25 1997 (' Intern a ti onal Gl aeiologica l S oe icty Arctic sea-ice conditions and the distribution of solar radiation during summer DONALD K PEROVICH, \ VALTER B. T UC KER, III cs rJr m.y Cold R eg ions R esea rch and Enginee ring L abomlol) ', 72 Road, Hano l' er, _ \'H 03755, CS A, ABSTRACT U nd ersta ndin g th e int eraction of so lar ra di a ti o n with th e ice cmu is c riti ca l in dete rminin g th e h ea t a nd mass balance of th e rc ti c ice pa ck, a nd in assess in g pot e nti al imp a ct s du e to climate cha nge. Because of th e imp o rt an ce o rth e ice -albedo fee d- h ac k mcch anism, inf o rm a ti o n o n th e s urf ace state of th e ice CO\'C'r is ne eded . Obse n 'a ti ons of the s urface state of sea ice wer e o bt a in ed from he li co pt er ph otog raph y mi ss ions made during the 199+ Ar c ti c O cea n Sec ti on crui se. Ph otog ra ph s from onc fli g ht , taken durin g th e heig ht of th e melt seaso n (31 Jul y a t 76 :'\,1 72 W, were analyzed in detail. Bare ice co wr ed 82°/', of th e tot al ar ea, melt po nd s 1 2%, a nd ope n \l'ater 6% , Th ere w as co n- sid erable va ri a bilit y in th ese ar ea fra cti ons on sca le s < I km 2 , Sa mple ar eas >2 3 km 2 ga ve re pre sent a ti\ 'e \ 'a lues of i ce co nc e ntr ation po nd fra cti o n. pon ds w C're num e rou s, with a numb er density of 18 00 po nd s km 2. Th e melt po nd s had a m ea n ar ea of 62 m 2 , a median ar ea of 1+ 111 2 , a nd a si ze di s tributi on th at was \\ 'C l! fit by a cUlllula ti\ 'C log no rm al di s tributi o n. \\ 'hile leads make up o nl y a sma ll po rti on of th e total ar ea, th ey are th e so ur ce o f\ ' irtu a ll y all of th e solar e ner gy input to th e ocea n. INTRODUCTION R es ult s from ge neral c ir c ul a ti o n m oclcl s ( GCi\l s) indica te th at th e Arcti c sea -icc cm 'C r m ay exe rt a s tr ong influen ce on global clim ate a nd m ay also be a sens itive indi ca tor of c lim ate change . Beca use of thi s, a kn owled ge of th e h ea t and mass balance of the Arcti c ice p ac k is cr iti ca l in asscss- ing potential imp ac ts du e to clim ate change . Th e ice -a lb edo fee db ac k mechanism is of pa rti c ul a r imp o rt ancc , sin ce th e positi\ 'C fe edb ac k betwee n ice condition s and a lb edo ma y help to a mp lif y small changes in clim atic forcing ( Ingram a nd oth ers, 1989; Manabe a nd o th er s, 1 99 1; Rind a nd o th ers, 1 995 ) .1() exa min e th e int erac tion of solar ra di ation \l'ith th e ice co \'el' on a large sca le, inf o rm a ti o n is n ee ded r ega rdin g th e relat i\ 'C ar eas o fdiffer elll ice types as we ll as th e o pti ca l properti es of th e ice types. S ea-i ce s urf ace co ndition s und er go lar ge changes durin g th e seaso nal tr ansition from s prin g to s umm e r. Durin g m os t orth e yea r ther e is a homo ge n eo us, highly re fl ec ti\ 'C , sno\\'- co vered with little op en \\'ater pr esc nt. On ce m e lt b eg in s, thi s hom oge ne ou s s urfa ce tr ansfo rm s int o a \'ari e- ga ted s urf ace co mpri sin g meltin g snow, bare ice, melt pond s a nd leacl s, Att e nd a nt with thi s tr ansfo rm ation is a signifi- ca nt d ecrease in th e ar ea ll y a\'er aged , w mT leng th-int e- grated albedo rrom a ppro x im ately 0.8 to 0. 5. i\Ielt po nd s a re a criti ca l c lem ent in th e h eat balan ce of the s ummer sea -i ce e O\ "(' r ( Eb crt a nd Curr y, 1993; ;"Ioritz a nd o th ers, 1 993 ; Ebcrt a nd o ther s, 1 995 ). \\ ' <l\ 'C lcn g th- inte grated a lb ed os fo r l11elt po nd s range fro l11 0.2 to (Gr enfcll a nel 19 77; Gr e nfell and Pe rO\ 'ieh, 19 8,),), anelth ey ca n abso rb as much a s fo ur tim es more solar radi- atio nthan bare ic c or snow-c o\ Tr cd ice. As me lt po nd s fo rm , th e albedo de Cl Tascs a nel th e amo unt of en ergy abso rb ed in th e ice increascs, thereb y acce ler a tin g me ltin g a nd prO\' id- lIl g a potential pos iti\ T fee db ac k l11 echanism. Field obse r- \'ations indi ca te that bo th th e a lb edo of melt po nd s, a nd the fr act ional ar ea cO\'C ]" ed by them, ca n \" ary O\ 'C r a wide range a nd arc co ntinu a ll y changing d urin g th e melt seaso n. R ece nt s tudi cs a nd Le Dr cw, 1995; D erksen and o th er s, 1 996 h a\"(' ex a min ed the ph ys ica l char ac teristics a nd th e albedo o fmclt pond s on firs t- yea r ice. ]\fore inf o rm a ti o n is needed r ega rdin g th e di s tributi on or th e solar radiation deposited in a melt po nd among rc il ection, abso rpti on in th e pond, absorption in th e und erlying ice a nd transmi ss io n to th e ocea n. Si g nifi ca nt amo unt s or solar ra di ation arc input to th e ocea n thr ough leads. An open lea d abso rbs O\"(:' r 9 0 '10 o f the incident solar ra di a ti on. Her e, too, th ere is th e potential f c) r positi\"(' f;: e db ac k. \\' ith solar ra di ation deposited in leads ca using lat cTa l m el tin g, thereby in creas ing th e si ze of th e leads a nel co nse qu ently th e input solar ra di a ti on to th e r eg io n. Th e di sposition of thi s ener gy among lateral l11 elt- in g, b o tt o ml11 c ltin g, a nd wa rmin g o fth c water is a key iss ue. Earlier th eo re ti cal s tudi es or s umm er leads (ZubO\ ', 19-L\ Langleben, 1972) ass um ed th at a ll of th e sol a r e ner gy depos- it ed in a lead CO lllribut ed to th e la ter al me ltin g of th e icc. :-'lore r ece nt work ( Pero\ 'ich, 1983; I\l ay kut an d Per m' ich, 1987; Per m' ich a nd 1 99 0; St ee le , 1992; M ay kut a nd f\I c Ph cc, 1995; Sc hr a mm a nd C urr y, 1 99 +) h as indi ca tcd th at thi s is not th e case, and th at the mag nitud e a nd the char actc r of ice d ecay arc sensiti\ ,(, to how thi s h ea t is di s- tr ibut ed among lateral melting, bottom a bl a tion , a nd storage in th c ocea n. 10 assess th e i tl1 p act of po nd s a nd leads 0 11 t hc h ea t a nd mass balance of th e ice cm'(' l', we need to und ersta nd th e ph ysica l processes of indi\ ' idu al leads and po nd s, a nd \I 'C need inf c)I" m <l ti on on th e r ela ti \T ar ea o ri el', po nd s a nd lea ds a nd on th e numb er a nd si ze of ponds and leads. In this paper the f oc us is on th e seco nd issuc, a nd \I T di scu ss res ult s from ae ri a l ph otogra phs made durin g the 1 99.). Ar ctic

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Page 1: Arctic sea-ice conditions and the distribution of solar radiation … · · 1 ""a/.I q/(;Iaciologv 25 1997 (' Internati onal Glaeiological Soeicty Arctic sea-ice conditions and the

· 1 "" a/.I q/(;Iaciologv 25 1997 (' Interna ti o na l Glaeiolog ical Soe ic ty

Arctic sea-ice conditions and the distribution of solar radiation during summer

DONALD K PEROVICH, \ VALTER B. T UC KER, III cs rJrm.y Cold Regions Research and Engineering Labomlol)', 72 ~Vll1e Road, Hanol'er, _ \ 'H 03755, C S A,

ABSTRACT U ndersta nding the inte racti o n o f sola r radi a ti on with th e ice cmu is critica l in de termining the heat a nd mass ba la nce o f the rc ti c ice pack, a nd in assess ing potenti a l impacts due to c lim a te change. Beca use o f th e impo rta nce o rthe ice-a lbedo feed­hack mccha nism , info rm a ti o n o n th e surface sta te of th e ice CO\'C'r is needed. Obse n 'a ti o ns o f the surface sta te o f sea ice were obtained from heli co pte r pho tography mi ssio ns m ade during the 199+ Arctic O cean Sec ti on cruise. Pho togra phs from o nc fli ght , ta ke n during the height of the melt season (31 July 199 c~) a t 76 :'\, 172 W, were a na lyzed in de ta il. Ba re ice cowred 82°/', o f th e tota l a rea, melt p o nds 12%, a nd open \l'a te r 6% , There was con­sidera ble va ria bility in th ese a rea fractio ns o n sca les < I km 2

, Sa mple a reas >2 3 km 2

gave representa ti\'e \ 'a lues o f ice conc entra ti o n an~ p ond fra ctio n. ~Ie lt p o nds wC're numerous, with a number densit y o f 1800 po nd s km 2. The melt po nds had a m ea n a rea of 62 m 2

, a medi a n a rea of 1+ 1112

, a nd a size di stributio n th a t was \\'C l! fit by a cUlllula ti\ 'C lognorm a l di stributi o n. \\' hil e leads m a ke up o nl y a sm a ll po rtio n o f th e to tal a rea, th ey a re th e source of\ 'irtua ll y a ll of th e sola r energy input to th e ocea n.

INTRODUCTION

R esults from ge nera l circ ul a tio n m oclcls (GCi\ls) ind icate

th a t th e Arctic sea-icc cm 'C r m ay exe rt a strong influence

o n g loba l clim a te a nd m ay a lso be a sensitive indica tor of

clima te cha nge. Because of this, a knowl edge o f th e heat

and m ass ba la nce o f the Arctic ice pack is cr iti ca l in asscss­ing po tenti a l impacts due to clim a te cha nge. The ice-a lbed o feedbac k mec ha ni sm is of p a rtic ul a r impo rta ncc, since th e

pos iti\ 'C fe edback betwee n ice conditions and a lbedo may

he lp to a mp lify sm a ll cha nges in clim a tic fo rc ing (Ingram

a nd others, 1989; M a na be a nd o th ers, 1991; Rind a nd o th ers, 1995).1() exa mine th e interac ti o n o f so la r radi a ti o n \l'ith th e ice co\ 'e l' on a la rge scale, info rm a ti o n is needed rega rding the re lat i\ 'C a reas o fdifferelll ice typ es as we ll as the o ptica l

properti es of th e ice typ es.

Sea-i ce surface conditions undergo la rge ch a nges during

the seasona l tra nsition from spring to summer. During m ost orthe yea r there is a homoge neo us, hig hl y refl ec ti\ 'C, sno\\'­covered s urf~l('e with littl e ope n \\'a ter presc nt. Once me lt begins, thi s ho mogeneous surface tra nsfo rms into a \'arie­

ga ted surface compri sing melting snow, ba re ice, melt ponds

a nd leacls, Attenda nt with this tra nsform a tio n is a sig nifi­

ca nt decrease in the a rea ll y a \ 'eraged , wmTleng th-inte­g ra ted a lbedo rro m a pproxima tely 0.8 to 0.5.

i\Ie lt po nds a re a critical clement in th e heat ba la nce o f th e summer sea -i ce eO\"(' r (Ebc rt a nd Curr y, 1993; ;"Io rit z

a nd o the rs, 1993; Ebcrt a nd o thers, 1995). \\ '<l\ 'C lcng th­

integ ra ted a lbedos fo r l11elt p o nds ra nge fro l11 0.2 to O. -~

(Grenfcll a nel ~Iaykut , 1977; Gre nfell and PerO\ 'ieh , 198,),), anelthey ca n a bso rb as much as fo ur tim es m o re so la r radi­ati o nthan ba re ic c o r snow-co\T rcd ice. As melt ponds fo rm, the a lbedo deClTascs a nel the a mo unt of energy a bsorbed in

the ice increascs, thereby acce lera ting m elting a nd prO\' id­

lIlg a po te nti a l pos iti\T feedback l11 echa ni sm . Field obse r-

\ 'a ti o ns indicate that b oth the a lbedo o f melt po nds, a nd th e fract io na l a rea cO\'C]"ed by th e m, ca n \"a r y O\'C r a wide ra nge a nd a rc continua ll y cha ng ing d uring the me lt season. R ecent studics ( ~[o rass Ulti a nd LeDrcw, 1995; D erkse n and

others, 1996 ha\"(' exa mined th e phys ica l cha rac teri stics a nd

th e a lbedo ofmclt ponds o n first-yea r ice. ]\fo re info rm a ti o n

is need ed regarding the di stributi o n o r th e so la r radi a ti on depos it ed in a melt po nd a mo ng rcil ecti o n, a bso rpti o n in the po nd , a bsorption in the underl ying ice a nd transmi ss io n to th e ocea n.

Sig nifica nt a mo unts o r so la r radia ti on a rc input to th e

ocean thro ug h lead s. An open lead a bso rbs O\"(:' r 90 '10 o f th e incident sola r radi a ti o n. H ere, too, th ere is th e p o tenti a l fc) r pos it i\"(' f;:edback. \\' ith sola r radi a ti o n deposited in leads ca using la tcTa l m el ting, thereby increas ing th e size o f th e

leads a nel co nsequentl y the input sola r radi a ti o n to th e

regio n. The di spositi on of thi s energy a mong la tera l l11elt­

ing, bottoml11 clting, a nd wa rming ofth c wa ter is a key iss ue. Ea rli er th eo re tical studies o r summer leads (ZubO\', 19-L\ La ng lebe n, 1972) ass umed th a t a ll of th e sola r e nerg y dep os­it ed in a lead CO lllributed to th e la tera l m elting o f the icc.

:-'lo re rece nt wo rk (Pero\'ich, 1983; I\l aykut and Perm' ich,

1987; Perm' ich a nd ~Ia)kut , 1990; Stee le, 1992; M aykut a nd

f\I c Phcc, 1995; Schramm a nd C urry, 199+) has indicatcd th a t thi s is not the case, a nd th a t th e magnitude a nd th e cha ractcr o f ice decay a rc se nsiti\ ,(, to how thi s heat is di s­t r ibuted a m o ng la tera l mel ting, bot to m a bla tion, a nd

storage in thc ocean.

10 assess th e i tl1 pact of po nds a nd lead s 0 11 t hc heat a nd

m ass ba la nce of the ice cm'(' l', we need to understa nd th e physica l processes o f indi\'idua l lead s a nd po nds, a nd \I 'C need infc)I"m <l ti on o n the relati \T a rea o ri el', po nds a nd lead s a nd on th e number a nd size o f po nds a nd lead s. In this

pa per the foc us is o n th e second issuc, a nd \IT di sc uss results

from ae ri a l pho tog raphs m ade during th e 199.). Arctic

Page 2: Arctic sea-ice conditions and the distribution of solar radiation … · · 1 ""a/.I q/(;Iaciologv 25 1997 (' Internati onal Glaeiological Soeicty Arctic sea-ice conditions and the

Perovich al/d Tilcker: Solar radialion al/d the. Jrctic ice pack

O ccan Sec ti on crui se. These photographs werc ana lyzed to determine the relative a reas of ice, ponds and leads; the number, shape and size di stributi on of melt pond s; and the size of the aggregate sca le for ice concentrati on a nd pond frac tion. Results from a single day arc examincd in deta il a nd compared to data from two other days. Computed esti­ma tes of the di sposition or incident so la r radiati on among refl ec ti on, abso rption and transmission a rc presented for these three cases.

EXPERIMENT AND METHODS

Thc A rctic O cean Section experiment was a two-icebreaker transect across thc Arctic Bas in im'oh'ing the CCGS Louis S. St. Lallrent and the USCGC Polar .')'ea (Aagaa rd a nd others, 1996). T he route was from the Bering Sea north to the Pole and south to Fram Stra it. During thi s cruise we made a series of measurements investigating the optica l and phys i­ca l p roperti es of the sea-ice eo\'er. The cruise duration was from 25 July to 6 September 199+, encompassing the sum mer melt season a nd the onse t of fa ll freeze-up. The [OCllS of our work was on stud ying the tempora l and spati a l \'a ri ability or ice conditions, physical prope rti es and a lbe­dos. As pa rt of this effort , ten helicopter photography fli ghts,

each roughl y 150 km long, were made to characteri ze ice­surface conditions a nd to ex tend su rface-based measure­ments to the la rge scale.

A Nikon 35 mm camera complete with Illotor dri\ 'C a nd a 250 frame roll of film was used to take 100-200 co lor photographs during each fli ght. A 50 mill lens was used , w'ith an exposure time of 1/1000 of a second a nd an aperture se tting of2.8 or 4.0, dep ending on incident li ght levels. The focus was a lways se t at infinit y. The camera was Illounted in a weather- protected box that was attac hed to the floor o f the Coas t G ua rd HH 65A heli copter. The ca mera was mounted to look \'C rticall y downwa rd, and was ori ented so that the longer side of the film was a ligned with the direction of fli ght. The standa rd fli ght path consisted of a modifi ed box pattern around the ship, with four 25 a nd two 50 km-long legs. Low, overcas t conditions and fog we're common du r ing the experi ment, limiting when fli ghts could occur and re­stricting the max imum altitude to between 400 and 700 m.

The photographs were developed a nd enla rged to 12.7 x 17.8 cm. They were thell digiti zed using a fl a tbed scanne'r a t a spati al resolution of +8 pixe ls cm I with 2-1- bit color. The use of color was critical in di stingui shing betwee n melt ponds and bare g ray ice. These digital images we re then processed on a persona l computer using sta nda rd com-

mercia l softwa re (O ptim as, 1995). Us ing the full range of color it was poss ible to pa rtition the surface in each im age into four categories: bare a nd snow-covered ice, ponded ice, frozen ponds, a nd open wa ter. O nce a n im age was pa rti­ti oned, the fracti ona l area of each surface type was ca l­cul ated to the nearest per cent. Further ana lysis was p erfo rmed to determine the number of melt ponds a nd to

compute the pond area and shape fac tor. Due to the low alti­tuck it was not poss ible to de termine the fl oc-size di stribu­ti on. H m\'C\'Cr, thc to ta l lead perimeter was computed for each image. The lead perimeter a nd the amount of open water a re significant parameters in de termining the amoun t of latera l melting (Perm' ich, 1983; l\Iaykut a nd Perm' ich, 1987; Steele, 1992).

RESULTS AND DISCUSSION

M ost of thi s paper will concentrate on a single flight made

on 31 July 1994 at 76 :\T, 1720 \ \' (T.:,ble J). This fli ght was

sclec ted fo r in-depth study since the melL season was well ach-a nced a nd the surface illuminat ion was excell ent with no log or low cloud s. 160 photog raphs we re taken from a ll a ltitude 0 [, 610 m along a 1+2 km fli ght track. Each photo­graph co\'Cred an area of +40 x 290 m, prm'iding roughl y 50°;;) cm'Crage a long the leng th of the fli ght pa th . The total

.)

a rea cO\'ered by these photographs was 20.5 km -. Sevcra l qu alitati ve obse'rvations regarding the surfacc

state or the ice, a nd mel t ponds in pa rticul a r, can be made by \' isuall y examining the im ages. The ae ri a l photog raph in Figure I provides represe nt ati\'C exa mples of some of the genera l features of melt ponds. T here were numerous melt p onds present along the entire fli ght path. Th e la rgest ponds actua ll y consisted of se\'C ra l ponds connected by small t ri­bu ta ri es. Ridges oft en had ponds associa ted with them, run­ning parall el to the ridge. l\[clt ponel s we re many d ifferent shades of blue, from a light, whitish sky-blue to a da rk blue­

g reen. A \'Cry few ponds had mclted through and appea red blac k, like the leads. T here were sO l11 e pond-like fCa tures at the edges offioes. These features a rc typicall y a resu lt ofl at­eralmelting and eros ion. Optically, they a rc simila r to melt ponds, though they d in!: r hyel rologica ll y from ponds since they a rc di rec tl y connec ted to the oeean. These edges are

class ifi ecl as ponds in our a nalysis. The relati\ 'C a reas of ice, ponds a nd leads along the fl ight

path a rc plou ed in Figure 2. ThelT is a high degree of small­sca le \'a ri abilit y e\·ident. The la rge disc rete jumps of 30 60% in lead a rea a rc assoe iated with the flight path cross ing leads that were a few hundred 111 I,vicle. Pond cove rage flu c-

Ta ble I. SUTllInaJ)' ofresullsJimnJlights 011 31 ] u(p, 13. JugllJt and 18 AlIglISt 199-1. T he image si;::e and lotal area have Il ll its of kn/. Percent areas are reportedJor ice ( A i),]rozen ponds ( A fp ), melt j)oll ds ( Ap) and leads ( AI\')' Areally CIl'e raged valllesfor the partitioning qf the ill cident solar radiation are re/Jorted in terms q/ the /Jercent riflected (n), absorbed in the ice ( A ) and deposited in the ocean ( D )

Dale t.alilur/e I.. 'JIIgilurie .lIiiludl' I IllGp,e Ji;:l' Frame.} Thl(d arpa Ai Alp A I' .-1.\\ a A D

III

31 J uly 76 02' ~ 171 H ' \\' 610 0.13 160 20.'1 82 0 12 () 59 3+ 7 13 August 8+ 06' ~ IH j8' E +60 om 2+ 1.8 76 10 3 1I 56 33 I I 18 August 880."1' N 1+7 55' E 310 0.Q3 :n D.8 86 :) 0 II 77 13 10

4-J.6

Page 3: Arctic sea-ice conditions and the distribution of solar radiation … · · 1 ""a/.I q/(;Iaciologv 25 1997 (' Internati onal Glaeiological Soeicty Arctic sea-ice conditions and the

PeTOuich and nicker: Solar radiation and Ihe Arclic ice pack

~ ,,~ .. ~ O!. - '" ,,, "" .. , , ,. "" ,

2 j ~

5

-"'-('

~f\ .... ~f'

• \ ~.~

Q

~-~-at' . " , J .... '" .

-, \ . , , -" ...... .. 1

....

3

Fig. 1. A representative aerial plzolograjJhJrom the 31 J uly 1994 jlight. T he pholograjJ/z was !aken al an allilude 0]660 III and has a horizontal scale 0]440 Ill. Some generalfeatmes qf mell ponds are iLLustrated: the lalgesl ponds were several ponds cOll/lecled ~J '

small trihutaries; ridges qften had jJollds associated with them ; pond coLor ranger/from a light, wltilish skJI-hLue la a dmk hLue ­green; Ihere were jJOl1d-Like.fealures al Ihe edges if J7oes; and a.few ponds metled Ihrough and ajJjJeared hlack, Like leads.

tu a ted from 5 to 20% , exhibiting image-to-image va ri abil­

it y even a fter adjusting for cha nges in the ice concentra ti on.

Combining results from a ll 160 images we found tha t there was 82% ice, 12% melt po nds a nd 6% leads in the 20.5 km 2

a rea studied . An understanding of the sta te of the va ri ables of the ice

cover on the aggregate scale is needed to link sm a ll-sca le

process-orient ed models to la rge-scale clima te m odcl s

(M ori tz a nd others, 1993). The aggregate scale can be thought of as th e scale a t which th e sampling va riability of

100

~ 50 ro L-

a)

> o u 25 m Q)

~

o 20 40 60 80 100 120 140

Distance (km )

Fig. 2. Ohservations if the relative areas if ice, ponds and leads measured along the 142 km -longJ7ight /Jath all 31 J uly 1994. T he jJOnd area is light grc~J), the ice area white, and the lead area black.

a pa ra meter is mini m ized (i.e. the scale la rge enough 10 giw

a representa ti ve sample ). We can use the relati, 'e a rea results

from the individu a l photographs to exa mine the aggregate scalC' for ice concentrat ion a nd pond frac ti on. Since we h ave data o n onl y one sca le, we simula te la rge r a reas by a\'er­aging results fro m adj ac-ent photog raphs. lL sho uld be noted tha t th e number of sampl es dec reases as the a rea increases. The sta ndard devia tion of ice concentra ti on a nd pond frac­

ti on as a functi on of sample a rea is plo t ted in Fig ure 3. Both ice concentrati on a nd pond frac ti on exhibit a sharp

initi a l drop-off, followed by a g radu al tapering giving a n aggregate scale dimension of roughl y 2 3 km 2

. This res ult is somewhat tenta tive since we do not have enough areal

cove rage to ex tend the cun'es in Figure 3 to confirm th a t

the sta nda rd devia ti on (std dev.) has reached a minimum value. Perfo rming th e same type of a nalysis on datasets from different locations a nd times of yea r wo uld be va luabl e to ill\'esti gatc the va ri ability of the aggregate-sca le dimen­sion, a nd to delineate between sampling variability a nd

geophysical \'a ri abilit y (M oritz a nd others, 1993).

\ Ve performed furth er analysis of the images to examine the cha rac teristics of the melt ponds a nd leads in more deta il. A subse t of 131 photographs cove ring 17 km 2 was pro­cessed to determine the number densit y, mea n area, size dis­t ribution a nd shape factor for melt ponds. For this a nalysis,

" . only po nds la rger th a n 2 m - were lllcluded ; sm aller ones

we re below our resoluti on threshold . Ponds were plentiful in this region, there being more tha n 28000. Melt-pond­number densiti es calcula ted from indi\'idual im ages showed co nsiderable vari ability. ra nging (i"om 1000 to 3500 km 2

with a mean of 1794 km 2 a nd a std de\'. of 49-1.

447

Page 4: Arctic sea-ice conditions and the distribution of solar radiation … · · 1 ""a/.I q/(;Iaciologv 25 1997 (' Internati onal Glaeiological Soeicty Arctic sea-ice conditions and the

PeroviC/z and7ilcker: Solar radiation and the Arctic ice pack

12 r----r----~--~----._--_,----,

9 \ - • :oR

\ 0 -c 0

:;:; ••• .~ \ > 6 -Ol • "0 \ "0 Ice concentration '- .-"--'\ C\l 0 "0 \

C \

\ C\l 0 -. - '0, ----. Cl)

3 0'0 '0,

'0 "0 __ 0···0

Pond fraction '0

o '--__ -'-__ --', ____ ........ __ ---1. ____ -'--__ -'

o 2 3

Area (km2)

Fig. 3. Change in the standard deviation if ice concentmtion and pondJractionfor progressive01l({lger sample areas. Data areJroll1 31 ]u0IJ994.

The size of the ponds a lso va ri ed g reatly, frorn 2 m2

ponds to ones as large as 8000 m 2. The 28 000 ponds meas·

. ') 'J ured had a mean andmcd,an pond area of63 m- andI4m-. The cumulative probability di stribution of pond area is

p lotted in Figure 4. Since a genera l desc ription of pond a rea would be useful for modeling efforts, wc appli ed data-fitting softwa re Uandel Scie11lific, 1994-) to determine a functi ona l rel a ti onship for the melt-pond size distribution. This size distribution is well fit (correlation coeffi cient = 0.999) by a two-pa rameter cumulative lognormal di stribution of the

form

£ .0 C\l

0.8

.0 0.6 o '-a. Ol

> 0.4 ~ ~

E 8 0.2

CDF(A) = ~eTfc[-(lnA - J-i )] . 2 uv'2

0.0 '--........... ..L...LLWL..-L....L-U ......... '--'--'-J....L.I..I.w....--L-........... ..u..w

1 10 100 1000 10000

Area (m2

)

Fig. 4. Cumulative melt -pond size distribution Jor > 28000 ponds takenJrom the 31 ]uly J994j)/lOtographs. The squares are t/ze observations and the curve is the two parameter lognor­mal best fit distribution.

448

where A is the area of the melt pond in (m 2). The two para­

meters, J-i and u, a re the mean and std dev. of the \·ariable In (A) and ha\·e yalues of {L = 14.7 and u = 1.73. There is ex­cell ent agreement between the observed cumulati ve di stri · bution and the lognormal fit , except for ponds smaller than .J m 2

, where the lognormal fit predicts more ponds than observed. This difference is a di rec t result of the obse r­vations not ineluding ponds sma ll er than 2 m2

As is ev ident in Figure I, the shapes of melt ponds vary considerably from round to elongated to intricate intercon­nec ted webs. \Ve explored thi s variability in shape qua ntita­ti\'e1 y by computing the circul arity of each melt pond. The circu la rity is defined as C = p2 / A, where P is the pond perimeter and A the pond a rea. The smallest possible va lue

of C is 47f, corresponding to a circle. The ya lue of C increases as the shape de\·ia tes from a cirele. For example, C is equal to 16 [or a squa re, 28 for a 5 : I rectangle and 484· for a 10 : I rec tangl e. The mean \·a lue of the circularity of a ll 28000 melt pond s was 35 and the median value was 27. These high yalues of circularity result fr0111 the elongated,

and often complex, shapes of the ponds. There was no strong dependence between the ci rcul a rity of a pond and its size, though there was a sI ight tendency for the biggest ponds to havc high \·alues of C . This is consistent with our obser­\·ati on tha t la rge melt ponds actually consi t of a connected

net works of ponds.

The a ltitude of the helicopter was too low to allow meas­urement or the [Joe-size di stribution. However, it was pos­sible to estimate thc ice a rea , lead arc a and fl oc- lead pcrimeter. Theoretical studies statc th at the dispos iti on of so la r radia tion absorbed in leads and the latera l melting of Does is dependent on the lead a rea a nd the [Joe perimeter (Perm·ich, 1983; Nlaykut and Perm·ich, 1987; Steele, 1992). T n short, the g reater the area of open water, the more so lar rad ia ti on input to the ice- ocean system, and the g reater the [Joe perimeter, the la rger the frac ti on o r that cnergy that contributes to latera l melting. Of the 20.5 km 2 area that

. .)

was analyzed (rom the 31 Jul y 1994 photographs, 19.3 km -

wa. co\·ered by ice Does and 1.2 km 2 was open water. The tota l lead- ice [Joe perimeter was 178 km.

Knowing the ice and lead area a nd the p erimcter, esti­mates of the di stribution of the so la r rad iati on incident on the leads can be obtained from the results or previous mod­eling studi es. Accord ing to the lateral-melting trea tment of M aykul and Perovich (1987), a region of ice Does and open water can be considered to have an "effective" lead width eq ua l to two timcs the lead a rea d ivided by the perimeter, or 15 m in thi s case. Their model, using meteoro logica l for­cing [or the centra l Arclic during summer, predicts la tera l­melt rates of approximately 5- 7 cm d 1 fo r thi s case. Steele (1992) deve loped an ice- ocean model that included the effect of [J oe geometry on melting by considering a n ice cO\"C r o r circul a r [J oes wi th the same initi a l diameter. In sueh a treatment, the 31 July 1994 ice cover would be equiva len t to approxi matcly 137 [Joes or ..J.22 m diameter. The Stecle (1992) model predicts for thi s case that roughly 10% of the so la r radiation deposited in leads contributes to latera l melt­ing, g iving melt rates of less th an a few cm d I. The difler­enee in pred ictcd melt ratcs emphasizes the need for field obscrvat ions oflateralmelting and lead- ice interacti ons.

To provide a context fo r the 31July 1994 obsen·ations, wc

ana lyzed photographs from Oights on 13 and 18 August 1994 (Figure 5). The same ana lysis was performed, though it was for fewer im ages and consequen tl y a sma ller a real cmTrage.

Page 5: Arctic sea-ice conditions and the distribution of solar radiation … · · 1 ""a/.I q/(;Iaciologv 25 1997 (' Internati onal Glaeiological Soeicty Arctic sea-ice conditions and the

c ill (.) I-

ill Cl..

100

IZ2Ilce 80 o Frozen ponds o Melt ponds

_ Leads

60

40

20

otLL.I..L.."-J...L.....~---I.o:....u'-'1.J.....<..L_.u...u.....<..L.I.<...-'----"""'-

7/318/138/18 7/318/138/18 7/318/13 8/18 7/318/138/18

Percent Area Refiected Absorbed in ice Absorbed in ocean

Fig. 5. Relalil'e areas qf ice and /Jartiliollillg q/ incidenl so/ar radiatiollJor 31 ]u{)', 13 August and 18 August 199-1. T lte COI/­

triblllionfro m diJJeml1 slI1Jace (o lldi liolls La Ih e disjJosil io ll qf Ihe solar radialioll is also shole'lI.

Fo r th cse t \\'0 nig hts, e \Tr y tenth pho tograph was proecssed . The res ults a rc summa ri zed in Ta ble I. Ta kcn in scquc nce,

th e th ree fli g hts m O\"Cd no nh,,'a rd to\\"a rd s th e Pole, a nd

progressed la te r in th e season fro lll summer to th e o nset o f

fa ll fiTrze- up. This tra nsiti o n is e\ ·ident in th e m elt-p o nd

res ults. Thc fi"ac ti on a l pond cO\"crage was simil a r be twecn 31July a nd 13 Aug ust, but by 13 Aug ust O H ' I" ha '" th e pond a rea h a d beg un to ["reeze. By 18 Aug ust, a t 88 N there were

n o o pe n m elt po nds. Also, by 18 A ug ust th e pho togra phs

indicate th a t th e lead s were beginning to f"reeze a nd there

\,"as a sig nificant a m o unt o f" yo ung ice prese nt. It is inte res t­

i ng to no te th a t t he sm a lles t lead ["rac ti o n (0 '1'0 ) " 'as on 31 Jul\', eyen th oug h th a t ni g ht was th e iiHthest so uth a nd th e c losest to th e p eak o f the m e lt season . This illustra tes the

spati a l \ 'a ri a bilit y present in the ice concentra ti on. The

melt ed - froze n p o nd frac tion was sig nificantl y smaller for

th e 18 Au g ust fli g ht. Wc beli eve that thi s low \ 'a lue " 'as du e,

a t leas t in pa rt , to new snO\," C" O\"e ring th a t obsc ured froz en po nds a nd m a de them diffic ult to di sting ui sh . This rea ffirm s th e obsc J"\ 'a ti o n th a t as th e surl"ace begins to freeze a nd snow

fa ll s, the surface qui ckl y becom es ho m oge neo us.

An impo rt a nt a pplicati on o f obse n 'a ti ons o f the surface

sta te o f ice cO\-cr is de lCl"mining th e pa rtiti oning o f so la r ra di a ti o n inc ident o n th e ice cO\'e r from renenio n to th e a tm ospherc, a bsorpti o n in th e icc, a nd d e pos iti on in th e

ocean. The cncrgy deposited in th e ocean includes sola r r a d­

ia ti o n a bso rbcd in lead s a nd wha t is tra nsm i t ted through the

ice. \ Vc were no t a bl e to m a ke a lbedo m eas urem ent s from the

he li co pte r, and a t present th e re is no e flec tive way to make

tra nsmi ss io n m easurements over a la rge a rea. \\'e do, ho\\,­e\Tr, ha \"(' surface-based ITleasu re lll cnts o l"i ce thickness, phy­sica l pro pcrti es a nd a lbedo, a nd ae ri a l obse rvati o ns of th e

rel a ti\ 'e a reas 01" ice, po nds a nd wa ter. This info rma ti on " 'as

combined " 'ith a t ' \"a-stream ra di a tiyc tra nsfe r m od el ( Pero­

\'ich, 1990) to es tim a te th c pa rtiti o ning o f inc ident sola r ra d­

ia ti on fo r 31 Jul y a nd 13 a nd 18 Aug ust 199 -1·. Tho ug h th e ice cO\"e r fo r th ese cases \\'as a \"a ri egated

mi x turc 01" m a ny difTerent ice ty pcs, as a first ste p we

ass ul11cdtha t it was composed o f fo ur compo nents: bare o r

sno \\'-co\"C red ice, po nded ice, froze n po nds, a nd lead s. This

ass umptio n is a simplificati o n, since, as Fig ure I indicatcs,

the rc is co nsidera ble \"ari a bility in the a lbed o a nd o pti ca l properti es l'\'C n fo r din'e re nt melt po nd s. From th e SUl"face-

Pe/"Ol'ielt ([ li d Tiu'ker: Solar radialioll alld lite . Jrctic ice /Jack

bascd m eas urem ent s " 'C d ecided to ass ume that ba re ice ha d

o ptica l properti es simil a r to \\"hite ice (Grenfcll a nd

~[aykut , 1977) a nd " 'as 2.5 m thi ck in a ll cases; po nded iee compri scd 25 Clll o fm elt\\'a te r O\'C r 223 c m o f ice; a nd 0 11 18 I\ ug ust th e re \\'as a lig ht dusting o f" S Il O \\". '10 ge t a n a rea ll y m"e raged es tim a te o f the di stributi o n 01" the so la r ra di a tio n,

th e \ 'a lues fo r th e indi\"idu a l compo ne nts " T IT ,,"e ight cd by

th eir re la ti\T a rca a nd combined. Because lea d s a nd m elt

po nds ha \T sm a ll a lbed os, sig nifica ntl y m ore e nerg y is input to th e ice ocean S\"stCIll by th e lll th a n by a simil a r-sized a rea o f" ba re ice. A s Fig ure 5 indica tes, e\T n th o ug h leads

a rc o nl y a sm a ll po rti o n o f th e tOt a l a rea ('" 10 % ). they ac­

count fo r m ost o f" the e nergy ckpos ited in the ocea n (Eberl

a nd o th ers, 1995). The presence o f" a thin, 2 c m laye r o f ne\\'

sno \\" o n 18 :\ug ust a t 88 :'\ increased th e a rea ll y a \"Craged a lbed o to 0.77, a nd r t"duccd by a f ~lct o r o f three the a bsorp­ti o n o f" so la r ra di a tio n in th e ice. This sha rp reduction in a b­

so rpti o n, co upled w ith gcnera ll y d ecreas ing \ 'alues o f"

inc ide nt so la r radia tion, bro ug ht a n a brupt end to th e

summer m elt seaso n.

SUMMARY AND FUTURE WORK

Aeri a l pho togra phs ,,"ere a na lyzed to d e te rmin e th e rela ti\"e a reas o f" icc, melt po nds a nd lead s. Res ults fi"om o ne ni ght ta ke n during 0 11 31.Jul y 199+ a t 76 :\1, 172 \,. sh owed tha t hare ice cO\"C red 82 % o f th e tot a l a rea. po nded ice 12 '%.

a nd o pe n wa ter 6 % . There was co nsiderable va ri a bi li ty in

the a rea fr ac tions of ice. po nds a ndlcad s o n scales < I km~" Selec ting sampl e a reas >2- 3 km~ a ppea red to g i\ 'e repre­

se llla ti, "C \'a lues o f ice concentra ti o n a nd po nd fractio 11 . .\lelt po nds we re ubiquit o us, " 'ilh a numbcr d ensit\· o f 1800 po nds km ~ . The melt p o nds ha d a m ea n a rea o f 62 m~, a

m cdi a n a rea o f 1+ m 2, a nd a size di stributi o n th a t ,,"as ,,"C II

lit by a c llmul a tive log norm a l di stributi o n . R es ult s from

fli g ht s o n 13 a nd 18 Aug ust showed th a t the po nds bega n to

fi"Ceze f"urther north. Further work is nccd ed to ex tend th ese res ults to la rge r

spa ti a l a nd tempo ra l sca les. The ackantage o f" a na k zing aer­

ia l pho tog ra phs is tha t th e surf"ace sta te or the ice cow r ca n

be examined in de ta il a nd acc ura tel y. The m a in di sack a n­

tage is th a t co nsidera ble en'o rt is required to sun"ey a

rel a ti\ "C ly sm a ll a rea . Idea ll y, pho tog ra ph y miss io ns sho uld be llown a t hig her a ltitudes, a llowing g rea ter a real cO\"erage" Csing th e sa me techniques a nd equipment , it ,,"o uld be pos­

sible to inc rease th e a ltitude to 3000 m , a nd co nsequently the

a real cO\"C ragc of a photog raph to 2 km 2, a nd still be abl e to

reso h-e fea tures such as m elt po nds. H owe\"C r, th e low clo ud s

a nd fog so common in th e ,\rc tic during summe r limit th e oppo rtuniti es fo r pho togra phy mi ss io ns a t hig her a ltitudes.

~ro nito ring cha ng es in th e sta te o f"th e ice cO\"e r a t a pa r­

t ic ul a r loca tio n fro l11 th e o nse t o f" melt until fa ll freeze-up

" 'o ul d be \ Try informati\"t~ (SHEBA Science Wo rking

G ro up, 199 -1-). Im"Cs ti ga ting th e tempo ra l e\"o luri o n o f m elt

po nds a nd lead s by combining a eri a l sUITeys with s urf~lCe ­

h ased obse r n lli o ns co uld g i\"C sig nifi ca nt in sig ht s illlo the

melt processes or ice cO\ 'er a nd th e ice-a lbedo fe edba ck. Aer­

ia l sun"evs co uld prO\"ide info rmati o n o n cha nges in th e a rea

f"r ac ti o n, a nd number a nd size o f"po nds a ndlca d s, ,,"hil e sur­

f~t c('-based m eas urements co uld m onito r p o nd d cpth , a b­

la ti o n a nd m orpho logy, a nd lead hea ting and la te ra l

a bl a ti o n .

H 9

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Perouich alld7ilcker: Solar radiation and Ihe Arctic ice pack

ACKNOWLEDGEMENTS

The work was funded by the Naliona l Science Foundalion, Office of Pola r Programs: Arctic System Science (OPP-9504311). The authors thank]. Mason, B. Elder and H. Bos­worth for their able assistance with the image processing.

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