Variation in Metamorphic Timing can be Induced by Variation in Density without Differences in Growth...

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  • Variation in Metamorphic Timing can be Induced by Variation in Density without Differences in Growth Rate in the Frog, Rana utriculariaJanel Richter1, Lincoln Martin2, and Christopher K. Beachy11Department of Biology, Minot State University, Minot, ND, 2Sawyer School, Sawyer, NDDENSITY EFFECTSEFFECTS OF FOOD REDUCTIONWilbur-Collins Predicts:Our Results:Pure DensityFood reductionyesnoyesnoLiterature cited: Beachy, C.K. 2003. Copeia; Hensley, F.A., 1994. Ecology; Scott, D. 1990. Ecology; Wilbur, H.M., Collins, J.P. 1973. Science.HUSBANDRY, PROTOCOL AND DESIGNRESULTSGrowth profiles of all six density treatments. Because the growth of 1 and 2-density treatments was slower, these treatments were excluded from subsequent analysis and discussion.Complete growth profiles of 4-, 8-, 10-, and 20-density treatments. Profile terminate at the mean mass and date at metamorphosis.SUMMARY ABOUT METAMORPHIC TIMING

    Chart1

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    days since hatching

    average tadpole mass (mg)

    metamorphic data

    blockdensityfood reduction (1= no reduction;2= food reduction)mass (mg)logmasslarval period (days)invlp

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    growth profiles

    day18day 25day32day 39day 46day 53day 60day 67day 73day 80day 87day 94day 101day 108day 115day 122day 129day 136day 143day 150day 157day 163day 170day 177day 183day 190

    1 tad41.181818181841.18181818181876.666666666776.66666666672513213232146.6666666667146.666666666739196.1666666667196.166666666746222.5222.553308.1666666667308.166666666760414.1666666667414.166666666767315.1666666667315.166666666774344.6666666667344.666666666781367.5367.588429.3333333333429.333333333395465465102545545109638.6666666667638.6666666667116672672123732732130706.3333333333706.3333333333137800.5800.5144782.1666666667782.1666666667151883.5883.5158824.5824.5165802.5802.51721116.66666666671116.666666666717998898818611891189193

    22.824627847222.82462784721849.729267036649.72926703662564.615787544564.61578754453296.28014679496.28014679439112.6328844817112.63288448174698.609837237598.609837237553109.7586746762109.758674676260125.5984341728125.59843417286774.81020429574.8102042957462.58647351262.5864735128162.806846760562.806846760588105.2932413152105.293241315295125.434125.434102233.5217334639233.5217334639109191.1174159167191.1174159167116182.0648236206182.0648236206123180.3995565405180.3995565405130201.639943133201.639943133137216.7032533212216.7032533212144261.4738355298261.4738355298151297.600235215297.600235215158397.1210143017397.1210143017165412.8504571876412.8504571876172490.2390573316490.2390573316179534.6779404464534.6779404464186687.5223632726687.5223632726193

    2 tads149.083333333375.7518218.6666666667115.833333333325264.8144.8532371201.1539443.4247.846556.9311.0553707.6394.0560785.1446.7567745.9417.874876.7490.981886.2497.3588960.7549.45951073.4580.851021141.5651.51091273.4723.751161392.9790.851231463.2826.351301674.2958.91371761.71016.951441756.7995.11511838.61032.21582029.11130.81651980.11077.751722329.33333333331280.08333333331792411.22222222221322.05555555561862840.41496.7193

    86.207422516741.438618351818158.220406299972.443185680325178.249388342476.672481663532190.080684622871.880707502939190.019414212858.352473050546237.939978425968.066327945653336.5109210709113.830880891160314.6106765159100.018956536667322.91638064598.50781130974381.1561505618114.6554742681384.7417026757116.134512527588363.456569314486.680912290795450.580169214171.6032326165102433.9921274248105.0431128421109503.2887839005127.3024068028116554.1669323308140.9154691453123613.5144297859173.220163376130624.738309659143.648838801137668.0415905216197.417978749144772.4784139379241.9467113046151849.8767492342283.10061030591581088.0961405644417.55639672321651142.4092913176462.20715954361721447.1845309658574.57970871471791149.2085078194489.20825348491861485.1046427777618.2111896432193

    4 tads308.166666666785.062518526.0833333333147.104166666725761.3636363636211.416666666732895.5454545455242.6287878788391103.9090909091303.0984848485461261.8181818182366.6060606061531404.0909090909397.0681818182601668473.3106060606671574.2727272727446.5984848485741793508.9772727273811936.8181818182548.1590909091882088.0909090909592.6666666667952315654.66666666671022507.7272727273707.83333333331092701.8181818182765.59848484851163049.9090909091865.77272727271233299.6363636364935.51303501.1818181818990.84090909091373669.45454545461040.52272727271443723.18181818181055.95454545461513777.45454545461069.40909090911584101.27272727271160.5530303031654140.45454545461171.67424242421724761.16666666671311.97222222221794448.72727272731250.15909090911865263.66666666671477.0555555556193

    134.570585286128.427964185418228.110203961839.397227973225164.344317046440.146934987532282.326181441448.171991684339245.390079076331.337118968646165.702636178178.521423924653284.191292810138.301450838960350.088274582373.229491733867304.98560323742.91564429574353.915809197652.334528793581385.960572644944.720993928888393.944527705554.86706156295491.302961521762.6223801847102522.771286684550.6689007183109576.78519713784.6931538144116594.628868210383.0175608172123697.7997238072106.4657874103130883.0741552307160.1903704908137824.0358443219138.0724250917144891.3290995117159.76132529681511012.1939896716191.8199005381581154.5737820433223.19390633091651184.0344052126232.97557530111721964.52135816339.0447924631791549.4812739049308.15119497521862067.6060230776347.1658371996193

    8 tads62894.2415674603181037.9166666667157.5024801587251323.9166666667203.1380952381321632.75245.5720238095392071312.2319444444462230.0833333333336.3506944444532595.1666666667399.7546296296603021.5454.8225198413672986.5454.0612103175743400.4166666667517.1889880952813481.0833333333538.6340277778883849.0833333333593.7594246032954232.1666666667651.681251024711.25725.85307539681095082786.12549603171165622.3333333333868.01438492061235927.25931.64732142861306427.91666666671013.28531746031376950.16666666671091.89960317461446648.66666666671074.43214285711516841.251119.0522817461587486.33333333331221.44414682541657836.16666666671270.27638888891729157.85714285711477.36428571431797719.08333333331277.01269841271869736.85714285711565.2880952381193

    152.581423866413.139500034518256.772080871622.593048605825381.742049588839.767251260732390.629125432831.701931859739492.092748094649.224345960846480.977122558137.715242788853977.890385503750.458644312260861.072956469854.765391069867738.752572676650.261501165474806.013022490545.725031582681828.20522910457.720071878988927.149635695253.799819992951076.967445556261.64505949521021154.685799451353.42309017381091163.565757801167.50298981461161325.886895857375.14782782941231546.0570449901123.86686012861301551.1719005808121.39322881211371734.8568100899114.51059160581442268.9356068163217.57138764121512377.1744543394204.21585433041582775.5438233167243.96480309951653106.1488822637274.08004357911723670.2019666757322.99371087051794033.8803438858480.63486544121864111.9258435503375.8711091774193

    10 tads799.916666666789.3126653439181433.0833333333161.3525132275251844.9166666667211.3415013228322207.6666666667256.957473545392580.3333333333300.5462632275463028.8333333333352.5847883598532689.5392.0657738095603870.3333333333451.1733796296673889.6666666667453.141468254744374.25509.2552579365814614.3333333333534.5514880952884966585.120271164955527.5833333333655.05922619051026019.5833333333708.8434523811096501.75763.80155423281167259856.75410052911237883933.19332010581308608.41666666671016.20162037041378803.41666666671038.55132275131448445.16666666671055.69275793651518568.83333333331090.14315476191589248.751187.5894841271659408.58333333331227.774305555617211564.42857142861382.580839002317910241.66666666671363.826785714318612321.14285714291481.7740929705193

    241.938556562421.983973788718370.113608684331.494413789525368.16707134736.431967100532440.195273472933.577156059539485.974809173837.161914191546624.825187673750.8095080126531267.626091988832.044123520260594.764175318625.477187765967617.30504222132.133690728274746.823591802549.069867539681897.878340952442.287911710988846.479554604654.192620117951006.289896630543.9664249067102975.630561444435.8265663151091194.464058213456.98937163761161162.134321762466.94024560551231192.584816880886.62553130731301517.6232888862113.58340727771371625.2341066798117.35098432811442467.0268021293151.47924480431513068.1376001303166.7445276891583273.020598913194.52603509081653511.3777782396228.08381574531723714.0724215315288.73448771961794298.541218374318.77605650321864760.4978531162392.0119439282193

    20 tads1692.2597.3591610767182688.8333333333156.4492750975253579.3333333333212.1288714024324439.6666666667258.0840682691395299.4166666667307.5770697168465964.5833333333347.3565495643536824.5833333333398.8555964052607817.9166666667458.480004085677851.4166666667456.6126565904749009.5833333333524.6908156318819202.1666666667538.8970899983889861.5833333333576.63688152169511001.5644.530727195810212301.1818181818722.481105169310913633.5833333333799.06378819811614772.75864.105110150812320640.33333333331192.148921783613017615.27272727271042.255796744513718578.45454545451099.003319573414418347.54545454551113.781399130615118493.27272727271123.254142821415819906.18181818181220.737473418416520507.09090909091280.6821675959172256851462.202483098517922405.90909090911409.574915474118627870.42857142861610.0670067892193

    324.220779155812.8224538918464.166865241220.70385726625819.887612401741.629376179432863.95152782115.47878546391211.127307949331.4433235253461334.065519607739.8182847877531273.863519044131.0974463458601431.0879179143.1369888307671672.634365214643.8534948264741860.378771713649.7716712233811801.58101441939.2187882776882014.822728874244.8204858426952103.499313913945.64260617171022363.313513615255.9667428851092640.273520897364.58350813691163086.334310678788.201040747712316335.1174875889878.33567303131304200.5360631926127.63034526281374431.8640404154128.28776851951445992.053193416175.06508350631516247.7642095538189.83418367481586753.3335889497208.75186658891656801.6782848727215.77240563341725913.4095072132237.30219982111798583.7520054408320.34869879351867641.6672451576321.5579566001193

    larval period1 tadsdse2 tadssd2se24 tadssd4se48 tadssd8se810 tadssd10se1020 tadssd20se20

    4 tads230.944444444451841.181818181822.82462784726.589095798875.7541.438618351811.962649639785.062528.42796418548.206687120594.241567460313.13950003453.793158208689.312665343921.98397378876.346412756697.359161076712.822453893.7016321853

    21.13951477612576.666666666749.729267036614.3560239713115.833333333372.443185680320.9131598384147.104166666739.397227973211.3733337105157.502480158722.59304860586.5222426691161.352513227531.49441378959.0919208399156.449275097520.7038572665.9768641068

    3213264.615787544518.6535183443144.8576.672481663522.13408824211.416666666740.146934987511.5897618324203.138095238139.767251260711.4801533662211.341501322836.431967100510.5173115186212.128871402441.629376179412.0177182966

    8 tads223.1538461538339146.666666666796.28014679427.7944996518201.1571.880707502920.7507816117242.628787878848.171991684313.9064641121245.572023809531.70193185979.1518279041256.95747354533.57715605959.6931743821258.084068269115.478785464.4684715531

    19.025659213346196.1666666667112.632884481732.5152668827247.858.352473050516.8454021508303.098484848531.33711896869.0465124043312.231944444449.224345960814.210261536300.546263227537.161914191510.7280352747307.577069716831.44332352539.0771719184

    53222.598.609837237528.4670430824311.0568.066327945619.6496327788366.606060606178.521423924622.6678475533336.350694444437.715242788810.8877721677352.584788359850.809508012614.6678718281347.356549564339.818284787711.4948859087

    10 tads225.01886792452.860308.1666666667109.758674676231.6855296409394.05113.830880891132.8611088023397.068181818238.301450838911.0570008195399.754629629650.458644312214.566583231392.065773809532.04412352029.2506130255398.855596405231.09744634588.9773228481

    20.461493446967414.1666666667125.598434172836.2582084795446.75100.018956536628.8738327184473.310606060673.229491733821.1401535028454.822519841354.765391069815.8098704012451.173379629625.47718776597.3548463527458.48000408543.136988830712.4529413484

    74315.166666666774.81020429521.5964793417.898.50781130928.4375898698446.598484848542.91564429512.3890428103454.061210317550.261501165414.5096712371453.14146825432.13369072829.2764696098456.612656590443.853494826412.6597848806

    20 tads219.4949494951.881344.666666666762.58647351218.0676886582490.9114.6554742633.0991553868508.977272727352.334528793515.1081203215517.188988095245.725031582613.2000668541509.255257936549.069867539614.1656661489524.690815631849.771671223314.3682653647

    17.447515311988367.562.806846760518.1313068015497.35116.134512527533.5261294825548.159090909144.720993928812.9102176469538.634027777857.720071878916.6628383022534.551488095242.287911710912.2078267064538.897089998339.218788277611.3218210963

    95429.3333333333105.293241315230.3964322504549.4586.680912290725.0233580516592.666666666754.86706156215.8392210052593.759424603253.79981999215.5311258637585.12027116454.19262011715.644520819576.636881521644.820485842612.938939331

    102465125.43436.21073903580.85171.603232616549.539039439654.666666666762.622380184718.0780543258651.6812561.645059495217.7959178681655.059226190543.966424906712.692385943644.530727195845.642606171713.1762719895

    109545233.521733463967.4138953418651.5105.043112842130.3242242616707.833333333350.668900718314.6272808078725.853075396853.423090173815.4223701425708.84345238135.82656631510.3425422387722.481105169355.96674288516.1566809714

    116638.6666666667191.117415916755.1724641792723.75127.302406802836.7501174373765.598484848584.693153814424.4495247732786.125496031767.502989814619.4870062975763.801554232856.989371637616.451897124799.06378819864.583508136918.6441998086

    123672182.064823620652.5591292207790.85140.915469145340.6799853191865.772727272783.017560817223.96580855868.014384920675.147827829421.6939456782856.754100529166.940245605519.3245512718864.105110150888.201040747725.4621942112

    130732180.399556540552.0783939205826.35173.22016337650.005820836935.5106.465787410330.7349270815931.6473214286123.866860128635.7583314459933.193320105886.625531307325.007370469899287.83325.3559468822

    137706.3333333333201.63994313358.2101452462958.9143.64883880141.469064319990.8409090909160.190370490846.24433328261013.2853174603121.393228812135.04423464551016.2016203704113.583407277732.7896672281042.2557967445127.630345262836.8447878934

    144800.5216.703253321262.5586759011016.95197.41797874956.99133335711040.5227272727138.072425091739.85924511891091.8996031746114.510591605833.05733014021038.5513227513117.350984328133.87730494461099.0033195734128.287768519537.0345752077

    151782.1666666667261.473835529875.4832088712995.1241.946711304669.84604829811055.9545454546159.761325296846.12047497021074.4321428571217.571387641262.80929204421055.6927579365151.479244804343.72957413521113.7813991306175.065083506350.5384190261

    158883.5297.60023521585.91230808751032.2283.100610305981.72650412991069.4090909091191.81990053855.37525997061119.052281746204.215854330458.95376857111090.1431547619166.74452768948.13641099571123.2541428214189.834183674854.8020160724

    165824.5397.1210143017114.64232514481130.8417.5563967232120.54168496631160.553030303223.193906330964.43242099621221.4441468254243.964803099570.42863830821187.589484127194.526035090856.15647664291220.7374734184208.751866588960.2632409321

    172802.5412.8504571876119.18315738671077.75462.2071595436133.43162804381171.6742424242232.975575301167.25622843561270.2763888889274.080043579179.12241442811227.7743055556228.083815745365.84405766321280.6821675959215.772405633462.2899554369

    1791116.6666666667490.2390573316141.52397728971280.0833333333574.5797087147165.87174039111311.9722222222339.04479246397.87667218911477.3642857143322.993710870593.24298812661382.5808390023288.734487719683.35291215921462.2024830985237.302199821168.5052539899

    186988534.6779404464154.35275417041322.0555555556489.2082534849141.22640112151250.1590909091308.151194975288.95819716371277.0126984127480.6348654412138.75140457311363.8267857143318.776056503292.02542046861409.5749154741320.348698793592.4794165108

    1931189687.5223632726198.47643281541496.7618.2111896432178.46743349981477.0555555556347.1658371996100.22108464191565.2880952381375.8711091774108.5078259751481.7740929705392.0119439282113.16742030261610.0670067892321.557956600192.8285094111

    growth profiles

    006.58909579886.589095798811.962649639711.962649639708.20668712058.206687120503.79315820863.793158208606.34641275666.346412756603.70163218533.7016321853

    0014.356023971314.356023971320.913159838420.9131598384011.373333710511.373333710506.52224266916.522242669109.09192083999.091920839905.97686410685.9768641068

    0018.653518344318.653518344322.1340882422.13408824011.589761832411.5897618324011.480153366211.4801533662010.517311518610.5173115186012.017718296612.0177182966

    0027.794499651827.794499651820.750781611720.7507816117013.906464112113.906464112109.15182790419.151827904109.69317438219.693174382104.46847155314.4684715531

    0032.515266882732.515266882716.845402150816.845402150809.04651240439.0465124043014.21026153614.210261536010.728035274710.728035274709.07717191849.0771719184

    0028.467043082428.467043082419.649632778819.6496327788022.667847553322.6678475533010.887772167710.8877721677014.667871828114.6678718281011.494885908711.4948859087

    0031.685529640931.685529640932.861108802332.8611088023011.057000819511.0570008195014.56658323114.56658323109.25061302559.250613025508.97732284818.9773228481

    0036.258208479536.258208479528.873832718428.8738327184021.140153502821.1401535028015.809870401215.809870401207.35484635277.3548463527012.452941348412.4529413484

    0021.596479321.596479328.437589869828.4375898698012.389042810312.3890428103014.509671237114.509671237109.27646960989.2764696098012.659784880612.6597848806

    0018.067688658218.067688658233.099155386833.0991553868015.108120321515.1081203215013.200066854113.2000668541014.165666148914.1656661489014.368265364714.3682653647

    0018.131306801518.131306801533.526129482533.5261294825012.910217646912.9102176469016.662838302216.6628383022012.207826706412.2078267064011.321821096311.3218210963

    0030.396432250430.396432250425.023358051625.0233580516015.839221005215.8392210052015.531125863715.5311258637015.64452081915.644520819012.93893933112.938939331

    0036.2107390336.2107390349.53903943949.539039439018.078054325818.0780543258017.795917868117.7959178681012.69238594312.692385943013.176271989513.1762719895

    0067.413895341867.413895341830.324224261630.3242242616014.627280807814.6272808078015.422370142515.4223701425010.342542238710.3425422387016.156680971416.1566809714

    0055.172464179255.172464179236.750117437336.7501174373024.449524773224.4495247732019.487006297519.4870062975016.45189712416.451897124018.644199808618.6441998086

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    days since hatching

    average tadpole mass (mg)

    total data from notebook

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    473.310606060621.140153502821.1401535028454.822519841315.809870401215.8098704012451.17337962967.35484635277.3548463527458.48000408512.452941348412.4529413484

    446.598484848512.389042810312.3890428103454.061210317514.509671237114.5096712371453.1414682549.27646960989.2764696098456.612656590412.659784880612.6597848806

    508.977272727315.108120321515.1081203215517.188988095213.200066854113.2000668541509.255257936514.165666148914.1656661489524.690815631814.368265364714.3682653647

    548.159090909112.910217646912.9102176469538.634027777816.662838302216.6628383022534.551488095212.207826706412.2078267064538.897089998311.321821096311.3218210963

    592.666666666715.839221005215.8392210052593.759424603215.531125863715.5311258637585.12027116415.64452081915.644520819576.636881521612.93893933112.938939331

    654.666666666718.078054325818.0780543258651.6812517.795917868117.7959178681655.059226190512.69238594312.692385943644.530727195813.176271989513.1762719895

    707.833333333314.627280807814.6272808078725.853075396815.422370142515.4223701425708.84345238110.342542238710.3425422387722.481105169316.156680971416.1566809714

    765.598484848524.449524773224.4495247732786.125496031719.487006297519.4870062975763.801554232816.45189712416.451897124799.06378819818.644199808618.6441998086

    865.772727272723.9658085523.96580855868.014384920621.693945678221.6939456782856.754100529119.324551271819.3245512718864.105110150825.462194211225.4621942112

    935.530.734927081530.7349270815931.647321428635.758331445935.7583314459933.193320105825.007370469825.007370469899225.355946882225.3559468822

    990.840909090946.244333282646.24433328261013.285317460335.044234645535.04423464551016.201620370432.78966722832.7896672281042.255796744536.844787893436.8447878934

    1040.522727272739.859245118939.85924511891091.899603174633.057330140233.05733014021038.551322751333.877304944633.87730494461099.003319573437.034575207737.0345752077

    1055.954545454646.120474970246.12047497021074.432142857162.809292044262.80929204421055.692757936543.729574135243.72957413521113.781399130650.538419026150.5384190261

    1069.409090909155.375259970655.37525997061119.05228174658.953768571158.95376857111090.143154761948.136410995748.13641099571123.254142821454.802016072454.8020160724

    1160.55303030364.432420996264.43242099621221.444146825470.428638308270.42863830821187.58948412756.156476642956.15647664291220.737473418460.263240932160.2632409321

    1171.674242424267.256228435667.25622843561270.276388888979.122414428179.12241442811227.774305555665.844057663265.84405766321280.682167595962.289955436962.2899554369

    1311.972222222297.876672189197.87667218911477.364285714393.242988126693.24298812661382.580839002383.352912159283.35291215921462.202483098568.505253989968.5052539899

    1250.159090909188.958197163788.95819716371277.0126984127138.7514045731138.75140457311363.826785714392.025420468692.02542046861409.574915474192.479416510892.4794165108

    1477.0555555556100.2210846419100.22108464191565.2880952381108.507825975108.5078259751481.7740929705113.1674203026113.16742030261610.067006789292.828509411192.8285094111

    1235.6111111111101.7101.71427.102564102686.286.21346.490566037766661439.7676767677535355332.82.81.81.8

    days since hatching

    average tadpole mass (mg)

    metamorphic data

    blockdensityfood reduction (1= no reduction;2= food reduction)mass (mg)logmasslarval period (days)invlp

    120214033.1470576712010.0049751244

    18212363.09201847082070.0048309179

    120212463.09551804232080.0048076923

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    120211243.05076631122270.0044052863

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    12028732.94101424372360.0042372881

    1826892.83821922192390.0041841004

    12025192.71516735782570.0038910506

    220115753.19728055811980.0050505051

    220118963.2778383331980.0050505051

    220125083.39932753222010.0049751244

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    410130203.4800069431970.0050761421

    410120993.32201243861970.0050761421

    48126303.41995574852010.0049751244

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    410115153.18041263282060.0048543689

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    620212783.10653085381970.0050761421

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    620220473.31111784272130.0046948357

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    62027892.89707700322310.0043290043

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    720215083.17840134152060.0048543689

    710210533.02242837122140.0046728972

    72028992.95375969172160.0046296296

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    74212273.08884456272190.00456621

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    78210553.02325245962250.0044444444

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    7826842.83505610172690.0037174721

    72025962.77524625972760.0036231884

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    91017102.85125834872440.0040983607

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    1010111263.05153839052100.0047619048

    108111643.06595298032200.0045454545

    1021100032230.0044843049

    1010110613.02571538392230.0044843049

    104110963.03981055412350.0042553191

    11828632.93601079572200.0045454545

    11828012.90363251612230.0044843049

    112026752.82930377282290.0043668122

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    112028222.91487181752610.0038314176

    11426682.82477646252690.0037174721

    111026372.80413943232740.003649635

    11428182.91275330372760.0036231884

    128213113.11760269171990.0050251256

    1210212803.10720996962060.0048543689

    12429442.97497199432440.0040983607

    12828872.94792361982550.0039215686

    121029252.96614173272570.0038910506

    growth profiles

    day18day 25day32day 39day 46day 53day 60day 67day 73day 80day 87day 94day 101day 108day 115day 122day 129day 136day 143day 150day 157day 163day 170day 177day 183day 190

    1 tad41.181818181841.18181818181876.666666666776.66666666672513213232146.6666666667146.666666666739196.1666666667196.166666666746222.5222.553308.1666666667308.166666666760414.1666666667414.166666666767315.1666666667315.166666666774344.6666666667344.666666666781367.5367.588429.3333333333429.333333333395465465102545545109638.6666666667638.6666666667116672672123732732130706.3333333333706.3333333333137800.5800.5144782.1666666667782.1666666667151883.5883.5158824.5824.5165802.5802.51721116.66666666671116.666666666717998898818611891189193

    22.824627847222.82462784721849.729267036649.72926703662564.615787544564.61578754453296.28014679496.28014679439112.6328844817112.63288448174698.609837237598.609837237553109.7586746762109.758674676260125.5984341728125.59843417286774.81020429574.8102042957462.58647351262.5864735128162.806846760562.806846760588105.2932413152105.293241315295125.434125.434102233.5217334639233.5217334639109191.1174159167191.1174159167116182.0648236206182.0648236206123180.3995565405180.3995565405130201.639943133201.639943133137216.7032533212216.7032533212144261.4738355298261.4738355298151297.600235215297.600235215158397.1210143017397.1210143017165412.8504571876412.8504571876172490.2390573316490.2390573316179534.6779404464534.6779404464186687.5223632726687.5223632726193

    2 tads149.083333333375.7518218.6666666667115.833333333325264.8144.8532371201.1539443.4247.846556.9311.0553707.6394.0560785.1446.7567745.9417.874876.7490.981886.2497.3588960.7549.45951073.4580.851021141.5651.51091273.4723.751161392.9790.851231463.2826.351301674.2958.91371761.71016.951441756.7995.11511838.61032.21582029.11130.81651980.11077.751722329.33333333331280.08333333331792411.22222222221322.05555555561862840.41496.7193

    86.207422516741.438618351818158.220406299972.443185680325178.249388342476.672481663532190.080684622871.880707502939190.019414212858.352473050546237.939978425968.066327945653336.5109210709113.830880891160314.6106765159100.018956536667322.91638064598.50781130974381.1561505618114.6554742681384.7417026757116.134512527588363.456569314486.680912290795450.580169214171.6032326165102433.9921274248105.0431128421109503.2887839005127.3024068028116554.1669323308140.9154691453123613.5144297859173.220163376130624.738309659143.648838801137668.0415905216197.417978749144772.4784139379241.9467113046151849.8767492342283.10061030591581088.0961405644417.55639672321651142.4092913176462.20715954361721447.1845309658574.57970871471791149.2085078194489.20825348491861485.1046427777618.2111896432193

    4 tads308.166666666785.062518526.0833333333147.104166666725761.3636363636211.416666666732895.5454545455242.6287878788391103.9090909091303.0984848485461261.8181818182366.6060606061531404.0909090909397.0681818182601668473.3106060606671574.2727272727446.5984848485741793508.9772727273811936.8181818182548.1590909091882088.0909090909592.6666666667952315654.66666666671022507.7272727273707.83333333331092701.8181818182765.59848484851163049.9090909091865.77272727271233299.6363636364935.51303501.1818181818990.84090909091373669.45454545461040.52272727271443723.18181818181055.95454545461513777.45454545461069.40909090911584101.27272727271160.5530303031654140.45454545461171.67424242421724761.16666666671311.97222222221794448.72727272731250.15909090911865263.66666666671477.0555555556193

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