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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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
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
0052.559129220752.559129220740.679985319140.6799853191023.9658085523.96580855021.693945678221.6939456782019.324551271819.3245512718025.462194211225.4621942112
0052.078393920552.078393920550.00582083650.005820836030.734927081530.7349270815035.758331445935.7583314459025.007370469825.0073704698025.355946882225.3559468822
0058.210145246258.210145246241.46906431941.469064319046.244333282646.2443332826035.044234645535.0442346455032.78966722832.789667228036.844787893436.8447878934
0062.55867590162.55867590156.991333357156.9913333571039.859245118939.8592451189033.057330140233.0573301402033.877304944633.8773049446037.034575207737.0345752077
0075.483208871275.483208871269.846048298169.8460482981046.120474970246.1204749702062.809292044262.8092920442043.729574135243.7295741352050.538419026150.5384190261
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days since hatching
average tadpole mass (mg)
total data from notebook
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707.833333333314.627280807814.6272808078725.853075396815.422370142515.4223701425708.84345238110.342542238710.3425422387722.481105169316.156680971416.1566809714
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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
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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
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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
110213313.12417805552080.0048076923
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120211243.05076631122270.0044052863
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1826892.83821922192390.0041841004
12025192.71516735782570.0038910506
220115753.19728055811980.0050505051
220118963.2778383331980.0050505051
220125083.39932753222010.0049751244
220120333.30813737862020.004950495
220119233.28397928422020.004950495
220118793.27392678012050.0048780488
28116693.22245633672070.0048309179
210112053.08098704692070.0048309179
210114123.14983469672080.0048076923
28116283.21165440062080.0048076923
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220119433.28847280062110.0047393365
210119103.28103336722110.0047393365
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22114273.15442397312340.0042735043
28111623.06520612812390.0041841004
21017692.88592633982490.0040160643
22018082.90741136082550.0039215686
22016752.82930377282640.0037878788
21018882.94841296582720.0036764706
320113693.13640344811950.0051282051
310124363.3866772842030.0049261084
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320117743.24895361552070.0048309179
38117623.24600590412070.0048309179
320121033.32283927272080.0048076923
320113073.11627558762080.0048076923
38121303.32837960342110.0047393365
320115633.1939589782130.0046948357
310120463.31090562942140.0046728972
320115343.18582535962140.0046728972
320119393.28757780912140.0046728972
38114223.15289959642170.0046082949
31112313.09025805292190.00456621
320114383.1577588862210.0045248869
32115713.1961761852270.0044052863
310113733.13767053722270.0044052863
320112323.09061070782450.0040816327
32019132.96047077752470.004048583
310116343.21325205222550.0039215686
310110983.04060234012570.0038910506
410130203.4800069431970.0050761421
410120993.32201243861970.0050761421
48126303.41995574852010.0049751244
420113423.12775251582010.0049751244
420123503.37106786232030.0049261084
410116963.22942584792040.0049019608
420118833.274850322040.0049019608
48118133.25839780412040.0049019608
420120803.3180633352050.0048780488
420118593.26927938982050.0048780488
410115153.18041263282060.0048543689
48114253.15381486432060.0048543689
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420117663.24699069922080.0048076923
44114503.16136800222080.0048076923
410122713.35621713422090.004784689
44120113.30341207062110.0047393365
420126103.41664050732110.0047393365
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48115063.17782497192160.0046296296
410112693.10346162212180.004587156
48111503.06069784042190.00456621
42113683.13608609742190.00456621
410115923.20194306342200.0045454545
420110853.03542973822250.0044444444
410112413.09377178152260.0044247788
48110653.02734960782280.0043859649
410110423.0178677192290.0043668122
42116393.21457895362310.0043290043
48111593.0640834362310.0043290043
42019532.97909290062310.0043290043
420112483.09621458532360.0042372881
44115363.18639121572380.0042016807
420110333.01410032152390.0041841004
58212583.09968064111960.0051020408
520212693.10346162212070.0048309179
58215433.18836592612080.0048076923
52029342.97034687622090.004784689
520223813.37675939542130.0046948357
520211713.06855689512170.0046082949
520211913.07591176152180.004587156
520211993.07881918312180.004587156
510210243.01029995662200.0045454545
520216113.20709554042210.0045248869
510210033.0013009332230.0044843049
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5428002.9030899872290.0043668122
5829502.97772360532310.0043290043
51029752.98900461572330.0042918455
52028802.94448267222370.0042194093
620212783.10653085381970.0050761421
610213463.12904505992010.0049751244
620216083.20628604442030.0049261084
620212573.09933527772030.0049261084
620220473.31111784272130.0046948357
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62027892.89707700322310.0043290043
62029002.95424250942620.0038167939
720210543.02284061091960.0051020408
720212403.09342168521970.0050761421
720213423.12775251582010.0049751244
710213563.13225968952050.0048780488
720214503.16136800222050.0048780488
720215083.17840134152060.0048543689
710210533.02242837122140.0046728972
72028992.95375969172160.0046296296
720212473.09586645352160.0046296296
720212473.09586645352160.0046296296
74212273.08884456272190.00456621
720210703.02938377772200.0045454545
78210553.02325245962250.0044444444
71029012.9547247912380.0042016807
7826842.83505610172690.0037174721
72025962.77524625972760.0036231884
820119583.29181268752080.0048076923
88117553.24427712082080.0048076923
810117973.25454807712110.0047393365
810116723.22323627312130.0046948357
88120883.31973049432170.0046082949
820111153.04727486742170.0046082949
820114583.1637575242170.0046082949
810114853.17172645372180.004587156
88112453.09516935142200.0045454545
820112813.10754912972210.0045248869
84112263.08849047022250.0044444444
820112093.08242630092270.0044052863
81019692.98632377712310.0043290043
820110743.03100428142310.0043290043
88116263.21112054132310.0043290043
8819152.96142109412350.0042553191
8416322.80071707832360.0042372881
820110113.00475115562360.0042372881
820111403.05690485132360.0042372881
820110393.01661554762420.0041322314
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820111573.0633333592610.0038314176
810110023.00086772152660.0037593985
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910115033.17695898062040.0049019608
910115833.19948091492170.0046082949
91019212.96425963022170.0046082949
94115653.19451434192170.0046082949
910111793.07151380512180.004587156
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91019972.99869515832570.0038910506
91017922.89872518162670.0037453184
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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
118212223.08707120592420.0041322314
1110210043.00173371282550.0039215686
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
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
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