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USEPA Risk Assessment Paradigm
Risk Identification:
Qualitative evaluation of the potential for a substance to cause an adverse effect.
Types of Data used in Developing Exposure & Toxicity Profiles
Laboratory dataField ObservationsModel outputQSARs
Common Difficulties/Sources of Uncertainty with the Use of Data
Distribution of ConcentrationsVariability of Effects Concentration,EC50
What is an Exposure Profile?
Range of concentrations/doses associated with the stressor in time and placeMagnitude in uncertainty due to sampling and/or measurements errorIdentify the variability in concentrations and their causes
What is an Ecological Effects Profile
Relationship between stressor level and ecological effect (Dose-Response Relationship) as a function of time and spaceEcological effects can include: single species, populations, multiple species, general trophic levels, communities, ecosystems, landscapes
Ecological Effects Profile : Single Species
Risk Estimation for Single SpeciesOne Dose Response Curve One Species
Distribution of ConcentrationsUncertainty of Effects Concentrations, e.g LC5
Risk Estimation for Single SpeciesCumulative distribution of EC5Comparison of 50th percentile exposure with EC5Multiple Dose Response Curves One Species
Risk Estimation for Single SpeciesCumulative distribution of EC5Comparison of 50th percentile exposure with EC5Multiple Dose Response Curves One Species
Distribution of ConcentrationsDistribution of Effects Concentrations among different organisms
Ecological Effects Profile : Multiple SpeciesRank Order Method100 x n / ( N + 1)6n = rankN = Total Number of observations (6)
Ecological Effects Profile : Multiple SpeciesStatistical Distribution Method
Sheet4
Column1
Mean38.9833333333
Standard Error15.2824608984
Median26
Mode
Standard Deviation37.4342312151
Sample Variance1401.3216666667
Kurtosis-0.3110762239
Skewness0.9551100993
Range94.1
Minimum5.9
Maximum100
Sum233.9
Count6
Sheet5
PointColumn1RankPercent
61001100.00%
565280.00%
440360.00%
312440.00%
211520.00%
15.96.00%
Sheet6
PointColumn1RankPercent
621100.00%
51.8129133566280.00%
41.6020599913360.00%
31.079181246440.00%
21.0413926852520.00%
10.77085201166.00%
Sheet1
EC50%
5.9140.77085201162.665
11291.0413926852220.595
12431.0791812462450
40571.6020599913
65711.8129133566
100862
1.384399881824.2325926458
0.4893294531
0.9590857281
2.3434856099220.539106092
0.42531415372.662650433
EC50log EC50
5.90.7708520116
111.0413926852
121.079181246
401.6020599913
651.8129133566
1002
Mean38.981.3824.2350%
std37.430.493.09
1.96*std73.370.969.10
Mean+1.96*std112.352.34220.5495%
Mean-1.96*std-34.390.432.665%
Sheet1
%
EC50 (umol/L)
%
Ecological Risk Profile
Sheet2
14
29
43
57
71
86
%
EC50 (umol/L)
%
Ecological Risk Profile
Sheet3
Risk estimation involving multiple species
Risk estimation involving multiple species
Risk Characterization
Develop an estimate of the risk posed to ecological entities included in the assessment end-points identified in the problem formulationDescribe the risk estimate in the context of the significance of any adverse effects and the strength of evidence supporting itQualify the risk estimates by summarizing uncertainties and assumptions.
Strengths:
Estimates likelihood that a certain percentage of species may be adversely affected.
But:consider whether the subset of species for which toxicity test are available represent the range of species present in the environmentconsider whether particular sensitive groups of organisms are includedIf a criterion is selected, often protect 95% of the species, consider whether the 5% potentially affected organisms are of ecological, commercial or recreational significance
Mixtures of Chemicals
PCBsChlorinated dibenzo-p-dioxinsChlorinated dibenzo-furansChlorinated diphenyl ethersPolychlorinated naphthalenesPBBsPolybrominated diphenyl ethers
Body weight lossthymus atrophyimpairment of immune response hepatotoxicityearly life stage mortalitydelayed responsedisruption of the endocrine systemchanges in vitamin A levels
Toxic Responses
neurotoxicityteratogenicitycarcinogenicity
Structure-Activity Relationship for dioxin- like compounds10 A4 APlanarityelectronegative substituents groups in the corners
Compounds
Toxic Equivalency
Factor
PCBs
3,3',4,4'-tetra- (#77)
0.00016
3,4,4',5-tetra- (#81)
0.00056
3,3',4,4',5-penta- (#126)
0.005
PCDDs
2,3,7,8-tetra-
1.0
1,2,3,7,8-penta-
0.730
1,2,3,4,7,8-hexa-
0.319
1,2,3,6,7,8-hexa-
0.024
PCDFs
2,3,7,8-tetra-
0.028
1,2,3,7,8-penta-
0.034
2,3,4,7,8-penta-
0.359
1,2,3,4,7,8-hexa-
0.280
Additivity
ChemicalConcentration (ng/kg)TEFTEQ(ng/kg)
2,3,7,8-TCDD101103,3,4,4,5-PCB10000.005 52,3,7,8-TCDF1000.0282.8
Mixture111017.8
A Probabilistic Risk Assessment of the Reproductive Effects of Polychlorinated Biphenyls, Dibenzo-p-dioxins and Dibenzofurans in Lake Ontario Lake Trout Stocks
Frank A.P.C. Gobas1, *Cherie M. Gelowitz1, Philip M. Cook2, Susan Y. Huestis3, Mark R. Servos4
Figure 3.1: Predicted and observed concentrations of 3,3',4,4',5-pentachlorobiphenyl (# 126) in the sediments of Lake Ontario as a function of time.
_1015412550.xls
Sheet: 126
Sheet: fitting
Sheet: n
Sheet: o
Sheet: 1
Sheet: 2
Sheet: Sheet7
Sheet: Sheet8
Sheet: Sheet9
Sheet: Sheet10
p126
Year
Water-Total
Water-Diss
SedimentSol
Phytoplankton
Zooplankton
Diporeia
Alewife-0
Alewife-1
Alewife-2
Alewife-3
Alewife-4
Alewife-5
Alewife-6
Alewife-7
Alewife-8
Sculpin-0
Sculpin-1
Sculpin-2
Sculpin-3
Sculpin-4
Sculpin-5
Smelt-0
Smelt-1
Smelt-2
Smelt-3
Smelt-4
Smelt-5
Trout-0
Trout-1
Trout-2
Trout-3
Trout-4
Trout-5
Trout-6
Trout-7
Lake Trout-8
1927.0
1928.0
4.77106887963275E-13
2.34451002117444E-13
2.78894782235987E-8
9.09959571921865E-9
5.45975743153119E-8
3.09883091373319E-8
1.27394340069061E-7
4.50132011066503E-8
2.60637298954962E-7
3.70986477881391E-7
4.49411836024125E-7
4.76944174575114E-7
4.82315231508304E-7
4.93526300373332E-7
4.67848555689814E-7
1.15746857548461E-7
4.25819241066055E-8
1.61958877738508E-7
1.92779402425683E-7
2.13316535565852E-7
2.19184444931544E-7
8.86300623051897E-8
4.87476754353777E-8
2.36864525416E-7
3.80672066717323E-7
4.15453922489604E-7
4.35620082100136E-7
3.91282615926402E-8
4.82757223408144E-8
4.52606956322028E-7
7.408240337695E-7
9.54910606544187E-7
1.26410706857719E-6
1.50535221726834E-6
1.75215936180669E-6
2.06110108527634E-6
4.88751425239383E-13
2.4017314426725E-13
3.23020331797585E-8
9.32168553645497E-9
5.59301132187298E-8
3.58911479775094E-8
1.3050359751037E-7
4.63459751096416E-8
2.68826746496592E-7
3.82339660844374E-7
4.64033006609338E-7
4.93734964882467E-7
5.00765438434728E-7
5.14135187800074E-7
4.88959004567855E-7
1.18571840023707E-7
4.7762725770059E-8
1.8307943340865E-7
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4.56761357523352E-9
1.37805306730108E-8
1.95428855228688E-7
2.74049839866695E-7
3.19170136523778E-7
3.92763854554018E-7
4.54240532377092E-7
4.59148242862866E-7
5.05631843079017E-7
4.92300671959332E-14
2.41917249144475E-14
2.28332490496156E-8
9.38937835555717E-10
5.6336270133343E-9
2.53702767217951E-8
1.314512969778E-8
5.87556208863203E-9
3.50708782608379E-8
4.57006003651972E-8
5.56905760423861E-8
6.01040275813425E-8
6.16885102609519E-8
6.4071089290551E-8
6.21090663001258E-8
1.19432892682687E-8
2.65342140892502E-8
1.08358816751494E-7
1.15934061169325E-7
1.32466193089791E-7
1.43498144436048E-7
9.14525451831269E-9
1.05724775606608E-8
5.1697003857195E-8
7.27668059043384E-8
7.96059498456028E-8
8.5593227651236E-8
4.03743269288958E-9
1.21809792209475E-8
1.7274481123527E-7
2.42239956613209E-7
2.82122929012898E-7
3.47174264419511E-7
4.01514984854272E-7
4.05852783692585E-7
4.46940459910665E-7
4.3515760323074E-14
2.13837064042398E-14
2.01829276098047E-8
8.29952021956281E-10
4.97971213173769E-9
2.24254751220052E-8
1.16193283073879E-8
5.19356573398838E-9
3.1000078751817E-8
4.03959620510914E-8
4.92263548947573E-8
5.31275106033561E-8
5.45280672084023E-8
5.66340812910965E-8
5.48997876521999E-8
1.05569897192839E-8
2.34543101450615E-8
9.57812919710443E-8
1.02477253414082E-7
1.17090452057883E-7
1.26841892571006E-7
8.08373269385418E-9
9.3452967552002E-9
4.56963668925162E-8
6.43205213275336E-8
7.03658193006939E-8
7.56581291547996E-8
3.56879369441201E-9
1.07670947144534E-8
1.52693791273807E-7
2.14122394945642E-7
2.49375993458911E-7
3.06876556257827E-7
3.54909698821534E-7
3.58743865199028E-7
3.95062153097781E-7
3.84647436375339E-14
1.89016296337867E-14
1.78402362676271E-8
7.33616775140518E-10
4.40170065084311E-9
1.98224847418079E-8
1.02706348519673E-8
4.59073196191776E-9
2.74017984734745E-8
3.57070659928223E-8
4.351248055025E-8
4.69608107781068E-8
4.81987953265895E-8
5.00603520801029E-8
4.85273587401931E-8
9.33160537978738E-9
2.07318994947E-8
8.46636763857401E-8
9.05824168238469E-8
1.03499418437015E-7
1.12118980652185E-7
7.14542738986864E-9
8.26055951665896E-9
4.03922481504286E-8
5.68546352126113E-8
6.21982344071182E-8
6.68762467323985E-8
3.15455213310423E-9
9.51732511064374E-9
1.34970162508478E-7
1.8926854921738E-7
2.20430138535188E-7
2.71256404892203E-7
3.13714153293874E-7
3.1710321011691E-7
3.49205815511004E-7
3.40000203171566E-14
1.67076582553644E-14
1.57694677482066E-8
6.48463577317208E-10
3.89078146390325E-9
1.75216308313407E-8
9.07849008244092E-9
4.05787151924252E-9
2.42211860180896E-8
3.15624326516853E-8
3.84618454018469E-8
4.1509914313981E-8
4.26041996505039E-8
4.42496769499361E-8
4.28946204996241E-8
8.24845670347489E-9
1.83254869527362E-8
7.48365146083272E-8
8.00682488817647E-8
9.14859360544402E-8
9.91050003544495E-8
6.31603524306961E-9
7.30173147090899E-9
3.57037974463539E-8
5.02553432427619E-8
5.49786934975539E-8
5.91137133613501E-8
2.788393382464E-9
8.41262053583225E-9
1.19303772731324E-7
1.67299576616926E-7
1.94844138241968E-7
2.39770831516681E-7
2.77300360771269E-7
2.80296006054492E-7
3.08672310799665E-7
3.00535341367634E-14
1.47683493432972E-14
1.39390592987061E-8
5.73194429754984E-10
3.4391665785299E-9
1.5487843665229E-8
8.02472201656977E-9
3.58686208263655E-9
2.14097590756546E-8
2.78988835475057E-8
3.39974589308244E-8
3.66917277476682E-8
3.7658994794534E-8
3.91134751365714E-8
3.79157029838604E-8
7.29103314648339E-9
1.61983937461215E-8
6.61500201563407E-8
7.07744913529424E-8
8.08668939312164E-8
8.76015910229264E-8
5.58291374581354E-9
6.45419769942231E-9
3.15595507321044E-8
4.44220539628241E-8
4.85971502066982E-8
5.2252205225645E-8
2.46473604794643E-9
7.43614257554283E-9
1.05455829604204E-7
1.47880614506362E-7
1.72227992533453E-7
2.11939902724447E-7
2.45113257190454E-7
2.47761172012229E-7
2.72843726748953E-7
p126
pg/g to g/kg
1.0E-9
sediment
lake trout -4 years
lake trout-5years
year
observed
observed
predicted
ss of squares
predicted
year
observed
Observed
predicted
s of squares
predicted
year
observed
Observed
predicted
s of squares
predicted
sed.conc.
sed. conc.
sed. conc.
sed conc.
4-yr Lake
4-yr Lake
4-yr Lake
4-yr lake
5-yr Lake
5-yr Lake
5-yr Lake
5-yr Lake
(pg/g)
(g/kg)
(g/kg)
(pg/g)
trout
trout
trout
trout
trout
trout
trout
trout
1929.0
2.78894782235987E-8
27.8894782235987
(pg/g)
(g/kg)
(g/kg)
(pg/g)
(pg/g)
(g/kg)
(g/kg)
(pg/g)
1930.0
3.23020331797585E-8
32.302033179758496
1977.0
2.64954412099498E-6
2649.54412099498
2.8393400000000003E-6
3.28594051668586E-6
1.9945202150407693E-13
3285.94051668586
3.7E-8
3.62339824723595E-8
5.8678285265246E-19
36.2339824723595
1978.0
2.32363552462406E-6
2323.63552462406
3.25406E-6
1.0163673441574016E-15
1932.0
3.97331823915252E-8
39.7331823915252
1979.0
2.04441677307364E-6
2044.4167730736397
2.88464E-6
1.610421046923382E-13
1933.0
4.28469189809863E-8
42.846918980986295
1.7559300000000002E-6
1.80222320772382E-6
2.143061081360733E-15
1802.22320772382
1978.0
2.87260383833978E-6
2872.60383833978
1934.0
4.56188597123138E-8
45.61885971231379
9.4654E-7
7.321937519805261E-13
1979.0
2.52260280518448E-6
2522.60280518448
1935.0
4.80883041990866E-8
48.0883041990866
1980.0
2017.0713999999998
2.0170713999999997E-6
4.615974572434228E-14
1980.0
2.2212550752118E-6
2221.2550752118
4.4000000000000004E-8
5.02902518177951E-8
3.956726793127456E-17
50.2902518177951
8.520000000000001E-7
1.59052728723952E-6
5.454225539973644E-13
1590.5272872395199
1.5921900000000001E-6
1.95904497519525E-6
1.3458257282550738E-13
1959.04497519525
1937.0
5.22557408564591E-8
52.2557408564591
8.909900000000001E-7
4.893524162384266E-13
5.7106E-7
1.9265022913677584E-12
1938.0
5.40122419638876E-8
54.0122419638876
1.34659E-6
1.40462971963091E-6
3.368609054834621E-15
1404.62971963091
1982.0
1.72941203648293E-6
1729.41203648293
5.1E-8
5.5584052872879E-8
2.101354074135021E-17
55.584052872879
1.04208E-6
1.3144229920445138E-13
1983.0
1.52753111195987E-6
1527.53111195987
1940.0
5.69926545667994E-8
56.992654566799395
9.6964E-7
1.892160561845776E-13
1984.0
1.34964419338926E-6
1349.64419338926
1941.0
5.82570385977094E-8
58.257038597709396
1.0254400000000002E-6
1.24093757689114E-6
4.643920564595273E-14
1240.93757689114
1985.0
1.1926911593345E-6
1192.6911593344998
1942.0
5.93939911125652E-8
59.393991112565196
7.308200000000001E-7
1.09656624881538E-6
1.3377031852252175E-13
1096.5662488153798
8.5468E-7
1.05410169246004E-6
3.9769011423626806E-14
1054.10169246004
5.8E-8
6.04342381306813E-8
5.925515276862784E-18
60.4342381306813
8.4292E-7
6.43364195381136E-14
1.1436500000000003E-6
8.018899383271286E-15
1944.0
6.17806001072209E-8
61.7806001072209
1.9533E-6
7.339927204188704E-13
1.05473E-6
3.9477036477048476E-19
1945.0
6.37115440545815E-8
63.711544054581495
1985.0
9.69115792160582E-7
969.115792160582
1987.0
9.31672740098381E-7
931.6727400983809
1946.0
6.63396391717331E-8
66.3396391717331
1986.0
8.56541965005205E-7
856.5419650052049
7.9042E-7
8.23492060431435E-7
1.0937611811804878E-15
823.492060431435
6.5E-8
6.97210559968526E-8
2.2288369725417852E-17
69.72105599685258
1.10553E-6
7.57077136053783E-7
1.2141939839232085E-13
757.077136053783
1.01404E-6
3.63085172738255E-14
1948.0
7.38966924965127E-8
73.8966924965127
6.2463E-7
1.75422438488493E-14
1.10458E-6
7.901042977090128E-14
1949.0
7.89077252053395E-8
78.9077252053395
7.575000000000001E-7
1.7881391701027599E-19
1.1862300000000002E-6
1.3157881280244804E-13
1.0000000000000001E-7
8.48016416958489E-8
2.3099009514135906E-16
84.80164169584889
6.2227E-7
1.8172963931023163E-14
1.3729000000000002E-6
3.018490840609762E-13
1951.0
9.16347802291067E-8
91.6347802291067
6.4348E-7
1.2904309319621671E-14
9.064600000000001E-7
7.27887296846351E-7
3.188821031160127E-14
727.887296846351
1952.0
9.94736308237684E-8
99.47363082376839
9.9369E-7
6.69178916917427E-7
1.053074430434246E-13
669.178916917427
7.9354E-7
4.310277431381159E-15
1.35E-7
1.08395757089638E-7
7.077857408335473E-16
108.39575708963798
1.35248E-6
4.669003701418174E-13
8.745000000000001E-7
2.1495284726020015E-14
1954.0
1.1849032834514E-7
118.49032834513999
4.5283E-7
5.91494168056974E-7
1.9227751502932715E-14
591.4941680569739
7.1029E-7
6.43389327441006E-7
4.475699988845739E-15
643.389327441006
1955.0
1.29858775904806E-7
129.85877590480598
6.1808E-7
5.22832028879169E-7
9.072176002634667E-15
522.832028879169
7.0782E-7
5.68704192717365E-7
1.9353207835899246E-14
568.704192717365
1.71E-7
1.42616882971426E-7
8.056013322577285E-16
142.61688297142598
1991.0
4.6214250288278E-7
462.14250288278
1992.0
5.02690468048779E-7
1957.0
1.56895427225116E-7
156.89542722511598
5.95E-7
4.08498806268553E-7
3.478269526325473E-14
408.498806268553
1993.0
4.44340410873095E-7
2.3100000000000002E-7
1.72841488840775E-7
3.382412420257702E-15
172.84148884077499
9.176000000000001E-7
3.61082409258688E-7
3.0971182880451463E-13
361.08240925868796
1959.0
1.90619948775028E-7
190.61994877502798
sum =
4.232878516655652E-12
sum =
3.1017469486941807E-12
1960.0
2.10415176236099E-7
210.41517623609897
2.7800000000000003E-7
2.32432943042609E-7
2.0763566797581186E-15
232.43294304260897
1962.0
2.56902550031004E-7
256.902550031004
log
log
log
log
1963.0
2.84079189971611E-7
284.079189971611
year
Observed
predicted
logpre-log-obs
year
Observed
predicted
logpre-logobs
3.2600000000000003E-7
3.14246622941574E-7
1.3814187227753602E-16
314.24662294157395
4-yr Lake
4-yr Lake
5-yr Lake
5-yr Lake
1965.0
3.47720129441463E-7
347.720129441463
trout
trout
trout
trout
1966.0
3.84849780158128E-7
384.84978015812794
(g/kg)
(g/kg)
(g/kg)
(g/kg)
4.16E-7
4.26024101488634E-7
1.0048261065443366E-16
426.02410148863396
1977.0
-5.576828844088842
1977.0
-5.546782599273146
-5.483340302589611
0.06344229668353485
1968.0
4.58769205114874E-7
458.769205114874
1978.0
-5.633831992485762
1977.0
-5.487574443584569
0.004234140994957336
1969.0
4.62286675244045E-7
462.286675244045
1979.0
-5.689430564606135
1977.0
-5.539908378615351
0.05656807602573988
4.6000000000000004E-7
4.4305815215013E-7
2.870262085681465E-16
443.05815215012996
1980.0
-5.7554928011973905
-5.744191422080828
0.011301379116562593
1978.0
-5.54172426356121
1971.0
4.11199637618173E-7
411.19963761817297
1980.0
-6.023861028385644
0.2796696063048163
1979.0
-5.598151125660114
1972.0
3.74180740115494E-7
374.180740115494
1980.0
-5.695278728422246
-0.04891269365858175
1980.0
-5.653401566892231
1973.0
3.36472857850493E-7
336.47285785049297
1981.0
-6.069560405233299
-5.798458875694692
0.27110152953860744
1981.0
-5.798005108063206
-5.707955593482085
0.09004951458112131
3.08E-7
3.00429261466473E-7
5.731608194303025E-17
300.429261466473
1981.0
-6.050127170227087
0.25166829453239536
1981.0
-6.243318259004667
0.535362665522582
1975.0
2.6712519661643E-7
267.12519661643
1982.0
-5.870764614998732
-5.852438146872913
0.018326468125819062
1982.0
-5.762101522716747
2.3600000000000002E-7
2.36929021535198E-7
8.630810128615946E-19
236.929021535198
1982.0
-5.982098939169993
0.12966079229707983
1983.0
-5.816009935511011
1977.0
2.09844088751298E-7
209.844088751298
1982.0
-6.01338947710832
0.16095133023540686
1984.0
-5.86978070944171
1.64E-7
1.85699858676082E-7
4.708838665619305E-16
185.699858676082
1983.0
-5.989089745760008
-5.906250064346209
0.08283968141379905
1985.0
-5.923471999884675
1979.0
1.64253845103219E-7
164.25384510321896
1984.0
-6.136189576028332
-5.959965125385617
0.17622445064271464
1986.0
-6.068196458660803
-5.9771174893665115
0.09107896929429149
1.4400000000000002E-7
1.45243796872064E-7
1.5470306589561178E-18
145.24379687206397
1984.0
-6.074213641516686
0.11424851613106934
1986.0
-5.941706865687774
-0.03541062367873771
1.2500000000000002E-7
1.28413089538634E-7
1.164918019873271E-17
128.41308953863398
1984.0
-5.709231049933441
-0.25073407545217563
1986.0
-5.976858701046332
-2.587883201794483E-4
1982.0
1.13522115359262E-7
113.522115359262
1985.0
-6.013624329355826
1987.0
-6.030736611388867
9.5E-8
1.00352533626154E-7
2.8649616219109294E-17
100.352533626154
1986.0
-6.067251354562185
1988.0
-6.102142079326618
-6.084340583655658
0.017801495670959788
1984.0
8.87080056107954E-8
88.7080056107954
1987.0
-5.956429467777553
-6.120859869435375
-0.16443040165782197
1988.0
-5.993944913408357
-0.09039567024730122
6.5E-8
7.84132748631966E-8
1.7991594255566184E-16
78.41327486319659
1987.0
-6.204377161121551
0.08351729168617616
1988.0
-5.956802824563612
-0.12753775909204634
1986.0
6.93125624747884E-8
69.3125624747884
1987.0
-6.120617362825658
-2.4250660971691929E-4
1988.0
-5.925831096767273
-0.15850948688838518
1987.0
6.12677293350809E-8
61.267729335080894
1987.0
-6.2060211361013655
0.08516126666599089
1988.0
-5.862361094977244
-0.22197948867841433
1988.0
5.41564468892991E-8
54.1564468892991
1987.0
-6.191464946855351
0.07060507741997668
1989.0
-6.042651355564677
-6.137935859899677
-0.0952845043350008
1989.0
4.78704718202409E-8
47.870471820240894
1988.0
-6.002749080680724
-6.174457750331669
-0.1717086696509451
1989.0
-6.100431176859431
-0.03750468304024679
1990.0
4.23140675732539E-8
42.3140675732539
1988.0
-5.868869148368424
-0.3055886019632448
1989.0
-6.058240186185305
-0.07969567371437236
1991.0
3.74025807184496E-8
37.4025807184496
1989.0
-6.344064808845255
-6.228049533019417
0.1160152758258377
1990.0
-6.148564299611192
-6.191526147462525
-0.04296184785133317
1992.0
3.30611690067742E-8
33.06116900677419
1990.0
-6.208955309199255
-6.281637815239521
-0.07268250604026605
1991.0
-6.150077170199601
-6.2451135699414255
-0.09503639974182487
1993.0
2.92236698313177E-8
29.2236698313177
1991.0
-6.335224087922301
1992.0
-6.298699349729285
1994.0
2.58315964818851E-8
25.8315964818851
1992.0
-6.22548303427145
-6.388809208242307
-0.1633261739708569
1993.0
-6.352284187724443
1995.0
2.28332490496156E-8
22.8332490496156
1993.0
-6.037346595106789
-6.442393668449298
-0.40504707334250867
1996.0
2.01829276098047E-8
20.1829276098047
log mean =
0.011679054677831919
antimean
1.0272568707024796
log mean
-0.0070020981563697505
antimean
0.9840063518343208
1997.0
1.78402362676271E-8
17.8402362676271
log sd =
0.18462752424705534
95%conlim
0.36186994752422846
antisd
1.5297748765793806
log sd =
0.16042238462522873
95%conlim
antisd
1.4468462554053214
1998.0
1.57694677482066E-8
15.769467748206598
-0.18462752424705534
95%conlim
-0.36186994752422846
antisd
0.6536909549959586
log sd =
-0.16042238462522873
95%conlim
antisd
0.691158439443076
1999.0
1.39390592987061E-8
13.939059298706098
sum
8.569003235426411E-15
sed sum =
8.569003235426411E-15
sheet
sed sum
4yrlt sum
5yrlt sum
4yrlogmean
0.011679054677831919
sheet
4yrlogmean
5yrlogmean
4yrltsum =
4.232878516655652E-12
n
8.89E-15
4.31E-12
3.32E-12
5yrlogmean
-0.0070020981563697505
n
0.01637
0.00368
5yrltsum =
3.1017469486941807E-12
o
8.57E-15
4.77E-12
4.09E-12
o
0.0358
0.0237
1.0
8.57E-15
4.47E-12
3.52E-12
1.0
0.02363
0.00817
2.0
8.75E-15
4.23E-15
3.1E-12
2.0
0.01168
-0.007
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
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0.0
0.0
0.0
0.0
0.0
0.0
0.0
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