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Anders Bignert , Dep. of Contaminant Research 06.10.27

Randomization and stratification — a model analysis at different variation scenarios. Swedish Museum of Natural History. Anders Bignert , Dep. of Contaminant Research 06.10.27. Timeseries. Tidsserier. Sampling frequency. SD(lr) = 0.35. Sampling period = 12 years.

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Anders Bignert , Dep. of Contaminant Research 06.10.27

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  1. Randomization and stratification — a model analysis at different variation scenarios Swedish Museum of Natural History Anders Bignert, Dep. of Contaminant Research 06.10.27

  2. Timeseries Tidsserier

  3. Sampling frequency SD(lr) = 0.35 Sampling period = 12 years Power as a function of slope (annual change in %) at log-linear regression analysis at a residual standard deviation on a log-scale of 0.35, assuming normally distributed residuals. The graphs, from left to right, represent sampling every, every-second, third and fourth year, respectively based on Monte Carlo simulations at 10,000 runs.

  4. Spatial monitoringObjectives? • Estimate mean and variance • Regional differences • Spatial trends • Level in relation to class limit

  5. Sample variogram Figur II. Variogram som visar hur skillnaden mellan prov (CB-118, pg/g färskvikt i strömmings­muskel från Bottenhavet) ökar med ökande avstånd.

  6. N of species – n of samples (nets) Randomization technique

  7. Unaligned square lattice design Random design Sobol sequence Sampling design

  8. CV = 10% Distance to class limit: 25, 15, 10 , 5%

  9. CV=20%, normal distributed Distance to class limit: 30, 25, 20, 15, 10% 10 > 34

  10. CV=20%, Log-normal distribution Distance to class limit: 30, 25, 20, 15, 10% 34 > 50

  11. random sampling Sobol sequence 75 > 53

  12. random sampling ”Stratified” sampling 100 > 65

  13. 35% (normally distributed) variation were added (> total variation = 39 %) True mean = 2.5 pg/g. Distance to4.0, 3.5 and 3.0 pg/g (37.5%, 28%, 17%)

  14. Afla-toxines in figs Tolerance limit

  15. PCDD/DF - TEQ Herring, geometric mean Muscle

  16. PCDD/DF- TEQ Herring, 95% conf. int. Muscle

  17. PCDD/DF- TEQ Herring, 95% pop int. Muscle

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