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Table 1 Input data and model output for the period 1979–2018: total human population NTOT in 106, annual human net migration NMIG in 104 per year, reported tick-borne encephalitis (TBE) cases NTBE, vaccination coverage VC, four-year average of log-transformed Scandinavian indices SI, beech fructification index 2 years prior Fyear−2 and annual sunshine duration in hours SD

From: Tick-borne encephalitis (TBE) cases are not random: explaining trend, low- and high-frequency oscillations based on the Austrian TBE time series

YearNTOTN MIGNTBEVCSIFyear−2SDNNGLM1NGLM2NGLM3NGLM4
19797.546-0.0026770.030.97411447698436652645634
19807.5530.0094380.070.90411444471437526531512
19817.5840.0302940.150.83611392346440411419385
19827.564-0.0236120.220.80111719785438508546602
19837.560-0.0022400.290.72501583338437380305318
19847.5630.0033360.350.79421401517438432473439
19857.5670.0063000.410.82411522508438454474469
19867.5730.0062580.460.80421555478439435473478
19877.5760.0022150.510.83701371439439480368349
19887.5940.0132010.560.74421451457441370411386
19897.6450.0451310.600.72221732328447302331357
19907.7110.059890.630.71401692241455283220237
19917.7990.0771280.650.72821679366465274296305
19927.8830.071840.670.75921623255475314338338
19937.9290.0341020.710.81511539352481449471453
19947.9430.0031780.740.85931612685483591660640
19957.9530.0021090.780.84801601495484582457477
19967.9650.0041280.780.89911504582485648675650
19977.9710.002990.790.76731722471486494573577
19987.9820.008620.800.70401438310487416343318
19998.0020.020410.820.73201626228490419340348
20008.0210.017600.840.69511546375492395442414
20018.0640.042540.860.78311514386498425452421
20028.1000.034600.870.87121533462502546588566
20038.1430.043820.870.87312014631508534552681
20048.2010.054540.870.84011589415516478498482
20058.2540.0501000.880.86211743833523526547576
20068.2830.025840.880.87221771700526627688743
20078.3080.023450.880.82701692375530580462487
20088.3350.024870.870.83721635669533597666661
20098.3520.018790.860.83511686564536622674682
20108.3750.022630.850.83701538420539616492476
20118.4080.0311130.860.88931847807544664741785
20128.4520.044520.850.88501674347550625484503
20138.5080.056990.820.88031508550558593656569
20148.5850.074800.850.89201621533569571436433
20158.7000.114710.850.82811743473586417431428
20168.7730.065890.840.80711607556597542589543
20178.8220.0451160.820.77201596644604577478451
20188.8590.0351540.820.74732015856610586708768
  1. The hypothetical TBE cases without vaccination N were simulated by 4 versions (development steps) of a generalized linear model, where the predicted TBE cases are given by N GLM1, N GLM2, N GLM3 and N GLM4