| Literature DB >> 27306947 |
Atle Mysterud1, William Ryan Easterday1, Vetle Malmer Stigum1, Anders Bjørnsgaard Aas1,2, Erling L Meisingset3, Hildegunn Viljugrein1,4.
Abstract
Global environmental changes are causing Lyme disease to emerge in Europe. The life cycle of Ixodes ricinus, the tick vector of Lyme disease, involves an ontogenetic niche shift, from the larval and nymphal stages utilizing a wide range of hosts, picking up the pathogens causing Lyme disease from small vertebrates, to the adult stage depending on larger (non-transmission) hosts, typically deer. Because of this complexity the role of different host species for emergence of Lyme disease remains controversial. Here, by analysing long-term data on incidence in humans over a broad geographical scale in Norway, we show that both high spatial and temporal deer population density increase Lyme disease incidence. However, the trajectories of deer population sizes play an overall limited role for the recent emergence of the disease. Our study suggests that managing deer populations will have some effect on disease incidence, but that Lyme disease may nevertheless increase as multiple drivers are involved.Entities:
Mesh:
Year: 2016 PMID: 27306947 PMCID: PMC4912636 DOI: 10.1038/ncomms11882
Source DB: PubMed Journal: Nat Commun ISSN: 2041-1723 Impact factor: 14.919
Analysis of Lyme disease incidence.
| Intercept | −11.831 | 0.149 | −79.4 | <0.001 |
| log(spatial deer density+0.1) | 0.711 | 0.103 | 6.91 | <0.001 |
| Temporal deer density | 0.085 | 0.039 | 2.20 | 0.028 |
| Region (North versus West) | −1.174 | 0.305 | −3.85 | <0.001 |
| Region (South versus West) | 0.830 | 0.201 | 4.12 | <0.001 |
| Region (East versus West) | −0.959 | 0.239 | −4.01 | <0.001 |
| Year | 0.638 | 0.066 | 9.69 | <0.001 |
| Square root (distance to coast) | −1.225 | 0.137 | −8.97 | <0.001 |
| Square root (proportion of residential settlement area) | −0.578 | 0.067 | −8.57 | <0.001 |
| Spatial autocorrelation (lag 1) | 0.276 | 0.083 | 3.33 | <0.001 |
| Latitude | −0.500 | 0.172 | −2.90 | 0.004 |
| NAO-JJA (lag 1) | 0.197 | 0.033 | 5.95 | <0.001 |
| NAO-MAM (lag 2) | −0.125 | 0.026 | −4.79 | <0.001 |
| NAO-DJF (lag 1) | 0.131 | 0.026 | 4.98 | <0.001 |
| Year × region (North versus West) | 0.170 | 0.152 | 1.12 | 0.262 |
| Year × region (South versus West) | −0.331 | 0.073 | −4.56 | <0.001 |
| Year × region (East versus West) | 0.035 | 0.110 | 0.32 | 0.749 |
DJF, December–January–February; JJA, June–July–August; MAM, March–April–May; NAO, North Atlantic Oscillations.
Parameter estimates of the most parsimonious negative binomial model explaining the incidence of Lyme disease during 1991–2012 in Norway. All numeric variables were standardized. Baseline for region is West.
Figure 1Spatial variation in Lyme disease incidence and deer population index in Norway.
(a) Incidences of Lyme disease in humans are pooled over the 5-year period 2008–2012 (per 100,000). (b) The deer population index (number of harvested deer per km2) for all municipalities of Norway is given for year 2011. Numbers of deer per year are pooled for all deer species (roe deer, red deer and moose). (c) The relationship between LD incidence (per 10,000) and the (log) spatial population density index of deer plotted for year 2011 for regions West and South in Norway. Analysis includes 2,007 LD cases from 416 municipalities. Points are averages of residuals for binned ranges of data; thin and thick lines are 80% and 50% of the data, respectively. See Methods for classification of regions.
Figure 2Temporal variation in Lyme disease incidence and deer population index in Norway.
The annual number of harvested deer and Lyme disease cases in humans in region (a) West and (b) South and the relationship between LD incidence (per 10,000) and the temporal variation in deer density index in the (c) West and (d) South regions of Norway for years 1991, 2001 and 2011. Analysis includes 2,007 LD cases from 416 municipalities. Points are averages of residuals for binned ranges of data; thin and thick lines are 80% and 50% of the data, respectively. Numbers of deer per year are pooled for all deer species (roe deer, red deer and moose).
Model selection of Lyme disease incidence.
| Region | 78.5 |
| Spatial deer density | 42.8 |
| Temporal deer density | 2.9 |
| Year × region | 25.3 |
| Year × region+temporal deer density | 52.1 |
| Year | 134.1 |
| Square root (distance to coast) | 76.3 |
| Square root (proportion of residential settlement area) | 53.6 |
| Latitude | 6.6 |
| NAO-DJF (lag 1) | 62.4 |
| NAO-MAM (lag 2) | 20.9 |
| NAO-JJA (lag 1) | 40.9 |
| NAO-DJF (lag 1)+NAO-MAM (lag 2)+NAO-JJA (lag 1) | 67.3 |
| NAO (all)+temporal deer density+year × region | 107.2 |
| NAO (all)+year+temporal deer density | 214.4 |
| Spatial autocorrelation (lag 1) | 9.3 |
| All fixed effects (intercept and random effects only) | 708.2 |
| All fixed and random effects (intercept only) | 2,259.6 |
| Log (deer density) replacing spatial deer density+temporal deer density | 7.1 |
| Temporal deer density (lag 1) replacing temporal deer density | −0.8 |
| Temporal autocorrelation | −0.8 |
| Proportion of people living in city | 1.1 |
| Proportion of agricultural area | −5.1 |
| Proportion of forest | 1.6 |
| Mammal species richness | 0.6 |
| Rodent abundance index (lag 1) | 0.3 |
DJF, December–January–February; JJA, June–July–August; MAM, March–April–May; NAO, North Atlantic Oscillation index.
Difference in the AIC, DAIC, between the top-ranked (best) model in main Table 1 (AIC.6,031.2) and a model excluding, replacing or adding indicated explanatory variable*. Observation unit is number of LD cases in each municipality and year. There are in total 19 years and 416 municipalities with complete set of covariates giving 7,904 observation units over which 2,007 LD cases were found. Top-ranked model is the most parsimonious model with lowest AIC value or AIC not larger than 5 to other models. Parameters directly relevant for the testing of hypothesis were added if improving model fit and retained if significant. Spatial values are at scale of municipality, while temporal values are at scale of year lagged one (lag 1) or two (lag 2) years before to match life cycle of ticks.
*The top-ranked (best) model is the one parametrized in Table 1 and used as a starting point. We then challenge this model by either excluding those explanatory variables that are in the best model, adding those explanatory variables that are not in the best model, or replacing explanatory variables in the best model with related, correlated terms (that should not be in the same model).
†Compared with top-ranked model run on reduced data set (1 year lacking for this variable).
Figure 3Linking tick abundances and pathogen dilution to deer density.
Relationship between (a) the (log) abundance of questing tick nymphs inside and outside of deer exclosures (10 replicates), (b) the (log) abundance of questing tick nymphs (n=11,216) and deer population density index, (c) the (log) nymphal tick load on red deer ears (n=49) and deer population density index, and (d) the prevalence of Borrelia burgdorferi sensu lato in ticks (n=3,324) and deer population density index along the west coast of Norway. For d, data points are proportional to (square root) sample size.
Analysis of tick abundance in Møre og Romsdal County.
| Intercept | −0.284 | 0.1808 | 1.57 | 0.116 | |
| Season (spring versus fall) | 0.1124 | 0.0619 | 1.82 | 0.069 | 1.3 |
| Elevation | −0.3930 | 0.1158 | −3.39 | <0.001 | 9.1 |
| Distance to coast | −1.8587 | 0.3193 | −5.82 | <0.001 | 34.3 |
| Year (2012 versus 2011) | 0.0199 | 0.0743 | 0.27 | 0.789 | 131.0 |
| Year (2013 versus 2011) | −0.8045 | 0.0786 | −10.23 | <0.001 | |
| Slope | 0.3107 | 0.0055 | 6.03 | <0.001 | 35.0 |
| log(spatial red deer density) | 0.7778 | 0.2990 | 2.60 | 0.009 | 2.2 |
| log(spatial red deer density)2 | 0.4409 | 0.2038 | 2.16 | 0.031 | 2.3 |
| All variables | 224.2 | ||||
| All variables and random effects | 1604.5 | ||||
| Zero-inflation | 9.4 | ||||
Parameter estimates from analysis of abundance of questing ticks in spring and autumn with a zero-inflated negative binomial model (AIC=10,020.8) and ‘transect' as random terms for the West region, Møre and Romsdal county, Norway. Sample size is 11,216 nymphal ticks from 37 transects for 2 seasons each of 3 years. Each transect consists of 12 survey plots, and observation unit is survey plot for a given transect, season and year (in total n=2,614). Baseline values are year 2011 and season Fall. ‘Distance to coast' was entered as the mean for a local management unit. ‘Slope', ‘elevation' and ‘distance to coast' are scaled to mean zero and variance one. The ΔAIC refers to the effect of removing the variable in the given row from the given model and at bottom excluding terms.
Analysis of tick abundance in Sogn og Fjordane County.
| Intercept | 2.6225 | 0.2912 | 9.005 | <0.001 | |
| Season (spring versus fall) | 0.3099 | 0.0567 | 5.470 | <0.001 | 27.3 |
| Year (2010 versus 2009) | −0.0456 | 0.1028 | −0.444 | 0.657 | 173.5 |
| Year (2011 versus 2009) | −0.5834 | 0.0855 | −6.827 | <0.001 | |
| Year (2012 versus 2009) | −0.3151 | 0.1060 | −2.973 | 0.003 | |
| Year (2013 versus 2009) | −0.9644 | 0.1202 | −8.024 | <0.001 | |
| Year (2014 versus 2009) | −1.1810 | 0.1067 | 0.270 | <0.001 | |
| Elevation | 0.0109 | 0.0784 | 0.139 | 0.889 | 27.5 |
| (Elevation)2 | −0.3281 | 0.0590 | −5.565 | 0.000 | 29.5 |
| bs(distance to coast)1 | −8.3404 | 1.2578 | −6.631 | 0.000 | 94.7 |
| bs(distance to coast)2 | −1.7015 | 1.5149 | −1.123 | 0.261 | |
| bs(distance to coast)3 | −5.2523 | 0.8259 | −6.360 | 0.000 | |
| Slope | 0.4002 | 0.0375 | 10.672 | <0.001 | 118.6 |
| Log(red deer density) | −0.0328 | 0.0818 | −0.401 | 0.689 | 13.7 |
| Log(red deer density)2 | 0.1894 | 0.0448 | 4.223 | <0.001 | 15.7 |
| All variables | 536.7 | ||||
| All variables and random effects | 2573.0 | ||||
| Replacing | |||||
| Year category replaced by year numeric | 33.2 | ||||
| Log (red deer density) (lag 1) replaced by log (spatial deer density) | 10.9 | ||||
| Adding | |||||
| Zero-inflation | 1.6 | ||||
Parameter estimates from analysis of abundance of questing ticks with a negative binomial model (AIC=13,317.1) with ‘transect' as random terms for the West region, Sogn & Fjordane county, Norway. Sample size is 12,082 nymphal ticks from 34 transects for 2 seasons each of 6 years. Each transect consists of 12 survey plots, and observation unit is survey plot for a given transect, season and year (in total n=4,419). Continuous variables are scaled to mean zero and variance one. Baseline values are year ‘2009' and season ‘fall'. ‘Red deer density': red deer density for a municipality. ‘Distance to coast' was modelled as third-order polynomial using a cubic spline function (bs). The ΔAIC refers to the effect of removing the variable in the given row, and at bottom if excluding, replacing and adding variables from the best model.
Analysis of tick load on red deer.
| Intercept | 12.3947 | 2.0524 | 6.039 | <0.001 | |
| Red deer density | 1.1918 | 0.3367 | 3.539 | <0.001 | 9.9 |
| Julian date | −0.0300 | 0.0055 | −5.460 | <0.001 | 21.4 |
| Carcass mass | −0.0396 | 0.0124 | −3.195 | 0.001 | 4.7 |
| Elevational difference between summer and winter range | −0.0032 | 0.0010 | −3.300 | <0.001 | 7.2 |
| Excluding all variables (intercept only) | 35.4 |
Parameter estimates and test statistics for the analysis of tick load on ears of red deer (n=49) in the West region, Norway. Model AIC=204.1. The ΔAIC refers to the effect of removing a given variable from the model and at bottom excluding all variables.
Analysis of pathogen prevalence.
| S&F—May—using year | ||||
| Intercept | −1.6877 | 0.5237 | −3.223 | 0.001 |
| Year (2010 versus 2009) | 1.0016 | 0.4210 | 2.379 | 0.017 |
| Year (2011 versus 2009) | 0.9045 | 0.4074 | 2.220 | 0.026 |
| Year (2012 versus 2009) | 0.6993 | 0.4296 | 1.628 | 0.104 |
| Year (2013 versus 2009) | −1.2884 | 0.6415 | −2.009 | 0.045 |
| Year (2014 versus 2009) | 0.7980 | 0.4289 | 1.860 | 0.063 |
| Red deer density (lag 1) | −0.6147 | 0.1931 | −3.182 | 0.001 |
| S&F—May—using Rodent abundance index | ||||
| Intercept | −1.3702 | 0.3149 | −4.352 | 0.000 |
| Rodent abundance index | 2.4879 | 1.0851 | 2.293 | 0.022 |
| Red deer density (lag 1) | −0.4456 | 0.1779 | −2.504 | 0.012 |
| S&F—Aug—using year | ||||
| Intercept | −2.7669 | 0.5531 | −5.003 | 0.000 |
| Year (2011 versus 2009) | −0.1564 | 0.2660 | −0.588 | 0.557 |
| Year (2012 versus 2009) | −0.5680 | 0.2984 | −1.903 | 0.057 |
| Year (2013 versus 2009) | −0.1203 | 0.2762 | −0.435 | 0.663 |
| Year (2014 versus 2009) | 0.1582 | 0.2890 | 0.547 | 0.584 |
| Red deer density (lag 1) | 0.4129 | 0.2734 | 1.510 | 0.131 |
| S&F—Aug—using Rodent abundance index | ||||
| Intercept | −2.9885 | 0.4695 | −6.365 | 0.000 |
| Rodent abundance index | −1.2321 | 1.5119 | −0.815 | 0.415 |
| Red deer density (lag 1) | 0.4711 | 0.2559 | 1.841 | 0.066 |
| M&R | ||||
| Intercept | −1.8763 | 0.2546 | −7.371 | <0.001 |
| Year (2013 versus 2011) | 0.5620 | 0.1789 | 3.141 | 0.002 |
| Red deer density (lag 1) | −0.5077 | 0.2122 | −2.392 | 0.017 |
M&R, Møre and Romsdal; S&F, Sogn and Fjordane.
Parameter estimates and test statistics for the analysis of prevalence of Borrelia burgdorferi sensu lato in nymphal Ixodes ricinus ticks in two counties in the West region, Norway. Analyses are separate for county Sogn and Fjordane (S&F) in May and August (due to lacking data in 2010 for August) and for county Møre and Romsdal (M&R). In M&R, there was no effect of ‘season' (ΔAIC=1.60) or interaction ‘season × year' (ΔAIC=2.0) if added to the model. For S&F, due to longer time series, we were able to run models using either year or the rodent abundance index. Random terms were ‘municipality' (n=9) for S&F and ‘local management unit' (n=21) for M&R.