It is interesting to compare our results to those of Pfau et al., who, using local-scale mixed-effects logistic regression, found that the presence of both treatment-naïve non-exudative and exudative type 1 MNV was associated with reduced odds of RPE atrophic progression (odds ratio [95% confidence interval {CI}] of 0.21 [0.19, 0.24],
P < 0.001). While utilizing different metrics (odds ratios versus correlations), the associations of our study appear to be less pronounced than those of Pfau et al. However, when comparing results, there are important methodological differences to consider. First, our study uses a GA growth model to estimate local GA growth rates, whereas the study by Pfau et al. used Euclidean distances. As discussed in Moult et al.,
22 for non-convex lesion geometries, Euclidean distance computations can result in nonphysical measurements (e.g. growth trajectories passing through regions of non-atrophy). Nevertheless, for smaller growths, we would expect the two approaches to yield similar measurements. Second, the statistical analysis of our approach adjusts for spatial autocorrelations between the distance-to-MNV and local GA growth rate measurements, which is not the case for the pixel-level analysis of Pfau et al. In particular, spatial autocorrelations arise in the analysis of Pfau et al. because if a pixel
X develops atrophy, it is more likely that a pixel
Y close to
X will also develop atrophy than it is that a pixel
Z far from
X will develop atrophy, even if
Y and
Z are equidistant from the lesion margin (a covariate included in their model). The presence of autocorrelations is potentially problematic as it reduces the effective sample size, and therefore leads to artificially low
P values (i.e. increased type I errors). For example, the effect of autocorrelation adjustment in our analysis can be seen in the assessment of case 8, where there is a larger
P value for the 1-mm analysis compared to the all distance analysis, despite Pearson's
r being larger for the former. Third, the study by Pfau et al. modeled local MNV presence as a binary variable (i.e. presence or absence of MNV at a given pixel), whereas we modeled MNV presence as a continuous variable (i.e. distance-to-MNV). Fourth, by using mixed-effects modeling, Pfau et al. included the eccentricity and angle (i.e. superior, inferior, nasal, and temporal) as covariates, which were not modeled in our analysis. Inclusion of eccentricity, in particular, may be relevant, as studies have reported variations in average GA growth rates as a function of eccentricity.
27–32 However, these studies investigated dependencies of GA growth rates as a function of eccentricity pooled over many eyes, rather than intra-eye dependencies, which are the only type of dependency relevant to the present study. Nevertheless, to investigate this potential confounder, we generated scatterplots (
Fig. 6) of the local GA growth rates versus the local distance to the fovea center, estimated as the center of the FAZ as traced on OCTA. Examination of these scatterplots shows no evidence of a confounding intra-eye correlation between local GA growth rates and eccentricity. Fifth, Pfau et al. included embedded GA cases, which we excluded in our analysis given the possibility that atrophy in the center of MNV has different etiology and character as compared to GA that develops independently of MNV.