Abstract
The study provides quantitative evidence refuting the traditional tripartite infraspecific classification of Cryptotaenia japonica complex (Apiaceae) in East Asia, whose taxonomic status is controversial because its leaf‑shape variation has historically been divided into three infraspecific forms (f. japonica, f. dissecta, f. pinnatisecta) based on qualitative assessments, and it is unclear if these forms represent discrete lineages or a continuous response to environmental gradients. The authors analyzed 1,061 leaf specimens from 72 East Asian populations and 9 North American C. canadensis samples using geometric morphometrics and fractal dimension analysis. Unsupervised multivariate approaches (PCA, hierarchical clustering, silhouette analysis) were applied to assess the intrinsic structure of the data without any a priori taxonomic assignment. The results revealed a continuous morphological gradient, with PCA capturing 68.63% of the total variance. The low Adjusted Rand Index (ARI = 0.088) statistically refuted the three‑form classification. Generalized additive modelling (GAM) identified a significant nonlinear relationship between leaf complexity (PC1) and altitude (adj. R²= 0.0559, P < 0.001), with an inflection point occurring at 850 m s.l.m. These findings demonstrate that the three traditional infraspecific forms are not discrete taxa, but rather arbitrary segments along a continuous altitudinal phenotypic cline. Multivariate analyses statistically reject the tripartite classification, leaf complexity increases non‑linearly with elevation (threshold ~850 m s.l.m), and the phenotypic contrasts between East Asian C. japonica and North American C. canadensis suggest divergent evolutionary strategies. Consequently, we propose reducing f. dissecta and f. pinnatisecta to synonyms under C. japonica, reflecting altitudinal morphological variation within a single, polymorphic taxon.
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