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Nondestructive estimation of growth year in ginseng cultivars using the means of mathematical modeling on the basis of allometry

Growth‐year authentication has extraordinary significance for plant growth, structure and development research, and has a wide range of applications in value assessment of economic crops. Panax ginseng is the most commonly used medicinal plant in Asian countries. The fix number of growth‐year is an important quality evaluation which is difficult to be obtained accurately in current technical conditions. Preliminary authentication theory for growth‐year has been described in previous studies using a short‐lived perennial medicinal plant (Paeonia lactiflora pall.) as the research material. In this research, we focused on the growth‐year estimation in ginseng cultivars, and attempt to explore the age estimation method for vascular plants according to mathematical simulation of the root structure development. Micro data was obtained from 204 individuals of 3 different kinds of ginseng cultivars, which have a series of gradient age and a clear growth record. Outer diameter of the vascular cambium (b) and the radius of cross section (r) were measured with ordinary stereo microscope. We further designed and established two different kinds of authentication model based on the taproot structure development for growth year authentication (P =β*M−α and M = K*X1a1X2a2). Moreover, the models were applied to identify the growth year of ginseng without damage using Micro‐CT or DEI reconstruction. A potential method, have been recently described, the age of ginseng can be analyzed by telomere length and telomerase activity. However, we found that there are different results indicated in other species. We concluded that microscopic methods perceived currently were provided a more effective means for growth‐year authentication. Microsc. Res. Tech. 79:98–105, 2016. © 2016 The Authors Microscopy Research and Technique Published by Wiley Periodicals, Inc.