Open AccessModeling the temporal periodicity of growth increments based on harmonic functions
Author(s) -
José Ángel Hidalgo-de-la-Toba,
Enrique Morales-Bojórquez,
Sergio Scarry González-Peláez,
J. Jesús Bautista-Romero,
Daniel B. LluchCota
Publication year - 2018
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0196189
Subject(s) - biological system , harmonic , degree (music) , dynamics (music) , population , process (computing) , statistics , mathematics , estimation , basis (linear algebra) , statistical physics , econometrics , computer science , biology , physics , acoustics , geometry , engineering , demography , sociology , operating system , systems engineering
Age estimation methods based on hard structures require a process of validation to confirm the periodical pattern of growth marks. Among such processes, one of the most used is the marginal increment ratio (MIR), which was stated to follow a sinusoidal cycle in a population. Despite its utility, in most cases, its implementation has lacked robust statistical analysis. Accordingly, we propose a modeling approach for the temporal periodicity of growth increments based on single and second order harmonic functions. For illustrative purposes, the MIR periodicities for two geoduck species ( Panopea generosa and Panopea globosa ) were modeled to identify the periodical pattern of growth increments in the shell. This model identified an annual periodicity for both species but described different temporal patterns. The proposed procedure can be broadly used to objectively define the timing of the peak, the degree of symmetry, and therefore, the synchrony of band deposition of different species on the basis of MIR data.