PAPER
ANTHROPOLOGY
Louise Corron,
1
Ph.D.; Franc ßois Marchal,
1
Ph.D.; Silvana Condemi,
1
Ph.D.; Kathia Chaumo ^ ıtre,
1,2
Ph.D., M.D.; and Pascal Adalian,
1
Ph.D.
A New Approach of Juvenile Age Estimation
using Measurements of the Ilium and
Multivariate Adaptive Regression Splines
(MARS) Models for Better Age Prediction
ABSTRACT: Juvenile age estimation methods used in forensic anthropology generally lack methodological consistency and/or statistical
validity. Considering this, a standard approach using nonparametric Multivariate Adaptive Regression Splines (MARS) models were tested to
predict age from iliac biometric variables of male and female juveniles from Marseilles, France, aged 0–12 years. Models using unidimensional
(length and width) and bidimensional iliac data (module and surface) were constructed on a training sample of 176 individuals and validated
on an independent test sample of 68 individuals. Results show that MARS prediction models using iliac width, module and area give overall
better and statistically valid age estimates. These models integrate punctual nonlinearities of the relationship between age and osteometric vari-
ables. By constructing valid prediction intervals whose size increases with age, MARS models take into account the normal increase of individ-
ual variability. MARS models can qualify as a practical and standardized approach for juvenile age estimation.
KEYWORDS: forensic science, anthropology, juvenile age estimation, MARS models, ilium, biometrics
Anthropologists can choose from an array of methods to esti-
mate age from juvenile remains (e.g. 1–10). These methods rely
on various dental and skeletal development indicators expressing
growth and/or maturation changes that occur between early fetal
life and early adulthood. It is recognized that dental development
is the most accurate age indicator (11–13), followed by bone
growth (accessed via bone measurements, especially long bones)
and bone maturation (ossification sequences) (14,15), with the
reservation of possible sample/population specificities (13,16).
Since the earliest studies on dental and skeletal growth and matu-
ration, methodological precepts have come to change the standards
required to construct valid age estimation methods. Moreover, a
large number of articles have tested and compared methods, high-
lighting the possible limitations of method construction or applica-
tion (17–19). Ferembach in 1979 (20), the Arbeitsgruppe
Forensische AltersDiagnostik (AGFAD) study group in the early
2000s (21), and several other authors more recently (22,23) have
emitted recommendations for age estimation method construction
in physical anthropology. They insist on respecting several statisti-
cal prerequisites: sufficient reliability, precision, and accuracy of
the estimates and recommend these parameters be mentioned
explicitly in publications, along with other details about sample
composition: adequate sample size; proven age of the subjects;
even age distribution; clear definition of the examined features;
data on the reference population regarding genetic/geographic ori-
gin, socioeconomic status, and state of health (depending on
authors); mean value and range of values for each examined fea-
ture; and a detailed description of the methods used. Verifying
residual (estimated age minus real age) homoscedasticity is rarely
mentioned, but it could be added to this long list of prerequisites
because it is the condition for constructing valid prediction inter-
vals (PIs) of the estimates. Even though age estimation methods
almost systematically provide PIs, homoscedasticity of the residual
values is rarely explicitly mentioned.
It is a fact that most juvenile age estimation methods used by
anthropologists present several biases, in both method construc-
tion and application. This is summarized by Stull and collabora-
tors (24) who separate these biases into two categories:
misapplication and the use of inappropriate samples. The “use of
inappropriate samples” leads to the inability to obtain correct
age estimates when using a method developed on a different
population with intrinsic variability and secular trends, affecting
the rates of growth and development. Added to the risk of “mis-
application,” it translates into the current trend of constructing
and using either “population-specific” methods (23,25,26) or
“non-population-specific” methods (27), the choice of which is
left to the authors. Another important and problematic limitation
to practical method application is the lack of prediction intervals
that provide the reliability of an age estimate (24). The fact that
extant research is still actively going proves that sufficient relia-
bility, accuracy, and precision have not yet been reached where
1
UMR 7268 ADES – Aix-Marseille Universit e – EFS – CNRS, Facult e de
M edecine de Marseille Secteur Nord, 51 Boulevard Pierre Dramard, Mar-
seille Cedex 15 13344, France.
2
Service de Radiologie et Imagerie M edicale, CHU Nord, Assistance Pub-
lique des H^ opitaux de Marseille, Chemin des Bourrely, Marseille Cedex 20
13915, France.
Received 11 May 2015; and in revised form 9 Feb. 2016; accepted 6 Mar.
2016.
1 © 2016 American Academy of Forensic Sciences
J Forensic Sci, 2016
doi: 10.1111/1556-4029.13224
Available online at: onlinelibrary.wiley.com