Focus article
“All models are wrong but some are useful”: A response to Campbell's
comment on estimating Mytilus californianus shell size
Gerald G. Singh
a
, Iain McKechnie
b, c, *
, Todd J. Braje
d
, Breana Campbell
d
a
Institute for Resources, Environment and Sustainability, University of British Columbia, Vancouver, BC, V6T 1Z4, Canada
b
Department of Anthropology,1218, University of Oregon, Eugene, OR, 97403, USA
c
Department of Archaeology, Hakai Institute, Simon Fraser University, Burnaby, BC, V5A 1S6, Canada
d
Department of Anthropology, San Diego State University, 5500 Campanile Dr., San Diego, CA, 92182-6040, USA
article info
Article history:
Received 25 June 2015
Received in revised form
26 August 2015
Accepted 31 August 2015
Available online 3 September 2015
Keywords:
Marine ecology
Morphometric regression
Historical ecology
Zooarchaeology
Size estimation
Allometry
Shellfish
abstract
Developing accurate methods for estimating animal body size from fragmentary remains is a key focus of
zooarchaeological research. Here, we respond to Greg Campbell's critique regarding methods we recently
developed to predict Mytilus californianus shell size from archaeological contexts using linear regression.
We show that Campbell's assertion that our regressions are “inaccurate” is incorrect and mis-
characterizes the premise and results of our study. We appreciate that Campbell draws attention to the
importance of allometry but do not agree that archaeologists must first describe ontogenetic size re-
lationships before developing a practical method for size prediction in zooarchaeology. We further argue
that pooling data from broad geographic scales incorporates diverse growing conditions into a predictive
model to account for the uncertainties across archaeological time scales. We conclude by highlighting the
difference between zoological and zooarchaeological research goals and emphasize that the precision
required for a particular analysis can create a mismatch between analytical expectations and archaeo-
logically applicable research questions.
© 2015 Elsevier Ltd. All rights reserved.
1. Introduction
It is an accepted truism that “all models are wrong but some
models are useful” (Box, 1978:2). In a series of papers, we devel-
oped a method that provides a useful estimate of total mussel shell
size from archaeological fragments (Campbell and Braje, 2015;
McKechnie et al., 2015; Singh and McKechnie, 2015). Within the
range of sizes considered, our models work well as shown by the
fits of the data to the regression lines. Gregory Campbell's e
henceforth GC's e comment (2015) focuses on what he considers to
be faulty methods for estimating Mytilus californianus shell size.
Unfortunately, GC's criticisms reflect mischaracterizations about
the premise and results of our study. We find his narrowly focused
comment worrisome, not just because he performs statistical
procedures inappropriately but because of a mistaken belief that
archaeologists must first describe the precise morphological
growth relationships before developing a method for size
prediction in zooarchaeology. Here, we respond to the “assump-
tions” he presents in his comment and reflect more generally on
differences between zoological and zooarchaeological approaches
to size estimation.
1.1. GC's assumption #1: organisms' dimensions have straight-line
relationships
We do not dispute the importance of allometry (the relationship
of body size and shape) as a foundational method for under-
standing how organisms develop. While GC may be correct in his
claim that the relationships between particular umbo measure-
ments (and other measurements) and shell length are allometric,
these specific relationships have not been found in the M. cal-
ifornianus literature and our studies were not seeking to investigate
whether this is the case. GC is right to note that Singh and
McKechnie (2015) choose to present a non-linear allometric func-
tion for meat-weight predictions. However, we did this because
length-weight regressions have been clearly shown to follow this
type of relationship across multiple mussel species (Rodhouse et al.,
1984; Zotin and Ozernyuk, 2004). Yet with respect to shell size,
isometric and even linear relationships have also been observed in
* Corresponding author.
E-mail addresses: geraldsingh@gmail.com (G.G. Singh), iainm@uoregon.edu
(I. McKechnie), tbraje@mail.sdsu.edu (T.J. Braje), breana@scic.org (B. Campbell).
Contents lists available at ScienceDirect
Journal of Archaeological Science
journal homepage: http://www.elsevier.com/locate/jas
http://dx.doi.org/10.1016/j.jas.2015.08.021
0305-4403/© 2015 Elsevier Ltd. All rights reserved.
Journal of Archaeological Science 63 (2015) 160e163