The paper argues that the natural mortality rate for
Atlantic menhaden used in the most recent benchmark stock assessment, M=1.17,
was much too high, and that a rate of M=0.50 was probably a more realistic
estimate, noting that
“This estimate was substantially lower than the value
currently adopted in the Atlantic menhaden stock assessment and was consistent
with previous assessment results, species life-history characteristics, and
observed longevity.”
If the paper’s conclusions are correct, they
would have very serious implications for Atlantic menhaden management, as a
sharply reduced natural mortality rate would, once input to the population
model, result in a significant reduction in estimates of Atlantic menhaden
fecundity (the overall number of eggs produced, which the menhaden assessment
uses in lieu of spawning stock biomass to gauge menhaden abundance) and a
corresponding increase in the fishing mortality rate. Stock status would almost
certainly change from the current “not overfished” and “not experiencing
overfishing” to “overfished” and “experiencing overfishing,” and that
change would justify the Atlantic States Marine Fisheries Commission’s Atlantic
Menhaden Management Board slashing menhaden landings and placing significant
new restrictions on the menhaden fishery.
Thus, it’s not at all surprising that the various menhaden
advocacy groups are calling attention to the paper, which effectively supports
their claims that the Atlantic menhaden population is in trouble. We
see a group that calls itself “The Forage Fish Campaign” alleging that
“Atlantic menhaden are likely collapsing after years of
overharvest,”
and other advocacy groups making similar assertions. For them, the Ault paper is pretty much a
dream come true.
So what does the Ault paper actually say?
Its primary approach deals with a coastwide mark-recapture
study—that is, a tagging study—undertaken by the National Marine Fisheries
Service during the years 1966 through 1971, which placed magnetic tags in more
than one million menhaden, and the efficiency of the magnets used to detect
those tags in fish caught by the menhaden reduction industry.
Inefficient magnets, which failed to detect many of the tags
present in recaptured menhaden, would in theory lead to the false conclusion
that a larger proportion of the tagged fish succumbed to natural mortality,
either eaten by a predator or, perhaps, being a part of one of the mass
die-offs that occur from time to time, when too many menhaden crowd into a
harbor or back bay, then die when a falling tide, and perhaps elevated water
temperatures, leave them with too little oxygen to survive.
Such false conclusion would then lead to an inaccurate stock
assessment for, as the paper notes,
“Accurate mortality estimates are essential because stock
assessment outcomes, including estimates of biomass, fishing mortality,
biological reference points and sustainable harvest levels, are highly
sensitive to assumptions regarding natural mortality.”
When the benchmark stock assessment adopted the natural
mortality estimate of M=1.17 in 2020, a level that, the Ault paper states,
“represents a 2.3-fold increase relative to the value of
M=0.50 yr-1 used in the previous [2015] benchmark assessment and was
approximately 14 standard deviations above the mean of more than a dozen
previously published estimates, as well as natural mortality values used in
recent U.S. and international stock assessments [citations omitted]”
that high estimate of natural mortality
“contributed to the [benchmark assessment’s] conclusion that
Atlantic menhaden spawning biomass exceeded 80% of unfished levels.”
It also led to the benchmark assessment’s conclusion that
Atlantic menhaden fecundity was above its target level, while fishing mortality
was below its target, which is about as favorable a conclusion as a stock
assessment can reach.
Unfortunately, it was almost certainly the wrong conclusion,
as we learned when
the 2025 Atlantic Menhaden Stock Assessment Update was released about
one year ago. In presenting its findings,
it stated that
“The only new change for this update assessment is inclusion
of a new vector of natural mortality based on a revised analysis of the
historical tagging data that was completed by the M Working Group.”
But that change was important. After taking another look at the magnet
efficiency question, the biologists performing the assessment settled on a
lower estimate of natural mortality, M=0.92.
That, in turn, was enough to substantially reduce the estimate of
fecundity, and increase the estimated fishing mortality rate. As a result,
the status of the stock changed “not overfished” and “not experiencing
overfishing,” with fecundity above the target level and fishing mortality below
target, to the same “not overfished” and “not experiencing overfishing,” but
with both fecundity and the fishing mortality rate somewhere between their
target and threshold levels. In the case
of fecundity, that level was only about 5% above the threshold that defines an
overfished stock.
Now, the Ault paper argues that the stock assessment update
still significantly overestimated the natural mortality rate, saying
“the revised analysis continued to rely on aggregated,
landings-weighted estimates of magnet efficiency derived from plant-test
experiments. Magnet efficiencies varied
substantially among plants and over time, ranging from 0% to 100%, indicating
highly heterogeneous, strongly non-normal distributions of tag-detection
efficiency that are not adequately characterized by simple averages. Because tag-recovery probabilities directly
influence estimation of natural mortality, fishing mortality, and catchability,
the use of aggregated efficiency values may obscure important spatiotemporal
variation and contribute to parameter confounding. These observations suggested that treating
magnet efficiency as a fixed external input could contribute more uncertainty
to mortality estimation than the movement or catchability components of the
model. Consequently, despite reducing
the estimate of natural mortality from M=1.17 to M=0.92 yr-1, the
revised estimate remained higher than values suggested by Atlantic menhaden
longevity, life-history characteristics, and previous stock assessments.”
With those issues in mind, the researchers Ault and Luo
began recalculating the natural mortality rate, using two different approaches,
one based on the menhaden’s life history, one based on a reexamination of the
tagging data.
The issue of magnet efficiency was a large part of the
latter reexamination. The paper explains
that
“Prior to the mark-recapture study, high-strength magnets
were placed throughout the processing lines of participating reduction plants
to remove metal debris from the fish meal and prevent damage to processing
equipment. The tagging study assumed
that tagged and untagged fish were fully mixed within the population prior to
capture. Following harvest by commercial
purse-seine vessels, fish landings were delivered to reduction plants for
processing, where fish bearing implanted ferromagnetic tags could be detected
and recovered by the plant magnets.
Consequently, the probability that a tag was recovered and reported
depended directly on the efficiency of the plant magnet system. Because magnet efficiencies varied among
plants among plants and through time, recovery probabilities were imperfect and
heterogeneous. Accurate estimation of
magnet efficiency was therefore essential because recovery probabilities
directly influence estimates of survival, fishing mortality, and natural mortality
in mark-recovery analyses. [citations
omitted]”
Much of the paper was dedicated to the models used to determine
magnet efficiency and thus a better estimate of natural mortality; they were,
as one might expect, highly reliant on statistical analysis and other elements
of mathematics that probably need not be discussed in detail here.
However, the discussion of the two analytical approaches
taken by the researchers is worth examining.
“Model-based estimates of natural mortality should therefore
be evaluated in the context of independent biological evidence, including
observed longevity and age structure.
Liljestrand et al (2019) did not reconcile their mortality estimate with
the documented age structure of Atlantic menhaden. Even after corrections reduced the estimate
to M=0.92 yr-1, the implied maximum lifespan remained only
approximately 5-6 years under natural mortality alone. This prediction is inconsistent with
historical observations of Atlantic menhaden attaining ages of 11-12 years in
fishery and survey samples. Discrepancies
between model-derived mortality estimates and independently observed longevity
warrant careful evaluation, as natural mortality estimates should be both biologically
plausible and statistically supported.
“Our reanalysis produced a natural mortality estimate of
M=0.50…, less than half the original estimate reported by Liljestrand et al (2019). After correcting the input data, the principal
source of this difference was not the fishing-effort data themselves but the
methodological treatment of tag-recovery efficiency. The resulting estimate is consistent with
observed longevity, life-history characteristics, and previous stock assessment
results for Atlantic menhaden, making it more biologically plausible than the
substantially higher estimates adopted in recent assessments. Given the strong influence of natural
mortality on stock assessment outcomes, these findings have important
implications for future stock assessments and the biological reference points,
stock status determinations, and fisheries management decisions that depend on
them. [citations omitted]”
It is certainly a compelling argument, and as noted at the
start of this essay, the menhaden advocacy community has been making some
effort to have the Ault paper deemed the definitive analysis—what in a federal
context might be considered the “best scientific information available”—with respect
to the Atlantic menhaden’s natural mortality rate.
But in doing so, the advocacy community might be falling
victim to a collective sort of confirmation bias, given that the Ault paper supports
their long-held contentions about the health of the menhaden stock. For while, in the Ault paper, we have a peer-reviewed
study that makes an argument for a natural mortality rate of M=0.50, we also
have a peer-reviewed stock assessment that rejects the essential premises and
findings of the Ault paper, and sets the natural mortality rate at M=0.92.
At first glance, that might seem unlikely, given that the
Ault paper was only recently published.
But if we look at the 2025 stock assessment update, we will find that
those premises and general findings had already been established in 2023,
although not in their final form.
Thus, the assessment update tells us,
“Ault et al (2023) submitted a working paper to the Atlantic
menhaden [Stock Assessment Subcommittee] and the Ecological Reference Points
Work Group (ERP WG) that re-analyzed the historical tagging data and produced
an estimate of M=0.56, significantly lower than the M=1.17 reported by
Liljestrand et al (2019).
“However, Ault et al (2023) had used a different subset
of the data and a different approach to handling the parameters, which made
direct comparisons with Liljestrand et al (2019) difficult. The [Stock Assessment Subcommittee] formed a
working group to review the datasets and methods in consultation with the
primary authors to determine the best estimate of M for use in the Atlantic
menhaden stock assessment. The M
[Working Group] and the [Stock Assessment Subcommittee] determined that the
main cause of the difference in the M estimate was the handling of the magnet
efficiency parameter, which was equivalent to the tag reporting rate in
conventional tagging models. The M
WG and SAS found that Liljestrand et al (2019) had overestimated the magnet
efficiency rate in their analysis, but did not agree with the stepwise
estimation approach proposed by Ault et al (2023) to estimate this parameter. In the end, the M WG and SAS recommended a
revised estimate of M=0.92 from the tagging study, based on the corrected
magnet efficiency rate and updated effort and landings datasets, which was
lower than the value used in the 2020 benchmark, but higher than the value estimated
from Ault et al’s (2023) method.
[emphasis added]”
Thus, it appears that the conclusions reached in the Ault paper
do not represent a completely new approach to estimating Atlantic menhaden natural
mortality, bur rather an approach that was considered and, after consultations
with Dr. Ault, rejected by the Stock Assessment Subcommittee that prepared the
assessment update.
That context matters, because such past consideration
suggests that the Ault paper does not reflect a new revelation that necessarily
resets the natural mortality estimate, but rather an approach that was
considered and ultimately rejected before the 2025 assessment update was
finalized.
That doesn’t mean that the ultimate conclusions in the Ault
paper are wrong, but it does mean that Ault and Luo are offering an alternative
estimate of M which does not automatically trump the M=0.92 estimate that was
used in the 2025 assessment update; Ault and Luo must still convince the Stock
Assessment Subcommittee that their estimate is the correct one.
Having said that, an argument can be made that using the
Ault-Luo estimate of M=0.50 would be an appropriately precautionary action
until further research either confirms or disproves its accuracy. However, deeming the M=0.50 estimate to be
the best scientific information available would be premature.
So where does that leave us?
The Ault paper was a comprehensive reanalysis of the data
used to calculate natural mortality for Atlantic menhaden. The arguments made in the paper are robust,
and make a logical case for the lower natural mortality estimate.
However, the Ault paper should not be taken as Gospel.
Its core concepts have been considered and ultimately
rejected by the Stock Assessment Subcommittee, for reasons stated in the 2025
assessment update. Unless and until its
authors can successfully refute the Stock Assessment Subcommittee’s criticisms,
the Ault paper should not be used as a primary driver of menhaden management
measures, although its findings may well inform the discussion and debate about
menhaden management issues.
It is a paper that seeks to shed light on the natural
mortality question, but it does not represent the final word on the subject. More research still needs to be done.
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