fishy numbers : an inquiry

Was the 2021 Sitka herring fishery built on irrelevant data? Was a slaughter of older herring the result? How risky could that be, anyhow?

Introduction

This is an exploration of apparent implications of ADFG's decision to forecast the weight-at-age of Sitka Sound herring based on 2017 and 2018 spring commercial test samples rather than relevant data. What does it mean if the herring are smaller-at-age than ADFG is recognizing, and is it likely that that's the case?

This report has been updated (most recently on April 14th) for improved accuracy and clarity; core concepts have not been significantly altered. A static version of this report is also available as a  .pdf document here. 

I am writing this to raise pressing questions about certain elements of ADFG's arcane herring management methodology as it applies to this year's fishery.

ADFG’s model is not being fed data of adequate timeliness and quality, This year, the situation was unusual and risky enough that some scrutiny of ADFG’s management is necessary. Although I am a layperson, I believe raising the following points of question is merited.

First, in the Background section I will recap: how the department gauges biomass, average weight-at-age, and fecundity; what those numbers have to do with one another; and what they have to do with the forecasts. In later sections I will describe why this year's forecast was unusually speculative, and will point to in-season management implications of erroneous forecasts. From there, I will share some of the signals in current and historic data which indicate that risk that average weights-at-age, proportions, and biomass may have been quite a bit different than represented, with major implications for herring population age structure.

The Problem

I've identified two broad areas of vulnerability in the model when it comes to accurately describing this year's conditions:

  1. ADFG is using inappropriate data (2017&2018 commercial test samples) when more appropriate and less biased data (2019&2020 active spawning cast net samples) is available from which to assess weight-at-age and proportion by age. The newer data suggests much lower weight-at-age than ADFG forecast for this year. This has substantial implications regarding the forecast’s understandings of the population structure and the resulting commercial fishing practices. It means that for herring greatly over 100g, substantially more of the herring harvest could be from the older cohorts than what ADFG is expecting. If true, this year's fishery may have imperiled the diverse age structure that is widely acknowledged as necessary for population resilience.
  2. The fecundity estimates are imprecise year to year at the best of times and using outdated (2005) data as the foundation of the assumed weight:fecundity relationship compounds this difficulty. The effect of this on forecasting accuracy can become capriciously wild when an outdated fecundity estimate is paired with inaccurate weight-at-age information. At that point, the assumed age:weight and weight:fecundity relationships become substantially unfounded, with considerable implications for forecast biomass and weight-at-age.

Background

If you know what the ADFG chart on the right means and how the numbers are derived, you can skip ahead using the navigation headers above.

In order to understand this issue, it is important to first get a sense of how the forecast numbers are derived. In this first section, I will do my best to explain some key pieces, but here are a few recent ADFG documents that can give you further background on the current status of ADFG herring research and that I'll be referencing along the way:

    Background: Biomass

    Sitka Sound is enjoying something of a herring boom right now thanks to the very-dominant cohort of herring hatched in 2016. Now in 2021 those herring are age-5 and there are a lot of them - in Sitka and up and down the coast.

    To the right is the department's estimated biomass for 2021 at 210,453 tons, up steeply from the estimate of 64,343 two years ago. Inset is an indicator of the forecast percentage composition by age as derived from cast net samples, showing that 86% of the Sitka Sound herring are forecast to be age-5 (class of 2016) this year.

    Background: Egg Deposition Surveys

    That biomass estimate isn't reached by any direct counting of herring. Instead, the centerpiece of the ADFG herring study is the annual estimate of egg deposition in Sitka Sound, which is arrived at by monitoring Sitka Sound for spawning via aerial surveys and then conducting dive samples from which to extrapolate spawn density for different sections, and ultimately the whole area.

    In 2020, ADFG reported 23 trillion eggs in Sitka Sound- more than the department has ever registered before.

    From that number, the estimated spawning biomass of herring for the year can be calculated. Towards answering the question of how many herring it takes to produce 23 trillion eggs, the Department needs to have age/sex/size samples that indicate the weight-at-age (size on average for each age-class), proportion-at-age (what proportion of the biomass consists of the different age classes), and also needs an established relationship between weight and fecundity.

    Background: Population Sampling

    The Department's forecasts are typically issued through one or more of three different methods of sampling herring each year: active spawning cast nets, commercial purse seine test sets in spring, and apurse seine test fishery in winter. The last time all three types were done in one year was 2016. You can see the form of the sample results on the chart on the right, which are published in the annual ADFG  Stock Assessment Survey .

    Background: Fecundity

    Herring fecundity is highly variable year to year but the biggest determining factor is weight - larger herring produce vastly more eggs than smaller herring.

    ADFG has not done a new fecundity study or changed the weight:fecundity relationship since 2005.

    Before that, there were studies in 1971, 1988/89, and 1996. Each of those classes of fish was not nearly like the last.

    The image to the right comes from the 1996 study, and illustrates the very strong link between body weight and fecundity.

    Assumed fecundity is core component of how ADFG understands and measures herring populations. The four herring fecundity studies done in Sitka Sound have yielded a diversity of results and there is no reason to believe that 2005 data should be relevant today. It is possible that the 2005 assumptions will function well in many years, but years will come along - possibly quite often - that just don't match up at all, undermining the possibility of routinely accurate functioning of the model.  

    Skewed Samples

    Each year, the Stock Assessment Survey summarizes the age/weight/length survey results from the year via cast net samples (taken during active spawning - good for age proportions, bad for weight measurements), commercial catch samples (generally taken immediately before spawning), and winter seine samples (timing varies, but these samples are often from the month or two before spawning). Here are the results from 2012-2019 for reference:

    Summaries of age, weight, and length for the Sitka Sound herring stock 2012-2019

    You may have noticed that the commercial purse seine samples (from test fisheries) often come in older and heavier-at-age than the active spawning cast net samples and the winter test fishery samples.

    To the right is a visualization of the weight-at-age from different sample types (from left to right: active spawning cast net -- spring commercial sets -- winter seine sets) from 2011-2019.

    Note that there were no commercial samples in 2019 and 2020 (there was no fishery due to unmarketable small herring) and no winter seine samples since 2016, reducing the available reference points. Cast net samples were collected in 2020 but, unusually, the data has not been shared publicly by ADFG yet.

    This chart shows the average weight at age by sample type over the 2011-2016 time span. It is clear that the commercial samples are capturing data about prime fish rather than about population norms. One explanation for some of this difference is the presence of spawned out (and thus lighter) fish in the cast-net samples - but that doesn't reasonably account for the entire difference in sampling methods.

    To the right is a primitive analysis of the average percentage-at-age for the three sampling methods during the years that the methods were used side by side.

    The results are striking and even intuitive; the commercial fleet is looking for larger herring, and so their sample results are bound to be higher than population averages.

    Note the easy avoidance in commercial samples of age-3 and age-4 fish in favor of older herring, age-8+ fish in particular.

    This is also a temporal pattern - indigenous science has long recognized that older herring spawn first. Since the commercial fishery is interested in fishing before spawning has begun, those samples will naturally be skewed towards older herring. We can see this pattern in the active spawning cast net samples from 2019 and 2020 (data provided to me by ADFG via correspondence).

    The chart on the right is derived from 2019 sample data - the solid blue line indicates the proportion of age 3+4 in the samples from early in the season (left) to later in the season (right); the solid orange line does the same herring aged 5 and older. Each line is paired with a trend-line.

    As you can see, the samples yielded more young fish and fewer older fish as the season went on.

    Here is a similar chart from the 2020 active spawning cast net samples showing a similar pattern.

    Until recently, ADFG arrived at preseason weight-at-age estimates by balancing different sources, but quietly stopped doing winter test fisheries in 2016 and does not rely on cast net data for weight results, given the presence of spawned out fish. ADFG's current practice is to strongly privilege the results of samples from the commercial fishery, even though the data is more likely to misrepresent population structure and weight-at-age. By increasingly emphasizing sample sources that skew toward larger fish, are we getting a distorted analysis of age structure and disproportionate fishing of older fish?

    ADFG is perfectly aware of the high-grading pattern present in the commercial sets, as you can see in this excerpt from the Stock Assessment Survey: "benefits of using data from cast net samples are that they provide a more complete and consistent time series and bias is expected to be lower than for fishery-dependent data that may be influenced by targeting larger fish."

    Weight-at-age for '19/'20

    To recap: ADFG is using outdated 2017/2018 commercial catch samples to guide forecasting and management decisions, even though there are 2019 and 2020 cast net samples available to help us understand this present herring run that has a notably unusual population structure.

    What does that mean for the herring? Let's look at those 2019 and 2020 samples.

    Pictured here is the result from the spring cast net survey in 2019 when ADFG first became aware of the dominant 2016 age class. The sample indicates that the new recruit class came in small but mighty, at 76% of the whole population but with the 7th smallest weight-at-age in departmental records. Meanwhile, the rest of the age spectrum also has weight-at-age at the very low end of historic measures.

    ADFG hasn't publicly released the data for 2020 yet, but it has shared two charts, which can give us a good sense of things. This first chart shows that the proportion of class-of-2016 herring may actually be 90% of the biomass, up a little bit from prior estimates.

    And from the final points on this chart that Kyle Hebert shared at the preseason meeting - currently the only source of data on 2020 herring - it looks like age 3 (from 2017) herring came in at maybe 62g last year, age 4 (2016) herring at 83g, age 5 (2015) at 96g, age 6 (2014) at 110g, age 7 (2013) at 109g, and age 8+ (2012 and prior) at 125g. This chart indicates that herring haven't been as small-at-age as they were last year since the early 1990's.

    Now let's look at the 2020 forecast again, keeping in mind that it is the same forecast (derived from 2017 and 2018 commercial samples) that is being used this year.

    This forecast was used last year and is being used again this year. Was it accurate in describing the herring encountered in 2020?

    Let's see...

    Here are those 2020 cast net numbers in comparison with the forecast.

    As you can see, by using outdated commercial data, the department over-forecast each age class, but particularly the new age-3 recruits and the older fish.

    Why is ADFG using the same stale, barely relevant forecast again this year as if it reflects reality?

    What if we look at these herring class by class?

    Those 2014 herring

    Indicator: 2021 Test Sets

    One of the strange features of the commercial samples this year has been a consistent trend towards a male-dominated spawning biomass; after 19 commercial test-sets (March 21-March 27, 2021), the average set has yielded just 41% female herring. That's into the realm of unusual and implies lower fecundity for the average herring.

    The average weight from the commercial test sets is also very low, at 107g. The effort to find samples of that quality has been higher than usual as well, suggesting intense selectivity of test set locations and consequent high-grading.

    If the commercial fleet has struggled to find populations of large, mature female herring this year, this further suggests that the cast-net samples in 2019 and 2020 offer more representative data about this herring population than the commercial sets from 2017 and 2018 do; this should be expected, given that the majority of herring in Sitka Sound presently are not represented in the 2017 and 2018 samples.

    Implications

    What would the implications be of using the 2020 cast net sample for the biomass and weight-at-age forecasts instead of the 2017/2018 commercial data? Doing so suggests an average herring weight at around 99g or so, rather than the current 112g forecast, with 90% of herring coming in in a clump around 96g.

    In-season Management Implication

    The industry has indicated a marketability goal of catching 110g herring. If the herring are small-at-age compared to the forecast and if the dominant age-5 fish come in closer to an average of 96g instead of 109g... then when a set comes in with an average of 107g, that means that that set has probably caught a very disproportionately high number of age-6+ herring. With a massive commercial quota in play, this pattern if extended across the whole season and then again next year, could truncate the age structure of Sitka Sound herring down to one super-dominant age class and hardly anything else.

    What does that do for resilience?

    Biomass Implication

    If the average weight-at-age is lower than currently estimated, and if that's been true for the last few years, then that actually - by my understanding - implies a higher total biomass figure, since the smaller the herring are, the more of them are required to produce the 23.065 trillion eggs at the heart of the biomass estimate. To illustrate how central the accurate assessment of weight-at-age is for the biomass model, consider how different the biomass estimate would be with the following three estimates. According to the current ADFG fecundity:weight relationship (from 2005):

    • If average weight for 2020 was 112g, it would take 255,782 tons of herring to produce 23 trillion eggs.
    • If average weight for 2020 was 97g, it would take 303,514 tons of herring to produce 23 trillion eggs
    • If average weight for 2020 was 80g, it would take 316,032 tons of herring to produce 23 trillion eggs.

    What next?

    If these arguments are valid, there are a few things that ADFG needs to do before fishing again:

    1. ADFG needs to issue its rationale for why the 2005 fecundity data is appropriate for application to the dominant 2016 age cohort of herring and the generally low-condition herring currently in Sitka Sound.

    2. ADFG needs to issue its rationale for why 2017/2018 commercial data is seen as more valid than data from cast-net samples in 2019 and 2020

    3. ADFG needs to issue an explanation for how it accounts for bias in sample types, for why commercial test sets have become a favored metric, and for how it accounts for changes in sample methodology over time.

    4. ADFG really ought to indicate a clear recognition that in recent years and perhaps right now, the average herring is unusually small in Sitka Sound, making for a tough circumstance for commercial harvesters and subsistence users alike, even if total populations are relatively high. ADFG should acknowledge the need for older herring and protect the need for resilient and diverse herring stock structures as a fundamental component of subsistence food security and environmental health.