Eric J. Ward’s research while affiliated with National Oceanic and Atmospheric Administration and other places

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Publications (225)


Suggested “true” (mathematical) and statistical (generalized additive model [GAM]‐based) definitions of thresholds for the driver–response relationships used in the simulation analyses. The top row shows the true underlying relationship f(x). The black points mark the true threshold, and the insets show the relevant first or second derivatives (with threshold location indicated by a dashed vertical line). The bottom row shows an example of hypothetical GAM fits s(x) (black lines) to data (gray points) simulated from the true relationships and the derivatives of these fits (insets), with hypothetical CIs in gray. True thresholds are shown with black points (black dashed lines in insets), while statistically defined thresholds are shown in colored points (colored solid lines in insets). The gray horizontal lines in the derivative plots indicate where the value of the derivative is zero. See main text for justification of threshold definitions for each shape.
of steps for using simulated data to test the ability of generalized additive models to detect thresholds in driver–response relationships (see main text for details). The hockey stick relationship is shown here as an example; see Appendix S1: Figures S1 and S2 for the other relationships. The dashed vertical line in the middle two columns indicates the true threshold location. For panels in the third column, each gray line shows the results from a single jackknife iteration; the vertical purple lines are the threshold estimates corresponding to each iteration, with the mean indicated by the purple point. The points in column 4 are the mean estimates from 100 simulated datasets. We assumed low values of the response variable to be less desirable, making threshold estimates to the right of the true threshold (preceding the abrupt decline in the response) “risk‐averse” and estimates to the left “risk‐prone.” False positive rates of our threshold detection methods were evaluated using a linear null model (Appendix S1: Figure S3).
Effects of simulation parameters on threshold detectability. The x‐axis is the length of the simulated time series (left column), the approximate CV in the response variable (middle column), or the quantile of the driver in which the true threshold occurs (right column). Parameters not being varied were set to their default values; that is, time series length = 25, observation error = 0.55 (resulting in a response CV of ~0.2), and threshold quantile = 0.25. The y‐axis is the difference between a simulation's mean threshold estimate across jackknife iterations and the true threshold, in units of SDs of the driver. Positive values indicate the estimated threshold was on the “risk‐averse” side, while negative values indicate the estimated threshold was on the “risk‐prone” side. Sample sizes above the boxplots represent the number of simulations that detected a threshold, out of a total of 100 replicates. The top, middle, and bottom rows show results for sigmoidal (SG), skew (SK), and hockey stick (HS) driver–response relationships, respectively. Colors indicate the default definition used for calculating the threshold for each relationship.
Receiver‐operator curves showing effects of simulation parameters on threshold detectability. The x‐axis is the fraction of simulations (out of 100) that detected a threshold when the true relationship was linear. The y‐axis is the fraction of simulations that detected a threshold (regardless of the accuracy of the threshold estimate) when the true relationship was sigmoidal (SG), skew (SK), or hockey stick (HS), as indicated by the shape and color of the points. The effects of time series length, observation error (approximate CV), and threshold quantile are shown in the left, middle, and right columns, respectively, with symbol shading indicating the value of each parameter. Parameters not being varied were held at their default values. The dashed line is the 1:1 line, representing a random guess.
Effect of a missing covariate on threshold detectability. Values of this additional covariate were drawn from a normal distribution with a mean of 0 and a SD of 0 (no covariate effect), 0.5, or 1, indicated on the x‐axis. The relationship between the additional covariate and the response was either linear or exponential. Simulated data were fit with generalized additive models that included only the driver x as an explanatory variable (open circles/boxes) and again with models that included both the driver and additional covariate x2 (solid circles/boxes). The y‐axis shows the resulting difference between each simulation's mean threshold estimate and the true threshold, in units of SDs of the driver. Numbers indicate the number of simulations (out of 100) that detected a threshold. The top, middle, and bottom rows show results for sigmoidal (SG), skew (SK), and hockey stick (HS) driver–response relationships, respectively. Colors indicate the default definition used for calculating the threshold for each relationship. Other parameters: time series length = 25, threshold quantile = 0.25, observation error = 0.0275 (CV of ~0.01).

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Evaluating the robustness of generalized additive models as a tool for threshold detection in variable environments
  • Article
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March 2025

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256 Reads

A. Raine Detmer

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Eric J. Ward

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As global climate change and anthropogenic activities amplify widespread environmental variability, there is a strong need for management strategies that incorporate relationships between ecosystem components. This need is especially apparent when changes in environmental drivers cause threshold responses (abrupt, nonlinear changes) in ecosystems. Such ecological thresholds can provide useful reference points for management decisions. However, methods for detecting thresholds in empirical datasets may fail to find an existing threshold, find one that does not exist, or be biased in their estimates of threshold locations. These types of threshold misspecifications can result in high conservation and socioeconomic costs. Simulation studies can mitigate these risks by providing information about method performance across different scenarios. Here, we constructed a series of simulations to evaluate the robustness of threshold detection with generalized additive models (GAMs) when exposed to a variety of common, real‐world data characteristics. GAMs generally performed best when time series were long, observation error was low, thresholds were crossed fairly frequently, and covariates were accounted for. Over realistic ranges of values, observation error and frequency of threshold crossing had stronger effects on threshold detectability than time series length. Importantly, detectability was found to depend on both the shape of the threshold relationship and the statistical definition of the threshold location. As a case study, we applied this threshold detection method to an empirical dataset relating ocean temperature and the spatial distribution of Pacific hake (Merluccius productus), the largest volume fishery on the US West Coast. While the data suggest no statistical evidence for a threshold relationship, our simulations indicated approximately equal chances of true and false threshold detection given currently available data. Our results provide general guidelines for where threshold detection with GAMs is likely to be robust and are useful in the context of indicator development for ecosystem‐based management in a variable world.

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'surveyjoin': A Standardized Database of Fisheries Bottom Trawl Surveys in the Northeast Pacific Ocean

March 2025

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102 Reads

Fisheries management faces challenges due to political, spatial, and ecological complexities, which are further exacerbated by variation or shifts in species distributions. Effective management depends on the ability to integrate fisheries data across political and geographic boundaries. However, such efforts may be hindered by inconsistent data formats, limited data sharing, methodological differences in sampling, and regional governance differences. To address these issues, we introduce the surveyjoin R package, which combines and provides public access to bottom trawl survey data collected by NOAA Fisheries and Fisheries and Oceans Canada in the Northeast Pacific Ocean. This initial database integrates over 3.3 million observations from 14 bottom trawl surveys spanning Alaska, British Columbia, Washington, Oregon, and California from the 1980s to present. This effort standardizes variables such as catch-per-unit-effort (CPUE), haul data, and in-situ measurements of bottom temperature. We demonstrate the utility of this database through three case studies. The first develops a coastwide biomass index for Pacific hake (Merluccius productus) using geostatistical index standardization, comparing results to independent acoustic survey estimates. The second examines changes in the spatial distribution of groundfish species across marine heatwave and non-heatwave years, highlighting species-specific and community-level responses to warming events. The third applies spatially varying coefficient models to assess sablefish (Anoplopoma fimbria) biomass trends, identifying regional variability in increases in occurrence and biomass. Together, these case studies demonstrate how the surveyjoin R package and database may improve species and ecosystem assessments by providing insights into population trends across geopolitical boundaries. This database and package represent an important step toward offering a scalable framework that can be extended to include additional data types, surveys, and species. By fostering collaboration, transparency, and data-driven decision-making, surveyjoin supports international efforts to sustainably manage shared marine resources under dynamic environmental conditions.


The temporal extents of data used in this study. Solid horizontal lines show continuous annual sampling for Daphnia abundance and daytime depth (green), kokanee condition factor (blue), and kokanee depth (red). For kokanee depth, points show single years of data, open circle indicates years where day depth but not night depth was monitored. Hatched rectangles identify the 4 pulses of Daphnia by encompassing years when Daphnia concentrations exceeded 50 individuals per cubic meter.
Time series of Daphnia density (count per m³), kokanee body weight (g), and kokanee condition factor (Fulton's K, unitless). The Daphnia points are shaded darker in years exceeding 50 ind. per m³, which we used as a threshold to identify years with high Daphnia abundance.
Kokanee expression of diel vertical movement in relation to Daphnia abundance. Panels in top row share y‐axis of lake depth (meters below surface): (a) the vertical distribution of Daphnia shown as a locally estimated scatterplot smoothing (LOESS) model of standardized Daphnia density vs. depth. Yellow line shows model fit to daytime surveys (n = 22), blue line is for nighttime surveys (n = 9); (b) the daytime and nighttime depths of kokanee, segments show individual years, color indicates high (purple) or low (blue) Daphnia concentration; (c) the vertical patterning of water temperature (°C), shown as a LOESS model fit to pooled temperature‐depth data. Bottom row: (d) boxplots of nighttime water temperatures selected by kokanee salmon in years with low vs. high Daphnia concentration; (e) nighttime water temperatures selected by kokanee salmon as a function of their condition factor (Fulton's K), line shows fit of linear regression, point color indicates Daphnia density; (f) effects of nighttime temperature selection on the proportion of stomach capacity that can be digested overnight. Points identify temperature‐digestion conditions pertaining to this study, specifically, those for daytime fish depths during high Daphnia years (yellow), nighttime depths selected in low Daphnia years (light blue), and the nighttime depths selected in high Daphnia years (purple).
Cyclical prey abundance drives interannual variation in predator diel vertical movement

Diel vertical movement (DVM) is a widespread behavior in aquatic ecosystems, occurring across a variety of taxa and water bodies. The factors hypothesized to drive DVM can vary tremendously through time, yet little is known about how DVM changes at interannual timescales. Here we explore how cyclical prey abundance affects predator DVM. Higher consumption levels increase the optimal temperatures for growth in fishes. Thus, annual variation in prey abundance should generate corresponding variation in the depths and temperatures selected during predator DVM. In Crater Lake, one of the deepest and most oligotrophic lakes in the world, Daphnia zooplankton exhibit cyclical patterns of abundance. We compiled data spanning four distinct pulses of Daphnia and analyzed the response of their predator, kokanee salmon (Oncorhynchus nerka). Our data spanned 36 yr for Daphnia abundance and kokanee body condition, and 24 yr for kokanee DVM (measured by hydroacoustic surveys). Kokanee exhibited four pulses in body weight and condition that corresponded to the four Daphnia pulses, suggesting a strong bottom‐up response. Kokanee altered their DVM in years with Daphnia by occurring deeper during the day, where Daphnia were concentrated, and shallower at night, where temperatures were > 5°C warmer. By selecting warmer habitat in years with Daphnia, kokanee increased their estimated overnight digestion by ~ 25%. Understanding how predators alter DVM and other patterns of cyclical habitat use in response to variation in prey abundance has important implications for understanding predator–prey dynamics, which are highly sensitive to prey encounter rates and maximum consumption rates.


Advancing spatially explicit fisheries management with age-structured species distribution models

March 2025

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7 Reads

Many species distribution models (SDMs) incorporate external information, such as environmental or habitat features, yet the majority overlook age-specific information. Including age information may be particularly valuable for species exhibiting age-related spatial patterns driven by ontogenetic shifts, recruitment dynamics, and selective fishing pressures. Here, we develop an age-structured SDM framework using data from the west coast of the USA and concentrate on two species with distinct life histories: North Pacific hake (Merluccius productus) and sablefish (Anoplopoma fimbria). We validate our approach by forecasting age classes across survey locations in future years; these results highlight that forecast models have predictive skill (sablefish more so than hake) and the predictive ability is highest for older age classes. Using predictions of age-1 sablefish as an example, we demonstrate how our models may be used to forecast future bycatch risk in space, helping increase the efficiency of fisheries. Our framework is applicable to a wide range of survey types and platforms around the world and supports the development of spatially explicit management strategies and optimal allocation of fishing effort.


Figure 2. Standardized indices of July larval abundance on the normal scale (a and c) and natural log scale (b and d) for BSB Paralabrax nebulifer (top) and KB P. clathratus (bottom) in southern California, USA, 1 963-201 6. Shaded ribbons denote 95% confidence intervals.
Figure 3. Predicted distribution of BSB Paralabrax nebulifer standardized July larval abundance (natural log scale) in southern California, USA, 1 963-201 6.
Figure 4. Predicted distribution of KB Paralabrax clathratus standardized July larval abundance (natural log scale) in southern California, USA, 1 963-201 6.
Figure 5. Predicted distribution of July larval COG estimates (dots coded by decade) and corresponding kernel density quantiles (a and c), and the relationship between mean July SST ( • C) and July COG northings (latitudinal coordinates in km; b and d) for BSB Paralabrax nebulifer (top) and KB P. clathratus (bottom) in southern California, USA, 1 963-201 6. The shaded line in (d) depicts the positive linear relationship between larval KB July predicted COG northings and mean July SST, with temperature explaining 26% of the variability (glm: β = 12.061 ± 3.878 SE, R 2 = 0.26, P = .004).
Figure 7. SDM coefficient estimates of the effect of environmental co v ariates on CalCOFI July larval density in Time Period 1 (circles) and Time Period 2 (triangles) for (a) BSB Paralabrax nebulifer and (b) and KB P. clathratus in southern California, USA. Thick lines depict 95% confidence inter vals; inter vals not overlapping zero reflect positive or negative co v ariate effects. Temperature and zooplankton represent survey station data; surface temperature averaged over upper 10 m; Ocean Niño Index f or J une/J uly; NPGO = North Pacific Gyre Oscillation inde x f or J uly.
Environment-driven trends in larval abundance predict fishery recruitment in two saltwater basses

February 2025

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106 Reads

ICES Journal of Marine Science

Environmental and biological factors influencing fish larvae can drive fishery cohort strength, yet larval abundance is typically a better indicator of spawning biomass. Under a changing ocean, studies that explore the relationships between environmental variables, larval abundance, and fishery recruitment remain valuable areas for ongoing research. We focus on a popular, recreational-only, multispecies saltwater bass fishery (genus Paralabrax) whose population status and recovery potential are uncertain. We resolved Paralabrax spp. larval data to species over a 54-year period (1963-2016) and used species distribution models to (i) generate and test species-specific standardized indices of larval abundance as indicators of adult stock status and fishery recruitment and (ii) evaluate long-term spa-tiotemporal trends in their population dynamics relative to environmental variables and climate forcing. Contrary to initial hypotheses, species-specific larval abundance predicted future catches, with higher recent larval abundances suggesting potential for fishery recovery. Temperature, zooplankton biomass, and isothermal depth were important predictors of bass larval abundance, indicating these variables could also be valuable for predicting fishery recruitment and anticipating population change. Our findings paint a path for-w ard tow ards a more ecosystem-based fishery management approach for this important fishery and may serve as a template for data-or assessment-limited fisheries.


Conceptual diagram showing the data inputs and estimation model. The data required is spatially explicit temperature, oxygen, and fish catch, and any additional environmental covariates (e.g. depth). The model is a commonly used spatial generalized linear mixed model (GLMM), implemented using the R package ‘sdmTMB' (Anderson et al. 2024). This model is flexible to allow optional temporal, spatial, and spatio‐temporal random variation, as well as environmental covariates. We have added a feature within the standard GLMM estimation procedure that simultaneously estimates 1) a modified form of the metabolic index from temperature and oxygen data, and 2) a sigmoidal threshold function that estimates an asymptotic effect of oxygen on local abundance when oxygen becomes a limiting factor. Dashed line boxes indicate the estimated parameters.
Comparison of maximum likelihood estimates for (A) the temperature‐dependence of oxygen sensitivity parameter E0 from the derived metabolic index and (B) s50, a parameter in the sigmoidal threshold function, for each of the two data generating scenarios (a typical case, left and an unusual case, right) for the unconstrained model (estimated with no prior on E0 ) across all 250 data simulation iterations. The typical case represents a simulated species' temperature‐dependence of oxygen tolerance that is close to the median value from the empirical meta‐analysis for a generic teleost (E0 = 0.3), and the unusual case where a simulated species' temperature‐dependence of oxygen sensitivity deviates greatly from the expected value (i.e. the median of the meta‐analysis) and is roughly equal to the upper 90% of the meta‐analysis distribution (E0 = 0.7). The blue curves show a fitted kernel density smoother across the maximum likelihood estimates (MLEs) for all 250 simulated data iterations. The black dashed line shows the true parameter value specified to generate the simulated data, and the orange line shows the average maximum likelihood estimate across all iterations of simulated data. The upper left figure shows the interpretation of bias and precision. Bias is calculated as the difference between the average MLE and the true value, and precision is the standard deviation of MLEs across all iterations (proportional to the width of the blue kernel density). RMSE is the root mean squared error, which gives a single metric of accuracy.
(A) Maximum likelihood estimates of derived metabolic index parameter E0 and sigmoidal threshold parameter s50 for each simulated data set. (B) Estimated synergistic temperature–oxygen effect f(Φeco) from each model fit to each of 250 simulated data sets, with color indicating the value of the maximum likelihood estimate of the derived metabolic index Φeco parameter E0, and the dashed line the true effect specified in the simulated data. Root mean squared error, shown as the average RMSE ± SD of iterations, shows the mean and spread of accuracy across iterations. RMSE for the unusual species was similar, 0.032 ± 0.016. (C) The temperature and pO2 values from the data (points), and the combinations of temperature and pO2 where Φeco equals the s50 threshold value (black line). Grey shaded area depicts combinations below this threshold. (D) The estimated synergistic temperature–oxygen effect from two model fits, one high (E0 = 0.77, s50 = 3.03, yellow) and one low (E0 = 0.03, s50 = 1.48, blue) metabolic index and sigmoidal threshold parameters given a hypothetical 1.5°C increase in bottom temperature (compared to the true response at a base reference temperature of 6°C, dashed line) across a range of plausible observed oxygen values.
Comparison of maximum likelihood estimate for (A) the temperature‐dependence of oxygen sensitivity parameter E0 from the derived metabolic index and (B) s50, a parameter in the sigmoidal threshold function from each of the two data generating scenarios (a typical case, in the left column, and an unusual case, right). The typical case represents a simulated species' temperature‐dependence of oxygen tolerance that is close to the median value from the empirical meta‐analysis for a generic teleost (E0 = 0.3), and the unusual case where a simulated species' temperature‐dependence of oxygen sensitivity deviates greatly from the expected value (i.e. the median of the meta‐analysis) and is roughly equal to the upper 90% of the meta‐analysis distribution (E0 = 0.7). Model estimation included a prior constraint on E0 via a penalized likelihood. The blue curves show the fitted kernel density smoother across the maximum likelihood estimates (MLEs) for all 250 simulated data iterations (narrower densities translates to more precision). Gray curves show the prior distribution used to constrain E0 based on the empirical model. The black dashed line shows the true parameter value specified to generate the simulated data, and the orange line is the average maximum likelihood estimate across all iterations of simulated data.
Estimated marginal effect of the synergistic temperature–oxygen term f(Φeco) on fish density for (A) sablefish Anoplopoma fimbria and (B) longspine thornyhead Sebastolobus altivelis, for each Φeco calculated as the observed oxygen and temperature and estimated parameter E0. Color indicates the observed catch per area sampled, and the grey shaded areas indicate the values Φeco where fish would be restricted by low oxygen and high temperature.
Estimating a physiological threshold to oxygen and temperature from marine monitoring data reveals challenges and opportunities for forecasting distribution shifts

December 2024

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100 Reads

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1 Citation

Species distribution modeling is increasingly used to describe and anticipate consequences of a warming ocean. These models often identify statistical associations between distribution and environmental conditions such as temperature and oxygen, but rarely consider the mechanisms by which these environmental variables affect metabolism. Oxygen and temperature jointly govern the balance of oxygen supply to oxygen demand, and theory predicts thresholds below which population densities are diminished. However, parameterizing models with this joint dependence is challenging because of the paucity of experimental work for most species, and the limited applicability of experimental findings in situ. Here we ask whether the temperature‐sensitivity of oxygen can be reliably inferred from species distribution observations in the field, using the U.S. Pacific Coast as a model system. We developed a statistical model that adapted the metabolic index — a compound metric that incorporates these joint effects on the ratio of oxygen supply and oxygen demand by applying an Arrhenius equation — and used a non‐linear threshold function to link the index to fish distribution. Through simulation testing, we found that our statistical model could not precisely estimate the parameters due to inherent features of the distribution data. However, the model reliably estimated an overall metabolic index threshold effect. When applied to case studies of real data for two groundfish species, this new model provided a better fit to spatial distribution of one species, sablefish Anoplopoma fimbria, than previously used models, but did not for the other, longspine thornyhead Sebastolobus altivelis. This physiological framework may improve predictions of species distribution, even in novel environmental conditions. Further efforts to combine insights from physiology and realized species distributions will improve forecasts of species' responses to future environmental changes.


Win, lose, or draw: Evaluating dynamic thermal niches of northeast Pacific groundfish

November 2024

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249 Reads

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1 Citation

Understanding the dynamic relationship between marine species and their changing environments is critical for ecosystem based management, particularly as coastal ecosystems experience rapid change (e.g., general warming, marine heat waves). In this paper, we present a novel statistical approach to robustly estimate and track the thermal niches of 30 marine fishes along the west coast of North America. Leveraging three long-term fisheries-independent datasets, we use spatiotemporal modeling tools to capture spatiotemporal variation in species densities. Estimates from our models are then used to generate species-specific estimates of thermal niches through time at several scales: coastwide and for each of the three regions. By synthesizing data across regions and time scales, our modeling approach provides insights into how these marine species may be tracking or responding to changes in temperature. While we did not find evidence of consistent temperature-density relationships among regions, we are able to contrast differences across species: Dover sole and shortspine thornyhead have relatively broad thermal niche estimates that are static over time, whereas several semi-pelagic species (e.g., Pacific hake, walleye pollock) have niches that are both becoming warmer over time and simultaneously narrowing. This illustrates how several economically and ecologically valuable species are facing contrasting fates in a changing environment, with potential consequences for fisheries and ecosystems. Our modeling approach is flexible and can be easily extended to other species or ecosystems, as well as other environmental variables. Results from these models may be broadly useful to scientists, managers, and stakeholders—monitoring trends in the direction and variability of thermal niches may be useful in identifying species that are more susceptible to environmental change, and results of this work can form quantitative metrics that may be included in climate vulnerability assessments, estimation of dynamic essential fish habitat, and assessments of climate risk posed to fishing communities.


Estimated predictors in linear models predicting total correlation, TC. The R 2 from the model is >0.99. L is the number of loci and S is the number of offspring sampled.
Potential Benefits and Challenges of Quantifying Pseudoreplication in Genomic Data with Entropy Statistics

September 2024

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3 Reads

Generating vast arrays of genetic markers for evolutionary ecology studies has become routine and cost-effective. However, analyzing data from large numbers of loci associated with a small number of finite chromosomes introduces a challenge: loci on the same chromosome do not assort independently, leading to pseudoreplication. Previous studies have demonstrated that pseudoreplication can substantially reduce precision of genetic analyses (and make confidence intervals wider), such as FST and linkage disequilibrium (LD) measures between pairs of loci. In LD analyses, another type of dependency (overlapping pairs of the same loci) also creates pseudoreplication. Building on previous work, we explore the potential of entropy metrics to improve the status quo, particularly total correlation (TC), to assess pseudoreplication in LD studies. Our simulations, performed on a monoecious population with a range of effective population sizes (Ne) and numbers of loci, attempted to isolate the overlapping-pairs-of-loci effect by considering unlinked loci and using entropy to quantify inter-locus relationships. We hypothesized a positive correlation between TC and the number of loci (L), and a negative correlation between TC and Ne. Results from our statistical models predicting TC demonstrate a strong effect of the number of loci, and muted effects of Ne and other predictors, adding support to the use of entropy-based metrics as a tool for estimating the statistical information of complex genetic datasets. Our results also highlight a challenge regarding scalability; computational limitations arise as the number of loci grows, making our current approach limited to smaller datasets. Despite these challenges, this work further refines our understanding of entropy measures, and offers insights into the complex dynamics of genetic information in evolutionary ecology research.


Variability in somatic growth over time and space determines optimal season-opening date in the Oregon ocean shrimp (Pandalus jordani) fishery

September 2024

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17 Reads

Growth variability is a key contributor to the dynamic productivity of populations. Thus, better understanding and accounting for variation in growth can improve both tactical and strategic management. Using ocean shrimp (Pandalus jordani) from the U.S. West Coast as a case study, we demonstrate interactions between growth and optimal fishery opening dates. While the fishery opens on 1 April, industry often delays fishing to minimize catches of small shrimp. Understanding drivers of size-at-recruitment can help managers optimize opening dates and shrimpers plan their participation in this and other fisheries. Using three decades of fishery-dependent sampling, we built a spatially, temporally, and environmentally explicit Bayesian state-space model for shrimp size-at-age. Model outputs were then used to parameterize a revenue-per-recruit model and explore how variability in size-at-recruitment impacted optimal opening dates. Shrimp recruited at smaller sizes farther north. Delaying opening would likely benefit shrimpers in areas and years with smaller shrimp and higher fishing mortality. Broadly, choosing when to open the fishery is a complex decision requiring understanding of growth, but also recruitment, economic incentives, and life history.


cosimmr: an R package for fast fitting of Stable Isotope Mixing Models with covariates

August 2024

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440 Reads

The study of animal diets and the proportional contribution that different foods make to their diets is an important task in ecology. Stable Isotope Mixing Models (SIMMs) are an important tool for studying an animal's diet and understanding how the animal interacts with its environment. We present cosimmr, a new R package designed to include covariates when estimating diet proportions in SIMMs, with simple functions to produce plots and summary statistics. The inclusion of covariates allows for users to perform a more in-depth analysis of their system and to gain new insights into the diets of the organisms being studied. A common problem with the previous generation of SIMMs is that they are very slow to produce a posterior distribution of dietary estimates, especially for more complex model structures, such as when covariates are included. The widely-used Markov chain Monte Carlo (MCMC) algorithm used by many traditional SIMMs often requires a very large number of iterations to reach convergence. In contrast, cosimmr uses Fixed Form Variational Bayes (FFVB), which we demonstrate gives up to an order of magnitude speed improvement with no discernible loss of accuracy. We provide a full mathematical description of the model, which includes corrections for trophic discrimination and concentration dependence, and evaluate its performance against the state of the art MixSIAR model. Whilst MCMC is guaranteed to converge to the posterior distribution in the long term, FFVB converges to an approximation of the posterior distribution, which may lead to sub-optimal performance. However we show that the package produces equivalent results in a fraction of the time for all the examples on which we test. The package is designed to be user-friendly and is based on the existing simmr framework.


Citations (70)


... If a driver only exceeds a threshold during extreme events, most (or all) data points may be clustered on one side of a threshold, reducing detectability. This challenge has hindered attempts to identify metabolic index thresholds in West Coast groundfish species, where oxygen levels rarely exceed expected threshold levels (Indivero et al., 2024). High levels of noise in the data (due to observation error and/or unknown covariates) may also negatively influence threshold detectability; for example, high interannual variability in the North Pacific has complicated efforts to detect regime shifts in this system (Wooster & Zhang, 2004). ...

Reference:

Evaluating the robustness of generalized additive models as a tool for threshold detection in variable environments
Estimating a physiological threshold to oxygen and temperature from marine monitoring data reveals challenges and opportunities for forecasting distribution shifts

... Localized changes to Dogfish biomass density off BC were found to be negatively associated with increasing bottom temperature and dissolved oxygen (English et al. 2021). Other recent work has suggested that coastwide Dogfish distribution may contract in warmer years (Ward et al. 2024). Our findings are consistent with Dogfish maintaining a thermal niche by deepening their depth in the more southern parts of their distribution. ...

Win, lose, or draw: Evaluating dynamic thermal niches of northeast Pacific groundfish

... Wide-ranging ecosystem-level reference points are critical in light of global change (Morrison et al. 2024) and can be enhanced by incorporating complementary biodiversity metrics that together define 'ecoscapes' (i.e., statistically-derived snapshots of compositional and functional diversity) reflecting the processes shaping the structure of ecological assemblages. This is particularly important for species with similar population trends and shared responses to ecosystem and oceanographic variability (Dorn and Zador 2020;Ward et al. 2024). However, to recognise the likelihood for biogeographic shifts in assemblages arising from both natural variability and climate change, biodiversity assessments should extend across spatiotemporal gradients of oceanographic conditions and faunal prevalence (Monaco et al. 2021). ...

Leveraging ecological indicators to improve short term forecasts of fish recruitment
  • Citing Article
  • August 2024

Fish and Fisheries

... Additionally, large releases of culturally mismatched individuals also have the potential to negatively impact recipient populations, for instance by flooding them with novel traits that can interfere with, 'pollute' (e.g. [31]), or cause the extinction of locally adaptive behaviours (e.g. [32][33][34]). ...

Salmon hatchery strays can demographically boost wild populations at the cost of diversity: quantitative genetic modelling of Alaska pink salmon

... Our results show elevated levels of SPR for Barred Sand Bass despite a known decline in abundance and collapse of the recreational fishery. We believe our LBSPR results for this species are spurious due to heavy fishery targeting on spawning aggregations, and the highly episodic nature of recruitment in the region (Mason et al., 2023a). Fish that form spawning aggregations, such as Barred Sand Bass, are known to exhibit hyperstability, in which catch metrics remain high or elevated despite stock declines Miller and Erisman, 2014). ...

Supplemental Material: Environment-driven trends in fish larval abundance predict fishery recruitment in two temperate reef congeners: Mechanisms and implications for fishery recovery under a changing ocean
  • Citing Data
  • April 2024

... These analyses focus primarily on biennial patterns within two periods, 1975-1996 and 1997-2022, correspond-ing to the emergence of biennial patterns in SRKWs. Biennial values within these two periods were examined because researchers have reported weak statistical power for detecting correlations between potential explanatory variables and annual SRKW population dynamics given the small SRKW population size and small changes each year (Nelson et al. 2024). ...

Identifying drivers of demographic rates in an at‐risk population of marine mammals using integrated population models

... However, climate change is predicted to alter the spatio-temporal distributions of marine resources, including many of the fisheries' targets described in our results [107,108]. Changes in these species' distributions will likely alter the concentrations of fishing effort in the future and the accessibility of these species to fishers [109,110]. For example, California market squid have been one of the most conspicuous species observed off the coast of Oregon in recent years owing to ocean warming [111,112], and their apparent poleward redistribution was qualitatively evident in our landings data. ...

Stay or go? Geographic variation in risks due to climate change for fishing fleets that adapt in-place or adapt on-the-move

... Expansion of grid cell values Most of the fisheries we examined do not have logbook or geocoordinates for 100% of fishing events, so we applied expansion coefficients on a grid-cellby-grid-cell basis to approximate the spatial distribution of all fishing value represented in the comprehensive PacFIN commercial fishing port level landings database. This type of expansion or correction of fisheries activity data is commonly used by agencies who collect these data [71] and by other researchers who have used these data [72,73]. After we calculated the value of each grid cell for each fishery species in each year using fishing event geocoordinates, we summed the value of all grid cells for that fishery for each year and compared with the total landed value of that fishery for the corresponding year present in the PacFIN database. ...

Modeling the spatiotemporal patterns and drivers of Dungeness crab fishing effort to inform whale entanglement risk mitigation on the U.S. West Coast
  • Citing Article
  • December 2023

Journal of Environmental Management

... Specialization might seem profitable in the short run, but in the case of boom and bust dynamics, it can cause negative impacts due to overcapitalization (Ward et al. 2018;Maltby et al. 2023;Schwoerer et al. 2023). Inherent natural cycles of boom and bust may be worsened by incentives that encourage fleet expansion during the prosperous phase of population growth cycles. ...

Fish or not fish—fisheries participation and harvest diversification under economic and ecological change
  • Citing Article
  • November 2023

Marine Policy

... In the absence of an optimal species distribution model (SDM) for a specific species, geographic area, and spatial resolution, making decisions based solely on the output of a single SDM, while neglecting the uncertainty associated with alternative models, may lead to ineffective management planning decisions (Davies et al., 2023). Uncertainty analysis is crucial for two primary reasons (Douglas-Smith et al., 2020). ...

Addressing uncertainty when projecting marine species' distributions under climate change