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    • Stewarding and Combining Reef Monitoring Data
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    • Modeling Statewide Reef Indicators
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Models

Modeling Statewide Reef Indicators

About our Statewide Indicator Maps

HIMARC’s Statewide Indicator Maps provide continuous, high-resolution spatial predictions of coral reef health across the Main Hawaiian Islands. These maps allow resource managers, researchers, and community members to explore key ecological indicators across both surveyed and unsurveyed nearshore waters.

While in situ scuba surveys deliver accurate assessments at specific monitoring sites, physical constraints limit divers to discrete locations, leaving vast stretches of Hawaiʻi’s coastline unmonitored. HIMARC’s predictive mapping framework bridges these spatial gaps.

We use advanced statistical models to define the underlying relationships driving reef condition by pairing our standardized database of localized fish and benthic surveys with continuous environmental and human driver layers. Because these driver datasets span the entire coastline, we project these established relationships into unsurveyed areas. This can then generate seamless, archipelago-wide indicator maps.

To track ecological trends over time, the HIMARC team has completed baseline statewide models for 2004–2014 and is currently developing the 2015–2024 time series, offering an evolving picture of Hawaiʻi’s nearshore ecosystems.

What is an Indicator?

Data from the combined HIMARC database, representing quality-controlled and calibrated surveys, are summarized into key indicators representing specific measurements applicable to management and tell us about coral reef health and resilience.

Indicators were selected after conducting a comprehensive literature review and applying multiple criteria to evaluate their relevance in addressing management questions.

Learn more about some of our indicators

Fish Species Diversity

A measurement that quantifies the amount of different fish species on a reef.

Resource Fish Biomass

A measurement that combines the size and abundance of species targeted by local fisheries

Mean Fish Size

A measurement that quantifies the average size of fishes on a particular reef.

Total Fish Biomass

A measurement that combines the size and abundance of fishes to estimate the total weight of all species in a specific area.

Percent Coral Cover

A measurement that quantifies the percentage of habitat covered by coral.

Ratio of Calcified to Fleshy Cover

A measurement that assesses the proportion of the reef occupied by calcifying organisms, such as coral, compared to fleshy turf and macroalgae.

Herbivore Fish Biomass

A measurement that combines the size and abundance of herbivorous fish species.

How are Indicators Modeled?

Our predictive framework utilizes a Bayesian hierarchical approach, allowing us to model complex, real-world ecological variation across different islands and regions. These models explain variation in reef indicators as a function of anthropogenic and biophysical drivers. Because spatial drivers often exhibit multicollinearity, we do not feed every variable directly into the model. Instead, HIMARC analysts use a collaborative selection process to identify the most ecologically relevant and statistically appropriate inputs.

HIMARC initiates the modeling process in statistical programs by establishing weakly informative priors, which creates unbiased baselines for our parameters. The model mathematically updates these priors against our statewide database of empirical field observations to generate posterior distributions, quantifying the specific relationships between each indicator and its drivers. This integration culminates in a multidimensional predictive framework that captures how environmental conditions and human stressors interact simultaneously to shape Hawaiʻi’s reef ecosystems.

Generating Statewide Indicator Maps

We generate continuous statewide maps by applying our fitted Bayesian equations to the underlying grid of island-wide driver layers. Nearshore habitats are divided into standard-sized grid cells. For every cell, the model calculates a predicted indicator value using that location’s specific combination of environmental and human drivers at a given timepoint. This calculation occurs across all cells, regardless of whether empirical field surveys exist for that location.

This projection converts discrete survey points into a continuous spatial grid across the Main Hawaiian Islands. The resulting raster layers allow us to evaluate modeled reef condition at any point along the coast, giving managers a consistent, high-resolution dataset to pinpoint high-biomass reefs, identify degraded areas, and prioritize local management interventions.

See model predictions of coral cover and fish biomass by moku across the Main Hawaiian Islands:

Percent coral cover and total fish biomass are summarized across moku based on the best available data from 2004 - 2014. Colors are relative to the values within each moku. Values are 80% credible intervals from a Bayesian Hierarchical model that accounts for the relative distribution of habitat and variation in other drivers of the indicator in a given moku. Detailed methods are in Donovan et al. 2023 Proc B.

HIMARC’s Statewide Indicator Maps have been adopted by natural resource management agencies for implementation as a key tool for decision-making across islands.

Some ways these maps have been integrated into management:

Statewide Sustainable Herbivore Management Plan

Herbivorous reef fishes, such as uhu, kala, and surgeonfishes, support Hawaiʻi’s marine ecosystems by grazing on algae to maintain balance and foster healthy coral populations. To combat declining populations and protect reef resilience statewide, the Division of Aquatic Resources (DAR) launched the Sustainable Herbivore Management Plan. HIMARC supported this statewide initiative by providing DAR with data science from the Statewide Reef Indicators, needed to track herbivore populations and guide effective management decisions across the islands.

See the peer-reviewed publication here.

Holomua Marine Initiative

HIMARC Statewide Reef Indicator maps help provide context for the Holomua Marine Initiative. These maps are provided to Navigation Teams, which can help inform the overall management process. In 2023, the Maui Navigation Team reviewed earlier versions of these maps to create informed decisions around potential resource management through the Holomua program.

Hawai‘i Monitoring and Reporting Collaborative (HIMARC)