| Predicting Wildfire Risk Under Novel 21st-Century Climate Conditions |
| Matthew Cooper |
| Sust Global |
| 595 Pacific Ave., Floor 4 |
| San Francisco, California 94133 |
| Abstract |
| Wildfires are one of the most impactful hazards associ- |
| ated with climate change, and in a hotter, drier world, |
| wildfires will be much more common than they have |
| historically been. However, the exact severity and fre- |
| quency of future wildfires are difficult to estimate, be- |
| cause climate change will create novel combinations of |
| vegetation and fire weather outside what has been his- |
| torically observed. This provides a challenge for AI- |
| based approaches to long-term fire risk modeling, as |
| much future fire risk is outside of the available feature |
| space provided by the historical record. Here, I give an |
| overview of this problem that is inherent to many cli- |
| mate change impacts and propose a restricted model |
| form that makes monotonic and interpretable predic- |
| tions in novel fire weather environments. I then show |
| how my model outperforms other neural networks and |
| logistic regression models when making predictions on |
| unseen data from a decade into the future. |
| Introduction |
| One way to describe the future effects of climate change is |
| with the phrase global weirding . The 21st century will be in- |
| creasingly uncanny, as we will see Caribbean beach weather |
| in Iceland; deserts that become soggy and green; and an Arc- |
| tic Ocean that is entirely free of ice, potentially by 2035 |
| (Guarino et al. 2020). Novel assemblages of temperature, |
| precipitation, land cover, and vegetation will emerge that are |
| unlike anything in human history, giving rise to hazards un- |
| precedented in severity and posing major challenges to adap- |
| tation. Additionally, these weird conditions are a challenge |
| to any form of modeling that depends on rich training data, |
| as much of the future will be entirely outside of the feature |
| space of available observational data. |
| This is especially true in the case of wildfire, because fire |
| depends on two things: burnable vegetation and dry enough |
| conditions to ignite that vegetation. Under stable climate |
| conditions, weather and vegetation reach an equilibrium, |
| where the amount of burnable vegetation is proportional to |
| the amount of rainfall (See Fig. 1). However, under climate |
| change, we are seeing increasingly novel pairings of pre- |
| cipitation and vegetation (See Fig. 2). For example, Califor- |
| Copyright © 2022, Association for the Advancement of Artificial |
| Intelligence (www.aaai.org). All rights reserved.nia has historically had dry summers and wet winters, lead- |
| ing to chaparral and spare forest vegetation communities. |
| However, in the past decade, California had weather condi- |
| tions more characteristic of a desert climate. This extremely |
| dry weather, coupled with high levels of vegetation, is what |
| has caused the unprecedented fire crisis in California (Abat- |
| zoglou and Williams 2016). A similar situation is occurring |
| in the Amazon, where tropical rainforest vegetation is expe- |
| riencing increasingly long dry seasons and is converting into |
| a tropical savanna, with fire consuming the excess biomass |
| (Le Roux et al. 2022). |
| These emerging conditions are causing significant prob- |
| lems for sectors like the insurance industry, which has |
| traditionally used historic risk to estimate future risk and |
| appropriately price premiums. Unable to accurately esti- |
| mate fire risk under unprecedented conditions, many home |
| insurance companies are withdrawing from fire-prone ar- |
| eas, leaving homeowners without coverage (Poizner 2022; |
| Singh 2022). Given that a typical home mortgage can last |
| up to 30 years, a period over which climatological and eco- |
| logical systems will continue to disequilibrate, it is impera- |
| tive that we develop better methods for estimating fire risk |
| that can make reasonable predictions outside of the existing |
| feature space provided by historic data. |
| Data |
| For this analysis, I use data on fire occurrence provided glob- |
| ally and at a 500 meter resolution derived from NASA’s |
| MODIS satellite program (Giglio et al. 2009). This dataset |
| goes back to November 2000 and provides a binary indica- |
| tor of whether a fire was observed at a given pixel at a daily |
| timestep. From this dataset, I collected 240 million sample |
| locations on a given day across the terrestrial world, over- |
| sampling fire occurrence to make up approximately 10% of |
| the dataset, but otherwise sampling completely at random. |
| For each sample point, I calculate a daily fire weather in- |
| dex known as the Keetch-Byram Drought Index, or KBDI |
| (Brown, Wang, and Feng 2021; Gannon and Steinberg |
| 2021). KBDI is an index updated on a daily time step and is |
| indicative of the amount of water in the top 203 millimeters |
| of soil. A KBDI score of 0 corresponds to saturated soil and |
| very little fire risk, while a KBDI score of 203 indicates that |
| soil is dry up to 203 millimeters deep and that fire risk is very |
| high. To calculate historic values of this index, I use daily |
|
|
| Figure 1: Historically, precipitation and biomass have been |
| in equilibrium. |
| HIGH Biomass |
| Rainfall HIGH LOW LOW |
| Figure 2: Under climate change, precipitation and biomass |
| are decoupled, leading to unprecedented fire severity in Cal- |
| ifornia and the Amazon. |
| HIGH Biomass Rainfall HIGH LOW |
| LOW |
| Amazon |
| Wildfires California |
| Wildfires |
| historic data on temperature and precipitation from the 10 |
| kilometer ERA5-Land reanalysis dataset (Mu ˜noz-Sabater et |
| al. 2021). Additionally, to better determine the fire risk con- |
| text I determine the local climate zone for each point using |
| the Koppen-Geiger methodology (K ¨oppen 2011), as well as |
| the local land cover type using the 300 meter ESA land cover |
| dataset (ESA 2017). |
| For my analysis, I use observed data from November 2000 |
| to October 2011 as my training data ( n= 135,559), and ob- |
| served data from November 2011 to October 2021 as my |
| validation data ( n= 123,428). Testing my model on obser- |
| vations that occurred a decade beyond the end of the train- |
| ing data can give me an indication of how my model will |
| perform over the course of the next decade. Additionally, I |
| subset my analysis to eastern Oregon to constrain the discus- |
| sion, although I have data processed and prepared for analy- |
| ses at a global scale. |
| Finally, for future estimates of fire weather to use a fea- |
| tures in model inference, I derive KBDI from ensembled |
| and bias-corrected simulations of temperature and precipita- |
| tion throughout the 21st century using Global Climate Mod- |
| els (GCMs) from the 6th Climate Model Intercomparison |
| Project (CMIP6) (O’Neill et al. 2016).The Problem |
| To better illustrate the modeling challenge presented by |
| novel fire conditions, also referred to as domain shift, I show |
| daily fire weather values (KBDI) in eastern Oregon for peri- |
| ods where observed KBDI scores were indicative of elevated |
| fire risk (KBDI >100), typically in the summer (See Fig. |
| 3). Eastern Oregon is an area without significant historic fire |
| activity but is increasingly threatened by fire. There, KBDI |
| values are increasing every decade, with the next decade |
| modeled to have KBDI values at the maximum potential fire |
| risk. This prevalence of increasingly out-of-sample and un- |
| precedented fire weather is also associated with heightened |
| fire risk, something models trained on only historic data will |
| struggle to capture. |
| Figure 3: Shifting of fire weather towards unprecedented risk |
| each decade complicates empirical AI modeling. Histogram |
| of daily KBDI values in Eastern Oregon, by decade. Values |
| for 2000-2010 and 2011-2021 are observed, values for 2022- |
| 2032 are taken from an ensemble of bias-corrected climate |
| models. |
| I further illustrate this domain shift modeling challenge |
| by training a simple 3-layer feed-forward neural network to |
| predict the probability of fire in eastern Oregon as a function |
| of KBDI using sample data from 2000-2011 and validation |
| data from 2012-2022. I compare that model against a logis- |
| tic regression model using the same dataset. I find that the |
| neural network under-estimated fire risk at high KBDI lev- |
| els, while the logistic regression, due to its implicit mono- |
| tonicity, better captured the trend of increasing fire risk with |
| increasing KBDI levels (See Fig. 4). |
| While these test datasets illustrate the nature of the prob- |
| lem, both models used here were quite simple. In addition |
| to fire weather, fire risk is heavily determined by other con- |
| textual factors, including biomass, land cover, long-term cli- |
| mate conditions, and elevation. I therefore construct more |
| complex models based on 24 features derived from my sam- |
| ple dataset, one-hot encoding for land cover type and climate |
| zone, as well as including terms for latitude and longitude, |
| allowing the models to learn location-specific fire risk rela- |
| tionships. Additionally, I fit a hierarchical logistic regression |
| using the same features as the multivariate neural network. |
| Overall, I find that multivariate models perform better |
| than univariate models based only on KBDI when evaluated |
| on a held out test dataset from the next decade (See Table |
| 1). Additionally, I find that logistic regression models out- |
| perform neural networks on the test data, because they make |
|
|
| Figure 4: Observed probability of fire by KBDI value, in the |
| training and testing datasets. Additionally, I show the predic- |
| tions of a simple feed-forward neural network and a logis- |
| tic regression. Note that the neural network under-estimates |
| out-of-sample future fire risk. |
| predictions that are monotonic. This suggests that the neural |
| networks struggle to capture extreme behavior. |
| New Architecture |
| Because simple neural networks struggle to capture fire ex- |
| tremes under novel data domains, I propose a new neural |
| network architecture, based on two premises. The first is |
| that the relationship between KBDI and fire probability is |
| monotonic, and as ongoing climate change leads to condi- |
| tions drier than any previously observed in many locations, |
| it will be necessary to use models that can extrapolate mono- |
| tonically, such as logistic regression models. Secondly, the |
| parameterization of the weather-fire relationship is complex |
| and context dependent, with a large number of influenc- |
| ing variables that interact nonlinearly, requiring models like |
| neural networks that can handle such estimation problems. |
| Drawing from both of these premises, I have implemented |
| a neural network architecture that uses a large number of |
| features describing the geographic context to estimate the |
| parameters of a logistic model that describes the KBDI-fire |
| relationship in that context. In this case, I use features for |
| the spatial location, local land cover type, and historic cli- |
| mate zones indicative of prevailing vegetation communities; |
| however, this architecture could be extended to incorporate |
| other important features, such as topography, proximity to |
| human settlements, or aboveground biomass. This approach |
| has the advantage of drawing on complex interactions within |
| the geophysical environment that influence the relationship |
| between fire and weather conditions, while still being con- |
| strained to make predictions in line with my strong prior as- |
| sumption that the relationship between dryness and fire risk |
| is monotonic. |
| The model feeds a large number of features in four dense |
| hidden layers that condense from 32 to 8 nodes with a ReLU |
| activation function. The model then diverges into two sepa- |
| rate hidden layers, each of which converges into a single- |
| parameter output, which are treated as the two parameters |
| in a logistic regression ( 0and1). The model’s loss func- |
| tion is therefore the performance of those two parameters in |
| a logistic regression using observed KBDI, evaluated with |
| binary cross-entropy (See Fig. 5).Figure 5: Diagrammatic representation of fire neural net- |
| work used to estimate logistic regression parameters. |
| Linear |
| Predictor |
| β1 β0y |
| Binarized |
| Cross- |
| Entropy ( , ) β0 β1Linear |
| Pred. y +24 Input Features |
| X |
| 8-Node Dense 8-Node Dense 16-Node Dense 32-Node Dense |
| 8-Node Dense 8-Node Dense |
| Loss Function |
| Model R2MSE |
| Univariate NN 0.0091 0.0442 |
| Logistic Regression 0.0139 0.0440 |
| Multivariate NN 0.0156 0.0439 |
| Hierarchical Logistic Regression 0.0166 0.0438 |
| NN-Estimated Logistic Regression 0.0202 0.0436 |
| Table 1: Model performance by R2and mean squared error |
| (MSE). |
| I fit a model with this architecture using the same fea- |
| tures as the aforementioned multivariate neural network and |
| find that it improves performance on R2by 22%. This archi- |
| tecture is able to draw on the advantages of using gradient |
| descent to explore complex relationships among features, |
| while still making predictions that are interpretable and ex- |
| trapolate well outside of the observed range of fire weather |
| values. |
| Conclusion |
| While there would be many benefits of using this method- |
| ology, it would have the drawback of requiring a very large |
| dataset, as is typical of neural network based approaches. |
| This would evolve the state of the art of predicting wildfires |
| by focusing specifically on making predictions outside of |
| the feature space available for training. Having better long- |
|
|
| term fire predictions would help state agencies and govern- |
| ments to eliminate risks, as they currently rely on projec- |
| tions that are more near-term, focusing on weekly to sea- |
| sonal timescales. |
| Neural networks provide a number of advantages and can |
| explore a hyper-dimensional and complex feature space ef- |
| ficiently. However, they are brittle outside of their training |
| space. In such situations where it is necessary to make pre- |
| dictions in the absence of available training data, predictions |
| must be guided by theory and model behavior must be in- |
| terpretable. I therefore developed an architecture that flex- |
| ibly draws on complex environmental variables while still |
| making predictions that are aligned with my theoretical prior |
| that drier weather leads to increased fire risk. I find that this |
| model performs better than other approaches when used to |
| make predictions a decade into the future. Given the theoret- |
| ical support of this approach, it is likely to be especially use- |
| ful for making estimates at even longer timescales of up to |
| two or three decades. This approach has relevance for mod- |
| eling many of the novel risks posed by climate change. |
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