Submitted:
24 April 2024
Posted:
26 April 2024
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Abstract
Keywords:
1. Introduction
2. Conceptual Issues and a New Framework
2.1. The Traditional Objective Framework
2.2. A Framework for Critical Complexity
- Applying transdisciplinary thinking [41,42,43] to guide flood scholarship. Conventional disciplines become barriers to investigating multi-level interactions and the study of sustainability in a multi-level world [44]. Transdisciplinarity opens up possibilities for societal understanding of hazards and options for mitigation that are currently obscured by disciplinary perspectives [35].
- Utilizing constructivist approaches that see “risk as socially constructed and shaped and constrained by social environments” [23] to help people move beyond the rationalist paradigm that hazard protection has to be based entirely on decisions made by experts.
3. Bringing the Conceptual Frameworks to Practice
3.1. Traditional Analytic and Probabilistic Framework in Practice
- Recurrent events experienced in everyday life often occur at nearly fixed intervals, such as weekly, monthly, or annual meetings. We are conditioned to expect a small degree of irregularity (e.g., a monthly meeting might not recur on exactly the same day of the month). But experts model recurring hazards, such as floods, as random events. The public’s preconception does not match the probability distribution of recurrence intervals. For example, the distribution of intervals between “100-year floods” is broad, strongly skewed, and reaches its mode at zero (Figure 3). The standard deviation of recurrence intervals is equal to their average, so that Q100 could be stated as the “flow that is exceeded every 100 years ± 100 years, on average” (Figure 3). Because most people do not understand the technical nuances there is a strong tendency for them to revert to an incorrect understanding of Q100 as “a flood that happens every 100 years.”
- The public typically associates probability with the chance of a single outcome. For example, the probability of a coin landing heads (p = 0.5), of rolling a particular point on a die (p = 0.167), or of winning top prize in a high-profile lottery game (p < 0.000001). In contrast, flood risk accumulates over time: Q100 has a probability of 0.01 each year: the longer the exposure to risk, the greater the chance of experiencing a 100-year flood. Most of the public lacks meaningful experience with this type of accumulative risk and incorrectly simplifies the risk of a 100-year flood to “p = 0.01” (not 0.01/year).
- The public perceives flooding as a singular event associated with a particular flow, elevation of water, or inundation of land. Past floods are remembered by particular flood marks recorded on buildings or other structures. This view is reinforced by the “thin grey lines” on flood insurance rate maps (FIRM) that demarcate flood plains [51]. In contrast, a 100-year flood is not a single flow but any flow that exceeds Q100, with no upper limit. Without ways to understand the possibilities of flows that might greatly exceed Q100, people tend to think of the 100-year flood as exactly the flow of Q100, which is the smallest 100-year flood.
3.2. Connecting Subjective Understanding with Objective Measures of Flood Risk
- Q(I) ensembles intrinsically incorporate the passage of time through successive simulations of annual peak flows. Like a game, Q(I) simulates the experience of exposure to a flood hazard. In contrast, an average recurrence interval (e.g., “100-year” flood) is a statistical parameter, not a time that can be related to experience [30].
- The spread in the Q(I) ensembles indicates the range of the most severe outcomes likely to be experienced after I years; it is a visual representation of a range of outcomes that are possible. In contrast, an exceedance flow, QT, such as Q100 (Figure 4A) is a lower limit based on annual probability and has no upper limit.
- The upward sloping Q(I) ensemble reveals an often unrecognized and uncommunicated aspect of flood risk: the longer one is exposed to risk, the more likely one is to experience severe consequences. Ensembles convey a sense that time matters in mitigating flood risk. In contrast, QT is predicated on a constant annual probability, often misinterpreted to mean that risk is constant, not accumulative.
- The Q(I) ensemble (Figure 4A) shows that Q100 begins to be exceeded by a substantial proportion of simulations after as little as 10-20 years, and after 100 years of exposure most simulations exceed Q100. The perspective given by the simulations dispels the misconception that Q100 occurs once every 100 years.
- The ensemble diagram encourages possibilistic thinking. Clarke [39] gives the example of airline travel: the probability of a crash is extremely low but experience provides many examples of airline disasters and how they can occur: mid-air collision, airplane system failure, terrorism, and so forth. Similarly, Q(I) gives insight into what might be experienced in terms of future flood magnitude.
- How far in the future do I wish to consider the risk? How do age and socio-economic circumstances come into play? Young people or those committed to living or working near a flood zone might want to prepare for outcomes expected over longer exposure intervals than the elderly or those who have the economic potential to escape the flood plain.
- How much of a risk-taker am I? The bottom of the risk envelope (e.g., point C in Figure 5A) is almost always exceeded, whereas the top (e.g., point E) is rarely reached. The risk averse will want mitigation measures that keep them safe at E; the risk tolerant might take a “bet” that less costly mitigation built for C will be sufficient.
- How do different locations within a zone of possible inundation affect my understanding of risk? For example, flooding more extreme than 21 feet (Figure 5C) isolates all the properties on the island; but even at 30 feet (Figure 5E), properties on the highest ground do not flood. How does a property’s susceptibility to isolation and inundation play into an individual’s conception of risk?
4. Discussion
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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