Earthquake Monitoring, Risk, and Responsible Science
Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts.
§8.1 Guiding question
How can seismological results inform action without overstating predictive power?
Fictional unit investigation. A fictional coastal municipality, regional warning network and research group exchange maps, public reports and synthetic waveforms. Students assess separate roles of scientific analysis and authorized emergency institutions.
§8.2 Learning workflow
Before beginning, distinguish the scientific question, the measured quantity and the latent parameter that the student hopes to infer. Assign physical units, name a plausible alternate hypothesis, and state what data are fictional. For hazards and communication, clearly separate a hypothetical model, a peer-reviewed estimate and an operational warning. Educational data cannot justify personal protective actions or official earthquake alerts. The experiments are deliberately simplified so their calculations can be independently checked. They are not validated field instruments, real-time forecasts, or site-specific hazard assessments.
§8.3 Seismic hazard and probabilistic maps
Learning goals. Explain the mechanism, translate the problem into measurable quantities, test an alternative interpretation and defend an uncertainty statement.
Physical foundation. Seismic hazard estimates quantify possible ground motion under modelled earthquakes and recurrence assumptions. Hazard is distinct from risk, which additionally depends on exposure and vulnerability. In the broader unit, Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts.
Observational method. Read a fictional hazard curve with annual exceedance probabilities and compare hazard at two sites without inferring loss directly. Specify the coordinate frame, observation period, relevant units, acquisition and calibration limitations before interpreting the resulting figure.
Common interpretive trap. A 10 percent probability in 50 years does not mean one event arrives exactly every 500 years or that the site is safe otherwise. A neat numeric solution does not remove this interpretive ambiguity. Ask which further independent measurement could reveal whether the preferred explanation is incorrect.
Applied investigation. Explain the assumptions behind converting constant annual rate to time-window exceedance probability. Provide a labeled sketch, a short reproducible table and a paragraph separating observed evidence from inferred process.
Interpretation and quantitative example
Worked case 8.1: Illustrative remaining warning lead time. Synthetic input: 54.65 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 8.61429 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Evidence design and falsification
A strong evidence chain identifies what the observer physically controls. Specify waveform or map provenance, the acquisition time standard, the instrument or field method, the adopted calibration, and an independent comparison. Is the observed pattern repeatable across genuinely separate records or did it arise after multiple views of the same data? Where an observation is transformed into a calculated quantity, retain its original units and values. Write an audit note on which data would be decisive and which are merely compatible. Here, the principal source of ambiguity is stated explicitly: A 10 percent probability in 50 years does not mean one event arrives exactly every 500 years or that the site is safe otherwise. Create a four-row evidence matrix: observed quantity, inferred physical quantity, principal confounder, and proposed falsifying observation. Mark an entry as measured only when acquisition metadata is known. Repeat the matrix for a second hypothesis instead of dismissing it without calculation. This discipline prevents a tidy narrative from substituting for testable physical interpretation. End the notebook by explaining how the proposed investigation (Explain the assumptions behind converting constant annual rate to time-window exceedance probability.) addresses at least one weakness of the primary model.
Knowledge check. (1) Which claim is directly observed and which is inferred? (2) How would an alternate model change the expected observation? (3) Which number must be accompanied by uncertainty? (4) Why is the worked result unsuitable as a real-time safety conclusion?
§8.4 Engineering fragility and risk
Learning goals. Explain the mechanism, translate the problem into measurable quantities, test an alternative interpretation and defend an uncertainty statement.
Physical foundation. Fragility functions estimate the conditional probability of reaching damage states for specified shaking metrics; consequences depend on inventories, capacity and interconnected services. In the broader unit, Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts.
Observational method. Compare two artificial building classes under an illustrative common ground-motion level and discuss uncertainty propagation. Specify the coordinate frame, observation period, relevant units, acquisition and calibration limitations before interpreting the resulting figure.
Common interpretive trap. Combining regional hazard with one generic fragility curve can hide local construction differences and compound failures. A neat numeric solution does not remove this interpretive ambiguity. Ask which further independent measurement could reveal whether the preferred explanation is incorrect.
Applied investigation. Build a simple risk chain diagram from source to response to service interruption, without claiming a real estimate. Provide a labeled sketch, a short reproducible table and a paragraph separating observed evidence from inferred process.
Interpretation and quantitative example
Worked case 8.2: Fifty-year probability at constant annual rate. Synthetic input: 0.018064 per year. Apply the explicitly declared relationship 100(1-Math.exp(-50x)) to obtain 59.4729 percent. Restrictions: Stationary Poisson assumption; actual hazard curves and local code decisions require experts. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Evidence design and falsification
When comparing scenarios, preserve the same measurement geometry if possible. A change in a source parameter may look like a path effect when stations or filters differ. Design a sensitivity table with columns for adopted value, plausible range, reason for uncertainty and effect on inference. Distinguish an instrumental limitation from a physical ambiguity: improving sampling can solve the former while the latter may need an entirely different experiment. Here, the principal source of ambiguity is stated explicitly: Combining regional hazard with one generic fragility curve can hide local construction differences and compound failures. Build the result graph only after labelling its axes and quantities. Include a plausible range of inputs rather than a single favorable selection. Annotate any discontinuity, threshold or saturated measurement. Next, state whether the curve demonstrates a general law, a restricted approximation or merely the numerical behavior of an arbitrary toy formula. The caption should not promise resolution that the data cannot support. End the notebook by explaining how the proposed investigation (Build a simple risk chain diagram from source to response to service interruption, without claiming a real estimate.) addresses at least one weakness of the primary model.
Knowledge check. (1) Which claim is directly observed and which is inferred? (2) How would an alternate model change the expected observation? (3) Which number must be accompanied by uncertainty? (4) Why is the worked result unsuitable as a real-time safety conclusion?
§8.5 Earthquake early warning
Learning goals. Explain the mechanism, translate the problem into measurable quantities, test an alternative interpretation and defend an uncertainty statement.
Physical foundation. Early warning systems seek to detect an earthquake after it begins and alert places that strong waves have not yet reached. Available warning time depends on rupture location, station coverage and communication latency. In the broader unit, Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts.
Observational method. Estimate a hypothetical S-wave travel time and subtract detection and communication delays, stating assumed wave speed and straight-line distance. Specify the coordinate frame, observation period, relevant units, acquisition and calibration limitations before interpreting the resulting figure.
Common interpretive trap. Early warning is not earthquake prediction; near-source areas may get little or no notice, and false or missed alerts occur. A neat numeric solution does not remove this interpretive ambiguity. Ask which further independent measurement could reveal whether the preferred explanation is incorrect.
Applied investigation. Write a one-page conceptual workflow that names system latencies and officially authorized alert channels. Provide a labeled sketch, a short reproducible table and a paragraph separating observed evidence from inferred process.
Interpretation and quantitative example
Worked case 8.3: Illustrative remaining warning lead time. Synthetic input: 102.15 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 22.1857 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Evidence design and falsification
Choose one prediction that would differ under a competing mechanism. A useful prediction has a measurable sign, timing, spectral or spatial signature rather than an undefined expectation that a map should look different. Explain how the predicted quantity would be calculated before looking at the fictional test record. If both explanations remain consistent with the evidence, report the unresolved alternatives and the next practical observation needed. Here, the principal source of ambiguity is stated explicitly: Early warning is not earthquake prediction; near-source areas may get little or no notice, and false or missed alerts occur. Keep a processing log with coordinate reference, UTC times, units, processing order and exclusion rules. Compare pre- and post-processing records and explain discrepancies. In the conclusion, identify which claim survives the most consequential alternative parameterization. Reproducibility means another researcher could regenerate the result and find the same limitations, not simply the same decimal answer. End the notebook by explaining how the proposed investigation (Write a one-page conceptual workflow that names system latencies and officially authorized alert channels.) addresses at least one weakness of the primary model.
Knowledge check. (1) Which claim is directly observed and which is inferred? (2) How would an alternate model change the expected observation? (3) Which number must be accompanied by uncertainty? (4) Why is the worked result unsuitable as a real-time safety conclusion?
§8.6 Seismology, the ocean, and tsunami warning
Learning goals. Explain the mechanism, translate the problem into measurable quantities, test an alternative interpretation and defend an uncertainty statement.
Physical foundation. Submarine earthquakes and other sources can displace water and sometimes generate tsunamis. Source depth, rupture geometry, seafloor displacement and bathymetry control outcomes; magnitude alone does not determine severity. In the broader unit, Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts.
Observational method. Compare a fabricated strike-slip offshore earthquake with a shallow thrust scenario and discuss what additional data would matter. Specify the coordinate frame, observation period, relevant units, acquisition and calibration limitations before interpreting the resulting figure.
Common interpretive trap. Not every large offshore earthquake creates a damaging tsunami, and a small event may have landslide-related effects. A neat numeric solution does not remove this interpretive ambiguity. Ask which further independent measurement could reveal whether the preferred explanation is incorrect.
Applied investigation. Draft a non-operational risk communication diagram directing readers to official tsunami warning agencies. Provide a labeled sketch, a short reproducible table and a paragraph separating observed evidence from inferred process.
Interpretation and quantitative example
Worked case 8.4: Fifty-year probability at constant annual rate. Synthetic input: 0.030539 per year. Apply the explicitly declared relationship 100(1-Math.exp(-50x)) to obtain 78.2803 percent. Restrictions: Stationary Poisson assumption; actual hazard curves and local code decisions require experts. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Evidence design and falsification
Reconstruct the inference backwards. Start with the headline result and locate every conversion, classification and assumption required to obtain it. An estimate based on a chosen velocity, phase pick or site parameter should be labelled conditional on those inputs. Review the same steps after making one intentional mistake in the input metadata; document which output would become misleading and why. Here, the principal source of ambiguity is stated explicitly: Not every large offshore earthquake creates a damaging tsunami, and a small event may have landslide-related effects. Method A: compute a baseline result using the stated relation, preserving all units. Method B: perturb one relevant input and record the change. Method C: replace the simplest assumption with an alternative that would be plausible at the study scale; if you cannot recalculate it with the available information, state what is missing. Method D: compare with an independent kind of observation, if available. This order avoids hiding assumptions under additional significant figures. End the notebook by explaining how the proposed investigation (Draft a non-operational risk communication diagram directing readers to official tsunami warning agencies.) addresses at least one weakness of the primary model.
Knowledge check. (1) Which claim is directly observed and which is inferred? (2) How would an alternate model change the expected observation? (3) Which number must be accompanied by uncertainty? (4) Why is the worked result unsuitable as a real-time safety conclusion?
§8.7 Open earthquake data, ethics, and public communication
Learning goals. Explain the mechanism, translate the problem into measurable quantities, test an alternative interpretation and defend an uncertainty statement.
Physical foundation. Reproducible event catalogs and waveforms need versioned metadata, network citations, coordinate reference systems, timestamps and consistent ethical handling of uncertain interpretations. In the broader unit, Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts.
Observational method. Design a mini data package specifying FDSN identifiers, time windows, response metadata and processing provenance. Specify the coordinate frame, observation period, relevant units, acquisition and calibration limitations before interpreting the resulting figure.
Common interpretive trap. A polished seismic map may imply certainty and should never be passed off as official hazard or earthquake forecast guidance. A neat numeric solution does not remove this interpretive ambiguity. Ask which further independent measurement could reveal whether the preferred explanation is incorrect.
Applied investigation. Write two explanations of the same model outcome: one technically precise and one accessible to non-specialists. Provide a labeled sketch, a short reproducible table and a paragraph separating observed evidence from inferred process.
Interpretation and quantitative example
Worked case 8.5: Illustrative remaining warning lead time. Synthetic input: 149.65 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 35.7571 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Evidence design and falsification
A strong evidence chain identifies what the observer physically controls. Specify waveform or map provenance, the acquisition time standard, the instrument or field method, the adopted calibration, and an independent comparison. Is the observed pattern repeatable across genuinely separate records or did it arise after multiple views of the same data? Where an observation is transformed into a calculated quantity, retain its original units and values. Write an audit note on which data would be decisive and which are merely compatible. Here, the principal source of ambiguity is stated explicitly: A polished seismic map may imply certainty and should never be passed off as official hazard or earthquake forecast guidance. Create a four-row evidence matrix: observed quantity, inferred physical quantity, principal confounder, and proposed falsifying observation. Mark an entry as measured only when acquisition metadata is known. Repeat the matrix for a second hypothesis instead of dismissing it without calculation. This discipline prevents a tidy narrative from substituting for testable physical interpretation. End the notebook by explaining how the proposed investigation (Write two explanations of the same model outcome: one technically precise and one accessible to non-specialists.) addresses at least one weakness of the primary model.
Knowledge check. (1) Which claim is directly observed and which is inferred? (2) How would an alternate model change the expected observation? (3) Which number must be accompanied by uncertainty? (4) Why is the worked result unsuitable as a real-time safety conclusion?
§8.8 Unit 8 capstone: Build a fictional earthquake information bulletin with timestamps, magnitude uncertainty, location confidence, station provenance and explicit reference to authoritative agencies. Separately audit the difference between research information, hazard scenarios, warnings and enforceable design decisions.
Research scenario: A fictional coastal municipality, regional warning network and research group exchange maps, public reports and synthetic waveforms. Students assess separate roles of scientific analysis and authorized emergency institutions. The goal is to produce a reasoned comparison of at least two defensible models, not to reverse-engineer a predetermined answer. Start by recording each input variable with units, a confidence grade and a plausible range. Name the forward calculation associated with each inference and outline how the inputs enter the formula. Preserve the fabricated dataset in its supplied CSV form and cite its generation method; these records do not correspond to real earthquakes or real sensor networks.
Procedure. First, draw a map or schematic that makes geometric assumptions visible. Second, check station or sample identifiers and the relationship of the observation period to the question. Third, compute baseline statistics and at least one worked relation by hand before using the browser model. Fourth, investigate a competing hypothesis using an independently chosen measurement or a perturbation of a consequential parameter. Fifth, repeat after withholding one doubtful observation. Compare whether the scientific conclusion survives that choice. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Required outputs. Submit a two-page technical brief with a hypothesis table, raw and corrected values, an equation inventory, an uncertainty budget, a labelled graphic and a short limitations section. Include all model parameters. Do not omit unsuccessful tests and do not represent computer-generated data as measured field observations. Students should record their own explanations rather than copying one another's interpretation. Discuss how different station distributions or sampling choices could cause an apparently significant spatial pattern without a corresponding physical change.
Extensions. Seismologists distinguish what is observed, what is inferred and what decisions belong to public agencies or licensed engineers. The classroom models supplied here do not forecast earthquakes, calculate real building safety or authorize public alerts. Write an explicit counterfactual: what observation would undermine the main hypothesis? Consider what a larger dataset could resolve and what it would leave uncertain. Finally, design an accessible presentation of the result with a descriptive figure caption, a plain-language explanation of each symbol, and a table of numerical values for readers who cannot interpret a colored graph. Re-evaluate the result against professional source and public-safety boundaries before suggesting a consequential application.
Peer-review rubric. Assign 0–4 points each for correctness of units, explicit assumptions, data provenance, comparison with alternatives, uncertainty treatment, computational reproducibility and ethical communication. A polished figure without units, or a convincing narrative without a falsifiable test, should not receive full credit. Explain in prose why the least certain input affects confidence, and identify at least one result that could change with additional observations.
Step-by-Step Statistical Simulation and Monte Carlo Solutions
Three original questions connect calculations, definitions and interpretation. Open each solution to follow the reasoning.
Worked case 8.1: Illustrative remaining warning lead time. Synthetic input: 54.65 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 8.61429 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.1: Illustrative remaining warning lead time. Synthetic input: 54.65 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 8.61429 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.2: Fifty-year probability at constant annual rate. Synthetic input: 0.018064 per year. Apply the explicitly declared relationship 100(1-Math.exp(-50x)) to obtain 59.4729 percent. Restrictions: Stationary Poisson assumption; actual hazard curves and local code decisions require experts. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.2: Fifty-year probability at constant annual rate. Synthetic input: 0.018064 per year. Apply the explicitly declared relationship 100(1-Math.exp(-50x)) to obtain 59.4729 percent. Restrictions: Stationary Poisson assumption; actual hazard curves and local code decisions require experts. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.3: Illustrative remaining warning lead time. Synthetic input: 102.15 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 22.1857 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.3: Illustrative remaining warning lead time. Synthetic input: 102.15 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 22.1857 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.4: Fifty-year probability at constant annual rate. Synthetic input: 0.030539 per year. Apply the explicitly declared relationship 100(1-Math.exp(-50x)) to obtain 78.2803 percent. Restrictions: Stationary Poisson assumption; actual hazard curves and local code decisions require experts. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.4: Fifty-year probability at constant annual rate. Synthetic input: 0.030539 per year. Apply the explicitly declared relationship 100(1-Math.exp(-50x)) to obtain 78.2803 percent. Restrictions: Stationary Poisson assumption; actual hazard curves and local code decisions require experts. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.5: Illustrative remaining warning lead time. Synthetic input: 149.65 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 35.7571 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.
Worked case 8.5: Illustrative remaining warning lead time. Synthetic input: 149.65 km. Apply the explicitly declared relationship Math.max(0,x/3.5-7) to obtain 35.7571 s. Restrictions: Vs=3.5 km/s with imposed 7 s detection+communication latency; not operational. For this worked exercise, treat the input as a declared hypothetical value rather than a measurement. Copy the formula into a fresh calculation and check the unit conversion independently. Vary the input by ten percent and decide whether the output changes proportionally or nonlinearly. Explain which real-world conditions violate the assumptions listed. If the numeric result seems implausibly precise, round it appropriately and describe a physically meaningful range instead of inventing calibration. The purpose is transparent reasoning, not an official estimate. A public-facing conclusion needs the responsible source, timestamp and boundaries. Distinguish modelled shaking from measured shaking, magnitude from impact, and a prospective alert from a retrospective interpretation. The fact that a student model renders consistently in a browser does not establish operational reliability or public authority.