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Makkah Region · Western Saudi Arabia

Najd Fault System
& Infrastructure Risk

A Five-Paper Research Programme

The Najd Fault System — the world's largest Proterozoic shear zone — runs NW–SE across western Saudi Arabia and directly controls the rock mass quality, joint fabric, and slope stability of every road cut in the region. Despite this, no quantitative framework currently exists to convert Najd structural observations into engineering-grade design parameters before a single borehole is drilled.

This five-paper programme, led by Prof. Abdullah Sabtan and Dr. Bader Sabtan, establishes that framework — from field measurement to a published regional guidance standard for KSA infrastructure.

5
Papers
18
Months
330
Joints
5
Sites
AS
Prof. Abdullah Sabtan
Geological interpretation & field data
BS
Dr. Bader Sabtan
Quantitative framework & IE methods
Programme note
This interactive document is a living research roadmap. Each phase is backed by field data already collected at five granodiorite outcrops in the Makkah region. Papers 1 and 2 can proceed to submission immediately using existing measurements. Phases II and III follow sequentially, with the final paper targeting adoption into Saudi engineering standards.
Five-paper programme · 0–18 months

Research Roadmap

Three phases converting field observations into a regional engineering standard. Expand any paper for a summary, or click “Explore” to open the full detail view.

I

Field Characterisation

Establish the geological signal and convert Najd fabric from observation into measurable structure.

Months 0–6
Paper 1

Bimodal joint population characterisation at Najd-affected road cuts, Makkah region

Circular statisticsRose diagramsField joints
Main output
Najd + Red Sea joint families
Data
5 sites · 330 joints
Methods
Rayleigh, V-test, von Mises

Proves the structural signal statistically — two distinct joint families at all 5 sites. Every later paper depends on the credibility of this foundation.

Dependency: none. This is the foundation paper.
Paper 2

Najd Intensity Index: a composite quantitative index linking structural fabric to rock-mass quality

NIIGSI/RMREngineering index
Main output
Measurable Najd intensity
Data
Paper 1 + Schmidt + GSI/RMR
Methods
Weighted index + regression

The key engineering translation — turns “Najd influence” from qualitative statement into a variable that can be mapped, compared, and tested.

Dependency: requires Paper 1 structural groups and field engineering parameters.
II

Engineering Application

Translate structural fabric into road-cut decisions, support classes, and quantified failure probability.

Months 6–12
Paper 3

Δθ zonation system: road alignment classification for Najd-controlled slope instability risk

Traffic-light mapSlope directionDecision tool
Main output
Red / amber / green slope classes
Data
NII + slope dip direction
Methods
Δθ thresholds + kinematics

Creates the practical chart: road alignment and slope dip direction become a fast screening tool for dangerous versus safer cuts.

Dependency: requires Paper 1 joint direction and Paper 2 intensity classification.
Paper 4

Probabilistic slope stability in Najd-affected terrain through the Schmidt–GSI–Hoek-Brown–FS chain

Monte CarloProbability of failureUncertainty
Main output
P(failure), not only FS
Data
All sites + variability
Methods
Monte Carlo simulation

Where the project becomes quantitatively defensible — shows how uncertainty moves through the entire engineering chain from measurement to design.

Dependency: requires NII, Δθ classes, GSI/RMR, and slope geometry assumptions.
III

Regional Synthesis

Scale the method from local road cuts to a regional screening framework for western Saudi infrastructure.

Months 12–18
Paper 5

Najd Fault System as a first-order engineering geology control for infrastructure in western Saudi Arabia

Regional frameworkGIS layerPolicy-facing
Main output
Regional planning framework
Data
Papers 1–4 + expanded sites
Methods
Synthesis + GIS screening

The capstone paper. Argues that Najd fabric assessment should become an early screening layer for roads, tunnels, and linear infrastructure across the Kingdom.

Dependency: requires all previous outputs and additional validation sites.
Programme outcome

From fracture measurements to a quantified index, from an index to a road-cut decision chart, and from the chart to regional infrastructure risk guidance for western Saudi Arabia.

I
Phase I of III — Field Characterisation
Structural Characterisation & Index Development
Months 0–62 papers 330 joints · 5 sitesGranodiorite · Makkah region

Establishes the bimodal Najd/Red Sea joint signature statistically and formalises the first measurable Najd Intensity Index. Both papers can proceed to submission immediately using data already collected.

Filter by author
AS
Prof. Abdullah Sabtan
BS
Dr. Bader Sabtan
⚛ Animated React view →
Paper 1

Bimodal joint population characterisation at Najd-affected road cuts, Makkah region

Structural geologyCircular statisticsField data
Target journal
Journal of Structural Geology
Alternatives
Engineering Geology
Arabian Journal of Geosciences
J. Geophysical Research – Solid Earth
Tectonophysics
Data status
Complete — 5 sites, 330 joints
Timeline
3–5 months to submission

Two statistically distinct joint families co-exist at all 5 sites — Najd (NW–SE, R̄≈0.98–1.00) and Red Sea (NE–SW). Site 2 shows Red Sea more coherent than Najd, indicating overprinting. Site 5 is a three-way mixture: Najd 39%, Red Sea 18%, unclassified 42%.

Author contributions — click a name to focus
AS
Prof. Abdullah Sabtan
Lead · geological interpretation
focus
  • Led all field data collection at 5 granodiorite outcrops along Makkah region road cuts — dip and dip direction recorded per joint plane
  • Identified and interpreted the bimodal joint fabric as evidence of two distinct tectonic episodes separated by ~600 Ma
  • Established the geological argument for Site 2 overprinting: Cenozoic Red Sea rifting reactivating older Najd joint planes
  • Provided regional structural context linking joint orientations to the Najd shear corridor and Precambrian basement fabric
BS
Dr. Bader Sabtan
Co-author · circular statistics
focus
  • Applied Rayleigh test and V-test to all 330 measurements — confirmed non-uniform distribution at 4 of 5 sites (p < 0.05)
  • Fitted von Mises distributions to each joint family, computing mean direction μ and concentration κ per population per site
  • Decomposed Site 5's apparent randomness: Najd 39% (R̄=0.99), Red Sea 18% (R̄=0.43), unclassified 42% — explaining pooled Rayleigh p=0.228
  • Computed R̄ values ranging 0.07–1.00, identifying the Najd family as more concentrated across all sites
BSRayleigh test
Tests for preferred direction. Z-statistic from R̄. Low p < 0.05 = significant preferred direction.
BSVon Mises fitting
Circular normal per joint family. Estimates μ and κ. Higher κ = tighter cluster.
ASRose diagrams
Circular frequency plots in 10° bins, one per site, colour-coded by family.
ASBimodal mixture
Najd (110–165°) vs Red Sea (030–075°) decomposition at each outcrop.
BSR̄ values
Mean resultant length 0–1. R̄≈0.99 = very tight; R̄≈0.07 = scattered.
AS5 sites · 330 joints
Scanline surveys across 5 granodiorite outcrops. Dip angle and direction recorded per joint plane.
Paper 2

Najd Intensity Index (NII): a composite quantitative index linking structural fabric to rock mass quality

Engineering geologyIndex developmentIE methods
Target journal
Engineering Geology
Alternatives
Rock Mechanics and Rock Engineering
Intl. J. Rock Mechanics & Mining Sciences
Geomechanics and Geoengineering
Geotechnical and Geological Engineering
Data status
Paper 1 results + Schmidt + GSI/RMR
Timeline
4–6 months (after Paper 1)

Formally defines the NII as a weighted composite of R̄, %Najd joints, joint frequency, Schmidt hammer R, and weathering grade W. Calibrates NII against GSI/RMR across 5 sites — filling the field's biggest gap: "Najd intensity" used qualitatively everywhere but never formally measured.

Author contributions — click a name to focus
AS
Prof. Abdullah Sabtan
Co-author · geological interpretation
focus
  • Provided geological constraints bounding NII weight ranges — preventing combinations inconsistent with Najd fault mechanics and field observation
  • Validated index outputs against field rock mass assessments at all 5 sites, flagging cases where NII conflicted with observed conditions
  • Interpreted the GSI/RMR gradient across sites as a proxy for proximity to active Najd shear zones and degree of cataclastic overprinting
BS
Dr. Bader Sabtan
Lead · index development
focus
  • Designed the NII formula: NII = w₁·R̄ + w₂·%Najd + w₃·JF + w₄·R_schmidt + w₅·W_grade
  • Built Pearson correlation matrix identifying R̄ and %Najd as dominant predictors and Schmidt R and weathering grade as complementary inputs
  • Ran constrained regression of NII against GSI and RMR across 5 sites, achieving R² > 0.85 within geologically bounded weight ranges
  • Converted Schmidt rebound R to UCS via Deere-Miller chart (mean R=46–49 → UCS≈80–110 MPa)
BSNII formula
NII = w₁·R̄ + w₂·%Najd + w₃·JF + w₄·R_schmidt + w₅·W_grade. Weights optimised by regression against GSI.
BSSchmidt → UCS
R converted via Deere-Miller chart. Mean R=46–49 gives UCS≈80–110 MPa.
BSGSI/RMR regression
Pearson regression of NII against field GSI and RMR. Target R²>0.85 for validation.
BSPearson correlation
Full matrix across all parameters. Identifies redundant inputs before weight optimisation.
ASWeight optimisation
Geological judgement constrains weight ranges — prevents NII inconsistent with Najd mechanics.
II
Phase II of III — Engineering Application
Δθ Zonation & Probabilistic Stability
Months 6–122 papers Depends on Phase I outputs12 road-cut slopes

Converts the NII into a practical road alignment risk tool and a probabilistic slope stability model. These papers are the engineering core of the programme — moving from structural description to quantified design parameters and probability of failure.

Filter by author
AS
Prof. Abdullah Sabtan
BS
Dr. Bader Sabtan
Paper 3

Δθ zonation system: road alignment classification for Najd-controlled slope instability risk

Slope engineeringTraffic-light classificationDecision tool
Target journal
Bulletin of Engineering Geology
Alternatives
Engineering Geology
Landslides
Natural Hazards and Earth System Sciences
Geotechnical and Geological Engineering
Data status
NII from Paper 2 + slope surveys needed
Timeline
6–9 months

Formalises the Red/Amber/Green classification based on Δθ — the angle between slope dip direction and dominant Najd joint dip direction. Derives threshold values statistically rather than by rule-of-thumb. Builds a decision matrix mapping (Δθ, slope height, weathering grade, NII) to required support level. Applied to 12 road-cut slopes in the Makkah region.

✎ In progress — slope orientation surveys and kinematic analysis to be completed after Paper 2 submission.
Author contributions — click a name to focus
BS
Dr. Bader Sabtan
Lead · decision tool design
focus
  • Design and derivation of the Δθ classification formula: Δθ = min(|slope–300°|, 360°–|slope–300°|)
  • Statistical optimisation of threshold values (20° and 60°) using ROC analysis against observed failure and stability records at 12 road cuts
  • Construction of the 4D decision matrix: (Δθ) × (slope height) × (NII) × (weathering grade) → support intervention level
  • Stereonet kinematic analysis for planar and wedge failure modes at each classified slope orientation
AS
Prof. Abdullah Sabtan
Co-author · field validation
focus
  • Field measurement of dip direction, height, and stability condition for all 12 road-cut slopes along Makkah alignments
  • Ground-truthing of Red/Amber/Green classifications against observed failure evidence and maintenance records
  • Geological interpretation of anomalous classifications where Δθ predicts safety but observed instability exists — identifying confounding local joint sets
BSΔθ formula
Angular difference between slope dip direction and dominant Najd joint dip direction. Core kinematic predictor of failure mode.
BSRed/Amber/Green
Green: Δθ>60°. Amber: 20–60°. Red: ≤20° (planar or wedge failure likely along Najd joints).
BSROC analysis
Receiver operating characteristic used to statistically derive optimal Δθ cutoffs from observed slope performance data.
BSDecision matrix
4D matrix mapping (Δθ) × (height) × (NII) × (weathering) → recommended support level.
AS12 road cuts
Field-measured slope orientations along Makkah region alignments. Dip, height, and stability recorded per slope.
Paper 4

Probabilistic slope stability in Najd-affected terrain: Monte Carlo propagation through the Schmidt–GSI–Hoek-Brown–FS chain

Uncertainty quantificationProbability of failureMonte Carlo
Target journal
Rock Mechanics & Rock Engineering
Alternatives
Intl. J. Rock Mechanics & Mining Sciences
Computers and Geotechnics
Georisk: Assessment & Management of Risk
Engineering Geology
Data status
All 5 sites + variability from Papers 1–3
Timeline
8–12 months

Takes the deterministic design chain — Schmidt → UCS → GSI → Hoek-Brown → Factor of Safety — and propagates uncertainty through every step using Monte Carlo simulation (n=1,000). Outputs P(failure) rather than a single FS value, showing how probability varies with NII and Δθ across all 5 sites.

✎ In progress — requires completion of Papers 1–3. Input distribution parameters to be derived from site variability data.
Author contributions — click a name to focus
BS
Dr. Bader Sabtan
Lead · probabilistic modelling
focus
  • Design and implementation of the Monte Carlo simulation framework (n=1,000 per site) propagating uncertainty from Schmidt R through UCS, GSI, Hoek-Brown parameters to FS
  • Definition of input distributions: Schmidt R (±5%), weathering grade (±1 class), GSI (±8 points) — derived from within-site measurement variability
  • Computation of P(failure) = P(FS < 1.0) per site and per Δθ class, with full FS distribution, mean, standard deviation, and 5th percentile reported
  • Sensitivity analysis identifying which input parameter dominates P(failure) variation at each NII level
AS
Prof. Abdullah Sabtan
Co-author · geological interpretation
focus
  • Selection and justification of disturbance factor D in Hoek-Brown criterion based on blasting practice and rock mass condition at each site
  • Geological interpretation of cases where P(failure) diverges from Δθ prediction — identifying secondary control factors (groundwater, weathering chimneys)
  • Cross-check of probabilistic outputs against field-observed failure rates and maintenance records along Makkah road alignments
BSMonte Carlo n=1,000
1,000 random draws per site from input distributions. Output: full FS histogram, mean, 5th percentile, P(FS<1.0).
BSP(failure)
Probability FS<1.0 across the Monte Carlo sample. Replaces single deterministic FS for risk-informed design.
ASHoek-Brown
Non-linear rock mass failure criterion. Parameters m_b, s, a from GSI and UCS. Factor D requires geological judgement.
BSSensitivity analysis
Identifies which input (Schmidt R, GSI, weathering) drives P(failure) most at each NII level.
BSFS distribution
Full probability distribution of FS. Mean, std dev, 5th percentile, and P(failure) reported per site and Δθ zone.
III
Phase III of III — Regional Synthesis
Regional Framework & Policy Integration
Months 12–181 paper Depends on all prior papersKSA infrastructure policy

The capstone paper synthesises the NII, Δθ zonation, and probabilistic framework into a unified regional guidance document. The goal is for Najd fabric assessment to become a mandatory pre-drilling screening step in KSA infrastructure planning — adopted into Saudi engineering standards.

Filter by author
AS
Prof. Abdullah Sabtan
BS
Dr. Bader Sabtan
Paper 5

Najd Fault System as a first-order engineering geology control for infrastructure in western Saudi Arabia: a regional framework

Review articleRegional synthesisPolicy-facing
Target journal
Engineering Geology (review)
Alternatives
Earth-Science Reviews
Quarterly Journal of Engineering Geology and Hydrogeology
Geomorphology
Arabian Journal of Geosciences
Data status
All 4 prior papers + expanded site network
Timeline
12–18 months

Synthesises the NII, Δθ zonation system, and probabilistic FS framework into a unified regional guidance document for infrastructure planners across KSA. Argues for incorporating Najd fabric assessment as a mandatory pre-drilling screening step for road, tunnel, and linear infrastructure projects. This is the paper that gets cited by engineering standards bodies.

✎ Planned — will begin after Papers 3 and 4 are accepted. Additional validation sites beyond the 5 Makkah outcrops are recommended before submission.
Author contributions — click a name to focus
AS
Prof. Abdullah Sabtan
Lead · regional synthesis
focus
  • Lead author and programme architect — the regional synthesis reflects Prof. Sabtan's original vision of the Najd system as a first-order engineering design variable
  • Geological argument for extending the framework beyond the 5 Makkah sites to the wider NW–SE Najd belt across western Saudi Arabia
  • Recommendations for integration with Saudi Building Code and Ministry of Transport geotechnical guidelines for linear infrastructure
  • Identification of additional validation sites in Madinah, Taif, and Abha corridors to strengthen regional applicability
BS
Dr. Bader Sabtan
Co-author · quantitative framework
focus
  • Integration of NII, Δθ zonation, and Monte Carlo P(failure) outputs into a single pre-drilling screening workflow applicable at corridor planning stage
  • GIS spatial analysis pipeline: GPS coordinates + slope measurements + Najd reference direction → automated Red/Amber/Green corridor map output
  • Cost–benefit case demonstrating that early Najd screening reduces total investigation cost by concentrating boreholes in high-NII corridors
  • Proposed standard investigation protocol: remote sensing lineament analysis → NII field screening → targeted borehole campaign → Δθ design assessment
ASRegional framework
Unified guidance integrating NII, Δθ zonation, and probabilistic FS into a single pre-drilling screening protocol for KSA infrastructure planners.
BSGIS pipeline
Spatial analysis: GPS + slope data + Najd reference → automated corridor risk map. Scalable to any Najd-affected alignment.
ASKSA standards
Proposed integration with Saudi Building Code and Ministry of Transport geotechnical guidelines for linear infrastructure.
BSCost–benefit
Demonstrates investigation cost reduction by concentrating boreholes in high-NII Najd corridors rather than uniform spacing.
ASExpanded sites
Additional validation recommended in Madinah, Taif, and Abha corridors to confirm regional applicability of the NII thresholds.
End of programme — all phases documented
Phase I · Paper 1 · Writing Guide

Bimodal Joint Population Characterisation
at Najd-affected Road Cuts, Makkah Region

Target: Journal of Structural Geology — 3–5 months to submission

Scope
This paper covers
  • Statistical proof that two distinct joint families co-exist at all five sites
  • Separation of Najd (NW–SE) and Red Sea (NE–SW) families by orientation and concentration
  • Site-by-site mean direction, R̄, and κ per family
  • Geological interpretation of Site 2 overprinting and Site 5 three-way mixture
  • Rose diagrams and a summary statistics table for all 330 measurements
This paper does not cover
  • The Najd Intensity Index or any engineering rating — Paper 2
  • Slope stability, kinematic analysis, or failure modes — Paper 3
  • Spatial zonation or risk mapping — Papers 4–5
  • Geotechnical design parameters or support class recommendations
Data at a glance
330
Joint measurements
5
Granodiorite sites
2
Joint families
4/5
Sites p < 0.05
Paper sections
1
Abstract
State the problem (no rigorous statistical characterisation of Najd joint fabric at site scale), the data (330 measurements, 5 granodiorite outcrops), the methods (Rayleigh, V-test, von Mises), and the finding (bimodal fabric confirmed at all sites; Site 2 Red Sea overprint; Site 5 three-way mixture). Close with significance: this is the quantitative foundation for the NII in Paper 2.
~150 words
2
Introduction
Establish why joint fabric matters for road-cut infrastructure in western KSA. Name the gap: the Najd Fault System is invoked qualitatively in nearly every regional engineering study, yet no published work statistically confirms and separates its bimodal joint signature at site scale. State two objectives: (1) confirm non-uniformity at each site; (2) separate and characterise the two families.
~400 words2–3 key references
3
Geological Setting
Two tectonic episodes. (A) Najd Fault System: Proterozoic sinistral transpression ~600 Ma, NW–SE shear corridor, imprinting the persistent NW-trending joint set. (B) Cenozoic Red Sea rifting ~30 Ma, NE–SW extension, creating the subordinate but locally dominant NE-trending set. Describe the Precambrian granodiorite basement as the host rock at all five sites — lithological uniformity is a strength that isolates structural from lithological variation.
~350 wordsRegional geology map
4
Study Sites
Brief description of each of the five road-cut outcrops: location, coordinates, exposure length, rock condition. Include a location map (Figure 1). All sites are in granodiorite; note this as a controlled variable that strengthens the structural interpretation.
Table 1 · site summaryFigure 1 · location map
5
Field Methodology
Describe the scanline survey protocol. For each joint plane: dip angle and dip direction recorded. State total measurements per site. Note whether joint families were separated in the field or post-hoc in analysis. Keep this replicable — a reader must be able to repeat the survey at a new site with the same equipment and protocol.
~250 words
6
Statistical Methods
Introduce circular statistics as the appropriate framework for directional data. Define: (a) R̄ mean resultant length as a concentration metric; (b) Rayleigh test for non-uniformity — null hypothesis, Z-statistic, p-value threshold; (c) V-test for clustering toward a hypothesised direction; (d) von Mises distribution — μ and κ, fitting procedure; (e) rose diagram construction in 10° bins. Cite Fisher (1993) or Mardia & Jupp.
~400 wordsCite Fisher 1993
7
Results
Site by site: rose diagram, Rayleigh p-value, and per-family R̄, μ, κ. Call out Site 2 explicitly (Red Sea R̄ exceeds Najd — overprinting evidence) and Site 5 (pooled Rayleigh p=0.228; decomposition yields Najd 39%, Red Sea 18%, unclassified 42%). Close with Table 2 summarising all sites and families.
Table 2 · stats summaryFigures 2a–2e · rose diagrams
8
Discussion
Three threads. (1) Why bimodal is expected: two tectonic episodes ~600 Ma apart should leave two independent joint sets; the data confirms this. (2) Site 2: argue that stronger Red Sea coherence reflects Cenozoic reactivation or proximity to a rift-related structure. (3) Site 5: interpret the three-way mixture as a structural transition zone, possibly at a shear-zone boundary. Note that Najd R̄ ≈ 0.98–1.00 across sites makes it a reliable input to the NII in Paper 2.
~500 words
9
Conclusions
Four points: (1) non-uniform distribution confirmed at 4 of 5 sites (p < 0.05); (2) bimodal fabric present at all sites — Najd NW–SE dominant, Red Sea NE–SW subordinate; (3) Site 2 Red Sea overprint, Site 5 structural complexity requiring family decomposition; (4) confirmed families form the quantitative input foundation for the Najd Intensity Index in Paper 2.
~150 words
Statistical methods reference
Rayleigh Test
Non-uniformity · primary test
Tests whether joint azimuths differ from uniform. Statistic Z = n · R̄². A p-value < 0.05 rejects randomness and confirms a preferred direction exists at the site.
Applied to pooled per-site data at all 5 sites
V-test
Directional · targeted test
One-tailed Rayleigh variant that tests clustering toward a specific hypothesised bearing. Use to formally test whether data clusters toward Najd (~135°) or Red Sea (~050°). Strengthens the directional argument beyond Rayleigh alone.
Useful where the Rayleigh test is borderline
Von Mises Fitting
Distribution · per family per site
Circular analogue of the normal distribution. μ = mean direction; κ = concentration (higher = tighter cluster). Fit separately to each family at each site to characterise rather than just detect the preferred direction.
10 fits: 5 sites × 2 families
R̄ Mean Resultant Length
Concentration metric · range 0–1
Length of the mean resultant vector. R̄ ≈ 1.00 = all measurements in the same direction. R̄ ≈ 0.07 = scattered. The Najd family yields R̄ = 0.98–1.00 across sites; this consistency is the key finding that validates the family as a reliable index input.
Core diagnostic separating the two families
Key findings to report
SiteNajd R̄Najd μRed Sea R̄Rayleigh pNote
Site 1~0.99~135°Subordinate< 0.05
Site 2Lower> Najd< 0.05Red Sea overprint
Site 3~0.98~135°Subordinate< 0.05
Site 4~1.00~135°Subordinate< 0.05
Site 50.99 (39%)0.43 (18%)0.228 pooled42% unclassified · 3-way mixture
Figures checklist
1
Study area location map
Makkah region with the five outcrop locations marked. Inset showing the Najd Fault System corridor (NW–SE) and Red Sea rift axis. The map should convey regional tectonic context at a glance — reviewers will look here first.
2
Rose diagrams — Sites 1 to 5
One diagram per site in 10° bins, colour-coded by family (teal = Najd, rust = Red Sea). Present as a 2×3 panel or a 1×5 strip. Site 5 should include the three-class decomposition. This is the paper’s core visual.
3
Summary statistics table (Table 2)
n, R̄, μ, κ, and Rayleigh p-value for each family at each site. Likely a table rather than a figure, but this is the first thing a reviewer will check — values must be internally consistent with the rose diagrams.
4
Stereonet plot (optional)
Equal-area lower-hemisphere plot of all 330 poles to joint planes, coloured by family. Strong visual for a structural geology journal. Requires Stereonet or OpenStereo software. Include if time allows; skip if it delays submission.
Data complete — ready to draft