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eligible same-cluster site: test cannot be run"},"rank_long_contrast_trend":{"k":0,"n_as_extreme":null,"p_exact":null,"k_below_19":true,"placebo_p5_p95":null,"note":"no eligible same-cluster site: test cannot be run"},"note":"only 0 eligible same-cluster sites of width 5 in this AOI (minimum 19): the AOI would have to be re-read wider to reach 19; for a cluster confined to the cove, a wider AOI would not add same-cluster sites"},"event_study":{"status":"not run: no wall date yet (A1 rule). Pre-trend comparison (H3) reported instead."}},"wall_3":{"transects":["T102","T103","T104","T105","T106"],"similarity_controls":{"controls":["T147","T143","T116","T019","T142","T138","T144","T137","T141","T023"],"cluster":2,"from_same_cluster":true,"features":["rate 1984–2015 (m/yr)","S2 annual amplitude (m)","median storm step (m)","shore-normal azimuth 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1 eligible same-cluster sites of width 3 in this AOI (minimum 19): the AOI would have to be re-read wider to reach 19; for a cluster confined to the cove, a wider AOI would not add same-cluster sites"},"event_study":{"status":"not run: no wall date yet (A1 rule). Pre-trend comparison (H3) reported instead."}},"placement_loss":{"walls_1_2":{"class":"wall","observed_width_change_m":-0.5,"n_transects":9,"control_width_change_m":-0.9,"observed_minus_control_m":0.4,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]},"wall_3":{"class":"wall","observed_width_change_m":6.7,"n_transects":5,"control_width_change_m":-0.9,"observed_minus_control_m":7.7,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]},"deck_2":{"class":"deck","observed_width_change_m":-5.1,"n_transects":5,"control_width_change_m":-0.9,"observed_minus_control_m":-4.2,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]},"deck_1":{"class":"deck","observed_width_change_m":-6.9,"n_transects":3,"control_width_change_m":-0.9,"observed_minus_control_m":-6,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]}}},"evidence_ladder":{"E0":"observation","E1":"association","E2":"temporal consistency","E3":"counterfactual support","E4":"physical mechanism","E5":"surf transformation (morphology change in the wave-sensitive footprint plus modelled and observed breaking change)","E6":"replication across structures/events","ceiling_this_record":"shoreline: at most E3–E4 (E3 needs wall dates and passed placebos; E4 needs profiles/toe elevations). E5 is out of reach of satellites: no bathymetry, no peel angle, no section length."},"firewall_wave_D3":{"cutoff_utc":"2026-09-21","note":"images acquired on/after the cutoff are excluded from every number on this page and kept, unsummarised, in separate files","n_post_event_images":0},"d3_comparable_days":{"era5":{"p99_kw_m":39.6,"record":"1979–2026 ERA5 daily at the 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(2019). CoastSat: a Google Earth Engine-enabled Python toolkit to extract shorelines from publicly available satellite imagery. Environmental Modelling & Software 122:104528.","steps":["Planetary Computer STAC: sentinel-2-l2a tile 14QKE (2015–2026) and landsat-c2-l2 (Landsat 5/7/8/9, 1984–2026), scenes with tile cloud cover ≤ 70%; windowed COG reads of a 5.8 × 7.2 km box only","cloud/shadow: S2 SCL classes 3, 8, 9, 10; Landsat QA_PIXEL bits 1–4; blobs < 0.5 ha dropped (whitewater and wet sand are often mislabelled cloud), then dilated 1 px; scenes with > 60% of the box bad skipped","MNDWI = (green − SWIR1)/(green + SWIR1); Otsu threshold on the clear pixels within 200 m of the reference shoreline; marching-squares contour at that threshold","151 shore-normal transects, 1 km long, every 50 m and every 25 m over the named frontages, normals from a 200 m-smoothed median shoreline; shoreline = median chainage of contour points within 10 m (S2) / 18 m (Landsat) of the transect; rejected if their IQR > 25 m / 45 m or if the transect is cloudy","image kept if ≥ 80% of transects valid; per-transect points > 3 scaled MADs (floor 5 m) from an 11-image rolling median removed","water level: tide from the site harmonic model at each image time (UTC) plus Stockdon (2006) setup from ERA5 Hs/Tm; effective slope from a Huber regression of the waterline’s rolling-median residual on tide and √(H0L0), by region × season where they differ; shift = (tide + setup)/tanβ","Landsat put on the S2 datum by the median L − S2 difference on images ≤ 3 days apart; results also reported Landsat-only, S2-only and for a high-quality subset (Landsat 7 SLC-off excluded)","rates: Theil–Sen on annual medians (years with ≥ 3 clear shorelines); 95% intervals from 1,000 Monte Carlo draws (tide, slope, setup coefficient, georegistration) with images bootstrapped within years; trend forms (linear, hinge, spline) compared by leave-one-year-out error","storms: ERA5 events above the local p95 of daily peak power, with integrated power, duration, direction, period, antecedent energy and longshore component; TC vs southern-swell regimes from HURDAT2; step = first clear S2 image ≤ 30 days after minus the 45-day pre-event median; recovery E(τ) = E0·exp(−τ/τr)","walls and decks: controls chosen by pre-treatment similarity within correlation clusters of transect anomalies; synthetic controls; placebo reaches in space and fake dates in time; flank contrasts both sides; exposure surface E = [L/(L+d)]·side·activation","vegetation line: most seaward NDVI > 0.3 landward of the waterline; beach width = waterline − vegetation line"],"steps_es":["STAC del Planetary Computer: sentinel-2-l2a mosaico 14QKE (2015–2026) y landsat-c2-l2 (Landsat 5/7/8/9, 1984–2026), escenas con nubosidad ≤ 70 %; solo lecturas por ventana de una caja de 5.8 × 7.2 km","nubes/sombras: clases SCL 3, 8, 9, 10 de S2; bits 1–4 de QA_PIXEL de Landsat; manchas < 0.5 ha descartadas (la espuma y la arena mojada suelen marcarse como nube), luego dilatadas 1 px; escenas con > 60 % de la caja mala se omiten","MNDWI = (verde − SWIR1)/(verde + SWIR1); umbral de Otsu en los pixeles despejados a menos de 200 m de la orilla de referencia; contorno por marching squares en ese umbral","151 transectos perpendiculares de 1 km, cada 50 m y cada 25 m frente a las propiedades, con normales de una orilla mediana suavizada a 200 m; orilla = mediana de la distancia de los puntos del contorno a menos de 10 m (S2) / 18 m (Landsat) del transecto; se rechaza si su rango intercuartil > 25 m / 45 m o si el transecto está nublado","imagen aceptada si ≥ 80 % de los transectos son válidos; puntos a más de 3 MAD escaladas (mínimo 5 m) de una mediana móvil de 11 imágenes se quitan","nivel del agua: marea del modelo armónico del sitio a la hora de cada imagen (UTC) más la sobreelevación de Stockdon (2006) con Hs/Tm de ERA5; pendiente efectiva de una regresión de Huber del residuo de la orilla sobre la marea y √(H0L0), por región × temporada donde difieren; corrimiento = (marea + sobreelevación)/tanβ","Landsat llevado al datum de S2 con la diferencia mediana L − S2 en imágenes a ≤ 3 días; resultados también solo Landsat, solo S2 y un subconjunto de alta calidad (sin Landsat 7 SLC-off)","tasas: Theil–Sen sobre medianas anuales (años con ≥ 3 orillas); intervalos de 95 % con 1,000 simulaciones Monte Carlo (marea, pendiente, coeficiente de sobreelevación, georreferenciado) remuestreando imágenes dentro de cada año; formas de tendencia (lineal, bisagra, spline) comparadas por error dejando-un-año-fuera","tormentas: eventos ERA5 sobre el p95 local de la potencia diaria, con potencia integrada, duración, dirección, periodo, energía antecedente y componente a lo largo de la costa; regímenes ciclón tropical vs mar de fondo del sur con HURDAT2; escalón = primera imagen S2 despejada ≤ 30 días después menos la mediana de 45 días previos; recuperación E(τ) = E0·exp(−τ/τr)","muros y terrazas: controles elegidos por similitud previa dentro de grupos de correlación de anomalías; controles sintéticos; tramos placebo en el espacio y fechas falsas en el tiempo; contrastes de flancos a ambos lados; superficie de exposición E = [L/(L+d)]·lado·activación","línea de vegetación: el NDVI > 0.3 más hacia el mar detrás de la orilla; ancho de playa = orilla − línea de vegetación"]},"caveats":["Per-image waterline noise is about 6.8 m (Sentinel-2) and 6.7 m (Landsat) as a standard deviation around each transect's running median; no change smaller than about twice that is reported as a change.","The satellite waterline is the instantaneous land/water edge (wet sand, swash and foam included), not a surveyed contour. Tide and wave setup (Stockdon et al. 2006) are corrected; run-up/swash is carried as uncertainty, not removed.","The effective beach slope (tanβ ≈ 0.046, estimated from Sentinel-2 (tide coefficient of the rolling-residual regression)) comes from the waterline's own response to tide at overpass. Overpasses fall at about 10:30–11:10 local, so the tide sampled is a narrow slice (SD 0.155 m). None of this is validated against ground surveys yet: that needs RTK profiles taken on Sentinel-2 overpass days.","Cloud cover makes the record dry-season heavy (November–May); wet-season storms are seen after the fact, often weeks later.","Landsat 5/7 geolocation is good to roughly half a pixel (~15 m) scene to scene; the 1984–2014 part of the long record is noisier than the Sentinel-2 part, and SLC-off Landsat 7 stripes (2003–2022) remove transects on many dates.","At 10–30 m a boulder revetment, a sand beach and a rock point can all hold a waterline; the imagery cannot say which is which. Wall locations and dates must come from the ground or from dated high-resolution imagery.","Property positions are Google Maps place pins (±30 m); Wall 1 and Wall 2 pins are ~12 m apart, so their frontages share transects until the owner marks the boundaries.","Nothing here measures the sea floor. The surf zone is too turbid and too foamy for satellite-derived bathymetry; a changed bottom would show only indirectly, as a moved breaker line."],"sources":["Microsoft Planetary Computer STAC: sentinel-2-l2a, landsat-c2-l2 (USGS Collection 2 Level-2)","ERA5-Wave hourly waves at the nearest offshore node (17.5°N, 102.0°W), reduced to daily (Copernicus Climate Change Service)","HURDAT2 NE Pacific 1949–2025 (NOAA NHC)","La Saladita harmonic tide model (UHSLC Zihuatanejo gauge 687)","Google Maps place records for the property pins"]},"generated_at":"2026-09-27T23:46:19+00:00","title":"Shoreline change at La Saladita from Landsat and Sentinel-2, 1984–2026","aoi":{"epsg":32614,"bbox_utm":[203600,1971200,209400,1978400],"bbox_lonlat":[-101.79594,17.80839,-101.74227,17.87417],"break_lonlat":[-101.77023,17.84036],"coast_km":6.6,"arc_convention":"metres along the coast from the break, + = north-west (towards Wall 3 and La Unión), − = south-east (towards Troncones)","quicklook":{"path":"/findings/shoreline/aoi.jpg","date":"2026-02-22","scene":"S2C_MSIL2A_20260222T171321_R112_T14QKE_20260222T203909","width_px":580,"height_px":720,"x0":203600,"y0":1978400,"px_m":10,"bytes":60824}},"properties":{"wall_1":{"lonlat":[-101.76861,17.8414],"note":"Wall 1 (hostel/surf school), in front of the main peak; owner reports rock armouring","class":"wall","transects":["T069","T070","T071","T072"]},"wall_2":{"lonlat":[-101.76863,17.84151],"note":"Wall 2 (seafood restaurant), next to Wall 1; owner reports rock armouring","class":"wall","transects":["T069","T070","T071","T072","T073"]},"Wall 3":{"lonlat":[-101.77296,17.85329],"note":"Wall 3 Lasal hotel, ~1.5 km NW of the break; owner reports a wall built summer 2026","class":"wall","transects":["T102","T103","T104","T105","T106"]},"Deck 2":{"lonlat":[-101.76927,17.83975],"note":"MAREA restaurant, in the cove; owner reports a deck on concrete pillars on the beach","class":"deck","transects":["T061","T062","T063","T064","T065"]},"Deck 1":{"lonlat":[-101.76926,17.84067],"note":"Deck 1 Bar & Grill, in the cove; owner reports a deck on concrete pillars on the beach","class":"deck","transects":["T066","T067","T068"]}},"images":{"S2":{"catalogue":622,"downloaded":549,"used":348,"first":"2015-12-17","last":"2026-09-10"},"L5":{"catalogue":240,"downloaded":192,"used":146,"first":"1985-09-26","last":"2011-01-21"},"L7":{"catalogue":660,"downloaded":539,"used":34,"first":"1999-07-23","last":"2023-09-30"},"L8":{"catalogue":679,"downloaded":552,"used":177,"first":"2013-04-16","last":"2026-05-22"},"L9":{"catalogue":273,"downloaded":230,"used":86,"first":"2021-11-16","last":"2026-05-30"}},"rejected":{"lt80_valid":1106,"no_band_or_contour":0},"outliers_removed_points":8587,"noise":{"S2":{"n_images":348,"sd_m":6.8,"mad_sd_m":6},"L5":{"n_images":146,"sd_m":7,"mad_sd_m":5.3},"L7":{"n_images":34,"sd_m":7.7,"mad_sd_m":5.7},"L8":{"n_images":177,"sd_m":6.7,"mad_sd_m":4.9},"L9":{"n_images":86,"sd_m":6,"mad_sd_m":4.8}},"beach_slope":{"model":"R_ij = a + b_tide·tide_i + b_setup·sqrt(H0L0)_i, R = waterline minus its ±5-image rolling median; Huber IRLS; SE clustered by image","pooled_all_sensors":{"b_tide":-20.888,"se_tide":0.832,"b_setup":-0.333,"se_setup":0.045,"n":110854,"n_images":791},"sentinel2":{"b_tide":-21.54,"se_tide":1.487,"b_setup":-0.215,"se_setup":0.075,"n":48480,"n_images":348},"tanb_estimated":0.046,"tanb_used":0.046,"source":"estimated from Sentinel-2 (tide coefficient of the rolling-residual regression)","tanb_by_region_season":{"SE_dry":{"tanb":0.055,"b_tide":-18.1,"se":2.1,"z_vs_pooled":1.35,"b_setup":-0.21,"se_setup":0.11,"n_images":268},"SE_wet":{"tanb":0.033,"b_tide":-30,"se":5.2,"z_vs_pooled":1.57,"b_setup":0.21,"se_setup":0.19,"n_images":80},"cove_dry":{"tanb":0.046,"b_tide":-21.9,"se":1.6,"z_vs_pooled":0.17,"b_setup":-0.2,"se_setup":0.07,"n_images":268},"cove_wet":{"tanb":0.033,"b_tide":-30.6,"se":3.8,"z_vs_pooled":2.22,"b_setup":0.01,"se_setup":0.21,"n_images":80},"NW_dry":{"tanb":0.06,"b_tide":-16.6,"se":1.7,"z_vs_pooled":2.18,"b_setup":-0.32,"se_setup":0.09,"n_images":268},"NW_wet":{"tanb":0.038,"b_tide":-26.5,"se":4.2,"z_vs_pooled":1.11,"b_setup":0.15,"se_setup":0.17,"n_images":80}},"slope_varies_by_region_season":true,"setup_coef_empirical_horizontal":0.22,"setup_coef_stockdon_horizontal":0.35,"tide_sd_at_overpass_m":0.155,"tide_range_at_overpass_m":[-0.41,0.38],"setup_m_median":0.24,"setup_by_regime":{"groundswell":{"n_images":204,"coef_empirical":0.455,"se":0.189,"used":0.455,"source":"empirical (|b| > 2 SE)"},"cyclone swell":{"n_images":78,"coef_empirical":0.682,"se":0.332,"used":0.682,"source":"empirical (|b| > 2 SE)"},"mixed / wind sea":{"n_images":509,"coef_empirical":0.069,"se":0.112,"used":0.35,"source":"Stockdon 0.35 (empirical not determined)"}}},"landsat_s2_bias":{"n_pairs":143,"median_L_minus_S2_m":-3.71,"iqr_m":[-6,-1.11]},"north_star":"Has human shoreline modification changed the morphology that creates La Saladita's wave, beyond what storms and natural variability explain?","wave_detection":{"n_images":467,"point_transects":["T035","T075"],"point_arc_m":[-1250,250],"forcing_cells":{"wave_cell":[17.5,-102],"wind_cell":[18,-101.75]},"point_shore_normal_deg":273.3,"csv":"/findings/shoreline/foam_line_per_image.csv","per_year_n":{"2015":1,"2016":11,"2017":17,"2018":48,"2019":53,"2020":49,"2021":48,"2022":45,"2023":49,"2024":49,"2025":55,"2026":42},"uncertainty_model":"σ_extent = √(2.9² pixel + 5² georegistration + (threshold half-range)² + 6² waterline); σ_outer_edge the same without the waterline; σ_up-point = √(12.5² half transect spacing + threshold half-range²). A snapshot also catches one moment of a wave-group cycle: that part shows up as image-to-image scatter, not in σ.","sigma_distribution":{"sigma_extent_m":[8.3,11.5,45.4],"sigma_outer_edge_m":[5.8,10.2,45],"sigma_up_point_m":[12.5,12.5,12.5]},"screening":{"rules":{"glint_nir":0.03,"glint_nir_sensitivity":0.05,"surf_cloud_share":0.02,"offshore_cloud_share":0.05,"offshore_strip_m":[200,500]},"reprocessed_duplicates_dropped":56,"n_screened_in":240,"n_glint":202,"n_cloud":88,"n_no_chip":0,"glint_share_by_period":{"2015–2019":0.42,"2020–2023":0.39,"2024–2026":0.49},"note":"outcomes = screened images (primary); outcomes_all_images = every deduplicated image (sensitivity)"},"outcomes_all_images":{"outer_edge_chainage_median_m":{"n":467,"n_by_period":{"2015–2019":130,"2020–2023":191,"2024–2026":146},"contrasts":{"2020–2023 vs 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eligible same-cluster site: test cannot be run"},"rank_long_contrast_trend":{"k":0,"n_as_extreme":null,"p_exact":null,"k_below_19":true,"placebo_p5_p95":null,"note":"no eligible same-cluster site: test cannot be run"},"note":"only 0 eligible same-cluster sites of width 5 in this AOI (minimum 19): the AOI would have to be re-read wider to reach 19; for a cluster confined to the cove, a wider AOI would not add same-cluster sites"},"event_study":{"status":"not run: no wall date yet (A1 rule). Pre-trend comparison (H3) reported instead."}},"wall_3":{"transects":["T102","T103","T104","T105","T106"],"similarity_controls":{"controls":["T147","T143","T116","T019","T142","T138","T144","T137","T141","T023"],"cluster":2,"from_same_cluster":true,"features":["rate 1984–2015 (m/yr)","S2 annual amplitude (m)","median storm step (m)","shore-normal azimuth 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1 eligible same-cluster sites of width 3 in this AOI (minimum 19): the AOI would have to be re-read wider to reach 19; for a cluster confined to the cove, a wider AOI would not add same-cluster sites"},"event_study":{"status":"not run: no wall date yet (A1 rule). Pre-trend comparison (H3) reported instead."}},"placement_loss":{"walls_1_2":{"class":"wall","observed_width_change_m":-0.5,"n_transects":9,"control_width_change_m":-0.9,"observed_minus_control_m":0.4,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]},"wall_3":{"class":"wall","observed_width_change_m":6.7,"n_transects":5,"control_width_change_m":-0.9,"observed_minus_control_m":7.7,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]},"deck_2":{"class":"deck","observed_width_change_m":-5.1,"n_transects":5,"control_width_change_m":-0.9,"observed_minus_control_m":-4.2,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]},"deck_1":{"class":"deck","observed_width_change_m":-6.9,"n_transects":3,"control_width_change_m":-0.9,"observed_minus_control_m":-6,"footprint_width_m":null,"placement_loss_m2":null,"formula":"W_f = (z_crest − z_toe) · cot(α_face) + apron; placement loss = W_f · L_wall; compare W_f with observed_minus_control (both m of beach width)","inputs_needed":["z_crest (m above MSL)","z_toe (m above MSL)","face slope α","toe apron width (m)","wall length L (m)","built_earliest / built_latest"]}}},"evidence_ladder":{"E0":"observation","E1":"association","E2":"temporal consistency","E3":"counterfactual support","E4":"physical mechanism","E5":"surf transformation (morphology change in the wave-sensitive footprint plus modelled and observed breaking change)","E6":"replication across structures/events","ceiling_this_record":"shoreline: at most E3–E4 (E3 needs wall dates and passed placebos; E4 needs profiles/toe elevations). E5 is out of reach of satellites: no bathymetry, no peel angle, no section length."},"firewall_wave_D3":{"cutoff_utc":"2026-09-21","note":"images acquired on/after the cutoff are excluded from every number on this page and kept, unsummarised, in separate files","n_post_event_images":0},"d3_comparable_days":{"era5":{"p99_kw_m":39.6,"record":"1979–2026 ERA5 daily at the 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Wall 3)":{"shore_normal_azimuth_deg":236.6,"net_drift_toward_azimuth_deg":327,"net_drift_toward":"NW","fraction_of_gross_in_net_direction":0.75}},"armoring":{"held_line":[],"flanking_candidates":[],"retreating_faster_than_neighbours":["T008","T052","T149","T150"],"rule":"change 2017–19 → 2024–26 (S2 annual medians) vs the median of unlabelled transects 150–500 m away; held_line = neighbours retreat by more than the threshold while this transect retreats at most half as much; threshold = 2 × S2 per-image noise / √3"},"wall_experiment_template":{"sealed_designs":"data/ground_truth/natural_experiments.jsonl — shoreline_H1..H6, shoreline_A0..A5, wave_D0..D2 (sealed centrally; this artifact computes inputs and does not grade)","mde_simple_baci":{"walls_1_2":{"contrast_monthly_sd_m":5.5,"lag1_autocorr":0.48,"n_pre_clear_months":109,"clear_month_yield":0.85,"mde_m":{"1 year after D":8.6,"2 years after D":6.3,"3 years after D":5.4}},"wall_3":{"contrast_monthly_sd_m":3,"lag1_autocorr":0.24,"n_pre_clear_months":107,"clear_month_yield":0.85,"mde_m":{"now (Jul–Sep 2026, ~3 months)":6.7,"+1 year (to Sep 2027)":3.1,"+2 years (to Sep 2028)":2.4}},"rule":"MDE = 2.8 × SE (80% power, two-sided α = 0.05); SE from pre-period monthly noise of the treated − control contrast, inflated for lag-1 autocorrelation"},"computed_inputs":"see walls_and_decks: similarity controls, synthetic controls, exposure surface, pre-trends, event studies (where D exists), placebos in space and time, flank (directional) contrasts"},"method":{"reference":"Vos, K., Splinter, K.D., Harley, M.D., Simmons, J.A., Turner, I.L. (2019). CoastSat: a Google Earth Engine-enabled Python toolkit to extract shorelines from publicly available satellite imagery. Environmental Modelling & Software 122:104528.","steps":["Planetary Computer STAC: sentinel-2-l2a tile 14QKE (2015–2026) and landsat-c2-l2 (Landsat 5/7/8/9, 1984–2026), scenes with tile cloud cover ≤ 70%; windowed COG reads of a 5.8 × 7.2 km box only","cloud/shadow: S2 SCL classes 3, 8, 9, 10; Landsat QA_PIXEL bits 1–4; blobs < 0.5 ha dropped (whitewater and wet sand are often mislabelled cloud), then dilated 1 px; scenes with > 60% of the box bad skipped","MNDWI = (green − SWIR1)/(green + SWIR1); Otsu threshold on the clear pixels within 200 m of the reference shoreline; marching-squares contour at that threshold","151 shore-normal transects, 1 km long, every 50 m and every 25 m over the named frontages, normals from a 200 m-smoothed median shoreline; shoreline = median chainage of contour points within 10 m (S2) / 18 m (Landsat) of the transect; rejected if their IQR > 25 m / 45 m or if the transect is cloudy","image kept if ≥ 80% of transects valid; per-transect points > 3 scaled MADs (floor 5 m) from an 11-image rolling median removed","water level: tide from the site harmonic model at each image time (UTC) plus Stockdon (2006) setup from ERA5 Hs/Tm; effective slope from a Huber regression of the waterline’s rolling-median residual on tide and √(H0L0), by region × season where they differ; shift = (tide + setup)/tanβ","Landsat put on the S2 datum by the median L − S2 difference on images ≤ 3 days apart; results also reported Landsat-only, S2-only and for a high-quality subset (Landsat 7 SLC-off excluded)","rates: Theil–Sen on annual medians (years with ≥ 3 clear shorelines); 95% intervals from 1,000 Monte Carlo draws (tide, slope, setup coefficient, georegistration) with images bootstrapped within years; trend forms (linear, hinge, spline) compared by leave-one-year-out error","storms: ERA5 events above the local p95 of daily peak power, with integrated power, duration, direction, period, antecedent energy and longshore component; TC vs southern-swell regimes from HURDAT2; step = first clear S2 image ≤ 30 days after minus the 45-day pre-event median; recovery E(τ) = E0·exp(−τ/τr)","walls and decks: controls chosen by pre-treatment similarity within correlation clusters of transect anomalies; synthetic controls; placebo reaches in space and fake dates in time; flank contrasts both sides; exposure surface E = [L/(L+d)]·side·activation","vegetation line: most seaward NDVI > 0.3 landward of the waterline; beach width = waterline − vegetation line"],"steps_es":["STAC del Planetary Computer: sentinel-2-l2a mosaico 14QKE (2015–2026) y landsat-c2-l2 (Landsat 5/7/8/9, 1984–2026), escenas con nubosidad ≤ 70 %; solo lecturas por ventana de una caja de 5.8 × 7.2 km","nubes/sombras: clases SCL 3, 8, 9, 10 de S2; bits 1–4 de QA_PIXEL de Landsat; manchas < 0.5 ha descartadas (la espuma y la arena mojada suelen marcarse como nube), luego dilatadas 1 px; escenas con > 60 % de la caja mala se omiten","MNDWI = (verde − SWIR1)/(verde + SWIR1); umbral de Otsu en los pixeles despejados a menos de 200 m de la orilla de referencia; contorno por marching squares en ese umbral","151 transectos perpendiculares de 1 km, cada 50 m y cada 25 m frente a las propiedades, con normales de una orilla mediana suavizada a 200 m; orilla = mediana de la distancia de los puntos del contorno a menos de 10 m (S2) / 18 m (Landsat) del transecto; se rechaza si su rango intercuartil > 25 m / 45 m o si el transecto está nublado","imagen aceptada si ≥ 80 % de los transectos son válidos; puntos a más de 3 MAD escaladas (mínimo 5 m) de una mediana móvil de 11 imágenes se quitan","nivel del agua: marea del modelo armónico del sitio a la hora de cada imagen (UTC) más la sobreelevación de Stockdon (2006) con Hs/Tm de ERA5; pendiente efectiva de una regresión de Huber del residuo de la orilla sobre la marea y √(H0L0), por región × temporada donde difieren; corrimiento = (marea + sobreelevación)/tanβ","Landsat llevado al datum de S2 con la diferencia mediana L − S2 en imágenes a ≤ 3 días; resultados también solo Landsat, solo S2 y un subconjunto de alta calidad (sin Landsat 7 SLC-off)","tasas: Theil–Sen sobre medianas anuales (años con ≥ 3 orillas); intervalos de 95 % con 1,000 simulaciones Monte Carlo (marea, pendiente, coeficiente de sobreelevación, georreferenciado) remuestreando imágenes dentro de cada año; formas de tendencia (lineal, bisagra, spline) comparadas por error dejando-un-año-fuera","tormentas: eventos ERA5 sobre el p95 local de la potencia diaria, con potencia integrada, duración, dirección, periodo, energía antecedente y componente a lo largo de la costa; regímenes ciclón tropical vs mar de fondo del sur con HURDAT2; escalón = primera imagen S2 despejada ≤ 30 días después menos la mediana de 45 días previos; recuperación E(τ) = E0·exp(−τ/τr)","muros y terrazas: controles elegidos por similitud previa dentro de grupos de correlación de anomalías; controles sintéticos; tramos placebo en el espacio y fechas falsas en el tiempo; contrastes de flancos a ambos lados; superficie de exposición E = [L/(L+d)]·lado·activación","línea de vegetación: el NDVI > 0.3 más hacia el mar detrás de la orilla; ancho de playa = orilla − línea de vegetación"]},"caveats":["Per-image waterline noise is about 6.8 m (Sentinel-2) and 6.7 m (Landsat) as a standard deviation around each transect's running median; no change smaller than about twice that is reported as a change.","The satellite waterline is the instantaneous land/water edge (wet sand, swash and foam included), not a surveyed contour. Tide and wave setup (Stockdon et al. 2006) are corrected; run-up/swash is carried as uncertainty, not removed.","The effective beach slope (tanβ ≈ 0.046, estimated from Sentinel-2 (tide coefficient of the rolling-residual regression)) comes from the waterline's own response to tide at overpass. Overpasses fall at about 10:30–11:10 local, so the tide sampled is a narrow slice (SD 0.155 m). None of this is validated against ground surveys yet: that needs RTK profiles taken on Sentinel-2 overpass days.","Cloud cover makes the record dry-season heavy (November–May); wet-season storms are seen after the fact, often weeks later.","Landsat 5/7 geolocation is good to roughly half a pixel (~15 m) scene to scene; the 1984–2014 part of the long record is noisier than the Sentinel-2 part, and SLC-off Landsat 7 stripes (2003–2022) remove transects on many dates.","At 10–30 m a boulder revetment, a sand beach and a rock point can all hold a waterline; the imagery cannot say which is which. Wall locations and dates must come from the ground or from dated high-resolution imagery.","Property positions are Google Maps place pins (±30 m); Wall 1 and Wall 2 pins are ~12 m apart, so their frontages share transects until the owner marks the boundaries.","Nothing here measures the sea floor. The surf zone is too turbid and too foamy for satellite-derived bathymetry; a changed bottom would show only indirectly, as a moved breaker line."],"sources":["Microsoft Planetary Computer STAC: sentinel-2-l2a, landsat-c2-l2 (USGS Collection 2 Level-2)","ERA5-Wave hourly waves at the nearest offshore node (17.5°N, 102.0°W), reduced to daily (Copernicus Climate Change Service)","HURDAT2 NE Pacific 1949–2025 (NOAA NHC)","La Saladita harmonic tide model (UHSLC Zihuatanejo gauge 687)","Google Maps place records for the property pins"]}