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                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
                "fit_gap": {
                    "last_observed": 301746.9,
                    "fitted_at_last": 313255.24469762703,
                    "gap": -11508.344697627006,
                    "gap_in_sd": -0.1845212141425187,
                    "large": false
                },
                "scenarios": [],
                "stationarity": {
                    "ok": true,
                    "adf": {
                        "ok": true,
                        "statistic": -2.509378745082966,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": false,
                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.11433679753061204,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
                        },
                        "reject_stationarity_5pct": false,
                        "interpretation": "Stationarity could not be rejected: the series is consistent with stationarity.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "inconclusive_weak_evidence",
                    "interpretation": "Neither test rejected its own null hypothesis; the data does not carry enough information to separate the two cases."
                },
                "residual_diagnostics": {
                    "ok": true,
                    "ljung_box": {
                        "ok": true,
                        "statistic": 6.122488619133462,
                        "lags": 6,
                        "dof": 4,
                        "p_value": 0.19018558835996793,
                        "residuals_are_white_5pct": true,
                        "acf": [
                            {
                                "lag": 1,
                                "r": 0.1482772658996083
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                            {
                                "lag": 2,
                                "r": -0.07420674034391782
                            },
                            {
                                "lag": 3,
                                "r": -0.011279914150902001
                            },
                            {
                                "lag": 4,
                                "r": 0.23578385739287344
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                            {
                                "lag": 5,
                                "r": -0.05099631895837905
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                            {
                                "lag": 6,
                                "r": -0.2902000602390585
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                        ],
                        "interpretation": "The residuals are consistent with white noise: the model appears to have left no capturable structure in the series.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
                        "ok": true,
                        "statistic": 0.3923879905344846,
                        "skewness": 0.2884400786972539,
                        "kurtosis": 3.0595134213414115,
                        "excess_kurtosis": 0.059513421341411465,
                        "p_value": 0.821852783661915,
                        "normal_5pct": true,
                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "approximately symmetric"
                    },
                    "breusch_pagan": {
                        "ok": true,
                        "statistic": 0.13845504939975228,
                        "p_value": 0.7096930922526687,
                        "homoscedastic_5pct": true,
                        "slope_of_variance": -0.012311095632747586,
                        "interpretation": "The residual spread looks constant over time; a single uncertainty band is defensible."
                    },
                    "violations": [],
                    "verdict": "None of the three assumptions appears to be violated on this series; the analytical intervals are defensible."
                },
                "theilsen": {
                    "ok": true,
                    "model": "theilsen",
                    "n": 28,
                    "slope_per_year": -8290.832095410628,
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                "naive_holdout": {
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                "change_percent": -48.157551121389034
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                    "indicator_key": "OECD_MARINE_LANDINGS_T",
                    "source_key": "oecd_marine_landings",
                    "provider_code": "LAND_MARINE._T.T",
                    "title_tr": "Deniz balıkçılığında karaya çıkarılan toplam ürün",
                    "title_en": "Total marine landings, all species",
                    "theme": "economy",
                    "relationship": "direct",
                    "unit": "ton (ürün ağırlığı)",
                    "frequency": "annual",
                    "description_tr": "Ulusal ve yabancı limanlarda karaya çıkarılan deniz kaynaklı balık, kabuklu, yumuşakça ve diğer su ürünlerinin ürün ağırlığı.",
                    "caveat_tr": "Canlı ağırlık ve toplam avcılık serileriyle aynı değildir. Ulusal tanımlar ve tahmin işaretleri ülkeler arasında değişebilir; gizli veya eksik kayıtlar dahil edilmez.",
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                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
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                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
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                        "reject_stationarity_5pct": false,
                        "interpretation": "Stationarity could not be rejected: the series is consistent with stationarity.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "inconclusive_weak_evidence",
                    "interpretation": "Neither test rejected its own null hypothesis; the data does not carry enough information to separate the two cases."
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                    "x_mean": 13.500342231348395,
                    "sxx": 1827.0287638303862
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                "models": [
                    {
                        "key": "ols",
                        "name": "Linear trend (OLS)",
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                        "r2": 0.3308289239646083,
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                            "holdout": 6,
                            "rmse": 36160.88545545053,
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                    {
                        "key": "theilsen",
                        "name": "Linear — Theil–Sen (robust)",
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                            "rmse": 25123.864250501334,
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                    {
                        "key": "quadratic",
                        "name": "Quadratic (curvature)",
                        "ok": true,
                        "r2": 0.7849239949505045,
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                        "autocorrelation": {
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                    {
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                "holdout": 6,
                "trend": {
                    "ok": true,
                    "model": "ols",
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                    "autocorrelation": {
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                        "lag1": 0.8609878868291436,
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                        "se_inflation": 3.0550504633038935,
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                    },
                    "dof": 26,
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                },
                "mann_kendall": {
                    "ok": true,
                    "s": 40,
                    "z": 0.7705042602012596,
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                    "direction": "increasing"
                },
                "agreement": "agree",
                "change_point": {
                    "ok": true,
                    "index": 6,
                    "label": "2001",
                    "timestamp": 978307200,
                    "k": 147,
                    "p_value": 0.0066746465571555485,
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                    "large": false
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                "stationarity": {
                    "ok": true,
                    "adf": {
                        "ok": true,
                        "statistic": -5.0260342282532795,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": true,
                        "interpretation": "The unit root is rejected at 5%: the series may be treated as stationary under the stated deterministic terms.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.2253545106290611,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
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                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "conflicting",
                    "interpretation": "The tests conflict (ADF says stationary, KPSS says not). This usually signals a break, changing variance or long memory; a single differencing decision cannot be drawn safely from this data."
                },
                "residual_diagnostics": {
                    "ok": true,
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                        "lags": 6,
                        "dof": 4,
                        "p_value": 1.0505252768398807e-9,
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                        "acf": [
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                                "lag": 1,
                                "r": 0.8609878868291436
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                            {
                                "lag": 2,
                                "r": 0.6455871763347434
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                            {
                                "lag": 3,
                                "r": 0.4611892901993244
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                            {
                                "lag": 4,
                                "r": 0.3052215242445479
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                            {
                                "lag": 5,
                                "r": 0.12357086401119219
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                            {
                                "lag": 6,
                                "r": -0.08623467176755685
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                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
                        "ok": true,
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                        "p_value": 0.5829204580843427,
                        "normal_5pct": true,
                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "thin-tailed"
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                    "breusch_pagan": {
                        "ok": true,
                        "statistic": 5.049285891182782,
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                        "homoscedastic_5pct": false,
                        "slope_of_variance": -0.07434594499875587,
                        "interpretation": "The residual spread is SHRINKING over time. A single uncertainty band understates the start of the series."
                    },
                    "violations": [
                        "otokorelasyon",
                        "changing variance"
                    ],
                    "verdict": "Assumption(s) violated: otokorelasyon, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
                "theilsen": {
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                    "source_key": "oecd_sustainable_ocean",
                    "provider_code": "FLEET_GROSS_TONNAGE.T._Z._Z",
                    "title_tr": "Balıkçı filosunun brüt tonajı",
                    "title_en": "Gross tonnage of fishing vessels of all sizes",
                    "theme": "economy",
                    "relationship": "context",
                    "unit": "GT (brüt tonaj)",
                    "frequency": "annual",
                    "description_tr": "OECD Sustainable Ocean Economy seçimi. Ölçü: Gross tonnage of fishing vessels of all sizes; birim: Tonnes; koruma kategorisi: Not applicable; dönüş süresi: Not applicable. OECD'nin yıllık boyutunda seyrek gözlenen yıllar aynen korunur.",
                    "caveat_tr": "Ülke kapsamı ve son gözlem yılı değişir; boş yıllar sıfır değildir. Sağlayıcı tahmin\/provizyon\/revizyon işaretleri ham dosyada ve gözlem metadatasında korunur. Bazı OECD grup toplamları sağlayıcının interpolasyon\/doldurma işlemlerini içerir; uygulama yeni tahmin üretmez. Kaynağın balıkçılık toplamı içsu faaliyetlerini de kapsayabilir; deniz ekonomisi için bağlam göstergesidir. GT geminin kapalı hacmine dayalı boyutsuz brüt tonajdır, metrik ton cinsinden yük\/kütle değildir; sağlayıcı T\/bininci ölçek kodu GT toplamına dönüştürüldü.",
                    "source_url": "https:\/\/sdmx.oecd.org\/public\/rest\/data\/OECD.ENV.EPI,DSD_SOE@DF_SOE,1.0\/.A.AQUACUL_MARINE_SPECIES+BASE_PPP+CF_BUILT_EXP+CF_POP_EXP+COASTAL_100_POP+COASTAL_10_POP+COASTAL_LC_10KM+COASTAL_LC_1KM+COASTAL_LE1+COASTAL_LE10+FFS_FFSO_GSSE+FISH_EMP_MARINE_FISH_TOT+FLEET_GROSS_TONNAGE+FLEET_TOTAL_SHIP_COUNT+MARINE+PAT_O_CCACOAST+PAT_O_CCMFISH+PAT_O_DESA+PAT_O_OCEAN+PAT_O_POL+PAT_O_RE+PAT_O_TRA+PINE_OCEAN_TOT+STOCK_BIO_PC+STOCK_NOT_BIO_PC+THREATENED_MAR_FISH+TRADE_TOTAL_N_EXP_USD+TRADE_TOTAL_N_IMP_USD+TRANSPORT_CONT_SEA+TRANSPORT_SEA_CAB...?startPeriod=1990&dimensionAtObservation=AllDimensions&format=csvfilewithlabels",
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                        -36219.54298508534,
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                        -14526.997518175049,
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                        26055.93871162212,
                        35155.54794873521,
                        37205.15718584834,
                        34618.874941419286,
                        27088.48417853238,
                        22488.093415645475,
                        18447.7026527586,
                        17351.420408329548,
                        14511.029645442672,
                        10050.638882555766,
                        4340.24811966886,
                        -2426.03412476019,
                        -10146.424887647066,
                        -12696.815650533943,
                        -11887.206413420849,
                        -11663.488657849899,
                        -17723.879420736805,
                        -18884.27018362368,
                        -20624.660946510558
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                    "rss": 12146803017.509233,
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                    "residual_sd": 22497.039636276993,
                    "dof": 24,
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                    "x_last": 24.999315537303218,
                    "x_mean": 12.500289580371717,
                    "sxx": 1462.4911171387648
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                "models": [
                    {
                        "key": "ols",
                        "name": "Linear trend (OLS)",
                        "ok": true,
                        "r2": 0.35795382274160914,
                        "aic": 523.018118006877,
                        "k": 2,
                        "residual_sd": 22497.039636276993,
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                            "effective_n": 3.0,
                            "se_inflation": 2.943920288775949,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 45152.881268469624,
                            "mae": 44660.89414797266
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                    },
                    {
                        "key": "theilsen",
                        "name": "Linear — Theil–Sen (robust)",
                        "ok": true,
                        "r2": 0.28520568643207833,
                        "aic": 525.8088175985423,
                        "k": 2,
                        "residual_sd": 23737.38018608649,
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                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.8432476134651263,
                            "n": 26,
                            "effective_n": 3.0,
                            "se_inflation": 2.943920288775949,
                            "material": true
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 38080.51017625448,
                            "mae": 37565.76704075521
                        }
                    },
                    {
                        "key": "quadratic",
                        "name": "Quadratic (curvature)",
                        "ok": true,
                        "r2": 0.8389526055832672,
                        "aic": 489.06111819117103,
                        "k": 3,
                        "residual_sd": 11509.614969569222,
                        "slope_per_year": -7164.600819882893,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.7204311571909886,
                            "n": 26,
                            "effective_n": 4.224981559217003,
                            "se_inflation": 2.4807001055240794,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 43861.79614220456,
                            "mae": 38861.17434958525
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                    },
                    {
                        "key": "loglinear",
                        "name": "Log-linear (exponential)",
                        "ok": true,
                        "r2": 0.29455195925022426,
                        "aic": 525.4666131846457,
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                        "growth_rate_per_year": 0.015440837111302619,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.8601333458933719,
                            "n": 26,
                            "effective_n": 3.0,
                            "se_inflation": 2.943920288775949,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 60064.73069196985,
                            "mae": 59114.25947649059
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                    },
                    {
                        "key": "holt",
                        "name": "Holt exponential smoothing",
                        "ok": true,
                        "r2": 0.9017953660472203,
                        "aic": 474.2003405537176,
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                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.2898635814858747,
                            "n": 26,
                            "effective_n": 14.314340792611524,
                            "se_inflation": 1.3477241099354054,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 19625.7019590408,
                            "mae": 17769.847052687936
                        }
                    },
                    {
                        "key": "mean",
                        "name": "Mean (reference)",
                        "ok": true,
                        "r2": 0.0,
                        "aic": 532.5385893246885,
                        "k": 1,
                        "residual_sd": 27509.1934730639,
                        "slope_per_year": null,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.8411162630483124,
                            "n": 26,
                            "effective_n": 3.0,
                            "se_inflation": 2.943920288775949,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 7888.2492142849205,
                            "mae": 7719.666666666667
                        }
                    }
                ],
                "best_model": "mean",
                "best_by": "holdout_rmse",
                "selected_model": "ols",
                "holdout": 6,
                "trend": {
                    "ok": true,
                    "model": "ols",
                    "n": 26,
                    "slope_per_year": 2151.863633272431,
                    "growth_rate_per_year": null,
                    "r2": 0.35795382274160914,
                    "residual_sd": 22497.039636276993,
                    "slope_se": 1731.8281780180125,
                    "slope_se_naive": 588.2727819162823,
                    "sen_interval": null,
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.8541688357503322,
                        "n": 26,
                        "effective_n": 3.0,
                        "se_inflation": 2.943920288775949,
                        "material": true
                    },
                    "dof": 24,
                    "significant_95": false,
                    "fragile": false,
                    "span_years": 24.999315537303218,
                    "x0_timestamp": 788918400
                },
                "mann_kendall": {
                    "ok": true,
                    "s": 35,
                    "z": 0.7494127255380579,
                    "significant_95": false,
                    "direction": "increasing"
                },
                "agreement": "agree",
                "change_point": {
                    "ok": true,
                    "index": 6,
                    "label": "2001",
                    "timestamp": 978307200,
                    "k": 133,
                    "p_value": 0.005965411671648348,
                    "significant_95": true
                },
                "fit_gap": {
                    "last_observed": 172190.0,
                    "fitted_at_last": 192814.66094651056,
                    "gap": -20624.660946510558,
                    "gap_in_sd": -0.9167722189213205,
                    "large": false
                },
                "scenarios": [],
                "stationarity": {
                    "ok": true,
                    "adf": {
                        "ok": true,
                        "statistic": -4.536869452596858,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": true,
                        "interpretation": "The unit root is rejected at 5%: the series may be treated as stationary under the stated deterministic terms.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.2231762823174571,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
                        },
                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "conflicting",
                    "interpretation": "The tests conflict (ADF says stationary, KPSS says not). This usually signals a break, changing variance or long memory; a single differencing decision cannot be drawn safely from this data."
                },
                "residual_diagnostics": {
                    "ok": true,
                    "ljung_box": {
                        "ok": true,
                        "statistic": 42.45610992928044,
                        "lags": 5,
                        "dof": 3,
                        "p_value": 2.0638456458859412e-8,
                        "residuals_are_white_5pct": false,
                        "acf": [
                            {
                                "lag": 1,
                                "r": 0.8541688357503322
                            },
                            {
                                "lag": 2,
                                "r": 0.631037594711944
                            },
                            {
                                "lag": 3,
                                "r": 0.43958948973568907
                            },
                            {
                                "lag": 4,
                                "r": 0.2839338744588939
                            },
                            {
                                "lag": 5,
                                "r": 0.10002943110429871
                            }
                        ],
                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
                        "ok": true,
                        "statistic": 1.4025899655225804,
                        "skewness": 0.20432451756657324,
                        "kurtosis": 1.938065729059515,
                        "excess_kurtosis": -1.061934270940485,
                        "p_value": 0.49594265058571074,
                        "normal_5pct": true,
                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "thin-tailed"
                    },
                    "breusch_pagan": {
                        "ok": true,
                        "statistic": 2.823157612685982,
                        "p_value": 0.08879382676018026,
                        "homoscedastic_5pct": true,
                        "slope_of_variance": -0.06213494836623683,
                        "interpretation": "The residual spread looks constant over time; a single uncertainty band is defensible."
                    },
                    "violations": [
                        "otokorelasyon"
                    ],
                    "verdict": "Assumption(s) violated: otokorelasyon. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
                "theilsen": {
                    "ok": true,
                    "model": "theilsen",
                    "n": 26,
                    "slope_per_year": 1325.9327712926936,
                    "growth_rate_per_year": null,
                    "r2": 0.28520568643207833,
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                    "slope_se": 2802.999385488453,
                    "slope_se_naive": 952.1315492729971,
                    "sen_interval": {
                        "lower": -908.124315443593,
                        "upper": 2824.2313577065556,
                        "se_equivalent": 952.1315492729971
                    },
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.8432476134651263,
                        "n": 26,
                        "effective_n": 3.0,
                        "se_inflation": 2.943920288775949,
                        "material": true
                    },
                    "dof": 24,
                    "significant_95": false,
                    "fragile": false,
                    "span_years": 24.999315537303218,
                    "x0_timestamp": 788918400
                },
                "naive_holdout": {
                    "n": 6,
                    "rmse": 2650.892931322073
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                "change_percent": 67.5
            },
            "segments": [
                {
                    "from": "1995",
                    "to": "2008",
                    "trend": {
                        "ok": true,
                        "model": "ols",
                        "n": 14,
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                        "growth_rate_per_year": null,
                        "r2": 0.8575311571849082,
                        "residual_sd": 13876.178728476169,
                        "slope_se": 1800.0797034359089,
                        "slope_se_naive": 919.9913628529517,
                        "sen_interval": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.5857830991999676,
                            "n": 14,
                            "effective_n": 3.656891421106761,
                            "se_inflation": 1.956626742509568,
                            "material": true
                        },
                        "dof": 12,
                        "significant_95": true,
                        "fragile": true,
                        "span_years": 12.999315537303216,
                        "x0_timestamp": 788918400
                    }
                },
                {
                    "from": "2009",
                    "to": "2020",
                    "trend": {
                        "ok": true,
                        "model": "ols",
                        "n": 12,
                        "slope_per_year": -1427.6665342650672,
                        "growth_rate_per_year": null,
                        "r2": 0.6677377379754603,
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                        "slope_se": 636.9338394251333,
                        "slope_se_naive": 318.46691971256666,
                        "sen_interval": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.6320415996139649,
                            "n": 12,
                            "effective_n": 3.0,
                            "se_inflation": 2.0,
                            "material": true
                        },
                        "dof": 10,
                        "significant_95": true,
                        "fragile": true,
                        "span_years": 10.99794661190965,
                        "x0_timestamp": 1230768000
                    }
                }
            ],
            "sha256": "926fe99a1d3418d46c45bd6fe75f9ef9e423de9d678b53bfa750152a7eb54096",
            "analysis_id": "FISH-A2",
            "live_url": "ai_lab.php?dataset=evidence&indicator=OECD_SOE_FLEET_GROSS_TONNAGE_T_NA_NA&entity=TUR&from=1995&to=2022&model=ols&aggregate=raw&run=0"
        },
        {
            "indicator": "OECD_SOE_FLEET_TOTAL_SHIP_COUNT_VS_NA_NA",
            "entity": "TUR",
            "dataset": "evidence",
            "meta": {
                "indicator_key": "OECD_SOE_FLEET_TOTAL_SHIP_COUNT_VS_NA_NA",
                "source_key": "oecd_sustainable_ocean",
                "provider_code": "FLEET_TOTAL_SHIP_COUNT.VS._Z._Z",
                "title_tr": "Toplam balıkçı teknesi sayısı",
                "title_en": "Total number of fishing vessels, all sizes",
                "theme": "economy",
                "relationship": "context",
                "unit": "gemi",
                "frequency": "annual",
                "description_tr": "OECD Sustainable Ocean Economy seçimi. Ölçü: Total number of fishing vessels, all sizes; birim: Vessels; koruma kategorisi: Not applicable; dönüş süresi: Not applicable. OECD'nin yıllık boyutunda seyrek gözlenen yıllar aynen korunur.",
                "caveat_tr": "Ülke kapsamı ve son gözlem yılı değişir; boş yıllar sıfır değildir. Sağlayıcı tahmin\/provizyon\/revizyon işaretleri ham dosyada ve gözlem metadatasında korunur. Bazı OECD grup toplamları sağlayıcının interpolasyon\/doldurma işlemlerini içerir; uygulama yeni tahmin üretmez. Kaynağın balıkçılık toplamı içsu faaliyetlerini de kapsayabilir; deniz ekonomisi için bağlam göstergesidir.",
                "source_url": "https:\/\/sdmx.oecd.org\/public\/rest\/data\/OECD.ENV.EPI,DSD_SOE@DF_SOE,1.0\/.A.AQUACUL_MARINE_SPECIES+BASE_PPP+CF_BUILT_EXP+CF_POP_EXP+COASTAL_100_POP+COASTAL_10_POP+COASTAL_LC_10KM+COASTAL_LC_1KM+COASTAL_LE1+COASTAL_LE10+FFS_FFSO_GSSE+FISH_EMP_MARINE_FISH_TOT+FLEET_GROSS_TONNAGE+FLEET_TOTAL_SHIP_COUNT+MARINE+PAT_O_CCACOAST+PAT_O_CCMFISH+PAT_O_DESA+PAT_O_OCEAN+PAT_O_POL+PAT_O_RE+PAT_O_TRA+PINE_OCEAN_TOT+STOCK_BIO_PC+STOCK_NOT_BIO_PC+THREATENED_MAR_FISH+TRADE_TOTAL_N_EXP_USD+TRADE_TOTAL_N_IMP_USD+TRANSPORT_CONT_SEA+TRANSPORT_SEA_CAB...?startPeriod=1990&dimensionAtObservation=AllDimensions&format=csvfilewithlabels"
            },
            "institution": "OECD",
            "entity_name": "Türkiye",
            "rows": [
                {
                    "period": "1995",
                    "value": 11560.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "1996",
                    "value": 11575.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "1997",
                    "value": 13620.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "1998",
                    "value": 14875.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "1999",
                    "value": 14818.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2000",
                    "value": 14975.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2001",
                    "value": 16132.0,
                    "quality_flag": "A",
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                {
                    "period": "2002",
                    "value": 18696.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2003",
                    "value": 18779.0,
                    "quality_flag": "A",
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                },
                {
                    "period": "2004",
                    "value": 18999.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2005",
                    "value": 18836.0,
                    "quality_flag": "A",
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                },
                {
                    "period": "2006",
                    "value": 18790.0,
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                {
                    "period": "2007",
                    "value": 18563.0,
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                {
                    "period": "2008",
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                    "data_type": "provider_reported"
                },
                {
                    "period": "2009",
                    "value": 17469.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2010",
                    "value": 17440.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2011",
                    "value": 17165.0,
                    "quality_flag": "A",
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                {
                    "period": "2012",
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                },
                {
                    "period": "2013",
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                },
                {
                    "period": "2014",
                    "value": 15877.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2015",
                    "value": 15680.0,
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                },
                {
                    "period": "2016",
                    "value": 15663.0,
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                    "data_type": "provider_reported"
                },
                {
                    "period": "2017",
                    "value": 15406.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2018",
                    "value": 15352.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2019",
                    "value": 15315.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2020",
                    "value": 15302.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2021",
                    "value": 15291.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                },
                {
                    "period": "2022",
                    "value": 15236.0,
                    "quality_flag": "A",
                    "data_type": "provider_reported"
                }
            ],
            "provenance": [
                {
                    "provenance_key": "5491418a29cbfb861ca08b38cced5c1073a6efb94d1ced72b180966e9e9b8da0",
                    "source_url": "https:\/\/sdmx.oecd.org\/public\/rest\/data\/OECD.ENV.EPI,DSD_SOE@DF_SOE,1.0\/.A.AQUACUL_MARINE_SPECIES+BASE_PPP+CF_BUILT_EXP+CF_POP_EXP+COASTAL_100_POP+COASTAL_10_POP+COASTAL_LC_10KM+COASTAL_LC_1KM+COASTAL_LE1+COASTAL_LE10+FFS_FFSO_GSSE+FISH_EMP_MARINE_FISH_TOT+FLEET_GROSS_TONNAGE+FLEET_TOTAL_SHIP_COUNT+MARINE+PAT_O_CCACOAST+PAT_O_CCMFISH+PAT_O_DESA+PAT_O_OCEAN+PAT_O_POL+PAT_O_RE+PAT_O_TRA+PINE_OCEAN_TOT+STOCK_BIO_PC+STOCK_NOT_BIO_PC+THREATENED_MAR_FISH+TRADE_TOTAL_N_EXP_USD+TRADE_TOTAL_N_IMP_USD+TRANSPORT_CONT_SEA+TRANSPORT_SEA_CAB...?startPeriod=1990&dimensionAtObservation=AllDimensions&format=csvfilewithlabels",
                    "retrieved_at": "2026-08-31 08:26:26"
                }
            ],
            "run": {
                "meta": {
                    "indicator_key": "OECD_SOE_FLEET_TOTAL_SHIP_COUNT_VS_NA_NA",
                    "source_key": "oecd_sustainable_ocean",
                    "provider_code": "FLEET_TOTAL_SHIP_COUNT.VS._Z._Z",
                    "title_tr": "Toplam balıkçı teknesi sayısı",
                    "title_en": "Total number of fishing vessels, all sizes",
                    "theme": "economy",
                    "relationship": "context",
                    "unit": "gemi",
                    "frequency": "annual",
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                    "label": "2000",
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                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
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                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "conflicting",
                    "interpretation": "The tests conflict (ADF says stationary, KPSS says not). This usually signals a break, changing variance or long memory; a single differencing decision cannot be drawn safely from this data."
                },
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                            {
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                            {
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                            {
                                "lag": 6,
                                "r": -0.10734161334271877
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                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
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                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "approximately symmetric"
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                    "breusch_pagan": {
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                        "statistic": 6.768025275097445,
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                        "interpretation": "The residual spread is SHRINKING over time. A single uncertainty band understates the start of the series."
                    },
                    "violations": [
                        "otokorelasyon",
                        "changing variance"
                    ],
                    "verdict": "Assumption(s) violated: otokorelasyon, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
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            "common_run": {
                "meta": {
                    "indicator_key": "OECD_SOE_FLEET_TOTAL_SHIP_COUNT_VS_NA_NA",
                    "source_key": "oecd_sustainable_ocean",
                    "provider_code": "FLEET_TOTAL_SHIP_COUNT.VS._Z._Z",
                    "title_tr": "Toplam balıkçı teknesi sayısı",
                    "title_en": "Total number of fishing vessels, all sizes",
                    "theme": "economy",
                    "relationship": "context",
                    "unit": "gemi",
                    "frequency": "annual",
                    "description_tr": "OECD Sustainable Ocean Economy seçimi. Ölçü: Total number of fishing vessels, all sizes; birim: Vessels; koruma kategorisi: Not applicable; dönüş süresi: Not applicable. OECD'nin yıllık boyutunda seyrek gözlenen yıllar aynen korunur.",
                    "caveat_tr": "Ülke kapsamı ve son gözlem yılı değişir; boş yıllar sıfır değildir. Sağlayıcı tahmin\/provizyon\/revizyon işaretleri ham dosyada ve gözlem metadatasında korunur. Bazı OECD grup toplamları sağlayıcının interpolasyon\/doldurma işlemlerini içerir; uygulama yeni tahmin üretmez. Kaynağın balıkçılık toplamı içsu faaliyetlerini de kapsayabilir; deniz ekonomisi için bağlam göstergesidir.",
                    "source_url": "https:\/\/sdmx.oecd.org\/public\/rest\/data\/OECD.ENV.EPI,DSD_SOE@DF_SOE,1.0\/.A.AQUACUL_MARINE_SPECIES+BASE_PPP+CF_BUILT_EXP+CF_POP_EXP+COASTAL_100_POP+COASTAL_10_POP+COASTAL_LC_10KM+COASTAL_LC_1KM+COASTAL_LE1+COASTAL_LE10+FFS_FFSO_GSSE+FISH_EMP_MARINE_FISH_TOT+FLEET_GROSS_TONNAGE+FLEET_TOTAL_SHIP_COUNT+MARINE+PAT_O_CCACOAST+PAT_O_CCMFISH+PAT_O_DESA+PAT_O_OCEAN+PAT_O_POL+PAT_O_RE+PAT_O_TRA+PINE_OCEAN_TOT+STOCK_BIO_PC+STOCK_NOT_BIO_PC+THREATENED_MAR_FISH+TRADE_TOTAL_N_EXP_USD+TRADE_TOTAL_N_IMP_USD+TRANSPORT_CONT_SEA+TRANSPORT_SEA_CAB...?startPeriod=1990&dimensionAtObservation=AllDimensions&format=csvfilewithlabels",
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                "mann_kendall": {
                    "ok": true,
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                    "index": 5,
                    "label": "2000",
                    "timestamp": 946684800,
                    "k": 120,
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                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": true,
                        "interpretation": "The unit root is rejected at 5%: the series may be treated as stationary under the stated deterministic terms.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
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                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "conflicting",
                    "interpretation": "The tests conflict (ADF says stationary, KPSS says not). This usually signals a break, changing variance or long memory; a single differencing decision cannot be drawn safely from this data."
                },
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                        "lags": 5,
                        "dof": 3,
                        "p_value": 4.697932275644398e-8,
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                                "r": 0.8337744803046493
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                            {
                                "lag": 2,
                                "r": 0.6016536313477606
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                            {
                                "lag": 3,
                                "r": 0.4337455471422929
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                            {
                                "lag": 4,
                                "r": 0.2939642127871671
                            },
                            {
                                "lag": 5,
                                "r": 0.09933167912478255
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                        ],
                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
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                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "thin-tailed"
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                        "interpretation": "The residual spread is SHRINKING over time. A single uncertainty band understates the start of the series."
                    },
                    "violations": [
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                        "changing variance"
                    ],
                    "verdict": "Assumption(s) violated: otokorelasyon, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
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                            "holdout": 6,
                            "rmse": 3966.2672786126436,
                            "mae": 3923.7499765040957
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                    },
                    {
                        "key": "holt",
                        "name": "Holt exponential smoothing",
                        "ok": true,
                        "r2": 0.8255443889789714,
                        "aic": 455.53896685958074,
                        "k": 2,
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                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.18060248906521031,
                            "n": 28,
                            "effective_n": 19.433408381461454,
                            "se_inflation": 1.2003406864011759,
                            "material": false
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 6463.638241415116,
                            "mae": 4843.42676778079
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                    },
                    {
                        "key": "mean",
                        "name": "Mean (reference)",
                        "ok": true,
                        "r2": 0.0,
                        "aic": 502.4293453980435,
                        "k": 1,
                        "residual_sd": 7742.052658376806,
                        "slope_per_year": null,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.8965455866370426,
                            "n": 28,
                            "effective_n": 3.0,
                            "se_inflation": 3.0550504633038935,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 11170.75435646859,
                            "mae": 10750.606060606062
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                    }
                ],
                "best_model": "loglinear",
                "best_by": "holdout_rmse",
                "selected_model": "ols",
                "holdout": 6,
                "trend": {
                    "ok": true,
                    "model": "ols",
                    "n": 28,
                    "slope_per_year": -742.3908846944411,
                    "growth_rate_per_year": null,
                    "r2": 0.6222066385750907,
                    "residual_sd": 4849.293721474836,
                    "slope_se": 302.4977377555409,
                    "slope_se_naive": 113.45033895069567,
                    "sen_interval": null,
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.7533724883340784,
                        "n": 28,
                        "effective_n": 3.9384502566291277,
                        "se_inflation": 2.6663449448749845,
                        "material": true
                    },
                    "dof": 26,
                    "significant_95": true,
                    "fragile": false,
                    "span_years": 27.000684462696782,
                    "x0_timestamp": 788918400
                },
                "mann_kendall": {
                    "ok": true,
                    "s": -166,
                    "z": -3.261098837048641,
                    "significant_95": true,
                    "direction": "decreasing"
                },
                "agreement": "agree",
                "change_point": {
                    "ok": true,
                    "index": 15,
                    "label": "2010",
                    "timestamp": 1262304000,
                    "k": 192,
                    "p_value": 0.00011913978038736509,
                    "significant_95": true,
                    "confounded_by_trend": true,
                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
                "fit_gap": {
                    "last_observed": 41600.0,
                    "fitted_at_last": 36961.040415762975,
                    "gap": 4638.959584237025,
                    "gap_in_sd": 0.9566258203114492,
                    "large": false
                },
                "scenarios": [],
                "stationarity": {
                    "ok": true,
                    "adf": {
                        "ok": true,
                        "statistic": -2.9702857296401586,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": false,
                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.1283981124179973,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
                        },
                        "reject_stationarity_5pct": false,
                        "interpretation": "Stationarity could not be rejected: the series is consistent with stationarity.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "inconclusive_weak_evidence",
                    "interpretation": "Neither test rejected its own null hypothesis; the data does not carry enough information to separate the two cases."
                },
                "residual_diagnostics": {
                    "ok": true,
                    "ljung_box": {
                        "ok": true,
                        "statistic": 33.84643979217133,
                        "lags": 6,
                        "dof": 4,
                        "p_value": 8.012259674540159e-7,
                        "residuals_are_white_5pct": false,
                        "acf": [
                            {
                                "lag": 1,
                                "r": 0.7533724883340784
                            },
                            {
                                "lag": 2,
                                "r": 0.46866341954871255
                            },
                            {
                                "lag": 3,
                                "r": 0.25719691737737044
                            },
                            {
                                "lag": 4,
                                "r": 0.10671976676836346
                            },
                            {
                                "lag": 5,
                                "r": -0.14285648205567936
                            },
                            {
                                "lag": 6,
                                "r": -0.38725073608593297
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                        ],
                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
                        "ok": true,
                        "statistic": 2.4300547889292856,
                        "skewness": 0.34848790384008005,
                        "kurtosis": 1.7362243758067184,
                        "excess_kurtosis": -1.2637756241932816,
                        "p_value": 0.29670188619338256,
                        "normal_5pct": true,
                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "thin-tailed"
                    },
                    "breusch_pagan": {
                        "ok": true,
                        "statistic": 0.6270170856672603,
                        "p_value": 0.43418212197325756,
                        "homoscedastic_5pct": true,
                        "slope_of_variance": 0.026198835804422393,
                        "interpretation": "The residual spread looks constant over time; a single uncertainty band is defensible."
                    },
                    "violations": [
                        "otokorelasyon"
                    ],
                    "verdict": "Assumption(s) violated: otokorelasyon. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
                "theilsen": {
                    "ok": true,
                    "model": "theilsen",
                    "n": 28,
                    "slope_per_year": -726.5000000000002,
                    "growth_rate_per_year": null,
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                        "se_equivalent": 126.1392029958487
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                        "material": true
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                    "significant_95": true,
                    "fragile": false,
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                    "x0_timestamp": 788918400
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                "naive_holdout": {
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                    "rmse": 3443.292997504956
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                "change_percent": -21.760391198044005
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                    "indicator_key": "OECD_SOE_FISH_EMP_MARINE_FISH_TOT_PS_NA_NA",
                    "source_key": "oecd_sustainable_ocean",
                    "provider_code": "FISH_EMP_MARINE_FISH_TOT.PS._Z._Z",
                    "title_tr": "İçsu balıkçılığı dışındaki balıkçılık istihdamı",
                    "title_en": "People employed in fishing sectors excluding inland fisheries",
                    "theme": "economy",
                    "relationship": "direct",
                    "unit": "kişi",
                    "frequency": "annual",
                    "description_tr": "OECD Sustainable Ocean Economy seçimi. Ölçü: People employed in fishing sectors excluding inland fisheries; birim: Persons; koruma kategorisi: Not applicable; dönüş süresi: Not applicable. OECD'nin yıllık boyutunda seyrek gözlenen yıllar aynen korunur.",
                    "caveat_tr": "Ülke kapsamı ve son gözlem yılı değişir; boş yıllar sıfır değildir. Sağlayıcı tahmin\/provizyon\/revizyon işaretleri ham dosyada ve gözlem metadatasında korunur. Bazı OECD grup toplamları sağlayıcının interpolasyon\/doldurma işlemlerini içerir; uygulama yeni tahmin üretmez.",
                    "source_url": "https:\/\/sdmx.oecd.org\/public\/rest\/data\/OECD.ENV.EPI,DSD_SOE@DF_SOE,1.0\/.A.AQUACUL_MARINE_SPECIES+BASE_PPP+CF_BUILT_EXP+CF_POP_EXP+COASTAL_100_POP+COASTAL_10_POP+COASTAL_LC_10KM+COASTAL_LC_1KM+COASTAL_LE1+COASTAL_LE10+FFS_FFSO_GSSE+FISH_EMP_MARINE_FISH_TOT+FLEET_GROSS_TONNAGE+FLEET_TOTAL_SHIP_COUNT+MARINE+PAT_O_CCACOAST+PAT_O_CCMFISH+PAT_O_DESA+PAT_O_OCEAN+PAT_O_POL+PAT_O_RE+PAT_O_TRA+PINE_OCEAN_TOT+STOCK_BIO_PC+STOCK_NOT_BIO_PC+THREATENED_MAR_FISH+TRADE_TOTAL_N_EXP_USD+TRADE_TOTAL_N_IMP_USD+TRANSPORT_CONT_SEA+TRANSPORT_SEA_CAB...?startPeriod=1990&dimensionAtObservation=AllDimensions&format=csvfilewithlabels",
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                            "ok": true,
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                "mann_kendall": {
                    "ok": true,
                    "s": -151,
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                    "direction": "decreasing"
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                "change_point": {
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                    "index": 15,
                    "label": "2010",
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                    "k": 160,
                    "p_value": 0.0004428103748661776,
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                    "confounded_by_trend": true,
                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
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                "stationarity": {
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                    "adf": {
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                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": false,
                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.1633518467121643,
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                        "critical": {
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                            "5%": 0.146,
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                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "non_stationary",
                    "interpretation": "Both tests show non-stationarity: differencing (ARIMA d≥1) is required."
                },
                "residual_diagnostics": {
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                    "ljung_box": {
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                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
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                    "verdict": "Assumption(s) violated: otokorelasyon. In that case read the block bootstrap interval rather than the analytical confidence intervals."
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                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
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                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
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                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "non_stationary",
                    "interpretation": "Both tests show non-stationarity: differencing (ARIMA d≥1) is required."
                },
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                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
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                    },
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                    "verdict": "Assumption(s) violated: otokorelasyon, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
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                    "title_tr": "Deniz balık stokları doğal sermayesi",
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                    "description_tr": "Wealth Accounts kapsamında deniz balık stoklarının doğal sermaye değeri.",
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                "models": [
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                    {
                        "key": "theilsen",
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                    {
                        "key": "quadratic",
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                    {
                        "key": "loglinear",
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                        "key": "holt",
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                        "key": "mean",
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                        "n": 26,
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                        "se_inflation": 2.943920288775949,
                        "material": true
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                    "dof": 24,
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                "mann_kendall": {
                    "ok": true,
                    "s": -325,
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                    "direction": "decreasing"
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                "agreement": "agree",
                "change_point": {
                    "ok": true,
                    "index": 12,
                    "label": "2007",
                    "timestamp": 1167609600,
                    "k": 169,
                    "p_value": 0.00016729669445945505,
                    "significant_95": true,
                    "confounded_by_trend": true,
                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
                "fit_gap": {
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                "stationarity": {
                    "ok": true,
                    "adf": {
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                        "statistic": -2.4866039730059186,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": false,
                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.19321775785069548,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
                        },
                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "non_stationary",
                    "interpretation": "Both tests show non-stationarity: differencing (ARIMA d≥1) is required."
                },
                "residual_diagnostics": {
                    "ok": true,
                    "ljung_box": {
                        "ok": true,
                        "statistic": 35.370726128962666,
                        "lags": 5,
                        "dof": 3,
                        "p_value": 3.51510812329597e-7,
                        "residuals_are_white_5pct": false,
                        "acf": [
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                                "lag": 1,
                                "r": 0.8011282968158882
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                            {
                                "lag": 2,
                                "r": 0.5854987347005397
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                            {
                                "lag": 3,
                                "r": 0.3955262721883071
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                            {
                                "lag": 4,
                                "r": 0.20014475702273948
                            },
                            {
                                "lag": 5,
                                "r": 0.012635740877274254
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                        ],
                        "interpretation": "Autocorrelation remains in the residuals: the model has missed part of the structure in the data. The confidence intervals are too narrow and the forecast can be improved.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
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                        "statistic": 0.100595950133004,
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                        "interpretation": "The residuals are consistent with normality; the analytical intervals are defensible on that assumption.",
                        "shape": "approximately symmetric"
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                        "interpretation": "The residual spread is SHRINKING over time. A single uncertainty band understates the start of the series."
                    },
                    "violations": [
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                        "changing variance"
                    ],
                    "verdict": "Assumption(s) violated: otokorelasyon, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
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                "fit": {
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                        -0.0862597837241339,
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                        0.22112227029417886,
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                    "x_last": 27.000684462696782,
                    "x_mean": 13.500342231348395,
                    "sxx": 1827.0287638303862
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                "models": [
                    {
                        "key": "ols",
                        "name": "Linear trend (OLS)",
                        "ok": true,
                        "r2": 0.6643638348292182,
                        "aic": -30.75395120547409,
                        "k": 2,
                        "residual_sd": 0.5579129761691409,
                        "slope_per_year": -0.09363733840298513,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
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                            "lag1": 0.3288900444287058,
                            "n": 28,
                            "effective_n": 14.140431584070289,
                            "se_inflation": 1.4071736145991225,
                            "material": true
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 0.8174799575942606,
                            "mae": 0.7504606780579781
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                    },
                    {
                        "key": "theilsen",
                        "name": "Linear — Theil–Sen (robust)",
                        "ok": true,
                        "r2": 0.6346148396916922,
                        "aic": -28.37607082162257,
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                        "slope_per_year": -0.08041563527727764,
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                        "autocorrelation": {
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                            "effective_n": 14.492463507273145,
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                            "material": true
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                        "validation": {
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                            "holdout": 6,
                            "rmse": 0.5842475017185684,
                            "mae": 0.49542452151131844
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                    },
                    {
                        "key": "quadratic",
                        "name": "Quadratic (curvature)",
                        "ok": true,
                        "r2": 0.787141706810439,
                        "aic": -41.50518137259085,
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                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
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                            "n": 28,
                            "effective_n": 19.88551097910245,
                            "se_inflation": 1.1866171971919126,
                            "material": false
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 0.6826050078941795,
                            "mae": 0.608172995204446
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                    },
                    {
                        "key": "loglinear",
                        "name": "Log-linear (exponential)",
                        "ok": true,
                        "r2": 0.7134857223781866,
                        "aic": -35.18465334059695,
                        "k": 2,
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                        "growth_rate_per_year": -0.032709059719364,
                        "autocorrelation": {
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                            "lag1": 0.24230287320660077,
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                            "effective_n": 17.077574243593443,
                            "se_inflation": 1.2804597300574532,
                            "material": true
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 0.45855262922104584,
                            "mae": 0.3527120967090922
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                    },
                    {
                        "key": "holt",
                        "name": "Holt exponential smoothing",
                        "ok": true,
                        "r2": 0.6132764702081573,
                        "aic": -26.786846443891005,
                        "k": 2,
                        "residual_sd": 0.5988697627330039,
                        "slope_per_year": -0.06973377932165939,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": -0.07571681072009287,
                            "n": 28,
                            "effective_n": 28.0,
                            "se_inflation": 1.0,
                            "material": false
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 0.5323124236789379,
                            "mae": 0.43380779479387294
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                    },
                    {
                        "key": "mean",
                        "name": "Mean (reference)",
                        "ok": true,
                        "r2": 0.0,
                        "aic": -2.1855798763347565,
                        "k": 1,
                        "residual_sd": 0.9450110336785352,
                        "slope_per_year": null,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.6234601598032414,
                            "n": 28,
                            "effective_n": 6.494224981034973,
                            "se_inflation": 2.0764207046209826,
                            "material": true
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 0.9958801166537998,
                            "mae": 0.9518460577077633
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                    }
                ],
                "best_model": "loglinear",
                "best_by": "holdout_rmse",
                "selected_model": "ols",
                "holdout": 6,
                "trend": {
                    "ok": true,
                    "model": "ols",
                    "n": 28,
                    "slope_per_year": -0.09363733840298513,
                    "growth_rate_per_year": null,
                    "r2": 0.6643638348292182,
                    "residual_sd": 0.5579129761691409,
                    "slope_se": 0.01836713649238853,
                    "slope_se_naive": 0.013052502052222591,
                    "sen_interval": null,
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.3288900444287058,
                        "n": 28,
                        "effective_n": 14.140431584070289,
                        "se_inflation": 1.4071736145991225,
                        "material": true
                    },
                    "dof": 26,
                    "significant_95": true,
                    "fragile": false,
                    "span_years": 27.000684462696782,
                    "x0_timestamp": 788918400
                },
                "mann_kendall": {
                    "ok": true,
                    "s": -266,
                    "z": -5.235477665470097,
                    "significant_95": true,
                    "direction": "decreasing"
                },
                "agreement": "agree",
                "change_point": {
                    "ok": true,
                    "index": 13,
                    "label": "2008",
                    "timestamp": 1199145600,
                    "k": 172,
                    "p_value": 0.0008136088277369472,
                    "significant_95": true,
                    "confounded_by_trend": true,
                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
                "fit_gap": {
                    "last_observed": 1.7113594600725954,
                    "fitted_at_last": 1.3743066008481848,
                    "gap": 0.33705285922441064,
                    "gap_in_sd": 0.6041316004849961,
                    "large": false
                },
                "scenarios": [],
                "stationarity": {
                    "ok": true,
                    "adf": {
                        "ok": true,
                        "statistic": -2.0466192079418075,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": false,
                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.17935368377546815,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
                        },
                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "non_stationary",
                    "interpretation": "Both tests show non-stationarity: differencing (ARIMA d≥1) is required."
                },
                "residual_diagnostics": {
                    "ok": true,
                    "ljung_box": {
                        "ok": true,
                        "statistic": 4.752136655215783,
                        "lags": 6,
                        "dof": 4,
                        "p_value": 0.3136879704401128,
                        "residuals_are_white_5pct": true,
                        "acf": [
                            {
                                "lag": 1,
                                "r": 0.3288900444287058
                            },
                            {
                                "lag": 2,
                                "r": -0.0216678296480982
                            },
                            {
                                "lag": 3,
                                "r": 0.03878174725913676
                            },
                            {
                                "lag": 4,
                                "r": 0.17813242346312924
                            },
                            {
                                "lag": 5,
                                "r": 0.019523590980197267
                            },
                            {
                                "lag": 6,
                                "r": -0.07177042120072138
                            }
                        ],
                        "interpretation": "The residuals are consistent with white noise: the model appears to have left no capturable structure in the series.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
                        "ok": true,
                        "statistic": 11.397251297054199,
                        "skewness": 1.1071604546136766,
                        "kurtosis": 5.205868412052432,
                        "excess_kurtosis": 2.205868412052432,
                        "p_value": 0.0033505671514741657,
                        "normal_5pct": false,
                        "interpretation": "The residuals are not normally distributed. Analytical confidence intervals rest on that assumption; the block bootstrap interval is more reliable on this series.",
                        "shape": "right-skewed"
                    },
                    "breusch_pagan": {
                        "ok": true,
                        "statistic": 7.708438036629815,
                        "p_value": 0.005534002279554217,
                        "homoscedastic_5pct": false,
                        "slope_of_variance": -0.09185980059483703,
                        "interpretation": "The residual spread is SHRINKING over time. A single uncertainty band understates the start of the series."
                    },
                    "violations": [
                        "non-normal distribution",
                        "changing variance"
                    ],
                    "verdict": "Assumption(s) violated: non-normal distribution, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
                "theilsen": {
                    "ok": true,
                    "model": "theilsen",
                    "n": 28,
                    "slope_per_year": -0.08041563527727764,
                    "growth_rate_per_year": null,
                    "r2": 0.6346148396916922,
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                    "slope_se": 0.015079313242676987,
                    "slope_se_naive": 0.010848598960799677,
                    "sen_interval": {
                        "lower": -0.10296927656928036,
                        "upper": -0.06044276864294563,
                        "se_equivalent": 0.010848598960799677
                    },
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.31788075761752116,
                        "n": 28,
                        "effective_n": 14.492463507273145,
                        "se_inflation": 1.3899779406690735,
                        "material": true
                    },
                    "dof": 26,
                    "significant_95": true,
                    "fragile": false,
                    "span_years": 27.000684462696782,
                    "x0_timestamp": 788918400
                },
                "naive_holdout": {
                    "n": 6,
                    "rmse": 0.3247897724839451
                },
                "change_percent": -69.77425280897683
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        },
        {
            "unit": "ton\/gemi",
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            "run": {
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                    "unit": "ton\/gemi",
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                    "relationship": "context",
                    "data_types": [
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                "preprocessing": {
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                    "deseasonalise": false,
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                    "distinct_flags": 1,
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                "describe": {
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                        "label": "2020",
                        "v": 21.64950986799111,
                        "q": "",
                        "dt": ""
                    },
                    {
                        "t": 1609459200,
                        "label": "2021",
                        "v": 19.29357138185861,
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                        "dt": ""
                    },
                    {
                        "t": 1640995200,
                        "label": "2022",
                        "v": 19.804863481228672,
                        "q": "",
                        "dt": ""
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                ],
                "fit": {
                    "ok": true,
                    "model": "ols",
                    "n": 28,
                    "coef": {
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                        "b": -0.6515481141091662
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                    "k": 2,
                    "slope_per_year": -0.6515481141091662,
                    "fitted": [
                        35.23226653891335,
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                        33.92827838993649,
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                        20.24621395402326,
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                        18.291123651316493,
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                    "residuals": [
                        15.117733461086651,
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                        4.323045194454178,
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                        -1.7782567479148277,
                        0.09644700466304457,
                        3.019966147305201,
                        -0.8405927003945521,
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                        -6.09372403973498,
                        3.1641740595965047,
                        -2.295774471001149,
                        0.014828511226461671,
                        -1.749939852928943,
                        8.584561722396813,
                        2.7055002214276485,
                        1.0024477305421158,
                        2.164841983642077
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                    "rss": 619.3614743717219,
                    "r2": 0.556001341249994,
                    "residual_sd": 4.880737154174884,
                    "dof": 26,
                    "aic": 90.70156759956924,
                    "x_last": 27.000684462696782,
                    "x_mean": 13.500342231348395,
                    "sxx": 1827.0287638303862
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                "models": [
                    {
                        "key": "ols",
                        "name": "Linear trend (OLS)",
                        "ok": true,
                        "r2": 0.556001341249994,
                        "aic": 90.70156759956924,
                        "k": 2,
                        "residual_sd": 4.880737154174884,
                        "slope_per_year": -0.6515481141091662,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.22592142651080618,
                            "n": 28,
                            "effective_n": 17.679925963433163,
                            "se_inflation": 1.2584581992244608,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 6.528022353852593,
                            "mae": 5.618453227504223
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                    },
                    {
                        "key": "theilsen",
                        "name": "Linear — Theil–Sen (robust)",
                        "ok": true,
                        "r2": 0.525788308768505,
                        "aic": 92.54487161808568,
                        "k": 2,
                        "residual_sd": 5.044065520602068,
                        "slope_per_year": -0.546014079472285,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
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                            "n": 28,
                            "effective_n": 18.047190968561512,
                            "se_inflation": 1.2455874067003143,
                            "material": true
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                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 5.672109238238815,
                            "mae": 4.642072508287278
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                    },
                    {
                        "key": "quadratic",
                        "name": "Quadratic (curvature)",
                        "ok": true,
                        "r2": 0.6667731450473577,
                        "aic": 84.66562255089474,
                        "k": 3,
                        "residual_sd": 4.312024875500472,
                        "slope_per_year": 0.43733904645828514,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.12670199175616897,
                            "n": 28,
                            "effective_n": 21.70258365542948,
                            "se_inflation": 1.135856051597631,
                            "material": false
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 5.186811735925682,
                            "mae": 4.864620703480612
                        }
                    },
                    {
                        "key": "loglinear",
                        "name": "Log-linear (exponential)",
                        "ok": true,
                        "r2": 0.5860769233037232,
                        "aic": 88.73760867636639,
                        "k": 2,
                        "residual_sd": 4.712533066829717,
                        "slope_per_year": null,
                        "growth_rate_per_year": -0.022879774706820455,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.1771402889299939,
                            "n": 28,
                            "effective_n": 19.572919325447028,
                            "se_inflation": 1.1960551699615198,
                            "material": false
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 4.735984841255481,
                            "mae": 3.547982605901824
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                    },
                    {
                        "key": "holt",
                        "name": "Holt exponential smoothing",
                        "ok": true,
                        "r2": 0.36949971455209163,
                        "aic": 100.52094546277705,
                        "k": 2,
                        "residual_sd": 5.816171910013006,
                        "slope_per_year": -1.0719610128777282,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": -0.017694313990010712,
                            "n": 28,
                            "effective_n": 28.0,
                            "se_inflation": 1.0,
                            "material": false
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 5.713913064489759,
                            "mae": 4.6405502713274105
                        }
                    },
                    {
                        "key": "mean",
                        "name": "Mean (reference)",
                        "ok": true,
                        "r2": 0.0,
                        "aic": 111.43571224642749,
                        "k": 1,
                        "residual_sd": 7.18785624446913,
                        "slope_per_year": null,
                        "growth_rate_per_year": null,
                        "autocorrelation": {
                            "ok": true,
                            "lag1": 0.5089909653841577,
                            "n": 28,
                            "effective_n": 9.110891506062506,
                            "se_inflation": 1.75306725658367,
                            "material": true
                        },
                        "validation": {
                            "ok": true,
                            "holdout": 6,
                            "rmse": 7.178928755777682,
                            "mae": 6.545581846382267
                        }
                    }
                ],
                "best_model": "loglinear",
                "best_by": "holdout_rmse",
                "selected_model": "ols",
                "holdout": 6,
                "trend": {
                    "ok": true,
                    "model": "ols",
                    "n": 28,
                    "slope_per_year": -0.6515481141091662,
                    "growth_rate_per_year": null,
                    "r2": 0.556001341249994,
                    "residual_sd": 4.880737154174884,
                    "slope_se": 0.1436982642319584,
                    "slope_se_naive": 0.11418596527124547,
                    "sen_interval": null,
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.22592142651080618,
                        "n": 28,
                        "effective_n": 17.679925963433163,
                        "se_inflation": 1.2584581992244608,
                        "material": true
                    },
                    "dof": 26,
                    "significant_95": true,
                    "fragile": false,
                    "span_years": 27.000684462696782,
                    "x0_timestamp": 788918400
                },
                "mann_kendall": {
                    "ok": true,
                    "s": -228,
                    "z": -4.484729924761178,
                    "significant_95": true,
                    "direction": "decreasing"
                },
                "agreement": "agree",
                "change_point": {
                    "ok": true,
                    "index": 12,
                    "label": "2007",
                    "timestamp": 1167609600,
                    "k": 155,
                    "p_value": 0.0035280209736769934,
                    "significant_95": true,
                    "confounded_by_trend": true,
                    "note": "The series has a significant monotonic trend. On trending series the Pettitt test tends to place the break near the middle of the series; this result is not on its own evidence of a genuine regime change should not be counted as evidence; it should be read as a side effect of the trend."
                },
                "fit_gap": {
                    "last_observed": 19.804863481228672,
                    "fitted_at_last": 17.640021497586595,
                    "gap": 2.164841983642077,
                    "gap_in_sd": 0.4435481598902155,
                    "large": false
                },
                "scenarios": [],
                "stationarity": {
                    "ok": true,
                    "adf": {
                        "ok": true,
                        "statistic": -2.0285488723371152,
                        "lags": 5,
                        "trend_included": true,
                        "critical": {
                            "1%": -3.96,
                            "5%": -3.41,
                            "10%": -3.12
                        },
                        "reject_unit_root_5pct": false,
                        "interpretation": "The unit root could not be rejected: the series is probably not stationary. Differencing (d≥1) may be needed.",
                        "note": "The null hypothesis is THAT A UNIT ROOT EXISTS. Failing to reject it does not prove non-stationarity; the test has low power on short series It must therefore be read together with KPSS."
                    },
                    "kpss": {
                        "ok": true,
                        "statistic": 0.1466983479855278,
                        "lags": 2,
                        "trend_included": true,
                        "critical": {
                            "1%": 0.216,
                            "5%": 0.146,
                            "10%": 0.119
                        },
                        "reject_stationarity_5pct": true,
                        "interpretation": "Stationarity is rejected at the 5% level: the series is not stationary.",
                        "note": "The null hypothesis is STATIONARITY; it is set the opposite way round from ADF. The two must be read together."
                    },
                    "verdict": "non_stationary",
                    "interpretation": "Both tests show non-stationarity: differencing (ARIMA d≥1) is required."
                },
                "residual_diagnostics": {
                    "ok": true,
                    "ljung_box": {
                        "ok": true,
                        "statistic": 3.993513179954617,
                        "lags": 6,
                        "dof": 4,
                        "p_value": 0.4068844571812298,
                        "residuals_are_white_5pct": true,
                        "acf": [
                            {
                                "lag": 1,
                                "r": 0.22592142651080618
                            },
                            {
                                "lag": 2,
                                "r": -0.10375699013490589
                            },
                            {
                                "lag": 3,
                                "r": -0.03502747148721232
                            },
                            {
                                "lag": 4,
                                "r": 0.1753539301228806
                            },
                            {
                                "lag": 5,
                                "r": -0.05066742036385763
                            },
                            {
                                "lag": 6,
                                "r": -0.14890378039006275
                            }
                        ],
                        "interpretation": "The residuals are consistent with white noise: the model appears to have left no capturable structure in the series.",
                        "note": "Degrees of freedom are reduced by the number of fitted parameters; otherwise the test favours the model that produced the residuals."
                    },
                    "jarque_bera": {
                        "ok": true,
                        "statistic": 10.52114682180679,
                        "skewness": 1.1259483180707905,
                        "kurtosis": 4.9867278090863865,
                        "excess_kurtosis": 1.9867278090863865,
                        "p_value": 0.0051923265282781,
                        "normal_5pct": false,
                        "interpretation": "The residuals are not normally distributed. Analytical confidence intervals rest on that assumption; the block bootstrap interval is more reliable on this series.",
                        "shape": "right-skewed"
                    },
                    "breusch_pagan": {
                        "ok": true,
                        "statistic": 6.0018145408281,
                        "p_value": 0.013721166619092312,
                        "homoscedastic_5pct": false,
                        "slope_of_variance": -0.08105570568055423,
                        "interpretation": "The residual spread is SHRINKING over time. A single uncertainty band understates the start of the series."
                    },
                    "violations": [
                        "non-normal distribution",
                        "changing variance"
                    ],
                    "verdict": "Assumption(s) violated: non-normal distribution, changing variance. In that case read the block bootstrap interval rather than the analytical confidence intervals."
                },
                "theilsen": {
                    "ok": true,
                    "model": "theilsen",
                    "n": 28,
                    "slope_per_year": -0.546014079472285,
                    "growth_rate_per_year": null,
                    "r2": 0.525788308768505,
                    "residual_sd": 5.044065520602068,
                    "slope_se": 0.11996549121320714,
                    "slope_se_naive": 0.09631238287083178,
                    "sen_interval": {
                        "lower": -0.7787692687033061,
                        "upper": -0.4012247278496455,
                        "se_equivalent": 0.09631238287083178
                    },
                    "autocorrelation": {
                        "ok": true,
                        "lag1": 0.21614367395904172,
                        "n": 28,
                        "effective_n": 18.047190968561512,
                        "se_inflation": 1.2455874067003143,
                        "material": true
                    },
                    "dof": 26,
                    "significant_95": true,
                    "fragile": false,
                    "span_years": 27.000684462696782,
                    "x0_timestamp": 788918400
                },
                "naive_holdout": {
                    "n": 6,
                    "rmse": 3.8519208924267656
                },
                "change_percent": -60.665613741353184
            }
        }
    ]
}