{
"cells": [
{
"cell_type": "markdown",
"id": "intro",
"metadata": {},
"source": [
"# R5 vs TfL API Transit Time Comparison\n",
"\n",
"Compare transit travel times from the **R5 router** (`property-data/travel-times/transit/`) against the **TfL Journey Planner API** (`manual-data/journey_times_*.parquet`).\n",
"\n",
"**Column mapping:**\n",
"- R5 `travel_minutes` (50th percentile / median) ↔ Manual `public_transport_easy_minutes`\n",
"- R5 `best_minutes` (5th percentile) ↔ Manual `public_transport_quick_minutes`\n",
"\n",
"> **Note:** Only **Bank** has R5 transit data. Fitzrovia/TCR was not computed in R5 transit mode."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "imports",
"metadata": {},
"outputs": [],
"source": [
"import polars as pl\n",
"import plotly.express as px\n",
"import plotly.graph_objects as go\n",
"from plotly.subplots import make_subplots\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"id": "load-header",
"metadata": {},
"source": [
"## 1. Load & Join Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "load-data",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R5 Bank: 299,298 postcodes\n",
"Manual Bank: 930,847 postcodes (232,435 null easy)\n"
]
}
],
"source": [
"r5_bank = pl.read_parquet(\"../property-data/travel-times/transit/000000-bank-tube-station.parquet\")\n",
"manual_bank = pl.read_parquet(\"../manual-data/journey_times_bank.parquet\")\n",
"\n",
"print(f\"R5 Bank: {r5_bank.shape[0]:,} postcodes\")\n",
"print(f\"Manual Bank: {manual_bank.shape[0]:,} postcodes ({manual_bank['public_transport_easy_minutes'].null_count():,} null easy)\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "join-data",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Joined (non-null): 290,207 postcodes\n"
]
},
{
"data": {
"text/html": [
"
\n",
"
shape: (10, 7)| pcds | travel_minutes | public_transport_easy_minutes | error_easy | best_minutes | public_transport_quick_minutes | error_quick |
|---|
| str | i16 | i64 | f64 | i16 | i64 | f64 |
| "AL1 1AG" | 76 | 56 | 20.0 | 60 | 56 | 4.0 |
| "AL1 1AJ" | 75 | 55 | 20.0 | 59 | 55 | 4.0 |
| "AL1 1AR" | 87 | 68 | 19.0 | 71 | 66 | 5.0 |
| "AL1 1AS" | 75 | 55 | 20.0 | 59 | 55 | 4.0 |
| "AL1 1AT" | 83 | 63 | 20.0 | 67 | 63 | 4.0 |
| "AL1 1AU" | 83 | 63 | 20.0 | 67 | 63 | 4.0 |
| "AL1 1AW" | 81 | 61 | 20.0 | 65 | 61 | 4.0 |
| "AL1 1AX" | 76 | 55 | 21.0 | 60 | 55 | 5.0 |
| "AL1 1BH" | 79 | 59 | 20.0 | 62 | 59 | 3.0 |
| "AL1 1BX" | 80 | 60 | 20.0 | 62 | 58 | 4.0 |
"
],
"text/plain": [
"shape: (10, 7)\n",
"┌─────────┬───────────────┬───────────────┬────────────┬──────────────┬──────────────┬─────────────┐\n",
"│ pcds ┆ travel_minute ┆ public_transp ┆ error_easy ┆ best_minutes ┆ public_trans ┆ error_quick │\n",
"│ --- ┆ s ┆ ort_easy_minu ┆ --- ┆ --- ┆ port_quick_m ┆ --- │\n",
"│ str ┆ --- ┆ tes ┆ f64 ┆ i16 ┆ inutes ┆ f64 │\n",
"│ ┆ i16 ┆ --- ┆ ┆ ┆ --- ┆ │\n",
"│ ┆ ┆ i64 ┆ ┆ ┆ i64 ┆ │\n",
"╞═════════╪═══════════════╪═══════════════╪════════════╪══════════════╪══════════════╪═════════════╡\n",
"│ AL1 1AG ┆ 76 ┆ 56 ┆ 20.0 ┆ 60 ┆ 56 ┆ 4.0 │\n",
"│ AL1 1AJ ┆ 75 ┆ 55 ┆ 20.0 ┆ 59 ┆ 55 ┆ 4.0 │\n",
"│ AL1 1AR ┆ 87 ┆ 68 ┆ 19.0 ┆ 71 ┆ 66 ┆ 5.0 │\n",
"│ AL1 1AS ┆ 75 ┆ 55 ┆ 20.0 ┆ 59 ┆ 55 ┆ 4.0 │\n",
"│ AL1 1AT ┆ 83 ┆ 63 ┆ 20.0 ┆ 67 ┆ 63 ┆ 4.0 │\n",
"│ AL1 1AU ┆ 83 ┆ 63 ┆ 20.0 ┆ 67 ┆ 63 ┆ 4.0 │\n",
"│ AL1 1AW ┆ 81 ┆ 61 ┆ 20.0 ┆ 65 ┆ 61 ┆ 4.0 │\n",
"│ AL1 1AX ┆ 76 ┆ 55 ┆ 21.0 ┆ 60 ┆ 55 ┆ 5.0 │\n",
"│ AL1 1BH ┆ 79 ┆ 59 ┆ 20.0 ┆ 62 ┆ 59 ┆ 3.0 │\n",
"│ AL1 1BX ┆ 80 ┆ 60 ┆ 20.0 ┆ 62 ┆ 58 ┆ 4.0 │\n",
"└─────────┴───────────────┴───────────────┴────────────┴──────────────┴──────────────┴─────────────┘"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Join on postcode, keep only rows where both sources have values\n",
"bank = (\n",
" r5_bank\n",
" .join(manual_bank, left_on=\"pcds\", right_on=\"postcode\", how=\"inner\")\n",
" .filter(\n",
" pl.col(\"public_transport_easy_minutes\").is_not_null()\n",
" & pl.col(\"public_transport_quick_minutes\").is_not_null()\n",
" )\n",
" .with_columns([\n",
" # Signed error: R5 - Manual (positive = R5 is slower)\n",
" (pl.col(\"travel_minutes\").cast(pl.Float64) - pl.col(\"public_transport_easy_minutes\").cast(pl.Float64)).alias(\"error_easy\"),\n",
" (pl.col(\"best_minutes\").cast(pl.Float64) - pl.col(\"public_transport_quick_minutes\").cast(pl.Float64)).alias(\"error_quick\"),\n",
" # Absolute error\n",
" (pl.col(\"travel_minutes\").cast(pl.Float64) - pl.col(\"public_transport_easy_minutes\").cast(pl.Float64)).abs().alias(\"abs_error_easy\"),\n",
" (pl.col(\"best_minutes\").cast(pl.Float64) - pl.col(\"public_transport_quick_minutes\").cast(pl.Float64)).abs().alias(\"abs_error_quick\"),\n",
" ])\n",
")\n",
"\n",
"print(f\"Joined (non-null): {bank.shape[0]:,} postcodes\")\n",
"bank.select(\"pcds\", \"travel_minutes\", \"public_transport_easy_minutes\", \"error_easy\",\n",
" \"best_minutes\", \"public_transport_quick_minutes\", \"error_quick\").head(10)"
]
},
{
"cell_type": "markdown",
"id": "stats-header",
"metadata": {},
"source": [
"## 2. Aggregate Error Statistics\n",
"\n",
"Error = R5 − Manual (positive means R5 estimates a longer journey)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "stats",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
shape: (8, 5)| percentile | Median (easy) signed error | Median (easy) absolute error | Best (quick) signed error | Best (quick) absolute error |
|---|
| str | f64 | f64 | f64 | f64 |
| "p5" | -34.0 | 1.0 | -12.0 | 0.0 |
| "p25" | -11.0 | 3.0 | -6.0 | 2.0 |
| "p50" | -1.0 | 9.0 | -2.0 | 4.0 |
| "p80" | 11.0 | 23.0 | 3.0 | 8.0 |
| "p90" | 19.0 | 31.0 | 7.0 | 12.0 |
| "p95" | 26.0 | 36.0 | 12.0 | 16.0 |
| "p99" | 38.0 | 47.0 | 20.0 | 37.0 |
| "mean" | -2.1 | 13.1 | -2.1 | 6.0 |
"
],
"text/plain": [
"shape: (8, 5)\n",
"┌────────────┬───────────────┬────────────────┬─────────────────────┬──────────────────────────────┐\n",
"│ percentile ┆ Median (easy) ┆ Median (easy) ┆ Best (quick) signed ┆ Best (quick) absolute error │\n",
"│ --- ┆ signed error ┆ absolute error ┆ error ┆ --- │\n",
"│ str ┆ --- ┆ --- ┆ --- ┆ f64 │\n",
"│ ┆ f64 ┆ f64 ┆ f64 ┆ │\n",
"╞════════════╪═══════════════╪════════════════╪═════════════════════╪══════════════════════════════╡\n",
"│ p5 ┆ -34.0 ┆ 1.0 ┆ -12.0 ┆ 0.0 │\n",
"│ p25 ┆ -11.0 ┆ 3.0 ┆ -6.0 ┆ 2.0 │\n",
"│ p50 ┆ -1.0 ┆ 9.0 ┆ -2.0 ┆ 4.0 │\n",
"│ p80 ┆ 11.0 ┆ 23.0 ┆ 3.0 ┆ 8.0 │\n",
"│ p90 ┆ 19.0 ┆ 31.0 ┆ 7.0 ┆ 12.0 │\n",
"│ p95 ┆ 26.0 ┆ 36.0 ┆ 12.0 ┆ 16.0 │\n",
"│ p99 ┆ 38.0 ┆ 47.0 ┆ 20.0 ┆ 37.0 │\n",
"│ mean ┆ -2.1 ┆ 13.1 ┆ -2.1 ┆ 6.0 │\n",
"└────────────┴───────────────┴────────────────┴─────────────────────┴──────────────────────────────┘"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def percentile_stats(col_name: str, label: str) -> pl.DataFrame:\n",
" col = bank[col_name].to_numpy()\n",
" abs_col = np.abs(col)\n",
" percentiles = [5, 25, 50, 80, 90, 95, 99]\n",
" rows = []\n",
" for p in percentiles:\n",
" rows.append({\n",
" \"percentile\": f\"p{p}\",\n",
" f\"{label} signed error\": round(float(np.percentile(col, p)), 1),\n",
" f\"{label} absolute error\": round(float(np.percentile(abs_col, p)), 1),\n",
" })\n",
" rows.append({\n",
" \"percentile\": \"mean\",\n",
" f\"{label} signed error\": round(float(np.mean(col)), 1),\n",
" f\"{label} absolute error\": round(float(np.mean(abs_col)), 1),\n",
" })\n",
" return pl.DataFrame(rows)\n",
"\n",
"stats_easy = percentile_stats(\"error_easy\", \"Median (easy)\")\n",
"stats_quick = percentile_stats(\"error_quick\", \"Best (quick)\")\n",
"\n",
"stats = stats_easy.join(stats_quick, on=\"percentile\", how=\"inner\")\n",
"stats"
]
},
{
"cell_type": "markdown",
"id": "hist-header",
"metadata": {},
"source": [
"## 3. Error Distribution"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "histogram",
"metadata": {},
"outputs": [
{
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"nbinsx": 120,
"type": "histogram",
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"source": [
"fig = make_subplots(rows=1, cols=2, subplot_titles=[\n",
" \"Median transit time error (R5 − TfL)\",\n",
" \"Best transit time error (R5 − TfL)\"\n",
"])\n",
"\n",
"# Clip for readability\n",
"easy_clipped = bank[\"error_easy\"].clip(-60, 60).to_numpy()\n",
"quick_clipped = bank[\"error_quick\"].clip(-60, 60).to_numpy()\n",
"\n",
"fig.add_trace(go.Histogram(x=easy_clipped, nbinsx=120, name=\"Median (easy)\",\n",
" marker_color=\"#0d9488\"), row=1, col=1)\n",
"fig.add_trace(go.Histogram(x=quick_clipped, nbinsx=120, name=\"Best (quick)\",\n",
" marker_color=\"#f59e0b\"), row=1, col=2)\n",
"\n",
"fig.update_xaxes(title_text=\"Error (minutes)\", row=1, col=1)\n",
"fig.update_xaxes(title_text=\"Error (minutes)\", row=1, col=2)\n",
"fig.update_yaxes(title_text=\"Count\", row=1, col=1)\n",
"fig.update_layout(height=400, showlegend=False, title_text=\"Bank: Error Distribution (clipped ±60 min)\")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "scatter-header",
"metadata": {},
"source": [
"## 4. R5 vs Manual Scatter"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "scatter",
"metadata": {},
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"domain": [
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"title": {
"text": "R5 (minutes)"
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"source": [
"# Sample for scatter plot performance\n",
"sample = bank.sample(n=min(20_000, bank.shape[0]), seed=42)\n",
"\n",
"fig = make_subplots(rows=1, cols=2, subplot_titles=[\n",
" \"Median: R5 vs TfL (easy)\",\n",
" \"Best: R5 vs TfL (quick)\"\n",
"])\n",
"\n",
"fig.add_trace(go.Scattergl(\n",
" x=sample[\"public_transport_easy_minutes\"].to_numpy(),\n",
" y=sample[\"travel_minutes\"].cast(pl.Float64).to_numpy(),\n",
" mode=\"markers\", marker=dict(size=2, opacity=0.3, color=\"#0d9488\"),\n",
" name=\"Median\"\n",
"), row=1, col=1)\n",
"\n",
"fig.add_trace(go.Scattergl(\n",
" x=sample[\"public_transport_quick_minutes\"].to_numpy(),\n",
" y=sample[\"best_minutes\"].cast(pl.Float64).to_numpy(),\n",
" mode=\"markers\", marker=dict(size=2, opacity=0.3, color=\"#f59e0b\"),\n",
" name=\"Best\"\n",
"), row=1, col=2)\n",
"\n",
"# Perfect agreement line\n",
"for col in [1, 2]:\n",
" fig.add_trace(go.Scatter(x=[0, 200], y=[0, 200], mode=\"lines\",\n",
" line=dict(color=\"red\", dash=\"dash\", width=1),\n",
" showlegend=False), row=1, col=col)\n",
" fig.update_xaxes(title_text=\"TfL API (minutes)\", row=1, col=col)\n",
" fig.update_yaxes(title_text=\"R5 (minutes)\", row=1, col=col)\n",
"\n",
"fig.update_layout(height=500, showlegend=False, title_text=\"Bank: R5 vs TfL API (20k sample)\")\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "map-header",
"metadata": {},
"source": [
"## 5. Map: Signed Error per Postcode (Bank)\n",
"\n",
"Blue = R5 faster than TfL, Red = R5 slower than TfL"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "map-easy",
"metadata": {},
"outputs": [
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