Rewrite analysis notebook to attach to running node

Uses Repo, Scorer, BandConfig, Weather directly instead of raw SQL.
Scores all historical contacts with the real composite_score/2 and
includes factor heatmaps and weight sensitivity analysis.
This commit is contained in:
Graham McIntire 2026-04-07 08:47:28 -05:00
parent 7f0e1f4182
commit 6252aff728

View file

@ -1,106 +1,86 @@
# Propagation Algorithm Analysis
```elixir
Mix.install([
{:postgrex, "~> 0.19"},
{:ecto_sql, "~> 3.12"},
{:kino, "~> 0.14"},
{:kino_vega_lite, "~> 0.1"},
{:explorer, "~> 0.10"},
{:statistex, "~> 1.0"}
])
## Setup — Attach to Running Node
Start your dev server with a node name:
```
iex --sname prop -S mix phx.server
```
## Database Connection
Then in Livebook, use **Runtime > Configure > Attached node** and connect to `prop@<hostname>`.
```elixir
{:ok, conn} = Postgrex.start_link(
hostname: "localhost",
database: "microwaveprop_dev",
username: "postgres",
password: "postgres",
port: 5432
)
```
# Verify we have access to the app
alias Microwaveprop.Repo
alias Microwaveprop.Radio
alias Microwaveprop.Radio.Contact
alias Microwaveprop.Weather
alias Microwaveprop.Weather.HrrrProfile
alias Microwaveprop.Terrain
alias Microwaveprop.Terrain.TerrainAnalysis
alias Microwaveprop.Propagation.Scorer
alias Microwaveprop.Propagation.BandConfig
## Helper Functions
import Ecto.Query
```elixir
defmodule Q do
@doc "Run a query and return results as a list of maps"
def query!(conn, sql, params \\ []) do
%{columns: cols, rows: rows} = Postgrex.query!(conn, sql, params)
Enum.map(rows, fn row -> Enum.zip(cols, row) |> Map.new() end)
end
@doc "Run a query and return as an Explorer DataFrame"
def df!(conn, sql, params \\ []) do
%{columns: cols, rows: rows} = Postgrex.query!(conn, sql, params)
cols
|> Enum.with_index()
|> Enum.map(fn {col, i} -> {col, Enum.map(rows, &Enum.at(&1, i))} end)
|> Map.new()
|> Explorer.DataFrame.new()
end
end
Repo.aggregate(Contact, :count) |> then(&"Connected — #{&1} contacts in DB")
```
## 1. Contact Overview
```elixir
Q.query!(conn, """
SELECT COUNT(*) as total,
COUNT(*) FILTER (WHERE distance_km < 3000) as tropo,
COUNT(*) FILTER (WHERE distance_km >= 3000) as eme,
COUNT(DISTINCT band) as bands,
MIN(qso_timestamp) as earliest,
MAX(qso_timestamp) as latest
FROM contacts
""")
|> hd()
|> Kino.Tree.new()
band_summary =
Contact
|> where([c], c.distance_km < 3000)
|> group_by([c], c.band)
|> select([c], %{
band_mhz: c.band,
count: count(),
avg_dist_km: type(avg(c.distance_km), :float),
max_dist_km: type(max(c.distance_km), :float)
})
|> order_by([c], c.band)
|> Repo.all()
Kino.DataTable.new(band_summary, name: "Contacts by Band")
```
```elixir
# Contacts by band
Q.df!(conn, """
SELECT band::integer as band_mhz, COUNT(*) as count,
ROUND(AVG(distance_km::numeric), 1) as avg_dist_km,
ROUND(MAX(distance_km::numeric), 1) as max_dist_km
FROM contacts
WHERE distance_km < 3000
GROUP BY band ORDER BY band
""")
|> Kino.DataTable.new()
```
```elixir
# Contacts by month — when do contacts happen?
contacts_by_month = Q.df!(conn, """
SELECT EXTRACT(MONTH FROM qso_timestamp)::integer as month,
COUNT(*) as count
FROM contacts WHERE distance_km < 3000
GROUP BY 1 ORDER BY 1
""")
# Contacts by month
monthly =
Contact
|> where([c], c.distance_km < 3000)
|> group_by([c], fragment("EXTRACT(MONTH FROM ?)", c.qso_timestamp))
|> select([c], %{
month: fragment("EXTRACT(MONTH FROM ?)::integer", c.qso_timestamp),
count: count()
})
|> order_by([c], fragment("1"))
|> Repo.all()
VegaLite.new(width: 600, height: 300, title: "Tropo Contacts by Month")
|> VegaLite.data_from_values(contacts_by_month |> Explorer.DataFrame.to_rows())
|> VegaLite.data_from_values(monthly)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "month", type: :ordinal)
|> VegaLite.encode_field(:y, "count", type: :quantitative)
```
```elixir
# Contacts by hour of day
contacts_by_hour = Q.df!(conn, """
SELECT EXTRACT(HOUR FROM qso_timestamp)::integer as utc_hour,
COUNT(*) as count
FROM contacts WHERE distance_km < 3000
GROUP BY 1 ORDER BY 1
""")
# Contacts by hour
hourly =
Contact
|> where([c], c.distance_km < 3000)
|> group_by([c], fragment("EXTRACT(HOUR FROM ?)", c.qso_timestamp))
|> select([c], %{
utc_hour: fragment("EXTRACT(HOUR FROM ?)::integer", c.qso_timestamp),
count: count()
})
|> order_by([c], fragment("1"))
|> Repo.all()
VegaLite.new(width: 600, height: 300, title: "Tropo Contacts by UTC Hour")
|> VegaLite.data_from_values(contacts_by_hour |> Explorer.DataFrame.to_rows())
|> VegaLite.data_from_values(hourly)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "utc_hour", type: :ordinal)
|> VegaLite.encode_field(:y, "count", type: :quantitative)
@ -108,56 +88,64 @@ VegaLite.new(width: 600, height: 300, title: "Tropo Contacts by UTC Hour")
## 2. HRRR Conditions at Contact Time
Join contacts with their nearest HRRR profile to see what atmospheric
conditions were present when contacts actually happened.
```elixir
# Contacts with HRRR data — the core analysis dataset
contact_hrrr = Q.df!(conn, """
SELECT
c.id,
c.band::integer as band_mhz,
c.distance_km::float as distance_km,
c.qso_timestamp,
EXTRACT(MONTH FROM c.qso_timestamp)::integer as month,
EXTRACT(HOUR FROM c.qso_timestamp)::integer as utc_hour,
h.surface_temp as temp_c,
h.surface_dewpoint as dewpoint_c,
(h.surface_temp - h.surface_dewpoint) as td_depression_c,
h.surface_pressure as pressure_mb,
h.surface_refractivity,
h.min_refractivity_gradient,
h.hpbl_m as bl_depth_m,
h.pwat_mm,
h.ducting_detected
FROM contacts c
JOIN LATERAL (
SELECT *
FROM hrrr_profiles hp
WHERE hp.lat BETWEEN ROUND((c.pos1->>'lat')::numeric, 2) - 0.07
AND ROUND((c.pos1->>'lat')::numeric, 2) + 0.07
AND hp.lon BETWEEN ROUND(COALESCE((c.pos1->>'lon')::numeric, (c.pos1->>'lng')::numeric), 2) - 0.07
AND ROUND(COALESCE((c.pos1->>'lon')::numeric, (c.pos1->>'lng')::numeric), 2) + 0.07
AND hp.valid_time BETWEEN c.qso_timestamp - interval '1 hour'
AND c.qso_timestamp + interval '1 hour'
ORDER BY ABS(EXTRACT(EPOCH FROM hp.valid_time - c.qso_timestamp))
LIMIT 1
) h ON true
WHERE c.distance_km < 3000
AND c.pos1 IS NOT NULL
""")
# Load tropo contacts with HRRR data via the app's existing lookup
contacts =
Contact
|> where([c], c.distance_km < 3000 and not is_nil(c.pos1))
|> order_by([c], desc: c.qso_timestamp)
|> Repo.all()
Kino.DataTable.new(contact_hrrr, name: "Contacts + HRRR")
contact_hrrr =
contacts
|> Task.async_stream(
fn contact ->
hrrr = Weather.hrrr_for_contact(contact)
if hrrr, do: {contact, hrrr}, else: nil
end,
max_concurrency: 8,
timeout: 10_000
)
|> Enum.flat_map(fn
{:ok, nil} -> []
{:ok, pair} -> [pair]
_ -> []
end)
"#{length(contact_hrrr)} contacts matched with HRRR data (of #{length(contacts)} tropo contacts)"
```
## 3. Factor Distributions — What Does the Atmosphere Look Like During Contacts?
```elixir
# Build analysis rows
analysis_rows =
Enum.map(contact_hrrr, fn {contact, hrrr} ->
%{
id: contact.id,
band_mhz: Decimal.to_integer(contact.band),
distance_km: Decimal.to_float(contact.distance_km),
month: contact.qso_timestamp.month,
utc_hour: contact.qso_timestamp.hour,
temp_c: hrrr.surface_temp,
dewpoint_c: hrrr.surface_dewpoint,
td_depression_c: if(hrrr.surface_temp && hrrr.surface_dewpoint,
do: hrrr.surface_temp - hrrr.surface_dewpoint, else: nil),
pressure_mb: hrrr.surface_pressure,
surface_refractivity: hrrr.surface_refractivity,
min_refractivity_gradient: hrrr.min_refractivity_gradient,
bl_depth_m: hrrr.hpbl_m,
pwat_mm: hrrr.pwat_mm,
ducting_detected: hrrr.ducting_detected
}
end)
Kino.DataTable.new(analysis_rows, name: "Contacts + HRRR")
```
## 3. Factor Distributions
```elixir
rows = Explorer.DataFrame.to_rows(contact_hrrr)
# Refractivity gradient distribution
VegaLite.new(width: 600, height: 300, title: "Refractivity Gradient at Contact Time")
|> VegaLite.data_from_values(rows)
|> VegaLite.data_from_values(analysis_rows)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "min_refractivity_gradient",
type: :quantitative, bin: %{step: 20}, title: "Min Refractivity Gradient (N-units/km)"
@ -166,9 +154,8 @@ VegaLite.new(width: 600, height: 300, title: "Refractivity Gradient at Contact T
```
```elixir
# Td depression distribution
VegaLite.new(width: 600, height: 300, title: "Td Depression at Contact Time")
|> VegaLite.data_from_values(rows)
|> VegaLite.data_from_values(analysis_rows)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "td_depression_c",
type: :quantitative, bin: %{step: 1}, title: "T - Td (C)"
@ -177,9 +164,8 @@ VegaLite.new(width: 600, height: 300, title: "Td Depression at Contact Time")
```
```elixir
# Boundary layer depth
VegaLite.new(width: 600, height: 300, title: "Boundary Layer Depth at Contact Time")
|> VegaLite.data_from_values(rows)
|> VegaLite.data_from_values(analysis_rows)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "bl_depth_m",
type: :quantitative, bin: %{step: 100}, title: "BL Depth (m)"
@ -188,9 +174,8 @@ VegaLite.new(width: 600, height: 300, title: "Boundary Layer Depth at Contact Ti
```
```elixir
# PWAT distribution
VegaLite.new(width: 600, height: 300, title: "Precipitable Water at Contact Time")
|> VegaLite.data_from_values(rows)
|> VegaLite.data_from_values(analysis_rows)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "pwat_mm",
type: :quantitative, bin: %{step: 3}, title: "PWAT (mm)"
@ -201,32 +186,18 @@ VegaLite.new(width: 600, height: 300, title: "Precipitable Water at Contact Time
## 4. Ducting Analysis
```elixir
# Ducting rate by month
ducting_monthly = Q.df!(conn, """
SELECT
EXTRACT(MONTH FROM c.qso_timestamp)::integer as month,
COUNT(*) as total,
COUNT(*) FILTER (WHERE h.ducting_detected = true) as ducting,
ROUND(100.0 * COUNT(*) FILTER (WHERE h.ducting_detected = true) / COUNT(*), 1) as ducting_pct
FROM contacts c
JOIN LATERAL (
SELECT ducting_detected
FROM hrrr_profiles hp
WHERE hp.lat BETWEEN ROUND((c.pos1->>'lat')::numeric, 2) - 0.07
AND ROUND((c.pos1->>'lat')::numeric, 2) + 0.07
AND hp.lon BETWEEN ROUND(COALESCE((c.pos1->>'lon')::numeric, (c.pos1->>'lng')::numeric), 2) - 0.07
AND ROUND(COALESCE((c.pos1->>'lon')::numeric, (c.pos1->>'lng')::numeric), 2) + 0.07
AND hp.valid_time BETWEEN c.qso_timestamp - interval '1 hour'
AND c.qso_timestamp + interval '1 hour'
ORDER BY ABS(EXTRACT(EPOCH FROM hp.valid_time - c.qso_timestamp))
LIMIT 1
) h ON true
WHERE c.distance_km < 3000 AND c.pos1 IS NOT NULL
GROUP BY 1 ORDER BY 1
""")
ducting_monthly =
analysis_rows
|> Enum.group_by(& &1.month)
|> Enum.map(fn {month, rows} ->
total = length(rows)
ducting = Enum.count(rows, & &1.ducting_detected)
%{month: month, total: total, ducting: ducting, ducting_pct: Float.round(100.0 * ducting / max(total, 1), 1)}
end)
|> Enum.sort_by(& &1.month)
VegaLite.new(width: 600, height: 300, title: "Ducting Detection Rate by Month (at contact time)")
|> VegaLite.data_from_values(ducting_monthly |> Explorer.DataFrame.to_rows())
|> VegaLite.data_from_values(ducting_monthly)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "month", type: :ordinal)
|> VegaLite.encode_field(:y, "ducting_pct", type: :quantitative, title: "% Ducting")
@ -234,71 +205,64 @@ VegaLite.new(width: 600, height: 300, title: "Ducting Detection Rate by Month (a
## 5. Distance vs Atmospheric Conditions
Do contacts at longer distances correlate with better atmospheric conditions?
```elixir
# Distance vs refractivity gradient (scatter)
VegaLite.new(width: 600, height: 400, title: "Distance vs Refractivity Gradient")
|> VegaLite.data_from_values(rows)
|> VegaLite.data_from_values(analysis_rows)
|> VegaLite.mark(:circle, opacity: 0.3, size: 15)
|> VegaLite.encode_field(:x, "min_refractivity_gradient",
type: :quantitative, title: "Min Refractivity Gradient"
)
|> VegaLite.encode_field(:y, "distance_km",
type: :quantitative, title: "Distance (km)"
)
|> VegaLite.encode_field(:y, "distance_km", type: :quantitative, title: "Distance (km)")
|> VegaLite.encode_field(:color, "band_mhz", type: :nominal, title: "Band (MHz)")
```
```elixir
# Distance vs Td depression
VegaLite.new(width: 600, height: 400, title: "Distance vs Td Depression")
|> VegaLite.data_from_values(rows)
|> VegaLite.data_from_values(analysis_rows)
|> VegaLite.mark(:circle, opacity: 0.3, size: 15)
|> VegaLite.encode_field(:x, "td_depression_c",
type: :quantitative, title: "T - Td (C)"
)
|> VegaLite.encode_field(:y, "distance_km",
type: :quantitative, title: "Distance (km)"
)
|> VegaLite.encode_field(:x, "td_depression_c", type: :quantitative, title: "T - Td (C)")
|> VegaLite.encode_field(:y, "distance_km", type: :quantitative, title: "Distance (km)")
|> VegaLite.encode_field(:color, "band_mhz", type: :nominal, title: "Band (MHz)")
```
## 6. Terrain Impact
```elixir
terrain_stats = Q.df!(conn, """
SELECT
tp.verdict,
COUNT(*) as count,
ROUND(AVG(c.distance_km::numeric), 1) as avg_dist_km,
ROUND(AVG(tp.diffraction_db::numeric), 1) as avg_diffraction_db,
ROUND(AVG(tp.min_clearance_m::numeric), 1) as avg_clearance_m
FROM terrain_profiles tp
JOIN contacts c ON c.id = tp.contact_id
WHERE c.distance_km < 3000
GROUP BY tp.verdict
ORDER BY count DESC
""")
terrain_stats =
Repo.all(
from tp in "terrain_profiles",
join: c in Contact, on: c.id == tp.contact_id,
where: c.distance_km < 3000,
group_by: tp.verdict,
select: %{
verdict: tp.verdict,
count: count(),
avg_dist_km: type(avg(c.distance_km), :float),
avg_diffraction_db: type(avg(tp.diffraction_db), :float),
avg_clearance_m: type(avg(tp.min_clearance_m), :float)
},
order_by: [desc: count()]
)
Kino.DataTable.new(terrain_stats, name: "Terrain Verdicts")
```
```elixir
# Diffraction loss vs distance
terrain_scatter = Q.df!(conn, """
SELECT
c.band::integer as band_mhz,
c.distance_km::float as distance_km,
tp.diffraction_db::float as diffraction_db,
tp.verdict
FROM terrain_profiles tp
JOIN contacts c ON c.id = tp.contact_id
WHERE c.distance_km < 3000
""")
terrain_scatter =
Repo.all(
from tp in "terrain_profiles",
join: c in Contact, on: c.id == tp.contact_id,
where: c.distance_km < 3000,
select: %{
band_mhz: type(c.band, :integer),
distance_km: type(c.distance_km, :float),
diffraction_db: type(tp.diffraction_db, :float),
verdict: tp.verdict
}
)
VegaLite.new(width: 600, height: 400, title: "Diffraction Loss vs Distance")
|> VegaLite.data_from_values(terrain_scatter |> Explorer.DataFrame.to_rows())
|> VegaLite.data_from_values(terrain_scatter)
|> VegaLite.mark(:circle, opacity: 0.2, size: 10)
|> VegaLite.encode_field(:x, "distance_km", type: :quantitative, title: "Distance (km)")
|> VegaLite.encode_field(:y, "diffraction_db", type: :quantitative, title: "Diffraction Loss (dB)")
@ -307,29 +271,24 @@ VegaLite.new(width: 600, height: 400, title: "Diffraction Loss vs Distance")
## 7. Commercial Link Correlation
Ground truth: do commercial link signal levels correlate with atmospheric conditions?
```elixir
commercial = Q.df!(conn, """
SELECT
cl.name, cl.frequency_ghz,
cs.sampled_at,
EXTRACT(HOUR FROM cs.sampled_at)::integer as utc_hour,
EXTRACT(MONTH FROM cs.sampled_at)::integer as month,
cs.rx_power_0::float as rx_power_dbm
FROM commercial_samples cs
JOIN commercial_links cl ON cl.id = cs.link_id
WHERE cs.rx_power_0 IS NOT NULL
ORDER BY cs.sampled_at
""")
commercial =
Repo.all(
from cs in "commercial_samples",
join: cl in "commercial_links", on: cl.id == cs.link_id,
where: not is_nil(cs.rx_power_0),
select: %{
name: cl.name,
frequency_ghz: cl.frequency_ghz,
sampled_at: cs.sampled_at,
utc_hour: fragment("EXTRACT(HOUR FROM ?)::integer", cs.sampled_at),
rx_power_dbm: type(cs.rx_power_0, :float)
},
order_by: cs.sampled_at
)
Kino.DataTable.new(commercial, name: "Commercial Samples")
```
```elixir
# Signal strength by hour of day per link
VegaLite.new(width: 600, height: 300, title: "Commercial Link Signal by Hour of Day")
|> VegaLite.data_from_values(commercial |> Explorer.DataFrame.to_rows())
|> VegaLite.data_from_values(commercial)
|> VegaLite.mark(:line, point: true)
|> VegaLite.encode_field(:x, "utc_hour", type: :ordinal)
|> VegaLite.encode_field(:y, "rx_power_dbm",
@ -338,73 +297,182 @@ VegaLite.new(width: 600, height: 300, title: "Commercial Link Signal by Hour of
|> VegaLite.encode_field(:color, "name", type: :nominal)
```
## 8. Scoring the Historical Contacts
Recompute scores for all contacts using the current algorithm and compare
factor weights. This section is a template — once you import the full dump
and attach to the running node, you can call `Scorer.composite_score/2` directly.
## 8. Score Historical Contacts with the Real Scorer
```elixir
# For now, compute a simplified composite score from HRRR data
# TODO: attach to running node for full Scorer access
# Score every contact using the actual Scorer.composite_score/2
scored =
contact_hrrr
|> Task.async_stream(
fn {contact, hrrr} ->
band_mhz = Decimal.to_integer(contact.band)
band_config = BandConfig.for_band(band_mhz)
# Humidity score approximation (beneficial band)
humidity_score = fn temp_c, dewpoint_c ->
if is_nil(temp_c) or is_nil(dewpoint_c), do: 50,
else: min(100, max(0, round(217 * 6.112 * :math.exp(17.67 * dewpoint_c / (dewpoint_c + 243.5)) / (temp_c + 273.15) * 5)))
end
temp_c = hrrr.surface_temp
dewpoint_c = hrrr.surface_dewpoint
temp_f = Scorer.c_to_f(temp_c)
dewpoint_f = Scorer.c_to_f(dewpoint_c)
# Td depression score (beneficial band)
td_score = fn temp_c, dewpoint_c ->
case temp_c - dewpoint_c do
d when d <= 1 -> 95
d when d <= 2 -> 88
d when d <= 3 -> 80
d when d <= 5 -> 65
d when d <= 8 -> 50
d when d <= 12 -> 35
_ -> 20
end
end
abs_hum =
if temp_c && dewpoint_c,
do: Scorer.absolute_humidity(temp_c, dewpoint_c),
else: 10.0
# Refractivity score
refrac_score = fn grad ->
cond do
is_nil(grad) -> 50
grad < -200 -> 98
grad < -150 -> 92
grad < -100 -> 82
grad < -75 -> 68
grad < -55 -> 55
grad < -40 -> 48
true -> 42
end
end
conditions = %{
abs_humidity: abs_hum,
utc_hour: contact.qso_timestamp.hour,
utc_minute: contact.qso_timestamp.minute,
month: contact.qso_timestamp.month,
longitude: (contact.pos1["lon"] || contact.pos1["lng"]) |> then(&(&1 || -97.0)),
temp_f: temp_f,
dewpoint_f: dewpoint_f,
min_refractivity_gradient: hrrr.min_refractivity_gradient,
bl_depth_m: hrrr.hpbl_m,
sky_cover_pct: nil,
wind_speed_kts: nil,
rain_rate_mmhr: 0.0,
pwat_mm: hrrr.pwat_mm,
pressure_mb: hrrr.surface_pressure,
prev_pressure_mb: nil
}
IO.puts("Scoring functions defined. Use with Explorer.DataFrame.mutate/2 or Enum.map/2")
%{score: score, factors: factors} = Scorer.composite_score(conditions, band_config)
%{
id: contact.id,
band_mhz: band_mhz,
distance_km: Decimal.to_float(contact.distance_km),
month: contact.qso_timestamp.month,
utc_hour: contact.qso_timestamp.hour,
score: score,
humidity: factors.humidity,
time_of_day: factors.time_of_day,
td_depression: factors.td_depression,
refractivity: factors.refractivity,
season: factors.season,
wind: factors.wind,
rain: factors.rain,
pwat: factors.pwat,
pressure: factors.pressure
}
end,
max_concurrency: System.schedulers_online(),
timeout: 5_000
)
|> Enum.flat_map(fn
{:ok, row} -> [row]
_ -> []
end)
"Scored #{length(scored)} contacts"
```
```elixir
# Score distribution
VegaLite.new(width: 600, height: 300, title: "Composite Score Distribution (at contact time)")
|> VegaLite.data_from_values(scored)
|> VegaLite.mark(:bar)
|> VegaLite.encode_field(:x, "score", type: :quantitative, bin: %{step: 5}, title: "Score")
|> VegaLite.encode(:y, aggregate: :count, type: :quantitative)
```
```elixir
# Score vs distance — does a higher score predict longer contacts?
VegaLite.new(width: 600, height: 400, title: "Score vs Distance Achieved")
|> VegaLite.data_from_values(scored)
|> VegaLite.mark(:circle, opacity: 0.3, size: 15)
|> VegaLite.encode_field(:x, "score", type: :quantitative, title: "Composite Score")
|> VegaLite.encode_field(:y, "distance_km", type: :quantitative, title: "Distance (km)")
|> VegaLite.encode_field(:color, "band_mhz", type: :nominal, title: "Band (MHz)")
```
```elixir
# Score by band — box plot
VegaLite.new(width: 600, height: 300, title: "Score Distribution by Band")
|> VegaLite.data_from_values(scored)
|> VegaLite.mark(:boxplot)
|> VegaLite.encode_field(:x, "band_mhz", type: :nominal, title: "Band (MHz)")
|> VegaLite.encode_field(:y, "score", type: :quantitative, title: "Composite Score")
```
```elixir
# Factor contribution heatmap — which factors drive the score?
factor_avgs =
[:humidity, :time_of_day, :td_depression, :refractivity, :season, :wind, :rain, :pwat, :pressure]
|> Enum.flat_map(fn factor ->
scored
|> Enum.group_by(& &1.band_mhz)
|> Enum.map(fn {band, rows} ->
avg = Enum.map(rows, &Map.get(&1, factor)) |> Enum.sum() |> then(&(&1 / length(rows)))
%{factor: Atom.to_string(factor), band_mhz: band, avg_score: Float.round(avg, 1)}
end)
end)
VegaLite.new(width: 600, height: 300, title: "Average Factor Scores by Band")
|> VegaLite.data_from_values(factor_avgs)
|> VegaLite.mark(:rect)
|> VegaLite.encode_field(:x, "band_mhz", type: :nominal, title: "Band (MHz)")
|> VegaLite.encode_field(:y, "factor", type: :nominal, title: "Factor")
|> VegaLite.encode_field(:color, "avg_score", type: :quantitative,
scale: %{scheme: "redyellowgreen", domain: [0, 100]}, title: "Avg Score"
)
```
## 9. Weight Sensitivity Analysis
Template for testing different weight configurations against historical data.
Test different weight configurations against the scored dataset.
```elixir
# Define weight sets to test
weight_sets = %{
current: %{humidity: 0.18, time_of_day: 0.10, td_depression: 0.10,
refractivity: 0.08, sky: 0.08, season: 0.08,
wind: 0.05, rain: 0.08, pressure: 0.15, pwat: 0.10},
weights = BandConfig.weights()
refractivity_heavy: %{humidity: 0.15, time_of_day: 0.08, td_depression: 0.10,
refractivity: 0.18, sky: 0.06, season: 0.08,
wind: 0.04, rain: 0.06, pressure: 0.12, pwat: 0.13},
# Recompute composite with custom weights
rescore = fn rows, custom_weights ->
Enum.map(rows, fn row ->
score =
Enum.reduce(custom_weights, 0.0, fn {factor, weight}, acc ->
acc + Map.get(row, factor, 50) * weight
end)
|> round()
humidity_heavy: %{humidity: 0.25, time_of_day: 0.08, td_depression: 0.12,
refractivity: 0.08, sky: 0.06, season: 0.08,
wind: 0.04, rain: 0.06, pressure: 0.12, pwat: 0.11}
Map.put(row, :custom_score, score)
end)
end
# Define alternative weight sets
alternatives = %{
current: weights,
refractivity_heavy: %{
humidity: 0.15, time_of_day: 0.08, td_depression: 0.10,
refractivity: 0.18, sky: 0.06, season: 0.08,
wind: 0.04, rain: 0.06, pressure: 0.12, pwat: 0.13
},
pressure_reduced: %{
humidity: 0.20, time_of_day: 0.12, td_depression: 0.12,
refractivity: 0.10, sky: 0.08, season: 0.08,
wind: 0.05, rain: 0.08, pressure: 0.07, pwat: 0.10
}
}
# TODO: score all contacts with each weight set,
# then correlate scores with distance achieved and commercial link signal levels
IO.puts("Weight sets defined: #{Map.keys(weight_sets) |> Enum.join(", ")}")
# Compare: correlation of score with distance for each weight set
comparisons =
Enum.map(alternatives, fn {name, w} ->
rescored = rescore.(scored, w)
scores = Enum.map(rescored, & &1.custom_score)
distances = Enum.map(rescored, & &1.distance_km)
n = length(scores)
mean_s = Enum.sum(scores) / n
mean_d = Enum.sum(distances) / n
cov = Enum.zip(scores, distances) |> Enum.map(fn {s, d} -> (s - mean_s) * (d - mean_d) end) |> Enum.sum()
var_s = Enum.map(scores, fn s -> (s - mean_s) ** 2 end) |> Enum.sum()
var_d = Enum.map(distances, fn d -> (d - mean_d) ** 2 end) |> Enum.sum()
r = if var_s > 0 and var_d > 0, do: cov / :math.sqrt(var_s * var_d), else: 0.0
%{weights: name, correlation_r: Float.round(r, 4), mean_score: Float.round(mean_s, 1)}
end)
Kino.DataTable.new(comparisons, name: "Weight Set Comparison (score-distance correlation)")
```