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Time Series Forecasting Engine for Telecom Analytics
Provides forecasting methods for all four domains:
1. Seasonal Usage Patterns
2. Technology Adoption Curves
3. Competitive Market Dynamics
4. Economic Impact Forecasting
"""
import pandas as pd
import numpy as np
from datetime import datetime, timedelta
import os
import json
# ---------------------------------------------------------------------------
# Helpers
# ---------------------------------------------------------------------------
def _moving_average_forecast(series, window=3, forecast_periods=12):
"""Weighted moving average forecast."""
values = series.values.astype(float)
weights = np.arange(1, window + 1, dtype=float)
weights /= weights.sum()
forecasts = list(values)
for _ in range(forecast_periods):
recent = np.array(forecasts[-window:])
forecasts.append(float(np.dot(recent, weights)))
return np.array(forecasts[-forecast_periods:])
def _seasonal_decompose_forecast(series, period=12, forecast_periods=12):
"""Simple seasonal decomposition + trend extrapolation."""
values = series.values.astype(float)
n = len(values)
# Trend via centered moving average
if n >= period:
trend = pd.Series(values).rolling(window=period, center=True).mean().values
# Fill edges
for i in range(n):
if np.isnan(trend[i]):
trend[i] = values[i]
else:
trend = values.copy()
# Seasonal component
detrended = values - trend
seasonal = np.zeros(period)
for i in range(period):
indices = list(range(i, n, period))
seasonal[i] = np.mean(detrended[indices])
# Extrapolate trend linearly
x = np.arange(n)
valid = ~np.isnan(trend)
if valid.sum() > 1:
coeffs = np.polyfit(x[valid], trend[valid], 1)
else:
coeffs = [0, values[-1]]
forecast_trend = np.polyval(coeffs, np.arange(n, n + forecast_periods))
forecast_seasonal = np.tile(seasonal, (forecast_periods // period + 2))[:forecast_periods]
forecast = forecast_trend + forecast_seasonal
return forecast
def _logistic_curve_forecast(current_values, k=0.65, forecast_periods=12):
"""Forecast S-curve / logistic adoption."""
values = current_values / 100.0 # convert from pct
n = len(values)
# Fit logistic parameters by least squares grid search
best_err = float('inf')
best_x0 = n // 2
best_L = 0.2
for x0_try in range(max(1, n // 4), n + 12):
for L_try in np.arange(0.05, 0.5, 0.05):
t = np.arange(n)
predicted = k / (1 + np.exp(-L_try * (t - x0_try)))
err = np.sum((predicted - values) ** 2)
if err < best_err:
best_err = err
best_x0 = x0_try
best_L = L_try
t_future = np.arange(n, n + forecast_periods)
forecast = k / (1 + np.exp(-best_L * (t_future - best_x0)))
return forecast * 100 # back to pct
def _exponential_smoothing(series, alpha=0.3, forecast_periods=12):
"""Simple exponential smoothing forecast."""
values = series.values.astype(float)
smoothed = [values[0]]
for v in values[1:]:
smoothed.append(alpha * v + (1 - alpha) * smoothed[-1])
forecasts = []
last = smoothed[-1]
# Add slight trend
if len(smoothed) > 1:
trend = (smoothed[-1] - smoothed[-6]) / 6 if len(smoothed) >= 6 else 0
else:
trend = 0
for i in range(forecast_periods):
next_val = last + trend
forecasts.append(next_val)
last = next_val
return np.array(forecasts)
# ---------------------------------------------------------------------------
# Forecast Functions per Domain
# ---------------------------------------------------------------------------
def forecast_seasonal_usage(seasonal_df, forecast_months=12):
"""Forecast seasonal usage patterns."""
last_date = pd.to_datetime(seasonal_df['date']).max()
forecast_dates = pd.date_range(start=last_date + pd.DateOffset(months=1),
periods=forecast_months, freq='ME')
# Forecast each metric
data_usage_forecast = _seasonal_decompose_forecast(
seasonal_df['avg_data_usage_gb'], period=12, forecast_periods=forecast_months)
voice_forecast = _seasonal_decompose_forecast(
seasonal_df['avg_voice_minutes'], period=12, forecast_periods=forecast_months)
network_load_forecast = _moving_average_forecast(
seasonal_df['network_load_factor'], window=4, forecast_periods=forecast_months)
network_load_forecast = np.clip(network_load_forecast, 0.3, 0.98)
peak_users_forecast = _seasonal_decompose_forecast(
seasonal_df['peak_concurrent_users'], period=12, forecast_periods=forecast_months)
# Predict holiday months
holiday_flags = []
for d in forecast_dates:
holiday_flags.append(1 if d.month in [2, 7, 9, 11, 12] else 0)
# Confidence intervals (wider for further out)
ci_width = np.linspace(0.05, 0.20, forecast_months)
result = {
'dates': [d.strftime('%Y-%m') for d in forecast_dates],
'data_usage': {
'forecast': np.round(np.maximum(data_usage_forecast, 2), 2).tolist(),
'upper': np.round(data_usage_forecast * (1 + ci_width), 2).tolist(),
'lower': np.round(data_usage_forecast * (1 - ci_width), 2).tolist(),
},
'voice_minutes': {
'forecast': np.round(np.maximum(voice_forecast, 50), 1).tolist(),
'upper': np.round(voice_forecast * (1 + ci_width * 0.8), 1).tolist(),
'lower': np.round(voice_forecast * (1 - ci_width * 0.8), 1).tolist(),
},
'network_load': {
'forecast': np.round(network_load_forecast, 3).tolist(),
'upper': np.round(np.clip(network_load_forecast + ci_width * 0.3, 0, 1), 3).tolist(),
'lower': np.round(np.clip(network_load_forecast - ci_width * 0.3, 0, 1), 3).tolist(),
},
'peak_users': {
'forecast': np.round(np.maximum(peak_users_forecast, 10000)).astype(int).tolist(),
'upper': np.round(peak_users_forecast * (1 + ci_width)).astype(int).tolist(),
'lower': np.round(peak_users_forecast * (1 - ci_width)).astype(int).tolist(),
},
'holiday_months': holiday_flags,
}
# Historical data for chart context
hist = seasonal_df.tail(12)
result['historical'] = {
'dates': [pd.to_datetime(d).strftime('%Y-%m') for d in hist['date']],
'data_usage': hist['avg_data_usage_gb'].round(2).tolist(),
'voice_minutes': hist['avg_voice_minutes'].round(1).tolist(),
'network_load': hist['network_load_factor'].round(3).tolist(),
'peak_users': hist['peak_concurrent_users'].tolist(),
}
return result
def forecast_tech_adoption(tech_df, forecast_months=12):
"""Forecast 5G adoption and technology migration."""
last_date = pd.to_datetime(tech_df['date']).max()
forecast_dates = pd.date_range(start=last_date + pd.DateOffset(months=1),
periods=forecast_months, freq='ME')
# 5G adoption via logistic curve
five_g_forecast = _logistic_curve_forecast(
tech_df['five_g_adoption_pct'].values, k=0.65, forecast_periods=forecast_months)
# Tower deployment trend
towers_forecast = _exponential_smoothing(
tech_df['five_g_towers_cumulative'], alpha=0.4, forecast_periods=forecast_months)
towers_forecast = np.maximum(towers_forecast, tech_df['five_g_towers_cumulative'].iloc[-1])
# Speed improvement
speed_forecast = _moving_average_forecast(
tech_df['avg_5g_speed_mbps'], window=4, forecast_periods=forecast_months)
# Revenue premium
premium_forecast = _exponential_smoothing(
tech_df['five_g_revenue_premium_pct'], alpha=0.35, forecast_periods=forecast_months)
# 4G and 3G derived
four_g_forecast = np.maximum(100 - five_g_forecast - 5, 20) # floor at 20%
three_g_forecast = 100 - five_g_forecast - four_g_forecast
ci_width = np.linspace(0.03, 0.15, forecast_months)
result = {
'dates': [d.strftime('%Y-%m') for d in forecast_dates],
'five_g_adoption': {
'forecast': np.round(five_g_forecast, 2).tolist(),
'upper': np.round(five_g_forecast * (1 + ci_width), 2).tolist(),
'lower': np.round(np.maximum(five_g_forecast * (1 - ci_width), 0), 2).tolist(),
},
'four_g_pct': np.round(four_g_forecast, 2).tolist(),
'three_g_pct': np.round(np.maximum(three_g_forecast, 1), 2).tolist(),
'towers_deployed': {
'forecast': np.round(towers_forecast).astype(int).tolist(),
},
'avg_speed': {
'forecast': np.round(speed_forecast, 1).tolist(),
},
'revenue_premium': {
'forecast': np.round(premium_forecast, 1).tolist(),
},
}
# Historical
hist = tech_df.tail(12)
result['historical'] = {
'dates': [pd.to_datetime(d).strftime('%Y-%m') for d in hist['date']],
'five_g_adoption': hist['five_g_adoption_pct'].round(2).tolist(),
'four_g_pct': hist['four_g_pct'].round(2).tolist(),
'three_g_pct': hist['three_g_pct'].round(2).tolist(),
'towers_deployed': hist['five_g_towers_cumulative'].tolist(),
'avg_speed': hist['avg_5g_speed_mbps'].round(1).tolist(),
}
return result
def forecast_competitive_dynamics(comp_df, forecast_months=12):
"""Forecast competitive market dynamics."""
last_date = pd.to_datetime(comp_df['date']).max()
forecast_dates = pd.date_range(start=last_date + pd.DateOffset(months=1),
periods=forecast_months, freq='ME')
# Market shares via exponential smoothing
our_share_fc = _exponential_smoothing(comp_df['our_market_share'], alpha=0.35, forecast_periods=forecast_months)
comp_a_fc = _exponential_smoothing(comp_df['competitor_a_share'], alpha=0.35, forecast_periods=forecast_months)
comp_b_fc = _exponential_smoothing(comp_df['competitor_b_share'], alpha=0.35, forecast_periods=forecast_months)
comp_c_fc = 100 - our_share_fc - comp_a_fc - comp_b_fc
# Pricing forecast
our_price_fc = _moving_average_forecast(comp_df['our_avg_price'], window=4, forecast_periods=forecast_months)
market_price_fc = _moving_average_forecast(comp_df['market_avg_price'], window=4, forecast_periods=forecast_months)
# Net subscriber adds
net_adds_fc = _seasonal_decompose_forecast(comp_df['net_subscriber_adds'], period=12, forecast_periods=forecast_months)
# Competitive churn
comp_churn_fc = _moving_average_forecast(comp_df['competitive_churn_pct'], window=4, forecast_periods=forecast_months)
# Pricing war risk assessment (based on price convergence)
price_gap = np.abs(our_price_fc - market_price_fc)
pricing_war_risk = np.clip(1 - price_gap / 10, 0, 1)
ci_width = np.linspace(0.02, 0.12, forecast_months)
result = {
'dates': [d.strftime('%Y-%m') for d in forecast_dates],
'market_shares': {
'ours': np.round(our_share_fc, 2).tolist(),
'competitor_a': np.round(comp_a_fc, 2).tolist(),
'competitor_b': np.round(comp_b_fc, 2).tolist(),
'competitor_c': np.round(np.maximum(comp_c_fc, 5), 2).tolist(),
},
'pricing': {
'our_price': np.round(our_price_fc, 2).tolist(),
'market_price': np.round(market_price_fc, 2).tolist(),
},
'net_adds': {
'forecast': np.round(net_adds_fc).astype(int).tolist(),
'upper': np.round(net_adds_fc * (1 + ci_width * 2)).astype(int).tolist(),
'lower': np.round(net_adds_fc * (1 - ci_width * 2)).astype(int).tolist(),
},
'competitive_churn': {
'forecast': np.round(np.maximum(comp_churn_fc, 0.3), 2).tolist(),
},
'pricing_war_risk': np.round(pricing_war_risk * 100, 1).tolist(),
}
# Historical
hist = comp_df.tail(12)
result['historical'] = {
'dates': [pd.to_datetime(d).strftime('%Y-%m') for d in hist['date']],
'our_share': hist['our_market_share'].round(2).tolist(),
'competitor_a': hist['competitor_a_share'].round(2).tolist(),
'competitor_b': hist['competitor_b_share'].round(2).tolist(),
'competitor_c': hist['competitor_c_share'].round(2).tolist(),
'our_price': hist['our_avg_price'].round(2).tolist(),
'market_price': hist['market_avg_price'].round(2).tolist(),
'net_adds': hist['net_subscriber_adds'].tolist(),
}
return result
def forecast_economic_impact(econ_df, forecast_months=12):
"""Forecast economic impact on telecom behavior."""
last_date = pd.to_datetime(econ_df['date']).max()
forecast_dates = pd.date_range(start=last_date + pd.DateOffset(months=1),
periods=forecast_months, freq='ME')
# GDP growth
gdp_fc = _exponential_smoothing(econ_df['gdp_growth_rate'], alpha=0.3, forecast_periods=forecast_months)
# Consumer confidence
cci_fc = _exponential_smoothing(econ_df['consumer_confidence_index'], alpha=0.3, forecast_periods=forecast_months)
# Unemployment
unemp_fc = _exponential_smoothing(econ_df['unemployment_rate'], alpha=0.25, forecast_periods=forecast_months)
# ARPU index
arpu_fc = _exponential_smoothing(econ_df['arpu_index'], alpha=0.35, forecast_periods=forecast_months)
# Downgrade rate
downgrade_fc = _moving_average_forecast(econ_df['plan_downgrade_rate'], window=4, forecast_periods=forecast_months)
# Delinquency
delinquency_fc = _moving_average_forecast(econ_df['payment_delinquency_rate'], window=4, forecast_periods=forecast_months)
# Revenue at risk
risk_fc = _exponential_smoothing(econ_df['revenue_at_risk_millions'], alpha=0.3, forecast_periods=forecast_months)
# Sentiment
sentiment_fc = _exponential_smoothing(econ_df['customer_sentiment_index'], alpha=0.3, forecast_periods=forecast_months)
# Recession probability (simple heuristic)
recession_prob = np.clip((1.5 - gdp_fc) / 2.0 * 100, 0, 95)
ci_width = np.linspace(0.03, 0.18, forecast_months)
result = {
'dates': [d.strftime('%Y-%m') for d in forecast_dates],
'gdp_growth': {
'forecast': np.round(gdp_fc, 2).tolist(),
'upper': np.round(gdp_fc + ci_width * 3, 2).tolist(),
'lower': np.round(gdp_fc - ci_width * 3, 2).tolist(),
},
'consumer_confidence': {
'forecast': np.round(np.clip(cci_fc, 20, 100), 1).tolist(),
},
'unemployment': {
'forecast': np.round(np.clip(unemp_fc, 2, 12), 1).tolist(),
},
'arpu_index': {
'forecast': np.round(arpu_fc, 1).tolist(),
},
'downgrade_rate': {
'forecast': np.round(np.maximum(downgrade_fc, 0.5), 2).tolist(),
},
'delinquency_rate': {
'forecast': np.round(np.maximum(delinquency_fc, 0.5), 2).tolist(),
},
'revenue_at_risk': {
'forecast': np.round(np.maximum(risk_fc, 0.5), 2).tolist(),
'upper': np.round(np.maximum(risk_fc, 0.5) * (1 + ci_width), 2).tolist(),
'lower': np.round(np.maximum(risk_fc, 0.5) * (1 - ci_width), 2).tolist(),
},
'sentiment_index': {
'forecast': np.round(np.clip(sentiment_fc, 10, 100), 1).tolist(),
},
'recession_probability': np.round(recession_prob, 1).tolist(),
}
# Historical
hist = econ_df.tail(12)
result['historical'] = {
'dates': [pd.to_datetime(d).strftime('%Y-%m') for d in hist['date']],
'gdp_growth': hist['gdp_growth_rate'].round(2).tolist(),
'consumer_confidence': hist['consumer_confidence_index'].round(1).tolist(),
'unemployment': hist['unemployment_rate'].round(1).tolist(),
'arpu_index': hist['arpu_index'].round(1).tolist(),
'revenue_at_risk': hist['revenue_at_risk_millions'].round(2).tolist(),
'sentiment_index': hist['customer_sentiment_index'].round(1).tolist(),
}
return result
def get_forecast_summary(seasonal_fc, tech_fc, comp_fc, econ_fc):
"""Generate a high-level summary of all forecasts for KPI cards."""
summary = {}
# Seasonal
usage_trend = seasonal_fc['data_usage']['forecast']
summary['data_usage_next_month'] = usage_trend[0]
summary['data_usage_growth'] = round((usage_trend[-1] - usage_trend[0]) / usage_trend[0] * 100, 1)
summary['peak_network_load'] = max(seasonal_fc['network_load']['forecast'])
# Tech
five_g = tech_fc['five_g_adoption']['forecast']
summary['five_g_current'] = tech_fc['historical']['five_g_adoption'][-1]
summary['five_g_forecast_end'] = five_g[-1]
summary['five_g_growth'] = round(five_g[-1] - tech_fc['historical']['five_g_adoption'][-1], 1)
# Competitive
summary['market_share_current'] = comp_fc['historical']['our_share'][-1]
summary['market_share_forecast'] = comp_fc['market_shares']['ours'][-1]
summary['avg_pricing_war_risk'] = round(np.mean(comp_fc['pricing_war_risk']), 1)
# Economic
summary['recession_probability'] = econ_fc['recession_probability'][0]
summary['revenue_at_risk'] = econ_fc['revenue_at_risk']['forecast'][0]
summary['sentiment_forecast'] = econ_fc['sentiment_index']['forecast'][0]
return summary
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