SARIMA time series forecasting of electricity distribution in Nigeria — BSc Statistics dissertation
# Time Series Analysis of Electricity Distribution in Nigeria
## Overview
This project applies time series forecasting to electricity distribution
data in Nigeria, using the Box-Jenkins methodology to build a Seasonal
ARIMA model capable of predicting future distribution patterns. The model
was developed as a final year dissertation in Statistics at the Federal
University of Agriculture, Abeokuta (FUNAAB).
Electricity distribution in Nigeria is notoriously volatile — supply
shortages, seasonal demand shifts, and infrastructure constraints all
make it difficult to plan around. This project explores whether a
statistical model can bring some predictability to that volatility.
## Methodology
The analysis followed the **Box-Jenkins methodology**, a structured
approach to time series modeling with three main stages:
1. **Identification** — analyzing 120 monthly observations to determine
the appropriate model structure, including tests for stationarity
and seasonality
2. **Estimation** — fitting a **SARIMA(2,1,1)(2,0,0)[12]** model
(Seasonal Autoregressive Integrated Moving Average) to the data
3. **Diagnostic checking** — validating the model through residual
analysis to confirm it captures the underlying patterns without
leaving unexplained structure behind
The model was then used to generate a **60-month forecast**, projecting
electricity distribution trends five years into the future.
**Tools used:** R (time series analysis, model fitting, forecasting)
## Key Findings
- Nigeria's electricity distribution showed a statistically significant
upward trend from 2015–2024, alongside a strong, stable seasonal
pattern — supply consistently peaks in December/January and dips in
February/May.
- The best-fit model, SARIMA(2,1,1)(2,0,0)[12], outperformed a naive
seasonal forecast by 52% (MASE = 0.48) with a MAPE of 4.87% — placing
it in the "good accuracy" range for time series forecasting.
- The 5-year forecast (2025–2029) projects distribution stabilizing at
~1,956–1,968 …