Submitted:
11 January 2026
Posted:
12 January 2026
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Abstract
Keywords:
1. Introduction
- Necessity of modeling holiday impact: What kind of holidays need to be explicitly modeled, and what kind of holidays do not need to be modeled if some other calendar-related features are already available?
- Inter-temporal Structure: How can we better capture the dynamics of demand during the phases surrounding a holiday, including the buildup before and the decline afterward? This question aims to identify effective strategies for modeling the time-wise heterogeneity of a single holiday’s impact.
- Cross-sectional heterogeneity: How can we better account for differences in the impact of a single holiday across multiple products or categories? This question highlights the cross-sectional variation in holiday effects. Taken together, the first two questions focus on modeling the heterogeneity of holiday impacts—one along the inter-temporal dimension and the other across products.
- Clustering of holidays: How can we effectively group or differentiate holidays based on their demand effects? Unlike the first two questions, which center on a single holiday, this question addresses how previous literature integrates multiple holidays—whether they should be unified into clusters or treated as distinct events.
- Integration of holiday and non-holiday data: How can holiday and non-holiday data be combined most effectively in forecasting models? Compared to the previous four topics, this topic goes beyond the holiday featuring and discusses how the combination of holiday and non-holiday data can reach a good prediction accuracy for the demand during the holiday. Traditional approaches often train a single model on all available data, but this can reduce accuracy due to the imbalance between holiday and non-holiday observations. Thus, it is essential to review how prior studies have structured these two data sources in complementary ways.
2. Research Method and Summary Statistics
2.1. Industry Distribution of Studies
2.2. Geographic Distribution of Studies
2.3. Methodological Distribution of Studies
3. Choosing the Holiday Events to Model
- Weekday holidays: The second group contains the so-called weekday public holidays. These holidays are not fixed in their date, but in the weekday of their occurrence. The date of occurrence of the public holiday can thus vary from year to year, but usually falls on a similar date. In many European countries, several Christian public holiday days, such as Easter or Ascension, belong to this group. In countries like the US or the UK, some bank holidays fall into this category as well. For instance, in the UK, the Spring Bank holiday is always on the last Monday of May. [7], by analyzing the electric demand of some weekday holiday in Germany, reveals that even though the historical date of these holidays varies, the impact seems to be quite stable over the years.e implication of this is that, if the cyclical profile of demand is table, we can just put the seasonal pattern feature into the model, without creating extra features indicating such weekday holidays.
- Fixed date holidays: They are those that always occur on the fixed day each year. Typical examples are New Year’s Day, which is always on 1 January, and also Christmas Day, which is celebrated in many African, American, and European countries on 25 December. Many national holidays (such as Independence Day in the US) belong to this group. The impact of such a holiday on demand highly depends on the day of the week it is. For example, [7], by analyzing the electric demand of fixed-date holiday in Germany, found that if fixed date holidays fall on a Sunday, there is no (distinct) impact observable, whereas the impact is significant for the other days. One implication for this observation is that it is usually necessary to model such holidays,
- For instance, if a day is a holiday and also a weekend, then (without other promotional factors), its sales should be similar to those of a typical weekend day. If a day is a holiday and a weekday, the sales of this day should be higher than the same non-holiday weekday. [8]
- Moreover, the weekday placement of a holiday can influence not only the sales on the holiday itself, but also adjacent days. When a holiday occurs on a Friday falls on a Friday or Monday, it creates a three-day weekend, which typically stimulates elevated consumer activity. ([9])
4. Modeling Inter-Temporal Change in Holiday Impact
4.1. Categorization of Inter-Temporal Structure
4.2. Quantitative Depicting the Proximity
5. Modeling Cross-Section Heterogeneity of Holiday Impact
- The magnitude and direction of holiday effects vary significantly across product categories, depending on consumption habits, perishability, cultural symbolism, and gifting traditions. Products like flowers, chocolate, alcohol, and baked goods consistently exhibit strong uplifts near holidays such as Valentine’s Day, Christmas, and Thanksgiving. For instance, Hirche et al. [26] show that alcoholic beverages in the U.S. experience spikes around New Year’s Eve and Memorial Day, especially for spirits and beer. Similarly, the Instacart holiday trend report highlights sharp increases in baking supplies, dairy, and turkeys in the week before Thanksgiving and Christmas [13]. Fashion and apparel categories also tend to exhibit strong holiday sensitivity, particularly in the lead-up to gifting occasions such as Christmas and Mother’s Day. On the other hand, household staples like cleaning supplies, batteries, and non-seasonal over-the-counter medications show relatively stable demand across holidays, with only minor deviations. Furthermore, Ehrenthal et al. [12] note that perishables (e.g., fresh produce in grocery contexts) require unique inventory planning. Conversely, large durable goods (e.g., mattresses, appliances) may exhibit holiday-season spikes only during discount-focused holidays such as Labor Day or Black Friday, rather than culturally significant celebrations.
- In many cases, people purchase a lot on holiday not because of the holiday itself, but simply because there are discounts and promotions on retail products. One obvious example is Black Friday, the day when retailers offer significant discounts on a broad range of products. Another example is Double Eleven in China, which originally celebrated being single and is now a major sales event. People make many purchases on this day not because it is a special day, but because of the discounts and promotions available. Instead of using holiday information, it would be more straightforward to use promotion/sales event-related information as feature variables directly.
- Interaction terms: A straightforward method is to introduce cross-terms (interaction effects) between holiday indicators and other relevant covariates, such as product categories, price levels, or store formats, which is the typical practice in statistics ([27]). This approach is attractive due to its simplicity and interpretability—coefficients directly indicate how the holiday effect changes with each covariate. However, in high-dimensional settings with many potential covariates, this method can quickly lead to a combinatorial explosion of parameters, increasing the risk of overfitting, especially when holiday data are sparse. Therefore, studying how to model the heterogeneity of holiday events while avoiding the high dimension curse is an interesting direction for future research. However, the literature lacks a thorough discussion on the best strategy for creating such historical uplift information.
- Hierarchical Bayesian Model/Multi-task learning: One option is to estimate separate models for each product, category, or store, but impose a prior that links their holiday-related coefficients—such as a Dirichlet process or hierarchical Bayesian structure—so that parameter estimates borrow strength across similar series while retaining flexibility for heterogeneity. Another modern alternative is Multi-Task Learning (MTL), where each product or store is treated as a separate task. By sharing latent representations in neural networks or kernel-based models, MTL may allow the model to learn both global patterns (common to all products) and task-specific adjustments (unique holiday responses), often yielding better generalization for low-sample-size holidays. There are some papers on applying multi-task learning to demand forecasting (e.g., [28,29]), but few have paid particular attention to the model learning, especially for holidays. In general, however, there is no literature that tries to do such a hierarchical Bayesian model or multi-task learning methods. Therefore, this is a promising and interesting direction for future research.
6. Clustering of Holiday Events
- Knowledge-based clustering: This approach classifies holidays based on domain or cultural knowledge, drawing on predefined categories such as national holidays, religious observances, cultural festivals, and commercial events. This taxonomy reflects the intuition that holidays with similar socio-cultural origins tend to influence purchasing behavior similarly. The advantage of this knowledge-driven classification is interpretability and transferability across markets; however, it may also oversimplify the heterogeneity that exists within a category.
- Data-driven clustering of holidays: This approach clusters holidays based on observed demand profiles. Here, historical sales trajectories before, during, and after each holiday are extracted and compared, and holidays with similar sales dynamics are classified into the same group. Most available studies still rely on straightforward methods such as visualization/eyeball inspection. One promising future research direction is to apply more advanced unsupervised learning methods to group holidays exhibiting similar inter-temporal demand patterns ([31]).
- Bayesian Hierarchical Approach: This approach differs fundamentally from both the knowledge-based and the data-driven clustering methods: holidays are modeled individually, but their coefficients are assumed to come from a shared statistical distribution. This is common in hierarchical or Bayesian frameworks, where holiday-specific effects are treated as random effects drawn from a common prior distribution. Such partial pooling allows information sharing across holidays, improving estimation accuracy when data for a particular holiday is sparse, while still allowing for heterogeneity in effects. This approach provides a principled compromise between over-pooling (treating all holidays the same) and no pooling (estimating each holiday completely separately), but requires careful prior specification and can be computationally more intensive. So far, there is very limited literature that has applied such an approach in modeling the impact of multiple holidays. To our best knowledge, [22] is the only paper that did such a discussion. Therefore, this is still a new direction for the future.
7. Integration of Holiday and Non-Holiday Data
- Utilize only holiday data: This approach allows a model to specialize in the distinct demand dynamics of its respective period, avoiding the dilution or distortion that can occur when attempting to fit a single model to both regimes. Using only holiday data in modeling can reduce the noise from the non-holiday data, but it also has the risk of overfitting due to a significantly small sample size. Also, it includes much information from the non-holiday data that may still be useful for predicting holiday demand. One more flexible way of modeling this is to let the model adaptively learn the weight of holiday and non-holiday data during– i.e., let the model determine the best sample weight allocation during the training process ([43]).
- Model the residual/uplift: In this method, the baseline model is first applied to holiday periods to generate predictions. The difference between observed holiday sales and these baseline forecasts (i.e., the residual or uplift) is then modeled separately. The uplift model typically uses holiday-related features—such as holiday identity, proximity variables, and temperature effects—as predictors. This approach, by using non-holiday data and holiday data separately, avoided the non-holiday data from affecting the model training using holiday data, but also organically utilized the information in non-holiday data that may be helpful for prediction on holiday demand.
8. A Unified Decision Flow for Modeling Holiday Effects in Demand Forecasting
9. Implications for Retail and Marketing Research
10. Conclusion and Future Directions
- 1.
- The first step of modeling holiday effect in demand forecast is to understand the type of the holiday, i.e., weekday type, or fixed-date type. For the former one, calendar seasonality alone is sufficient to depict the holiday impact. For the latter case, a feature that denotes the holiday event is usually needed. Also, in this case, features indicating the day of the week are often needed to distinguish the holiday’s impact across different days of the week. A more detailed discussion on how to add such a useful day-of-week feature is a possible future research direction.
- 2.
- When depicting the inter-temporal structure of a holiday’s impact, i.e., the impact of a holiday’s on demand before, during, and after it occurs, a substantial portion of the literature still models the holiday effect using coarse categorical indicators—such as simple binary or trinary variables denoting “before,” “during,” and “after” holiday phases. More discussion on the length of time window that defines such phases, and more quantitative and flexible representations—such as continuous decay functions, spline-based effects, or learned inter-temporal profiles—are needed.
- 3.
- When modeling the heterogeneity of the impact of a holiday across products/ and sectors, relatively few attempt to model this heterogeneity in a systematic way. A more sophisticated way of introducing an interaction term, a more detailed discussion on creating effective features that capture historical uplift, and the exploration of the potential of hierarchical models and multi-task learning are important frontiers for improving holiday demand forecasting.
- 4.
- Grouping holidays based on their demand impact is a potentially powerful tool for reducing model complexity and improving generalization. Most existing studies rely on knowledge-based or data-driven clustering methods based solely on eye inspection. There is a clear need for applying a more sophisticated clustering approach that learn holiday groupings from demand profiles. Meanwhile, utilizing a Bayesian approach, such as the Dirichlet process mixture model, is a promising future research direction.
- 5.
- Currently, when dealing with the integration of holiday and non-holiday data, some literature chooses to model holiday effect using holiday data only, while other develop a baseline model using non-holiday data and combine the model with holiday data to produce holiday predictions. An advanced approach to learning the optimal sample weighting scheme during model training will be a promising direction for future research.
- 6.
- A substantial proportion of the papers reviewed are in the energy demand domain, e.g., demand for electricity, gas, etc. The application of holiday impact modeling methods in this domain to retail demand prediction for boosting accuracy during the holiday season remains undeveloped.
Funding
Data Availability Statement
Conflicts of Interest
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| Domain | Year Range | Number of Papers |
|---|---|---|
| Retail | 2009–2025 | 22 |
| Energy (electricity, gas) | 2000–2023 | 23 |
| Other | 2010–2025 | 1 |
| Total | 2000–2025 | 46 |
| Country / Region | Number of Papers |
|---|---|
| United States | 13 |
| East Europe | 4 |
| West Europe | 10 |
| United Kingdom | 2 |
| China | 7 |
| South America | 2 |
| Autralia | 2 |
| East Asia/Southern East Asia | 4 |
| Multiple Countries | 2 |
| Total | 46* |
| Methodological Approach | Number of Papers |
|---|---|
| Statistical models only | 14 |
| Machine learning / neural networks | 25 |
| Descriptive methods | 7 |
| Total | 46* |
| Country | Paper/Report | Details/Conclusion |
|---|---|---|
| China | [11] | Demonstrated that cigarette sales in China increase sharply before Lunar New Year and then decline significantly |
| German | [12] | Reported that in German grocery retail, perishables exhibit strong demand surges just ahead of public holidays, followed by a drop in the days afterward |
| The United States | [13,14] | Major order volumes spike in the week before Thanksgiving and Christmas, with item-level sales increases of up to 40% compared to baseline weeks |
| The United States | [15] | Found that in the weeks leading up to Thanksgiving, on-shelf availability for grocery items declined due to stockouts driven by surge demand, highlighting the degree of pre-holiday stocking behavior. |
| Paper | Details/Conclusion |
|---|---|
| [8] | Classified the date as one of the following categories: where special days exist, special day exists one day before, special day exists one day later, special day exists same day of the previous week |
| [11] | Captured anticipatory demand (e.g., fresh food purchases leading into Thanksgiving) and post-event slumps (e.g., returns in electronics post-Christmas) |
| [16] | Created date code, based on the (non)working day information in the previous period, in the current period, and in the following period |
| [17] | Special Days (holidays), Proximity Days (before and after special day, Mondays before special days, and Fridays after special ), Non-special Days(normal weekdays and weekends) |
| [18] | Holiday regressors are constructed by first determining the calendar dates for the actual holiday, say with day index t, and declaring a window of times for which the activity is increased or decreased |
| [19] | Identify a total of 15 day types, including weekdays, days before and after public holidays, and bridge days. |
| [20] | To encapsulate the potential impact of major events such as Christmas or Black Friday, the paper introduces indicators: one week before Christmas, two weeks before Christmas, and one week after Christmas, Black Week, black weekend, and after Cyber Week (one week after Cyber Monday. |
| [21] | Created feature variable to indicate if the week is before a certain holiday |
| Paper | Details/Conclusion |
|---|---|
| [22] | by using decay expression, modeled the probability of transition into the pre-holiday state, as well as the probability of transition out from the post-holiday state. |
| [23] | Considering the load drop due to the proximity of the forecast day, the work applied a special rule by adding a distance variable of a specific day from Sunday or a holiday day. |
| [24] | Counter for a public in the impact of a single holiday event, i.e., the time-dimension heterogeneity of holiday-event as well as Valentine’s and Mother’s Day |
| [25] | Considered the day of the week indicator for |d| days before each public holidays, with |
| Method | Paper | Details |
|---|---|---|
| Knowledge-based clustering | [32] | Holidays are classified as bank holiday (when banks are closed, typically in observance of a federal or local holiday), Christmas, Easter. |
| Knowledge-based clustering | [33] | There are two classes of holidays, common holidays and special holidays. Common holidays include some national holidays and all regional and local holidays. |
| Knowledge-based clustering | [34] | Considered State Holiday(public holiday, Easter holiday, Christmas) and School Holiday (indicates if the event was affected by the closure of public schools, which vary from state to state). |
| Knowledge-based clustering | [35] | The holidays are classified into four categories, such as regular holidays, festivals, upper Austrian holidays (except German holidays), and school vacations. |
| Knowledge-based clustering | [36] | The dummy variables describe days falling in the summer and Christmas periods (excluding feast days and weekends). Eleven feast days (New Year’s Day, Carnival, Easter Day, 2nd Easter Day, Ascension Day, Queen’s Day, Whit Sunday, Whit Monday, Christmas Day, Boxing Day, and New Year’s Eve). |
| Knowledge-based clustering | [37] | Events feature accounts for 31 distinct special days, such as holidays and other significant events, categorized into four classes: Sporting, Cultural, National, and Religious. Including these variables helps the models account for spikes or drops in sales associated with specific events. |
| Data-driven clustering | [38] | by analyzing demand profiles, national holidays are classified into statutory days, bridging days, and days preceding and following holidays, which are called proximity days |
| Data-driven clustering | [39] | By analyzing the historical dataset, divided dates into three categories: weekends and public holidays (marked with 1), Black Fridays (marked with 2), and ordinary days (marked with 0). |
| Data-driven clustering | [40] | Public holidays are treated as Sundays, based on their similar historical electricity load profile. |
| Data-driven clustering | [41] | Based on load profile data, developed a deep classification of the special days to improve forecasting accuracy, |
| Data-driven clustering | [42] | Proposes clustering special days according to their load pattern. The cluster information and the average load of reference days are fed into an ANN. |
| Information sharing across holiday effect | [22] | When setting prior distribution, the paper allows positive correlation between the parameters that describe the effects of each type of public holiday so that information can be pooled across types. |
| Method | Paper | Details/Conclusion |
|---|---|---|
| Utilizing only historical holiday data | [44] | Found the "close" holidays to the upcoming one in the historical data, with closeness criterion being the temperature at the peak load hour. Then, the peak load of the upcoming holiday is computed by a novel weighted interpolation function. |
| Utilizing only historical holiday data | [45] | Adjusted the load profiles of similar days to that of the target holiday, which is implemented by incorporating each factor-induced effect on the load. Specifically, a rule-based similar day selection module is constructed to select ’similar’ days. The peak load of the upcoming holiday is computed by a weighted interpolation function. |
| Utilizing only historical holiday data | [45] | Adjusted the load profiles of similar days to that of the target holiday, which is implemented by incorporating each factor-induced effect on the load. Specifically, a rule-based similar day selection module is constructed to select ’similar’ days. |
| Utilizing only historical holiday data | [46] | the working days and holidays are separately trained |
| Utilizing only historical holiday data | [47] | try to predict the electricity demand of the target holiday using only holiday data. On the one hand, during training, they select historical holidays whose load profiles are similar to the target holiday and use the average of these historical holiday profiles to predict the target holiday’s load profile. They also trained another model using only holiday data, which tries to capture the extreme demand value during these periods. The two models’ predictions are combined to produce a final prediction on the target holiday’s load |
| Model the residual/uplift | [48] | Applied a two-stage approach. During the first stage, holiday demand is forecast using the benchmark model, treating holidays as regular days. During the second stage, the average of the residuals is calculated by holiday and by hour. The averaged residual is then added by holiday and by hour to the stage-one load forecasts to yield the final two-stage forecast. |
| Model the residual/uplift | [49] | Applied a gradient boosting model to forecast baseline demand, and then used a separate linear regression to estimate holiday uplift multipliers. These multipliers are then applied to the base forecast only when holiday indicators are active. |
| Model the residual/uplift | [50] | Proposed a DUS(demand uplift state) algorithm that computes the average demand uplift for each possible case of special event state, and use it for demand forecast. |
| Model the residual/uplift | [21] | Applied a two-step approach: in the first stage, they forecast the seasonal sales cycle by fitting a regression model to a decomposed training set, which excludes promotional and holiday sales, and then extrapolate that model to a testing set. In the second stage, they integrate the resulting seasonal forecast into a multiplicative demand function that accounts for consumer stockpiling and captures promotional and holiday sales uplifts. |
| Method | Details |
|---|---|
| Deciding the holiday events to model | joint modeling of fixed-date holiday and day-of-week features. |
| Modeling Inter-Temporal Change in Holiday Impact |
|
| Modeling Cross-Section Heterogeneity of Holiday Impact |
|
| Clustering of Holiday Events |
|
| Integration of Holiday and Non-holiday Data | develop algorithms that adaptively learn the optimal sample weights for holiday and non-holiday data |
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