1. Introduction
Stored-product insects remain a major challenge in postharvest systems because they cause quantitative losses, reduce the quality of the commodity, contaminate products, and increase management costs. Their economic importance has been emphasized repeatedly in the stored-product protection literature, and the continuing need for improved management is also reflected in the widespread use of chemical and non-chemical control tactics [
1,
2,
3]. In commercial food and feed environments, pest management depends heavily on reliable monitoring. Trap-based surveillance is widely used in processing plants, storage facilities, and grain handling systems to detect pest presence, identify spatial hotspots, and follow seasonal changes in abundance [
4,
5,
6,
7,
8]. These studies show that trap records can capture both persistent infestation patterns and strong temporal variation, making them valuable for operational monitoring. However, in many facilities, trap data are still used mainly descriptively rather than analytically, despite their potential to support predictive decision-making [
4,
8,
9].
Temperature is one of the most important environmental drivers of stored-product insect activity and population change, particularly as warming trends shift the risk and distribution of pests in processing facilities [
10]. Thermal conditions affect development, movement, reproduction, and trap capture probability across a wide range of storage-related taxa [
11,
12,
13]. In particular, lower temperatures suppress activity and development, whereas warmer conditions promote increased movement and faster population growth [
11]. Jian [
13] highlighted that flight activity across many stored-product insects is strongly limited at lower temperatures, while Stejskal et al. [
12] reviewed lower developmental and activity thresholds across 121 pest species. Fields [
11] also showed that the thermal environment is central to the biology and control of stored-product insects. All these findings support the use of recent temperature as a biologically meaningful predictor in operational population models based on trap catches.
At the same time, observed trap dynamics are shaped not only by pest biology but also by management actions. Insecticide applications, sanitation, and other interventions can suppress pest pressure, although their practical outcome depends on timing, coverage, persistence, and the possibility of reinfestation [
1,
2,
3]. Therefore, a useful applied model should ideally account for both the environmental conditions that favor insect activity and the management actions intended to reduce it. A framework that combines routine trap counts with recent temperature and intervention history may thus provide a realistic basis for forecasting short-term pest pressure under alternative control schedules.
The use of models for decision support in stored-product protection is not new, but most established systems have focused on grain storage conditions, insect density, and risk forecasting in elevator-scale settings. A notable example is Stored Grain Advisor Pro, which was developed as a decision-support system for insect management in commercial grain elevators and used current insect density together with grain temperature and moisture to estimate future risk [
14]. Similarly, another work by Flinn et al. [
15] further demonstrated that insect population dynamics in commercial grain elevators can be modeled and used to improve pest-management planning. These studies provide an important precedent for linking monitoring data to operational decisions, but comparable predictive approaches are less commonly reported for facility-level trap-monitoring datasets from food or feed environments.
From a statistical standpoint, trap-monitoring data are typically count data and are often overdispersed, meaning that the variance exceeds the mean. This is common in insect datasets because captures tend to be aggregated in time and space. Therefore, negative binomial models are especially suitable in this context, as suggested by Buchelos and Athanassiou [
16], Sileshi [
17] and Elmouttie et al. [
18]. Specifically, Elmouttie et al. [
18] showed that negative binomial-type formulations described stored-product insect distributions well in sampling contexts, while broader entomological work has emphasized the importance of selecting count-data models that properly handle overdispersion [
17]. These characteristics make negative binomial regression a logical and interpretable framework for modeling routine trap-count series.
Recent studies have also emphasized that improving stored-product pest management increasingly depends on integrating monitoring, modeling, and decision-support tools into practical workflows [
3]. In parallel, recent work has continued to refine the analytical value of trap networks and predictive monitoring systems in insect management settings, reinforcing the view that monitoring records can be more than descriptive logs if they are linked to explicit forecasting or scenario analysis [
3,
19].
The present study builds on this perspective by extending a previously published monitoring dataset from a feed manufacturing facility in Greece into a predictive modeling framework [
8]. While the original study documented insect diversity and seasonal dynamics within the facility, the present work asks whether the same routine biweekly trap records can support a facility-level population dynamics model with practical decision-support value. Specifically, the objectives of this study were: (i) to determine whether biweekly insect trap counts can be modeled as a function of recent temperature and the number of insecticidal spraying applications within each monitoring interval; (ii) to evaluate the suitability of a discrete negative binomial framework for describing the temporal dynamics of the trap-count series; and (iii) to use the fitted model to compare alternative temperature-triggered spray schedules as a basis for pest-management planning. By framing the analysis as a facility-level case study, the aim was not to develop a fully mechanistic species-specific model but rather to assess whether routine monitoring data can be transformed into a practical predictive tool for operational decision support.
4. Discussion
The present study showed that routine biweekly insect trap records can be used to construct a practical, facility-level population dynamics model for stored-product pest management. The fitted discrete negative binomial model identified a strong positive association between recent temperature and expected insect counts, together with a significant negative association between the number of spraying applications and expected counts. In addition, the estimated dispersion parameter was clearly positive, supporting the choice of a negative binomial framework for these overdispersed count data. Taken together, these findings indicate that routinely collected monitoring data can provide more than descriptive information and can be transformed into an operational decision-support tool.
A central finding of the study was the strong temperature dependence of the modeled insect counts. This is biologically consistent with the broader stored-product literature, according to Fields [
11], Stejskal et al. [
12], and Jian [
13], all of whom emphasized that temperature strongly influences development, movement, trap capture, and overall activity of stored-product pests. In practical terms, this means that the fitted positive coefficient for recent temperature is not merely a statistical artifact but is aligned with established biological expectations: warmer recent conditions are expected to increase pest activity and, consequently, trap captures. The fact that the present model detected this relationship at the facility level suggests that even a relatively simple thermal predictor, such as the 14-day mean temperature, can capture an important component of short-term pest pressure.
It is important to acknowledge that although this model successfully uses mean 14-day temperature as a primary driver for facility-level population dynamics, it reflects an aggregate of the entire pest complex present. Aggregate models provide a broad facility-level overview; however, they encompass a diverse range of species, each with its own discrete thermal thresholds for development and movement [
11,
21]. Consequently, even if the aggregate model captures the general trend of increased activity during warmer periods, individual species may react differently to these thermal thresholds [
22,
23]. For instance, more cold-tolerant species may persist at temperatures where others become inactive, potentially leading to shifts in community composition that a facility-level model might not explicitly detail [
8]. Future refinements could involve applying this negative binomial framework to species-specific counts to provide more granular decision support for targeted pest management.
In the specific context of this facility, the insect complex was characterized by several dominant species, including the red flour beetle,
Tribolium castaneum (Herbst) (Coleoptera: Tenebrionidae), the confused flour beetle,
Tribolium confusum Jacquelin du Val (Coleoptera: Tenebrionidae), the sawtoothed grain beetle,
Oryzaephilus surinamensis (L.) (Coleoptera: Silvanidae),
Sitophilus granarius (L.) (Coleoptera: Curculionidae), the cigarette beetle
, Lasioderma serricorne (F.) (Coleoptera: Anobiidae), and various Lepidoptera adults, which collectively accounted for more than 85% of all captures [
8]. The 17 °C trigger used in the standard threshold policy is highly representative of this assemblage, as it aligns with the lower developmental and activity thresholds of these key taxa [
12]. While thermophilic species such as
T. castaneum and
L. serricorne typically require temperatures near or above 20 °C for significant population growth, more temperate-adapted species like
S. granarius and
O. surinamensis can remain active and continue development at temperatures as low as 15–17 °C [
11,
12]. Furthermore, the flight activity of Lepidoptera is strongly constrained below 16–18 °C [
13]. Thus, the aggregate 17 °C threshold effectively captures the biological ‘tipping point’ for the majority of the pest pressure in the facility, even though specific taxa vary slightly in their individual thermal responses [
8].
The negative association between spraying applications and insect counts is also consistent with the intended direction of control, but it should be interpreted carefully. In the present analysis, additional spraying applications within a monitoring interval were associated with lower expected counts, which supports the practical value of including intervention history in a predictive model. However, this does not by itself establish a fully causal treatment effect. As noted in the literature, the practical effect of insecticide interventions depends on timing, coverage, persistence, and reinfestation pressure, as suggested by Phillips and Throne [
1] and Boyer et al. [
2]. Thus, the estimated spray effect in the present model should be interpreted as a management-linked association within the observed operating conditions of the facility, rather than as a universal treatment-response coefficient.
An important methodological result was the suitability of the negative binomial model itself. Stored-product trap data are commonly aggregated and variable, and they are often overdispersed because captures fluctuate sharply between time periods and may be clustered in both time and space. This has been recognized in both stored-product and broader entomological modeling literature, and related count-modeling work [
18]. The present dataset showed the same behavior, and the positive estimated dispersion parameter confirms that a Poisson formulation would have been less appropriate. In this respect, the modeling approach used here is not only statistically justified but also consistent with previous work showing that negative binomial-type models perform well in stored-product insect sampling contexts.
From an applied standpoint, one of the most informative results was the comparison between the observed historical spray schedule and the two temperature-triggered scenarios. The standard threshold policy produced outcomes that were very similar to those of the observed schedule, with slightly fewer total applications but nearly identical total predicted insect counts. This suggests that the historical timing of spray interventions was already broadly aligned with a biologically plausible temperature-triggered rule. In practical terms, this is a useful finding: it indicates that the current operational logic may already reflect the broad seasonal structure of pest risk in the facility. Therefore, the similarity between these two schedules should not be interpreted as model failure, but rather as evidence that the observed practice and the standard temperature-triggered policy are functionally close under the conditions studied.
By contrast, the preventive intensified policy produced a substantial reduction in predicted insect counts, but only at the cost of a markedly higher number of spray applications. This result highlights the contribution of the model: it quantifies the trade-off between intervention burden and expected pest suppression. Such trade-offs are central to practical pest management, yet they are often not expressed quantitatively in routine monitoring workflows. The ability to compare alternative schedules in terms of both predicted pest pressure and required intervention effort is closely aligned with the broader purpose of decision-support systems in stored-product protection [
14], which described Stored Grain Advisor Pro as a tool for translating monitoring and environmental information into management advice. Although the present model is much simpler and facility-specific, it serves a comparable role by converting trap and temperature data into operationally interpretable scenarios.
The scenario results also suggest a broader interpretation regarding the role of treatment timing versus treatment intensity. Because the standard threshold policy is tied to the observed schedule, changing the timing rule alone may not produce major gains in this facility. In contrast, the preventive intensified policy reduced expected counts only when intervention intensity increased substantially. This implies that, under the modeled conditions, further improvements may depend less on refining the trigger logic and more on either increasing intervention intensity or improving the effectiveness of the existing applications. In operational terms, this could involve not only more frequent spraying but also better targeting, improved coverage, or integration with complementary control measures. This interpretation is compatible with the broader stored-product management literature, which emphasizes that successful control depends on a combination of monitoring, intervention quality, and facility-specific implementation [
1,
3].
At the same time, the intensified scenario should be interpreted cautiously because it included a three-application category in the warmest intervals, which extended beyond the most common historical intervention intensity in the dataset. This means that part of that scenario represents an extrapolative exercise rather than a condition strongly represented in the observed data. For this reason, the intensified policy is best viewed as an exploratory planning scenario rather than a directly validated operating schedule. Nevertheless, exploratory scenarios remain useful in decision-support contexts because they allow managers to estimate the likely direction and approximate magnitude of change under more aggressive control assumptions. This use of scenario analysis is consistent with the logic of practical forecasting systems, which often aim to compare options rather than to claim exact prediction under every hypothetical condition.
The present study has several limitations that should be acknowledged. First, the model was developed for a single facility, and the results should be interpreted as site-specific rather than universally generalizable. Second, the response variable was based on aggregated total insect counts rather than species-specific populations for the present management-oriented objective, but different taxa may respond differently to temperature and control measures. Third, the temperature predictor reflected recent external thermal conditions rather than detailed internal microclimatic measurements from all operational zones of the facility. This reliance on ambient weather data introduces a potential ‘thermal lag’ or insulation effect, as the building’s physical structure likely buffered external temperature extremes in an environment where conditions were not artificially regulated [
8]. External records successfully captured the broad seasonal trends that drove the aggregate model; however, internal temperatures in large manufacturing environments are often influenced by structural insulation and localized heat sources, which can create complex variations in insect movement and population dynamics [
13,
24]. The omission of these localized indoor thermal dynamics may explain why the model did not fully reproduce every sharp peak in the observed trap captures. Future research utilizing indoor data-loggers could refine the model by accounting for the specific microclimates within different production and storage zones [
24]. Finally, although the model captured the broad temporal structure well, it did not reproduce every sharp peak in the observed series, indicating that additional unmeasured factors, such as localized infestation sources, sanitation variation, or short-term operational changes, may also influence trap captures. These limitations are not unusual in applied facility-level studies and should be viewed as opportunities for further refinement rather than as weaknesses that invalidate the overall decision-support value of the approach.
Despite these limitations, the study demonstrates a useful practical principle: routine monitoring data can be converted into a simple predictive framework that helps translate observed insect activity into management decisions. This is an important extension beyond descriptive surveillance. The present model does not attempt to replace detailed ecological or mechanistic approaches, nor does it seek to provide universally transferable thresholds. Instead, it shows that even a relatively simple, facility-level model based on trap counts, recent temperature, and intervention history can support structured pest-management planning. In this sense, the work contributes to the growing emphasis on integrating monitoring and modeling into stored-product pest management practice [
3,
14].