Exploring Linear and Nonlinear Effects of Spatial and Temporal Attention in the Human Brain
Attention is the spotlight of the mind—the subtle yet pivotal force that enables us to focus on what matters most. In the intricate theater of the brain, attention is split along two critical axes: spatial attention—the "where"—and temporal attention—the "when." Recent neuroscience research pushes our understanding forward, uncovering how these forms of attention interact, sometimes additively, sometimes in mysterious nonlinear ways, to sculpt our perception and decision-making.
The Essence of Attention: More Than Meets the Eye
Imagine a tennis player anticipating the direction of a serve, or a musician preparing for the exact moment to join the symphony. These examples bring to life two fundamental ways we channel our attention: by location (spatial) and by timing (temporal). Both are essential for navigating an unpredictable world.
Before delving into the latest findings, it’s helpful to understand how each form of attention traditionally operates. Spatial attention allows us to zoom in on specific areas of our visual field, enhancing the processing of stimuli at those locations. Temporal attention, on the other hand, gears us up for critical moments, heightening readiness and response speed at anticipated times.
For decades, researchers debated whether spatial and temporal attention act independently or work synergistically. Recent advances suggest a nuanced answer: the interaction is often both linear (simply additive) and nonlinear (not merely the sum of parts)—a dance that depends on task demands and cognitive context.
Untangling the Interplay: Insights from Human Data
Cutting-edge experiments, often employing behavioral measures and computational models like the drift diffusion model (Ratcliff et al., 2016; Fisher, 2017), provide the scaffolding for understanding attention’s inner workings. Typically, participants are asked to respond to visual stimuli that appear unexpectedly or with cues indicating where and when they will appear. By manipulating these cues, scientists observe how reaction times and accuracy shift, revealing the mechanics of attentional deployment.
One key finding is that both spatial and temporal cues can independently enhance performance. A spatial cue might halve reaction time when it points accurately to an upcoming stimulus location. Similarly, a temporal cue that signals "when" often boosts readiness, resulting in swifter responses.
But the relationship isn’t always additive. The combination of spatial and temporal cues can deliver a greater-than-expected benefit (Doherty et al., 2005; Seibold et al., 2020), suggesting nonlinear interaction. For example, attention might be especially effective when both the “where” and the “when” are predictable—a brain poised not just in space or time, but at the intersection of both.
The Drift Diffusion Model: Illuminating Decision Processes
To move beyond raw response times, researchers often use computational frameworks like the drift diffusion model. This model proposes that decisions unfold as information accumulates over time, and attention improves the quality or speed of this accumulation. Spatial and temporal attention can increase the rate or consistency of evidence collection, but their effects aren’t always straightforward. In some situations, boosting both forms of attention leads to superadditive (nonlinear) benefits. In others, one form of attention may plateau, offering diminishing returns when the other is already optimized.
When Space Meets Time: Independence or Interdependence?
A core question persists: do spatial and temporal attention draw from the same cognitive well, or do they operate as distinct systems? The evidence is mixed. Several studies indicate partial independence (Tal-Perry & Yuval-Greenberg, 2022; Weinbach et al., 2015), especially when attention is directed voluntarily (Olk, 2014). However, other findings show these systems can interact robustly under certain conditions, such as in complex, high-load tasks (Doherty et al., 2005; Rohenkohl et al., 2014).
What’s behind this flexibility? The answer may lie in how the brain allocates cognitive control and the motivational value ascribed to the task (Shenhav et al., 2013; Obando et al., 2025). If maximizing performance requires an intense focus on both “where” and “when,” our neural machinery gears up for the challenge—sometimes with costs in terms of subjective effort (Kurzban et al., 2013) or with trade-offs when attentional resources are limited.
The Real-World Impact: Why This Matters
Understanding how space and time govern our focus has practical implications. For athletes and musicians, precisely tuning attention to the right place and moment can be the difference between victory and defeat. In education and work, structuring material and deadlines to align with our cognitive strengths can maximize productivity and learning.
Moreover, this research informs our grasp of neurological and psychiatric disorders—conditions where attentional systems go awry. Knowing the rules and nuances of attentional interplay may inspire targeted therapies for attention-deficit disorders, age-related cognitive decline, or anxiety, where timing and focus can either slip out of sync or become overburdened.
On the Horizon: Questions for the Future
As brain imaging and computational modeling evolve, future research will probe even deeper. Open questions remain: How are these attention systems instantiated in neural circuits? Do individual differences—genetic, developmental, or experiential—push some brains toward independence or interdependence of spatial and temporal attention? And can we train attention to optimize these interactions for complex, real-world tasks?
Attention is no longer seen as a monolithic process, but as a symphony of space and time. The latest investigations illuminate not only how we focus, but when and where that focus can best serve our goals.
References
A selection of key studies referenced in this post:
- Doherty, J. R. et al. (2005). Synergistic effect of combined temporal and spatial expectations on visual attention. Journal of Neuroscience, 25(36), 8259–8266.
- Ratcliff, R. et al. (2016). Diffusion decision model: current issues and history. Trends in Cognitive Sciences, 20(4), 260–281.
- Fisher, G. (2017). An attentional drift diffusion model over binary-attribute choice. Cognition, 168, 34–45.
- Denison, R. N., Heeger, D. J. & Carrasco, M. (2017). Attention flexibly trades off across points in time. Psychonomic Bulletin & Review, 24, 1142–1151.
- Tal-Perry, N. & Yuval-Greenberg, S. (2022). The spatiotemporal link of temporal expectations: contextual temporal expectation is independent of spatial attention. Journal of Neuroscience, 42(12), 2516–2523.
- Olk, B. (2014). Effects of spatial, temporal and spatiotemporal cueing are alike when attention is directed voluntarily. Experimental Brain Research, 232(11), 3623–3633.
- Shenhav, A., Botvinick, M. M. & Cohen, J. D. (2013). The expected value of control: an integrative theory of anterior cingulate cortex function. Neuron, 79(2), 217–240.
- Obando, J. A. M., Musslick, S. & Cohen, J. D. (2025). Learning expectations shape cognitive control allocation. Proceedings of the National Academy of Sciences, 122(44): e2416720122.
For a deeper dive, see the original article: Linear and nonlinear effects of Spatial and Temporal attention: human data and drift diffusion model.

