Psychological Reserve/External Psychological Control in Psychotherapy: Review and New Models
Abstract
1. Background
2. Key Concepts
2.1. Concepts
2.2. Psychological Reserve
2.3. Psychological Control
3. Terminology Related to Psychological Reserve and Psychological Control
3.1. Psychological Resource Model
3.2. Elaboration
3.3. Other Terms
3.3.1. Introduction
3.3.2. Methods
3.3.3. Psychological Control and Psychological Reserve: Definitions and Comparison
3.3.4. Comment
4. Future Research Directions
4.1. Questionnaire
4.2. Mathematical Representation
5. Final Remarks
5.1. Limitations
5.2. Directions for Future Research
5.3. Applications
5.4. The Validity of the Theorizing
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
Appendix A.1. External Psychological Control × Reserve Model
Appendix A.1.1. Introduction
Appendix A.1.2. Variables and Parameters (With Ranges and Interpretation)
Appendix A.1.3. State Variable
- Q(t)
- ○
- Role: State variable.
- ○
- Meaning: Effective external psychological control at time t, conceptualized as the product of control and reserve,
- ○
- Scale: 0–1 (proportion of “maximal” control × reserve). We think it is fair to assume that such a property has a maximum and minimum value. These might differ per person, but for simplicity, we can always transform these to 1 and 0, respectively. This applies to all 0–1 scales.
- ○
- Default initial value: 1 (starting at full control/reserve).
- ○
- Notes: When is small, either control or reserve, or both are low.
Appendix A.1.4. Conceptual Components
- C(t)
- ○
- Role: Conceptual component of Q.
- ○
- Meaning: Level of external psychological control at time t.
- ○
- Scale: 0–1, with as resting/maximal control.
- ○
- Note: In this implementation, C is not simulated separately; it is aggregated into Q.
- R(t)
- ○
- Role: Conceptual component of Q.
- ○
- Meaning: Psychological reserve (buffer, capacity) at time t.
- ○
- Scale: 0–1, with as resting/maximal reserve.
- ○
- Note: Also not simulated separately; R’s influence is “folded into” Q.
Appendix A.1.5. Parameters
- (Qr in code)
- ○
- Role: Parameter.
- ○
- Meaning: Resting/maximal level of effective control × reserve ().
- ○
- Typical range: Often fixed at 1 (but could be >0 if you want individual differences in maximum).
- ○
- Interpretation: Upper bound toward which Q recovers when depletion is absent.
- (rho)
- ○
- Role: Parameter, recovery rate.
- ○
- Meaning: Speed at which Q returns toward its resting level in absence of depletion.
- ○
- Units: 1/time unit.
- ○
- Typical range: 0.01–1.0.
- ▪
- Small (e.g., 0.01–0.05): very slow recovery.
- ▪
- Medium (0.1–0.3): moderate recovery.
- ▪
- Large (>0.5): rapid recovery.
- ○
- Interpretation: Higher → faster recovery from depletion.
- (time-varying depletion rate)
- ○
- Role: Time-varying parameter (function of t and “instances” i).
- ○
- Meaning: Net depletion rate at time t, reflecting demands, life events, therapy, etc.
- ○
- Units: 1/time unit.
- ○
- Typical range:
- ▪
- Baseline: 0–0.1 (mild day-to-day depletion).
- ▪
- Stressful events: 0.2–1.0 (strong depletion).
- ▪
- Optionally to represent strongly restorative conditions (net boosting), but in the basic “depletion” version .
- ○
- Interpretation: Higher → stronger current depletion of external psychological control.
- Event timing parameters (implementation details for )
- ○
- t_event_start, t_event_end: time window of a stressful period (e.g., major life stressor).
- ○
- t_therapy_start, t_therapy_end: time window where therapy reduces depletion.
- ○
- These are not “core” theory parameters, but implementation details specifying when changes.
Appendix A.1.6. Model Specification and R Implementation
Appendix A.1.7. ODE Model
| model_Q <- function(t, state, pars) { with(as.list(c(state, pars)), { # ----- Time-varying depletion rate delta_t ----- # Baseline depletion: delta_t <- delta_baseline # Stressful period with stronger depletion if (t >= t_event_start && t < t_event_end) { delta_t <- delta_event } # Therapy period with reduced depletion if (t >= t_therapy_start && t < t_therapy_end) { delta_t <- delta_therapy } # Differential equation: # dQ/dt = -delta_t * Q + rho * (Qr - Q) dQ <- - delta_t * Q + rho * (Qr - Q) # Return derivative and also delta_t as an output variable list(c(dQ), delta_t = delta_t) }) } |
Appendix A.1.8. Default Parameters and Single Simulation
| # Default parameters pars <- c( # Core theory parameters rho = 0.20, # recovery rate Qr = 1.00, # maximum/resting level # Depletion parameters delta_baseline = 0.05, # baseline depletion (day-to-day demands) delta_event = 0.50, # depletion during stressful period delta_therapy = 0.02, # reduced depletion during therapy # Event timing (in arbitrary time units) t_event_start = 10, t_event_end = 30, t_therapy_start = 30, t_therapy_end = 60 ) # Initial state and time grid state <- c(Q = 1.0) # start at full control × reserve times <- seq(0, 100, by = 0.1) # simulation horizon # Run model out <- ode(y = state, times = times, func = model_Q, parms = pars) out_df <- as.data.frame(out) head(out_df) ## time Q delta_t ## 1 0.0 1.0000000 0.05 ## 2 0.1 0.9950617 0.05 ## 3 0.2 0.9902454 0.05 ## 4 0.3 0.9855480 0.05 ## 5 0.4 0.9809669 0.05 ## 6 0.5 0.9764988 0.05 |
Appendix A.1.9. Plots for a Single Parameter Setting
| ggplot(out_df, aes(x = time, y = Q)) + geom_line(linewidth = 1) + labs( x = "Time", y = "Q(t) = C(t) × R(t)", title = "Dynamics of psychological control × reserve" ) + ylim(0, 1.05) + theme_minimal() |

| ggplot(out_df, aes(x = time, y = delta_t)) + geom_step(linewidth = 1) + labs( x = "Time", y = expression(delta[t]), title = "Time-varying depletion rate" ) + theme_minimal() |
Appendix B
Appendix B.1. Creating and Testing Empirically Psychological Models: The Case for Psychological Control and Psychological Reserve
Appendix B.2. The Construct
Appendix B.3. The Term
Appendix B.4. Development
Theoretical Critique
- A.
- On Theory
- 1.
- Most theories are verbal, underspecified, and weakly predictive.
- 2.
- Research data seldom falsify or refine theory.
- 3.
- Constructs are poorly defined, and boundary conditions are not clear.
- 4.
- Constructs are ambiguous, as are auxiliaries, which undermine inference.
- 5.
- Theories are vague and can fit any data, including false positives.
- 6.
- It is difficult to derive hypotheses from theories that are not good.
- 7.
- Imprecise theories make it difficult to make predictions.
- B.
- On Synthesis
- 8.
- Theories have little comparison, revision, and updating.
- 9.
- Theories overlap.
- 10.
- Theories survive or “fade away” too slowly.
- 11.
- Incompatible constructs and terms do not foster integration.
- 12.
- Findings are disconnected and do not foster synthesis.
- 13.
- A lack of integration and explanatory connections inhibits unifying theories.
- 14.
- Methodological sophistication is preferred relative to conceptual integration.
- C.
- On Modeling
- 15.
- Formal modeling is underused; it is needed for explicating mechanisms.
- 16.
- Formal models are needed for deriving testable predictions.
- D.
- On Empirical Work
- 17.
- There is a lack of specification for theoretical work vs. empirical research.
- 18.
- Flexible analyses are rewarded.
- 19.
- Measurement and statistics (factor, network) are preferred compared to establishing mechanisms.
- 20.
- Journals and funders seek data-driven articles over theory development and conceptual integration.
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Young, G.; van Dongen, N. Psychological Reserve/External Psychological Control in Psychotherapy: Review and New Models. Behav. Sci. 2026, 16, 485. https://doi.org/10.3390/bs16040485
Young G, van Dongen N. Psychological Reserve/External Psychological Control in Psychotherapy: Review and New Models. Behavioral Sciences. 2026; 16(4):485. https://doi.org/10.3390/bs16040485
Chicago/Turabian StyleYoung, Gerald, and Noah van Dongen. 2026. "Psychological Reserve/External Psychological Control in Psychotherapy: Review and New Models" Behavioral Sciences 16, no. 4: 485. https://doi.org/10.3390/bs16040485
APA StyleYoung, G., & van Dongen, N. (2026). Psychological Reserve/External Psychological Control in Psychotherapy: Review and New Models. Behavioral Sciences, 16(4), 485. https://doi.org/10.3390/bs16040485

