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Logistic Carrying Capacity Step Calculator — result sheet
Estimate one bounded population step under a logistic growth model with a supplied carrying capacity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Next population=P+rP(1−P/K).
The density-dependent adjustment is shown separately from the current population before one model step is taken.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Current population — minimum 1.0E-6; maximum 1000000000
- Intrinsic growth rate per step — minimum -10; maximum 10
- Carrying capacity K — minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Current population | 400 |
| Intrinsic growth rate per step | 0.1 |
| Carrying capacity K | 1000 |
Next model population =424.
Assumptions and limits
- Population and carrying capacity are positive and carrying capacity is the selected environmental limit.
- Growth rate applies for one equal time step and the logistic model is appropriate for the scenario.
- Age structure, migration, harvesting, stochasticity, and real management decisions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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