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Fig 1.

Location of Sanya and its national ascertained resources.

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Table 1.

Criterion tree and weight for evaluating ecological suitability.

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Table 2.

Criterion tree and weight for evaluating urban development potential.

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Fig 2.

Various spatial variables for multi-criteria evaluations.

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Fig 3.

Ecological suitability and urban development potential maps of Sanya.

(a) Ecological suitability map. (b) Urban development potential map.

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Fig 4.

Representation of a solution for zoning protected ecological area.

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Fig 5.

Pseudo code of the “pseudo-random” initialization.

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Fig 6.

An example of the replace-and-alter strategy for generating neighbor solutions.

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Fig 7.

An example of the swap strategy for local search.

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Fig 8.

Simulated site attribute value surface with multiple peaks.

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Fig 9.

Optimization process and validation analysis of the IABC algorithm.

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Fig 10.

Improvement process of the global optimal objective function value for the IABC.

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Fig 11.

Overlay of the optimization results after repeatedly running the IABC algorithm 10 times.

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Fig 12.

Overlay analysis of the IABC optimization result and land-use map.

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Table 3.

Land-use quantity statistics of the IABC optimization result.

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Fig 13.

Curves of objective function value for the IABC, AgentLA, ACO, DS and IABC* methods (the IABC* method is the same as the IABC method except that initialization is implemented only by the “complete random” method).

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Fig 14.

Examples of spatial patterns obtained by the (a) IABC, (b) AgentLA, (c) ACO, and (d) DS methods.

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Table 4.

Statistical analysis of optimization results for ten executions of the IABC, AgentLA, ACO and DS methods.

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