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) en An analytical and simulation framework to study the impacts of roads on the persistence of populations.
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| 78 | "notes": "Background/Question/Methods Roads can have major impacts | 92 | "notes": "Background/Question/Methods Roads can have major impacts | ||
| 79 | on wildlife populations. They fragment the landscape, thus reducing | 93 | on wildlife populations. They fragment the landscape, thus reducing | ||
| 80 | the dispersal ability and gene flow of species, and they are also a | 94 | the dispersal ability and gene flow of species, and they are also a | ||
| 81 | major source of mortality due to road killings. Thus, roads are | 95 | major source of mortality due to road killings. Thus, roads are | ||
| 82 | responsible for the reduction of population sizes, and can even lead | 96 | responsible for the reduction of population sizes, and can even lead | ||
| 83 | to the extinction of a given population. Therefore, the assessment of | 97 | to the extinction of a given population. Therefore, the assessment of | ||
| 84 | the impact that roads have on wildlife, especially in densely human | 98 | the impact that roads have on wildlife, especially in densely human | ||
| 85 | populated areas, is a major concern for conservation efforts. Here, | 99 | populated areas, is a major concern for conservation efforts. Here, | ||
| 86 | based on Skellam's diffusion model, we develop an analytical framework | 100 | based on Skellam's diffusion model, we develop an analytical framework | ||
| 87 | and simulation tools to assess this impact. Our model treats space | 101 | and simulation tools to assess this impact. Our model treats space | ||
| 88 | explicitly and consists of a periodic landscape where the basic patch | 102 | explicitly and consists of a periodic landscape where the basic patch | ||
| 89 | has a rectangular shape. Its analytical solution is only possible in | 103 | has a rectangular shape. Its analytical solution is only possible in | ||
| 90 | simple situations, such as when populations have exponential growth or | 104 | simple situations, such as when populations have exponential growth or | ||
| 91 | when individuals necessarily die when crossing a road. In order to | 105 | when individuals necessarily die when crossing a road. In order to | ||
| 92 | deal with more realistic problems we used numerical simulations based | 106 | deal with more realistic problems we used numerical simulations based | ||
| 93 | on a discretized version of the original model.\n Results/Conclusions | 107 | on a discretized version of the original model.\n Results/Conclusions | ||
| 94 | We exemplify the application of our methods by studying, first, how | 108 | We exemplify the application of our methods by studying, first, how | ||
| 95 | minimum patch size and its geometrical shape relate to the survival of | 109 | minimum patch size and its geometrical shape relate to the survival of | ||
| 96 | a population, and, second, how the size of nonviable patch relates to | 110 | a population, and, second, how the size of nonviable patch relates to | ||
| 97 | time to extinction of a population. Concerning patch size and shape, | 111 | time to extinction of a population. Concerning patch size and shape, | ||
| 98 | our model highlights the negative relationship between diffusion and | 112 | our model highlights the negative relationship between diffusion and | ||
| 99 | persistence of populations, and how it is influenced by the layout of | 113 | persistence of populations, and how it is influenced by the layout of | ||
| 100 | the roads. Specifically, we show that the distance between roads and | 114 | the roads. Specifically, we show that the distance between roads and | ||
| 101 | the shape of the area are determining factors. For instance, | 115 | the shape of the area are determining factors. For instance, | ||
| 102 | populations are at higher risk of \u2026\n Palabras clave: Population, | 116 | populations are at higher risk of \u2026\n Palabras clave: Population, | ||
| 103 | Simulation", | 117 | Simulation", | ||
| 104 | "notes_translated": { | 118 | "notes_translated": { | ||
| 105 | "en": "Background/Question/Methods Roads can have major impacts on | 119 | "en": "Background/Question/Methods Roads can have major impacts on | ||
| 106 | wildlife populations. They fragment the landscape, thus reducing the | 120 | wildlife populations. They fragment the landscape, thus reducing the | ||
| 107 | dispersal ability and gene flow of species, and they are also a major | 121 | dispersal ability and gene flow of species, and they are also a major | ||
| 108 | source of mortality due to road killings. Thus, roads are responsible | 122 | source of mortality due to road killings. Thus, roads are responsible | ||
| 109 | for the reduction of population sizes, and can even lead to the | 123 | for the reduction of population sizes, and can even lead to the | ||
| 110 | extinction of a given population. Therefore, the assessment of the | 124 | extinction of a given population. Therefore, the assessment of the | ||
| 111 | impact that roads have on wildlife, especially in densely human | 125 | impact that roads have on wildlife, especially in densely human | ||
| 112 | populated areas, is a major concern for conservation efforts. Here, | 126 | populated areas, is a major concern for conservation efforts. Here, | ||
| 113 | based on Skellam's diffusion model, we develop an analytical framework | 127 | based on Skellam's diffusion model, we develop an analytical framework | ||
| 114 | and simulation tools to assess this impact. Our model treats space | 128 | and simulation tools to assess this impact. Our model treats space | ||
| 115 | explicitly and consists of a periodic landscape where the basic patch | 129 | explicitly and consists of a periodic landscape where the basic patch | ||
| 116 | has a rectangular shape. Its analytical solution is only possible in | 130 | has a rectangular shape. Its analytical solution is only possible in | ||
| 117 | simple situations, such as when populations have exponential growth or | 131 | simple situations, such as when populations have exponential growth or | ||
| 118 | when individuals necessarily die when crossing a road. In order to | 132 | when individuals necessarily die when crossing a road. In order to | ||
| 119 | deal with more realistic problems we used numerical simulations based | 133 | deal with more realistic problems we used numerical simulations based | ||
| 120 | on a discretized version of the original model.\nResults/Conclusions | 134 | on a discretized version of the original model.\nResults/Conclusions | ||
| 121 | We exemplify the application of our methods by studying, first, how | 135 | We exemplify the application of our methods by studying, first, how | ||
| 122 | minimum patch size and its geometrical shape relate to the survival of | 136 | minimum patch size and its geometrical shape relate to the survival of | ||
| 123 | a population, and, second, how the size of nonviable patch relates to | 137 | a population, and, second, how the size of nonviable patch relates to | ||
| 124 | time to extinction of a population. Concerning patch size and shape, | 138 | time to extinction of a population. Concerning patch size and shape, | ||
| 125 | our model highlights the negative relationship between diffusion and | 139 | our model highlights the negative relationship between diffusion and | ||
| 126 | persistence of populations, and how it is influenced by the layout of | 140 | persistence of populations, and how it is influenced by the layout of | ||
| 127 | the roads. Specifically, we show that the distance between roads and | 141 | the roads. Specifically, we show that the distance between roads and | ||
| 128 | the shape of the area are determining factors. For instance, | 142 | the shape of the area are determining factors. For instance, | ||
| 129 | populations are at higher risk of \u2026", | 143 | populations are at higher risk of \u2026", | ||
| 130 | "es": "Background/Question/Methods Roads can have major impacts on | 144 | "es": "Background/Question/Methods Roads can have major impacts on | ||
| 131 | wildlife populations. They fragment the landscape, thus reducing the | 145 | wildlife populations. They fragment the landscape, thus reducing the | ||
| 132 | dispersal ability and gene flow of species, and they are also a major | 146 | dispersal ability and gene flow of species, and they are also a major | ||
| 133 | source of mortality due to road killings. Thus, roads are responsible | 147 | source of mortality due to road killings. Thus, roads are responsible | ||
| 134 | for the reduction of population sizes, and can even lead to the | 148 | for the reduction of population sizes, and can even lead to the | ||
| 135 | extinction of a given population. Therefore, the assessment of the | 149 | extinction of a given population. Therefore, the assessment of the | ||
| 136 | impact that roads have on wildlife, especially in densely human | 150 | impact that roads have on wildlife, especially in densely human | ||
| 137 | populated areas, is a major concern for conservation efforts. Here, | 151 | populated areas, is a major concern for conservation efforts. Here, | ||
| 138 | based on Skellam's diffusion model, we develop an analytical framework | 152 | based on Skellam's diffusion model, we develop an analytical framework | ||
| 139 | and simulation tools to assess this impact. Our model treats space | 153 | and simulation tools to assess this impact. Our model treats space | ||
| 140 | explicitly and consists of a periodic landscape where the basic patch | 154 | explicitly and consists of a periodic landscape where the basic patch | ||
| 141 | has a rectangular shape. Its analytical solution is only possible in | 155 | has a rectangular shape. Its analytical solution is only possible in | ||
| 142 | simple situations, such as when populations have exponential growth or | 156 | simple situations, such as when populations have exponential growth or | ||
| 143 | when individuals necessarily die when crossing a road. In order to | 157 | when individuals necessarily die when crossing a road. In order to | ||
| 144 | deal with more realistic problems we used numerical simulations based | 158 | deal with more realistic problems we used numerical simulations based | ||
| 145 | on a discretized version of the original model.\n Results/Conclusions | 159 | on a discretized version of the original model.\n Results/Conclusions | ||
| 146 | We exemplify the application of our methods by studying, first, how | 160 | We exemplify the application of our methods by studying, first, how | ||
| 147 | minimum patch size and its geometrical shape relate to the survival of | 161 | minimum patch size and its geometrical shape relate to the survival of | ||
| 148 | a population, and, second, how the size of nonviable patch relates to | 162 | a population, and, second, how the size of nonviable patch relates to | ||
| 149 | time to extinction of a population. Concerning patch size and shape, | 163 | time to extinction of a population. Concerning patch size and shape, | ||
| 150 | our model highlights the negative relationship between diffusion and | 164 | our model highlights the negative relationship between diffusion and | ||
| 151 | persistence of populations, and how it is influenced by the layout of | 165 | persistence of populations, and how it is influenced by the layout of | ||
| 152 | the roads. Specifically, we show that the distance between roads and | 166 | the roads. Specifically, we show that the distance between roads and | ||
| 153 | the shape of the area are determining factors. For instance, | 167 | the shape of the area are determining factors. For instance, | ||
| 154 | populations are at higher risk of \u2026\n Palabras clave: Population, | 168 | populations are at higher risk of \u2026\n Palabras clave: Population, | ||
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