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Evolutionary Genetics and Speciation: Mechanisms and Concepts

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

{"type":"doc","content":[{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Evolutionary Genetics and Phylogenetics"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Introduction to Evolutionary Genetics"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Evolutionary genetics explores how genetic variation leads to evolutionary changes within populations and the formation of new species. This field connects the principles of genetics with the mechanisms of evolution, emphasizing the genetic basis of evolutionary processes."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Biological Evolution:"},{"type":"text","text":" Defined as genetic change in a group of organisms over time."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Evolution is a two-step process:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Genetic variation arises (via mutation and recombination)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Frequencies of genetic variants change (via selection, genetic drift, migration)."}]}]}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\"Nothing in Biology makes sense except in the light of Evolution.\" – Theodosius Dobzhansky"}]}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Types of Evolutionary Change"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Anagenesis vs. Cladogenesis"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Evolution within a group of organisms can occur in two main ways:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Anagenesis:"},{"type":"text","text":" Evolutionary change within a single lineage over time, resulting in the transformation of one species into another without branching."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Cladogenesis:"},{"type":"text","text":" The splitting of one lineage into two or more genetically independent lineages, leading to the formation of new species."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_2.png","alt":"Diagram showing anagenesis and cladogenesis","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Species Concepts and Speciation"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Defining Species"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"The concept of species is central to evolutionary biology and genetics. There are two primary uses in biology:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"A name for a particular type of living organism."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"An evolutionarily independent group of organisms."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Species are generally distinguished based on phenotypic (often anatomical) differences, which are assumed to reflect underlying genetic differences."}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Biological Species Concept"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Proposed by Ernst Mayr (1942), the biological species concept defines a species as:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"\"A group of organisms whose members are capable of interbreeding with one another but are reproductively isolated from the members of other species.\""}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Focuses on biological characteristics that separate individuals into independently evolving units."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Members of the same species exchange genes; different species do not, leading to independent evolution."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Limitations:"},{"type":"text","text":" Difficult to prove reproductive isolation in fossils and living organisms; does not apply to asexual organisms (e.g., bacteria)."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"species assumption: phenotypic differences represent underlying genetic differences"}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Reproductive Isolating Mechanisms (RIMs)"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Overview of RIMs"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Reproductive isolating mechanisms are biological factors that prevent gene exchange between populations, leading to speciation. They are classified as prezygotic or postzygotic mechanisms."}]},{"type":"table","content":[{"type":"tableRow","content":[{"type":"tableHeader","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Type"}]}]},{"type":"tableHeader","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Characteristic"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Prezygotic"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Mechanisms before a zygote has formed"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Ecological"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Differences in habitat; individuals do not meet"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Temporal"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Reproduction takes place at different times"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Mechanical"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Anatomical differences prevent copulation"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Behavioral"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Differences in mating behavior prevent mating"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Gametic"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Gametes incompatible or not attracted to each other"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Postzygotic"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Mechanisms after a zygote has formed"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Hybrid inviability"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Hybrid zygote does not survive to reproduction"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Hybrid sterility"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Hybrid is sterile"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[158]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Hybrid breakdown"}]}]},{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[255]},"content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"F1 hybrids are viable and fertile, but F2 are inviable or sterile"}]}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_6.png","alt":"Table of prezygotic and postzygotic isolating mechanisms","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Prezygotic Isolating Mechanisms"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Prezygotic mechanisms prevent the formation of hybrid zygotes by blocking mating or fertilization between species."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Ecological Isolation:"},{"type":"text","text":" Species occupy different habitats (e.g., "},{"type":"text","marks":[{"type":"italic"}],"text":"Gryllus pennsylvanicus"},{"type":"text","text":" prefers sandy soil, "},{"type":"text","marks":[{"type":"italic"}],"text":"Gryllus firmus"},{"type":"text","text":" prefers loamy soil)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Temporal Isolation:"},{"type":"text","text":" Species reproduce at different times (e.g., two frog species breed in different seasons)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Mechanical Isolation:"},{"type":"text","text":" Anatomical differences prevent mating (e.g., damselfly reproductive organs are species-specific)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Behavioral Isolation:"},{"type":"text","text":" Differences in mating behavior (e.g., blue-footed booby's mating dance is species-specific)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Gametic Isolation:"},{"type":"text","text":" Gametes are incompatible (e.g., coral species release eggs and sperm, but only compatible gametes fertilize)."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_7.png","alt":"Gryllus pennsylvanicus cricket","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_8.png","alt":"Gryllus firmus cricket","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_9.png","alt":"Two frog species showing temporal isolation","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_10.png","alt":"Damselfly reproductive organs illustrating mechanical isolation","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_12.png","alt":"Coral species showing gametic isolation","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_13.png","alt":"Blue-footed booby showing behavioral isolation","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Postzygotic Isolating Mechanisms"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Postzygotic mechanisms act after fertilization, reducing the viability or fertility of hybrids."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Hybrid Inviability:"},{"type":"text","text":" Hybrid offspring fail to develop or reach reproductive age (e.g., hybrid tadpoles die before becoming frogs)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Hybrid Sterility:"},{"type":"text","text":" Hybrids are sterile (e.g., mules, the offspring of a horse and donkey, cannot reproduce)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Hybrid Breakdown:"},{"type":"text","text":" First-generation hybrids are viable and fertile, but their offspring are inviable or sterile (e.g., copepod hybrids)."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_15.png","alt":"Mule, a sterile hybrid between horse and donkey","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_16.png","alt":"Horse and donkey, parents of mule","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_14.png","alt":"Hybrid tadpole and frog showing hybrid inviability","title":null,"width":null,"height":null}},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_17.png","alt":"Copepod hybrid showing hybrid breakdown","title":null,"width":null,"height":null}}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Modes of Speciation"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Allopatric Speciation"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Allopatric speciation occurs when a geographic barrier divides a population, preventing gene flow and allowing independent evolution. Over time, genetic differences accumulate, leading to reproductive isolation and the formation of new species."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Geographic barriers (e.g., rivers, mountains) split populations."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Genetic differentiation occurs via selection, drift, and mutation."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Reproductive isolating mechanisms evolve, completing speciation."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/genetics/sub_images/65951722_image_20.png","alt":"Diagram of allopatric speciation with geographic 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