---
title: "Classifying the Living World"
book: "University Biology — Year 1"
subject: biology
language: en
chapter: 29
exercises: 12
source: https://one-course.com/books/biology/3/en/chapter/29-classifying-the-living-world
---

# Chapter 29 — Classifying the Living World

About $2$ million [species](#def-b1-classifying-biodiversity-species) have been named, and every year some $18\,000$ are added; the number that exist is estimated at nearly $9$ million for the eukaryotes alone, and nobody knows how many bacteria. A name is only the beginning: a biologist wants to know which [species](#def-b1-classifying-biodiversity-species) is closest to which, and the answer is a tree, because the [species](#def-b1-classifying-biodiversity-species) are related by descent. This chapter gives the rules of naming, the methods by which relationships are inferred from characters — and the criterion, [parsimony](#def-b1-classifying-biodiversity-parsimony), by which competing trees are judged — the shape of the tree of life as it is now understood, and the state of the inventory of what lives.

## 29.1 Species and names

**Definition 29.1 (Species).**

A *species* is, under the *biological species concept*, a group of [populations](https://one-course.com/books/biology/3/en/chapter/25-populations-and-demography#def-b1-populations-population) whose members can interbreed and produce fertile offspring and are reproductively isolated from other such groups. The concept cannot be applied to [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) that do not reproduce sexually (most bacteria, many protists and some plants and animals), to fossils, or to [populations](https://one-course.com/books/biology/3/en/chapter/25-populations-and-demography#def-b1-populations-population) that never meet; there a species is recognised by its morphology (the *morphological* concept), by its distinct lineage on a tree (the *phylogenetic* concept), or by a threshold of genetic divergence. All the concepts try to name the same thing: a lineage evolving separately from others.

**Definition 29.2 (Nomenclature and ranks).**

Every [species](#def-b1-classifying-biodiversity-species) has a *binomial* name: the name of its *genus* (capitalised) followed by a specific epithet, both in italics — *Homo sapiens*, *Quercus robur*, *Escherichia coli* — often followed by the author and year of its description. The system, fixed by Linnaeus in 1753 (plants) and 1758 (animals), nests [species](#def-b1-classifying-biodiversity-species) in a hierarchy of *ranks*: genus, family, order, class, phylum (or division), kingdom, domain. A group at any rank is a *taxon*. Each name is tied to a *type specimen*, deposited in a museum or herbarium, which fixes what the name refers to; the oldest valid name has priority; and the rules are codified so that one [organism](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) has one name worldwide. The ranks are conventions — there is no property that all families share and no genus does; only the [species](#def-b1-classifying-biodiversity-species) is a natural unit.

![The nested ranks of the Linnaean hierarchy, for the cat and the wolf. Each box is a taxon; the binomial names the genus and the species.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/fig-9292512cce76.svg)

*The nested ranks of the Linnaean hierarchy, for the cat and the wolf. Each box is a [taxon](#def-b1-classifying-biodiversity-nomenclature); the binomial names the [genus](#def-b1-classifying-biodiversity-nomenclature) and the [species](#def-b1-classifying-biodiversity-species).*

![Carl Linnaeus (1707–1778), whose Species Plantarum of 1753 and tenth edition of the Systema Naturae of 1758 are the starting points of botanical and zoological nomenclature. Portrait by Alexander Roslin, 1775.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/img-d9976cddf809.jpg)

*Carl Linnaeus (1707–1778), whose *[Species](#def-b1-classifying-biodiversity-species) Plantarum* of 1753 and tenth edition of the *Systema Naturae* of 1758 are the starting points of botanical and zoological nomenclature. Portrait by Alexander Roslin, 1775.*

![A herbarium sheet: a pressed, labelled specimen of the kind that serves as the type of a plant name and as the permanent evidence of where and when the species was found.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/img-ecca8058376c.jpg)

*A herbarium sheet: a pressed, labelled specimen of the kind that serves as the type of a plant name and as the permanent evidence of where and when the [species](#def-b1-classifying-biodiversity-species) was found.*

## 29.2 Reconstructing relationships

**Definition 29.3 (Systematics, phylogeny, cladistics).**

*Systematics* is the study of the diversity of [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) and of the relationships among them; a *phylogeny* is the tree of those relationships, a hypothesis about the order in which lineages split. *Phenetics* groups [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) by overall similarity, counting all characters equally; *cladistics* groups them by shared derived characters only, so that every group is a *clade* — an ancestor and all of its descendants. Modern classification aims to make every named [taxon](#def-b1-classifying-biodiversity-nomenclature) a clade.

**Definition 29.4 (Characters: homology, homoplasy, polarity).**

A *character* is any heritable feature with two or more *states* (limb present or absent; a given base in a [gene](https://one-course.com/books/biology/3/en/chapter/17-genomes-of-cells-and-viruses#def-b1-genomes-gene) A, C, G or T). Two [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism)’ characters are *homologous* when inherited from a common ancestor, *homoplastic* when similar by convergence or reversal (the wings of birds and bats; the streamlined bodies of dolphins and sharks). A character state is *ancestral* (plesiomorphic) if present in the group’s ancestor, *derived* (apomorphic) if it arose within the group; the derived states shared by a [clade](#def-b1-classifying-biodiversity-systematics), its *synapomorphies*, are the only evidence for it. Polarity is determined by comparison with an *outgroup*, a [taxon](#def-b1-classifying-biodiversity-nomenclature) known to lie outside the group being studied: the state it shows is taken as ancestral.

**Definition 29.5 (Monophyly, paraphyly, polyphyly).**

A group is *monophyletic* (a [clade](#def-b1-classifying-biodiversity-systematics)) if it contains an ancestor and all its descendants; *paraphyletic* if it contains an ancestor and only some of its descendants (the “reptiles”, which exclude the birds descended from them; the “fish”, which exclude the tetrapods; the “invertebrates”); *polyphyletic* if it groups descendants of different ancestors by a convergent character (the “warm-blooded animals”, birds and mammals; the “algae”). Paraphyletic groups are useful descriptions of grades of organisation but are not [clades](#def-b1-classifying-biodiversity-systematics) and are no longer given formal names.

![A cladogram of eight vertebrates with the synapomorphies marked on the branches. Clades are monophyletic; “fish” and “reptiles” are paraphyletic grades; “warm-blooded animals” is a polyphyletic grouping by a convergent character.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/fig-923bc649c6de.svg)

*A cladogram of eight vertebrates with the [synapomorphies](#def-b1-classifying-biodiversity-characters) marked on the branches. [Clades](#def-b1-classifying-biodiversity-systematics) are monophyletic; “fish” and “reptiles” are paraphyletic grades; “warm-blooded animals” is a polyphyletic grouping by a convergent character.*

**Definition 29.6 (Parsimony).**

Among all the trees that could relate a set of taxa, the *most parsimonious* is the one that requires the fewest evolutionary changes of character state — the smallest *tree length*, the sum over characters of the minimum number of changes each needs on that tree. A character that fits the tree with one change is consistent with it; one that needs two or more is a [homoplasy](#def-b1-classifying-biodiversity-characters) on that tree. Parsimony is not a claim that evolution is economical; it is the rule that a hypothesis should not multiply convergences beyond what the data force.

**Method 29.7 (Building a cladogram from a character matrix).**

1. Choose the taxa and an [outgroup](#def-b1-classifying-biodiversity-characters) ; list characters with their states, coding the [outgroup](#def-b1-classifying-biodiversity-characters) ’s state 0 (ancestral) and the derived state 1.
2. Group taxa by shared derived states, starting from the character shared by the most taxa (the deepest [clade](#def-b1-classifying-biodiversity-systematics) ) and nesting inward; each 1 shared by a set of taxa is a candidate [synapomorphy](#def-b1-classifying-biodiversity-characters) for that set.
3. Where characters conflict (two groupings cannot both be [clades](#def-b1-classifying-biodiversity-systematics) ), draw each alternative tree and count its length: for each character, the fewest changes that place its states on the tree.
4. Keep the shortest tree; the characters that needed extra changes on it are the [homoplasies](#def-b1-classifying-biodiversity-characters) . If two trees tie, the data do not decide and more characters are needed.
5. Read the tree: name the [clades](#def-b1-classifying-biodiversity-systematics) , note which traditional groups are paraphyletic, and check that it agrees with independent data (molecular sequences, fossils).

**Example 29.8 (Two trees, counted).**

Four taxa: lizard, bird, mammal, frog ([outgroup](#def-b1-classifying-biodiversity-characters)). Characters: amniotic egg (lizard, bird, mammal: 1), diapsid skull (lizard, bird), endothermy (bird, mammal). Tree A, (lizard, bird) then mammal: egg 1 change, skull 1, endothermy 2 (arising twice) — length 4. Tree B, (bird, mammal) then lizard: egg 1, endothermy 1, skull 2 — length 4. A tie; add feathers on the leg scales and epidermal scales (lizard, bird): tree A length 5, tree B length 6. Tree A is preferred, and endothermy is a [homoplasy](#def-b1-classifying-biodiversity-characters): it evolved twice.

![Parsimony decides between two trees by counting the changes each requires. Tree A needs one homoplasy (endothermy arising twice); tree B needs two; tree A is kept.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/fig-6465d43c464e.svg)

*[Parsimony](#def-b1-classifying-biodiversity-parsimony) decides between two trees by counting the changes each requires. Tree A needs one [homoplasy](#def-b1-classifying-biodiversity-characters) (endothermy arising twice); tree B needs two; tree A is kept.*

**Remark 29.9 (Molecular characters).**

A [gene](https://one-course.com/books/biology/3/en/chapter/17-genomes-of-cells-and-viruses#def-b1-genomes-gene) sequence supplies hundreds of characters at once, each site a character with four states, comparable across [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) that share no visible feature — a bacterium and an oak. Sequences are aligned, homologous sites compared, and trees built by [parsimony](#def-b1-classifying-biodiversity-parsimony) or by statistical methods that model the rate of substitution; the molecular clock, the rate at which neutral differences accumulate, dates the splits. The methods, and the pitfalls of long branches and unequal rates, are treated in the Year 2 volume.

## 29.3 The tree of life

**Proposition 29.10 (Three domains).**

Life divides into three domains: *Bacteria*, *Archaea* and *Eukarya*. Bacteria and Archaea are both prokaryotic in [cell](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#def-b1-cell-unit-of-life-cell) organisation ([Chapter 5](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#ch-b1-cell-unit-of-life)) but differ in their membrane [lipids](https://one-course.com/books/biology/3/en/chapter/9-lipids#def-b1-lipids-fattyacid), [cell walls](https://one-course.com/books/biology/3/en/chapter/10-carbohydrates#prop-b1-carbohydrates-wall), [RNA polymerases](https://one-course.com/books/biology/3/en/chapter/19-gene-expression-transcription-and-translation#def-b1-gene-expression-transcription) and [ribosomes](https://one-course.com/books/biology/3/en/chapter/19-gene-expression-transcription-and-translation#def-b1-gene-expression-ribosome); the Archaea’s transcription and translation machinery is closer to the eukaryotes’ than to the bacteria’s, and the [eukaryotic cell](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#def-b1-cell-unit-of-life-prokeuk) arose from an archaeal lineage that acquired a bacterium as its [mitochondrion](https://one-course.com/books/biology/3/en/chapter/6-functional-organization-of-the-eukaryotic-cell#def-b1-eukaryotic-cell-mitochondrion) ([Chapter 6](https://one-course.com/books/biology/3/en/chapter/6-functional-organization-of-the-eukaryotic-cell#ch-b1-eukaryotic-cell)). Within the Eukarya the old kingdoms — animals, plants, fungi and a “protist” remainder — are replaced by a handful of major lineages, of which the animals, the fungi and the land plants are three small twigs, and the “protists” a paraphyletic assortment of everything else.

**Evidence.** Woese and Fox (1977) compared the sequence of the small-subunit [ribosomal RNA](https://one-course.com/books/biology/3/en/chapter/11-nucleotides-and-nucleic-acids#def-b1-nucleic-acids-rnas) — a molecule every [cell](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#def-b1-cell-unit-of-life-cell) has, of the same function and alignable across all of life — among bacteria, methanogens and eukaryotes, and found that the methanogens differed from the other bacteria as much as either differed from the eukaryotes. The prokaryotes were two groups, not one; the tree drawn from this one [gene](https://one-course.com/books/biology/3/en/chapter/17-genomes-of-cells-and-viruses#def-b1-genomes-gene) has been confirmed by whole [genomes](https://one-course.com/books/biology/3/en/chapter/17-genomes-of-cells-and-viruses#def-b1-genomes-genome) and by the distinct biochemistry of the Archaea (ether-linked [lipids](https://one-course.com/books/biology/3/en/chapter/9-lipids#def-b1-lipids-fattyacid), no [peptidoglycan](https://one-course.com/books/biology/3/en/chapter/10-carbohydrates#def-b1-carbohydrates-polysaccharide)). ∎

![The three domains, from ribosomal RNA. The Archaea are the eukaryotes’ closer relatives, and the eukaryotic cell is a fusion: an archaeal host with a bacterial mitochondrion (and, in plants and algae, a second bacterial partner, the chloroplast).](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/fig-4f5062faa4e9.svg)

*The three domains, from [ribosomal RNA](https://one-course.com/books/biology/3/en/chapter/11-nucleotides-and-nucleic-acids#def-b1-nucleic-acids-rnas). The Archaea are the eukaryotes’ closer relatives, and the [eukaryotic cell](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#def-b1-cell-unit-of-life-prokeuk) is a fusion: an archaeal host with a bacterial [mitochondrion](https://one-course.com/books/biology/3/en/chapter/6-functional-organization-of-the-eukaryotic-cell#def-b1-eukaryotic-cell-mitochondrion) (and, in plants and algae, a second bacterial partner, the chloroplast).*

![Carl Woese (1928–2012), in front of a ribosomal-RNA tree of the bacteria. His comparison of this one molecule across all of life revealed the Archaea and gave the tree of life its three domains.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/img-ba0f0421f489.jpg)

*Carl Woese (1928–2012), in front of a [ribosomal-RNA](https://one-course.com/books/biology/3/en/chapter/11-nucleotides-and-nucleic-acids#def-b1-nucleic-acids-chain) tree of the bacteria. His comparison of this one molecule across all of life revealed the Archaea and gave the tree of life its three domains.*

**Proposition 29.11 (The main eukaryote lineages).**

The eukaryotes fall into a few great groups: the *opisthokonts* (animals, fungi and their unicellular relatives, whose [cells](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#def-b1-cell-unit-of-life-cell) swim with one rear flagellum); the *Archaeplastida* (land plants, green and red algae, with the primary chloroplast); the *Amoebozoa*; the *Excavata* (flagellates such as *Trypanosoma* and *Euglena*); the *SAR* group (stramenopiles such as diatoms and brown algae; alveolates such as ciliates, dinoflagellates and the malaria [parasite](https://one-course.com/books/biology/3/en/chapter/27-interactions-between-species#def-b1-species-interactions-symbiosis); rhizarians such as foraminifera and radiolarians). Animals and fungi are thus closer to each other than either is to plants; the “algae” are scattered through four groups; and the microscopic majority of eukaryote diversity lies outside the three kingdoms with common names.

![Two of the eukaryote lineages that have no common name, in Ernst Haeckel’s plates of 1904: diatoms (stramenopiles, in silica shells) and radiolarians (rhizarians, in silica skeletons). Each group holds tens of thousands of species.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/img-fb21d61a4946.jpg)

![Two of the eukaryote lineages that have no common name, in Ernst Haeckel’s plates of 1904: diatoms (stramenopiles, in silica shells) and radiolarians (rhizarians, in silica skeletons). Each group holds tens of thousands of species.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/img-95955ec1b438.jpg)

*Two of the eukaryote lineages that have no common name, in Ernst Haeckel’s plates of 1904: diatoms (stramenopiles, in silica shells) and radiolarians (rhizarians, in silica skeletons). Each group holds tens of thousands of [species](#def-b1-classifying-biodiversity-species).*

## 29.4 The inventory of life

**Definition 29.12 (Biodiversity).**

*Biodiversity* is the variety of life at every level: genetic diversity within [species](#def-b1-classifying-biodiversity-species), the number and abundance of [species](#def-b1-classifying-biodiversity-species), and the variety of [communities](https://one-course.com/books/biology/3/en/chapter/26-ecosystems-and-trophic-structure#def-b1-ecosystem-organization-ecosystem) and [ecosystems](https://one-course.com/books/biology/3/en/chapter/26-ecosystems-and-trophic-structure#def-b1-ecosystem-organization-ecosystem). Its inventory is unfinished: some $2$ million [species](#def-b1-classifying-biodiversity-species) have been described, of which a million are insects, $380\,000$ plants, $150\,000$ fungi, $70\,000$ vertebrates and a few tens of thousands each of molluscs, crustaceans, protists and prokaryotes; the number of eukaryote [species](#def-b1-classifying-biodiversity-species) is estimated, from the rate at which new higher taxa are still being found, at close to $9$ million, so that most [species](#def-b1-classifying-biodiversity-species) are unnamed, and most of those are small, tropical, or both. [Species](#def-b1-classifying-biodiversity-species) have always gone *extinct* — the background rate, from fossils, is about one [species](#def-b1-classifying-biodiversity-species) per million per year — and the present rate, driven by [habitat](https://one-course.com/books/biology/3/en/chapter/26-ecosystems-and-trophic-structure#def-b1-ecosystem-organization-niche) loss, exploitation, invasive [species](#def-b1-classifying-biodiversity-species) and climate, is estimated at a hundred to a thousand times that.

![Described species by group, in thousands (rounded). Half of all named species are insects, and the prokaryotes — the most diverse organisms by any molecular measure — have fewer described species than the mammals and birds together.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/fig-582dae65ae49.svg)

*Described [species](#def-b1-classifying-biodiversity-species) by group, in thousands (rounded). Half of all named [species](#def-b1-classifying-biodiversity-species) are insects, and the prokaryotes — the most diverse [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) by any molecular measure — have fewer described [species](#def-b1-classifying-biodiversity-species) than the mammals and birds together.*

![A museum drawer of pinned beetles: the collection is the inventory, and a drawer like this can hold species no one has yet named.](https://one-course.com/images/onecourse/chapters/biology-3/b1-classifying-biodiversity/img-c768350eda39.jpg)

*A museum drawer of pinned beetles: the collection is the inventory, and a drawer like this can hold [species](#def-b1-classifying-biodiversity-species) no one has yet named.*

**Method 29.13 (Estimating how many species there are).**

1. Count the [species](#def-b1-classifying-biodiversity-species) described in a group and the rate at which new ones are still being added; if the rate is not slowing, the inventory is far from complete.
2. Extrapolate from a well-known group to a poorly known one by a ratio: if the temperate faunas hold two insect [species](#def-b1-classifying-biodiversity-species) per plant [species](#def-b1-classifying-biodiversity-species) , and the tropics have $250\,000$ plants, the tropics hold at least half a million insects.
3. Sample intensively a small area (fogging a tropical tree canopy with insecticide, sequencing the [DNA](https://one-course.com/books/biology/3/en/chapter/11-nucleotides-and-nucleic-acids#def-b1-nucleic-acids-chain) of a litre of sea water) and scale up from the fraction of [species](#def-b1-classifying-biodiversity-species) that are new.
4. Use the pattern across ranks: the numbers of phyla, classes, orders and families are nearly complete and rise regularly toward the [species](#def-b1-classifying-biodiversity-species) level; extrapolating the regularity gives the total (about $8.7$ million eukaryotes).
5. Report the estimate with its range; the honest answer for the prokaryotes is a range of several orders of magnitude.

## 29.5 Exercises

**Exercise 29.1 ★.**

Write the name of the house cat correctly, identify its [genus](#def-b1-classifying-biodiversity-nomenclature) and epithet, and place it in its family, order, class and phylum.

**Solution of Exercise 29.1.**

*Felis catus*: [genus](#def-b1-classifying-biodiversity-nomenclature) *Felis*, epithet *catus*; family Felidae, order Carnivora, class Mammalia, phylum Chordata.

**Exercise 29.2 ★.**

Define [homology](#def-b1-classifying-biodiversity-characters) and [homoplasy](#def-b1-classifying-biodiversity-characters) with an example of each, and say which is evidence for a [clade](#def-b1-classifying-biodiversity-systematics).

**Solution of Exercise 29.2.**

[Homology](#def-b1-classifying-biodiversity-characters): similarity by descent from a common ancestor (the forelimb bones of a bat and a human). [Homoplasy](#def-b1-classifying-biodiversity-characters): similarity by convergence or reversal (the wings of a bat and a bird). Only shared derived [homologies](#def-b1-classifying-biodiversity-characters) are evidence for a [clade](#def-b1-classifying-biodiversity-systematics).

**Exercise 29.3 ★.**

State whether “fish”, “birds” and “warm-blooded animals” are monophyletic, paraphyletic or polyphyletic, with the reason.

**Solution of Exercise 29.3.**

“Fish”: paraphyletic (excludes the tetrapods that descend from fish). Birds: monophyletic (all descendants of one feathered ancestor). “Warm-blooded animals”: polyphyletic (birds and mammals got endothermy separately).

**Exercise 29.4 ★.**

Name the three domains and give two features that separate the Archaea from the Bacteria.

**Solution of Exercise 29.4.**

Bacteria, Archaea, Eukarya. Archaea have ether-linked membrane [lipids](https://one-course.com/books/biology/3/en/chapter/9-lipids#def-b1-lipids-fattyacid) and no [peptidoglycan](https://one-course.com/books/biology/3/en/chapter/10-carbohydrates#def-b1-carbohydrates-polysaccharide); their [RNA polymerase](https://one-course.com/books/biology/3/en/chapter/19-gene-expression-transcription-and-translation#def-b1-gene-expression-transcription) and ribosomal [proteins](https://one-course.com/books/biology/3/en/chapter/12-amino-acids-and-proteins#def-b1-proteins-peptide) resemble the eukaryotes’.

**Exercise 29.5 ★★.**

Why cannot the [biological species concept](#def-b1-classifying-biodiversity-species) be applied to bacteria or to fossils, and what is used instead?

**Solution of Exercise 29.5.**

Bacteria do not interbreed — they divide, and exchange [genes](https://one-course.com/books/biology/3/en/chapter/17-genomes-of-cells-and-viruses#def-b1-genomes-gene) across what would be [species](#def-b1-classifying-biodiversity-species) boundaries — and fossils cannot be tested for interbreeding. Bacteria are delimited by sequence similarity (a threshold on [ribosomal RNA](https://one-course.com/books/biology/3/en/chapter/11-nucleotides-and-nucleic-acids#def-b1-nucleic-acids-rnas) or [genomes](https://one-course.com/books/biology/3/en/chapter/17-genomes-of-cells-and-viruses#def-b1-genomes-genome)); fossils by morphology.

**Exercise 29.6 ★★.**

Three taxa X, Y, Z and an [outgroup](#def-b1-classifying-biodiversity-characters). Character 1 is derived in X and Y; character 2 in Y and Z; character 3 in X and Y; character 4 in X and Y. Draw the two possible trees, compute their lengths, and give the most parsimonious one and its [homoplasy](#def-b1-classifying-biodiversity-characters).

**Solution of Exercise 29.6.**

Tree (X,Y),Z: characters 1, 3, 4 one change each, character 2 two changes: length 5. Tree (Y,Z),X: character 2 one change, characters 1, 3, 4 two each: length 7. (X,Y) is preferred; character 2 is the [homoplasy](#def-b1-classifying-biodiversity-characters).

**Exercise 29.7 ★★.**

Why is an [outgroup](#def-b1-classifying-biodiversity-characters) needed to build a cladogram, and what goes wrong if the [outgroup](#def-b1-classifying-biodiversity-characters) chosen actually belongs inside the group?

**Solution of Exercise 29.7.**

The [outgroup](#def-b1-classifying-biodiversity-characters) fixes the polarity of every character: its state is taken as ancestral, so that only the derived states count as evidence. An [outgroup](#def-b1-classifying-biodiversity-characters) that is really inside the group makes some derived states look ancestral and [roots](https://one-course.com/books/biology/3/en/chapter/3-functional-organization-of-a-flowering-plant#def-b1-flowering-plant-organization-organs) the tree in the wrong place, turning [clades](#def-b1-classifying-biodiversity-systematics) into paraphyletic groups.

**Exercise 29.8 ★★.**

Explain why animals and fungi are considered closer relatives than animals and plants, and what character the opisthokonts share.

**Solution of Exercise 29.8.**

Ribosomal and [protein](https://one-course.com/books/biology/3/en/chapter/12-amino-acids-and-proteins#def-b1-proteins-peptide) sequences place animals and fungi as sister lineages, both within the opisthokonts, whose swimming [cells](https://one-course.com/books/biology/3/en/chapter/5-the-cell-unit-of-life#def-b1-cell-unit-of-life-cell) (sperm, chytrid zoospores) have a single posterior flagellum; plants lie in a separate lineage defined by the primary chloroplast.

**Exercise 29.9 ★★.**

Woese found that methanogens differ from other bacteria as much as from eukaryotes. Why did this justify a new domain rather than a new kingdom within the bacteria?

**Solution of Exercise 29.9.**

A kingdom within the bacteria would imply the methanogens are closer to other bacteria than to eukaryotes; the sequences showed three lineages equally distant from one another, so the prokaryotes were not one group and the deepest division of life was threefold.

**Exercise 29.10 ★★★.**

A tropical tree canopy fogged with insecticide yields 1200 beetle [species](#def-b1-classifying-biodiversity-species), of which $20\,\%$ are specific to that tree [species](#def-b1-classifying-biodiversity-species); beetles are $40\,\%$ of the canopy’s insects, and the canopy holds two thirds of the tree’s insects; there are $50\,000$ tropical tree [species](#def-b1-classifying-biodiversity-species). Estimate the number of tropical insect [species](#def-b1-classifying-biodiversity-species) and list the assumptions.

**Solution of Exercise 29.10.**

Host-specific beetles per tree [species](#def-b1-classifying-biodiversity-species): $0.2\times 1200 = 240$; canopy insects specific to the tree: $240/0.4 = 600$; whole tree: $600/(2/3) = 900$; times $50\,000$ trees: $45$ million. Assumptions: the fogged tree is typical, the specificity is real and not sampling error, beetles are $40\,\%$ of insects on every tree, and [species](#def-b1-classifying-biodiversity-species) specific to one tree are not counted twice — each is uncertain by a factor of two or more, and later estimates have fallen toward $5$ million.

**Exercise 29.11 ★★★.**

A [species](#def-b1-classifying-biodiversity-species) is described from a single museum specimen; later, living [populations](https://one-course.com/books/biology/3/en/chapter/25-populations-and-demography#def-b1-populations-population) are found that differ slightly. Explain the role of the [type specimen](#def-b1-classifying-biodiversity-nomenclature) in deciding what the name applies to, and why priority matters.

**Solution of Exercise 29.11.**

The [type specimen](#def-b1-classifying-biodiversity-nomenclature) is the object the name refers to: the living [populations](https://one-course.com/books/biology/3/en/chapter/25-populations-and-demography#def-b1-populations-population) are the same [species](#def-b1-classifying-biodiversity-species) if they are judged conspecific with the type, and a new [species](#def-b1-classifying-biodiversity-species) if not; in the second case the old name stays with the type and the new [populations](https://one-course.com/books/biology/3/en/chapter/25-populations-and-demography#def-b1-populations-population) need a new name. Priority guarantees that if two names are found to refer to one [species](#def-b1-classifying-biodiversity-species), the older is kept, so that names do not multiply or drift with each new opinion.

**Exercise 29.12 ★★★.**

“[Parsimony](#def-b1-classifying-biodiversity-parsimony) assumes that evolution takes the shortest path.” Discuss: what [parsimony](#def-b1-classifying-biodiversity-parsimony) does assume, when it fails (convergence, fast-evolving lineages), and how molecular data and fossils are used to check a tree.

**Solution of Exercise 29.12.**

[Parsimony](#def-b1-classifying-biodiversity-parsimony) assumes only that convergences and reversals are rarer than shared descent, so that a tree should not be made to require more of them than the data force. It fails when convergence is common (similar [habitats](https://one-course.com/books/biology/3/en/chapter/26-ecosystems-and-trophic-structure#def-b1-ecosystem-organization-niche)), when characters are correlated (one adaptation counted as many), and when fast-evolving lineages accumulate chance similarities and are drawn together (“long branches attract”). Molecular sequences supply many independent characters and models of substitution to test the same tree; fossils supply the order of appearance of the derived states and dates for the splits; agreement among independent data is the test.

## 29.6 Problem: Eight Vertebrates and a Tree

**Problem 29.1.**

Weekend problem — a character matrix of eight vertebrates, its cladogram built by hand, two rival trees scored by parsimony, the traditional groups tested for monophyly, and a species-count estimate, ending on the most parsimonious tree and its length

The matrix scores ten characters (1 = derived state present) for a lamprey ([outgroup](#def-b1-classifying-biodiversity-characters)), a shark, a trout, a lungfish, a frog, a lizard, a mouse and a pigeon.

|  | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
|  | jaws | bony skeleton | [lungs](https://one-course.com/books/biology/3/en/chapter/21-respiratory-gas-exchange#def-b1-gas-exchange-lung) | four limbs | amniotic egg | hair | feathers | diapsid skull | endothermy | keratin scales |
| lamprey | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| shark | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| trout | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| lungfish | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| frog | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| lizard | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 |
| mouse | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 |
| pigeon | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 |

**Part I — Reading the matrix.**

1. Which characters are shared by all taxa but the [outgroup](#def-b1-classifying-biodiversity-characters) ? What do they tell about the tree?
2. List the characters in order of the number of taxa that share the derived state, and say which [clade](#def-b1-classifying-biodiversity-systematics) each defines.
3. Which characters are present in a single [taxon](#def-b1-classifying-biodiversity-nomenclature) ? Are they of any use in placing that [taxon](#def-b1-classifying-biodiversity-nomenclature) ?
4. Which pair of characters conflict with each other, and among which three taxa?
5. State the polarity of character 3 ( [lungs](https://one-course.com/books/biology/3/en/chapter/21-respiratory-gas-exchange#def-b1-gas-exchange-lung) ) and explain how the [outgroup](#def-b1-classifying-biodiversity-characters) fixes it.
6. How many distinct rooted trees can relate the three amniotes to one another, once the rest of the tree is fixed? Which characters bear on the choice?

**Part II — Building the tree.**

7. Draw the cladogram implied by characters 1 to 5: the nested [clades](#def-b1-classifying-biodiversity-systematics) from jaws to the amniotic egg.
8. Within the amniotes, draw tree A, in which the lizard and the pigeon are sister taxa, and tree B, in which the mouse and the pigeon are sisters.
9. Compute the length of tree A: for each of the ten characters, the minimum number of changes it requires.
10. Compute the length of tree B likewise.
11. Which tree is most parsimonious, and by how much?
12. Name the homoplastic character on the preferred tree and describe its evolutionary interpretation.
13. If characters 8 and 10 were removed, what would the two lengths be, and what would you conclude?

**Part III — Groups on the tree.**

14. On the preferred tree, is the group (shark, trout, lungfish) — the “fish” — monophyletic? Which [taxon](#def-b1-classifying-biodiversity-nomenclature) would have to be added?
15. Is (lizard, mouse, pigeon), the amniotes, monophyletic? Name its [synapomorphy](#def-b1-classifying-biodiversity-characters) .
16. Is (lizard) alone plus the crocodiles and turtles — the traditional “reptiles” — monophyletic once the pigeon is placed? What kind of group is it?
17. Is (mouse, pigeon), grouped by endothermy, a [clade](#def-b1-classifying-biodiversity-systematics) ? What kind of group is it?
18. The lungfish is often called a fish. On the tree, is it closer to the trout or to the frog? Which character decides?
19. Give the ranks that the three amniotes would occupy in a Linnaean classification, and explain why the ranks convey no information about the depth of their splits.

**Part IV — The inventory.**

20. About $70\,000$ vertebrate [species](#def-b1-classifying-biodiversity-species) are described and the rate of new descriptions is $300$ a year for fishes and $20$ for mammals. Which inventory is nearer completion?
21. A survey of the [DNA](https://one-course.com/books/biology/3/en/chapter/11-nucleotides-and-nucleic-acids#def-b1-nucleic-acids-chain) in $1\,\mathrm{L}$ of seawater finds $2000$ distinct ribosomal sequences, of which $90\,\%$ match no described [organism](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) . What does this imply for the prokaryote inventory?
22. If the background [extinction](#def-b1-classifying-biodiversity-biodiversity) rate is one [species](#def-b1-classifying-biodiversity-species) per million per year and there are $9$ million eukaryote [species](#def-b1-classifying-biodiversity-species) , how many should go extinct a year? The observed rate for well-studied groups is about $1000$ times higher: how many per year does that give for all eukaryotes?
23. Why is a [species](#def-b1-classifying-biodiversity-species) that goes extinct before being described a loss for [systematics](#def-b1-classifying-biodiversity-systematics) as well as for the [ecosystem](https://one-course.com/books/biology/3/en/chapter/26-ecosystems-and-trophic-structure#def-b1-ecosystem-organization-ecosystem) ?
24. Explain why the number of described families is a better guide to the total than the number of described [species](#def-b1-classifying-biodiversity-species) .
25. State the result: the most parsimonious tree of the eight vertebrates, written in nested parentheses, and its length.

**Solution of Problem 29.1.**

**1.** Character 1, jaws: shared by all but the lamprey, so it defines the ingroup and confirms the lamprey as [outgroup](#def-b1-classifying-biodiversity-characters). **2.** 1 (7 taxa: jawed vertebrates), 2 (6: bony vertebrates), 3 (5: lungfish and tetrapods), 4 (4: tetrapods), 5 (3: amniotes), 8, 9 and 10 (2 each: lizard+pigeon, mouse+pigeon, lizard+pigeon), 6 and 7 (1 each). **3.** Hair (mouse) and feathers (pigeon): unique states, autapomorphies, which diagnose the [taxon](#def-b1-classifying-biodiversity-nomenclature) but say nothing about its relatives. **4.** Character 9 (endothermy: mouse+pigeon) conflicts with 8 and 10 (lizard+pigeon); the conflict is among the three amniotes. **5.** Absence of [lungs](https://one-course.com/books/biology/3/en/chapter/21-respiratory-gas-exchange#def-b1-gas-exchange-lung) is ancestral (the lamprey, shark and trout lack them), presence derived; the [outgroup](#def-b1-classifying-biodiversity-characters)’s state is taken as ancestral. **6.** Three: any one of the three can be the odd one out — (lizard,pigeon) with mouse outside, (mouse,pigeon) with lizard outside, (lizard,mouse) with pigeon outside. Only characters 8, 9 and 10 differ among the three, so only they bear on the choice. **7.** (lamprey,(shark,(trout,(lungfish,(frog,(lizard, mouse, pigeon)))))), each node marked by one character. **8.** Tree A: (mouse,(lizard,pigeon)); tree B: (lizard,(mouse, pigeon)). **9.** Tree A: characters 1–8 and 10 one change each (9), character 9 two changes: length $11$. **10.** Tree B: characters 1–7 and 9 one each (8), characters 8 and 10 two each: length $12$. **11.** Tree A, by one step. **12.** Endothermy: it arose twice, once in the mammal line and once in the bird line — a convergence, consistent with their different mechanisms (fur and sweat versus feathers and air sacs). **13.** Without 8 and 10: tree A length 9 (endothermy twice), tree B length 8 (all consistent): B would be preferred. The conclusion depends on the characters chosen; with few characters one [homoplasy](#def-b1-classifying-biodiversity-characters) can tip the result, which is why many characters, and molecular ones, are needed. **14.** No: their common ancestor is also the ancestor of the tetrapods, so all four tetrapods would have to be added. **15.** Yes: the amniotic egg. **16.** No: the pigeon descends from within the reptiles (it is sister to the lizard here, and to the crocodiles in fuller trees), so reptiles without birds are paraphyletic. **17.** No: their nearest common ancestor is the ancestor of all amniotes, which was not endothermic; polyphyletic, grouped by a convergent character. **18.** Closer to the frog: it shares [lungs](https://one-course.com/books/biology/3/en/chapter/21-respiratory-gas-exchange#def-b1-gas-exchange-lung) (character 3) with the tetrapods, which the trout lacks; “fish” without the tetrapods is paraphyletic. **19.** Class Reptilia, class Mammalia, class Aves: three classes of equal rank, though the lizard–pigeon split is far more recent than the split of either from the mammals; ranks are conventions, and equal rank does not mean equal age or equal distinctness. **20.** Mammals: $20$ new a year on $6500$ ($0.3\,\%$); fishes: $300$ on $35\,000$ ($0.9\,\%$) — the mammal inventory is nearer completion, the fish inventory still growing fast. **21.** Nine tenths of the sequences belong to [organisms](https://one-course.com/books/biology/3/en/chapter/1-the-organism-a-system-in-interaction-with-its-environment#def-b1-organism-environment-organism) never cultured or named: the described prokaryotes are a small fraction of those in even one litre of water, and the inventory is barely begun. **22.** Background: $9$ a year. A thousandfold: $9000$ a year — most of them [species](#def-b1-classifying-biodiversity-species) never described. **23.** Its characters, sequence and place on the tree are lost with it; a branch of the tree of life is erased before it was drawn, and any [clade](#def-b1-classifying-biodiversity-systematics) it alone would have defined goes with it. **24.** Families are large, conspicuous and nearly all described (new families are now rare), so their count is close to complete; the regular ratio of [species](#def-b1-classifying-biodiversity-species) to genera to families across the well-known groups then lets the family count be extrapolated to [species](#def-b1-classifying-biodiversity-species) where the [species](#def-b1-classifying-biodiversity-species) count is not complete. **25.** (lamprey,(shark,(trout,(lungfish,(frog,(mouse,(lizard, pigeon))))))), length $11$.