---
title: "Sexual Reproduction of Flowering Plants"
book: "University Biology — Year 2"
subject: biology
language: en
chapter: 6
exercises: 12
source: https://one-course.com/books/biology/4/en/chapter/6-sexual-reproduction-of-flowering-plants
---

# Chapter 6 — Sexual Reproduction of Flowering Plants

An apple orchard in May is white with blossom and loud with bees; in October the same trees are heavy with [fruit](#def-b2-angiosperm-reproduction-seed), each apple holding ten [seeds](#def-b2-angiosperm-reproduction-seed), each [seed](#def-b2-angiosperm-reproduction-seed) an embryo tree wrapped in a store of food. The whole of that transformation — the [flower](#def-b2-angiosperm-reproduction-flower), the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) carried by an insect, the tube that grows through the style, the [double fertilisation](#prop-b2-angiosperm-reproduction-double) that makes at once an embryo and its food supply, the [ovary](#def-b2-angiosperm-reproduction-flower) that swells into a [fruit](#def-b2-angiosperm-reproduction-seed) built to be eaten — is the invention that made the flowering plants, in a hundred million years, the dominant plants of the land. This chapter takes it from the [flower](#def-b2-angiosperm-reproduction-flower) to the dispersed [seed](#def-b2-angiosperm-reproduction-seed).

## 6.1 The flower

**Definition 6.1 (The parts of a flower).**

A *flower* is a short shoot whose leaves are transformed into four whorls. Outside, the *sepals* (together the calyx) protect the bud; then the *petals* (the corolla), which advertise; then the *stamens*, each a filament bearing an *anther* with four [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) sacs; and at the centre one or more *carpels*, each folded and sealed into a *pistil* with a receptive *stigma*, a *style*, and an *ovary* enclosing the *[ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory)*. A flower with both stamens and carpels is *hermaphrodite* (most species); *monoecious* plants bear separate male and female flowers on one individual (maize, oak, hazel), *dioecious* species on separate individuals (holly, willow, date palm). The whole point of the closed carpel — the character that names the angiosperms — is that the [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) are enclosed: [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) never reaches them directly, but must grow to them through the plant’s tissue, which lets the plant choose.

![A flower in longitudinal section: sepals, petals, stamens (filament and anther) and, at the centre, the carpel — stigma, style and ovary — enclosing the ovules.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/fig-67907323a923.svg)

*A [flower](#def-b2-angiosperm-reproduction-flower) in longitudinal section: sepals, petals, [stamens](#def-b2-angiosperm-reproduction-flower) (filament and anther) and, at the centre, the [carpel](#def-b2-angiosperm-reproduction-flower) — [stigma](#def-b2-angiosperm-reproduction-flower), style and [ovary](#def-b2-angiosperm-reproduction-flower) — enclosing the [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory).*

![A lily cut lengthwise: six stamens with pollen-laden anthers, the long style with its sticky stigma, and the ovary opened to show the rows of ovules.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/img-fa9f2029c88f.jpg)

*A lily cut lengthwise: six [stamens](#def-b2-angiosperm-reproduction-flower) with pollen-laden anthers, the long style with its sticky [stigma](#def-b2-angiosperm-reproduction-flower), and the [ovary](#def-b2-angiosperm-reproduction-flower) opened to show the rows of [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory).*

## 6.2 The two gametophytes

**Proposition 6.2 (Pollen: the male gametophyte).**

In each [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) sac, [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) mother cells undergo [meiosis](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) to give tetrads of *[microspores](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory)*. Each [microspore](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) divides once, unequally, into a large *vegetative cell* and a small *generative cell* enclosed within it; the generative cell divides once more, before or after [pollination](#def-b2-angiosperm-reproduction-pollination), into two *sperm cells*. The mature *[pollen grain](#prop-b2-angiosperm-reproduction-pollen)* is thus a three-celled [haploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) organism — the whole male [gametophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles) — of $10\text{ to }100\,\text{µ}\mathrm{m}$, sealed in a wall whose outer layer of *sporopollenin*, the most resistant biological polymer known, is sculpted with spines, pores and furrows characteristic of the species, which is why [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) identifies plants in sediments tens of millions of years old. The grain is shed dehydrated, and survives hours (grasses) to weeks (some trees) until it reaches a [stigma](#def-b2-angiosperm-reproduction-flower).

![Pollen grains under the scanning electron microscope: the sporopollenin wall of each species has its own sculpture — spines, furrows, pores, a net — by which it can be recognised.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/img-102ffa32a931.jpg)

*[Pollen grains](#prop-b2-angiosperm-reproduction-pollen) under the scanning electron microscope: the sporopollenin wall of each species has its own sculpture — spines, furrows, pores, a net — by which it can be recognised.*

**Proposition 6.3 (The embryo sac: the female gametophyte).**

In each [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory), one [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) cell of the nucellus undergoes [meiosis](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis); three of the four [megaspores](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) degenerate and the fourth grows, by three mitoses without cell division, into an eight-nucleate, seven-celled *[embryo sac](#prop-b2-angiosperm-reproduction-embryosac)*: at the micropylar end the *egg* flanked by two *synergids*; at the far end three *antipodal* cells; in the middle a large *central cell* containing two *[polar nuclei](#prop-b2-angiosperm-reproduction-embryosac)*. This sac, wrapped in the nucellus and two integuments with a micropyle, is the entire female [gametophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles) — seven cells where a [moss](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-moss) had a plant. The two [polar nuclei](#prop-b2-angiosperm-reproduction-embryosac) are genetically identical to the egg, a fact that matters for the endosperm.

![The two gametophytes of a flowering plant, both reduced to a few cells: the three-celled pollen grain, and the seven-celled embryo sac inside the ovule.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/fig-e1138caa88ce.svg)

*The two [gametophytes](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles) of a flowering plant, both reduced to a few cells: the three-celled [pollen grain](#prop-b2-angiosperm-reproduction-pollen), and the seven-celled [embryo sac](#prop-b2-angiosperm-reproduction-embryosac) inside the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory).*

## 6.3 Pollination

**Definition 6.4 (Pollination and its agents).**

*Pollination* is the transfer of [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) from an anther to a [stigma](#def-b2-angiosperm-reproduction-flower); *self-pollination* within one [flower](#def-b2-angiosperm-reproduction-flower) or plant, *cross-pollination* between plants. *Wind-pollinated* [flowers](#def-b2-angiosperm-reproduction-flower) (grasses, oaks, birches, plantains) are small, green, scentless, with large feathery [stigmas](#def-b2-angiosperm-reproduction-flower) and enormous quantities of smooth, dry [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory); their pollen-to-ovule ratio runs to a million. *Animal-pollinated* [flowers](#def-b2-angiosperm-reproduction-flower) pay their carrier: *nectar* (sugar solution from nectaries), [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) itself, oils, scent; and they advertise with colour, shape and smell tuned to the carrier’s senses — ultraviolet nectar guides for bees, which see ultraviolet and not red; red tubular [flowers](#def-b2-angiosperm-reproduction-flower) without scent for hummingbirds; white, heavily scented, night-opening [flowers](#def-b2-angiosperm-reproduction-flower) with deep tubes for moths; brown, foetid [flowers](#def-b2-angiosperm-reproduction-flower) for carrion flies; sturdy, pale, night [flowers](#def-b2-angiosperm-reproduction-flower) for bats. Each such set of traits is a *pollination syndrome*, and the fit between [flower](#def-b2-angiosperm-reproduction-flower) and pollinator is the textbook case of *coevolution*: Darwin predicted from a Madagascan orchid’s $30\,\mathrm{cm}$ nectar spur a moth with a $30\,\mathrm{cm}$ tongue, found forty years later.

![A honeybee on a thistle: pollen dusts its body and packs its hind-leg baskets; some of it will reach the stigma of the next thistle it visits. Purple, a landing platform and abundant nectar are the bee syndrome.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/img-afd68ca83927.jpg)

*A honeybee on a thistle: [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) dusts its body and packs its hind-leg baskets; some of it will reach the [stigma](#def-b2-angiosperm-reproduction-flower) of the next thistle it visits. Purple, a landing platform and abundant [nectar](#def-b2-angiosperm-reproduction-pollination) are the bee syndrome.*

**Proposition 6.5 (Avoiding self-fertilisation).**

A hermaphrodite [flower](#def-b2-angiosperm-reproduction-flower) could fertilise itself, and many do (peas, wheat, tomatoes); but selfing exposes [recessive](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) deleterious [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) (*inbreeding depression*), and most species prevent it. In time: *dichogamy*, anthers and [stigma](#def-b2-angiosperm-reproduction-flower) maturing at different times (protandry in most umbellifers and composites). In space: *herkogamy*, anthers and [stigma](#def-b2-angiosperm-reproduction-flower) held apart, as in the *heterostyly* of primroses, whose pin [flowers](#def-b2-angiosperm-reproduction-flower) (long style, low anthers) and thrum [flowers](#def-b2-angiosperm-reproduction-flower) (short style, high anthers) place [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) on different parts of an insect. Biochemically: *self-incompatibility*, a recognition system in which [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) carrying an $S$ [allele](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) shared with the pistil is rejected. In *gametophytic* incompatibility (apples, cherries, petunias, grasses) the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory)’s own [haploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) $S$ [allele](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) decides: a pistil $S_1S_2$ stops $S_1$ and $S_2$ tubes in the style, so that [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) from an $S_1S_3$ plant is half compatible and from $S_3S_4$ wholly. In *sporophytic* incompatibility (cabbages, sunflowers) the [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) [genotype](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) of the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory)’s parent decides, on the [stigma](#def-b2-angiosperm-reproduction-flower) surface. A rare $S$ [allele](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) is compatible with almost every partner, so selection keeps dozens of [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) in a population.

**Evidence.** Darwin (1862, 1877) crossed primroses by hand: [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) from a thrum [flower](#def-b2-angiosperm-reproduction-flower) on a pin [stigma](#def-b2-angiosperm-reproduction-flower) (a “legitimate” union) set full capsules; pin on pin or thrum on thrum (“illegitimate”) set few [seeds](#def-b2-angiosperm-reproduction-seed) or none, though the plants were healthy and the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) alive. He concluded that the two forms were mutually adapted to cross and protected from selfing, and by counting [seeds](#def-b2-angiosperm-reproduction-seed) per capsule in thousands of crosses he measured the cost of self-fertilisation in dozens of species: selfed offspring were shorter, lighter and less fertile, generation after generation. ∎

![Gametophytic self-incompatibility. On an S_1S_2 pistil, tubes carrying S_1 or S_2 are arrested in the style; an S_3 tube grows to the ovary.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/fig-16fe67da2219.svg)

*Gametophytic self-incompatibility. On an $S_1S_2$ pistil, tubes carrying $S_1$ or $S_2$ are arrested in the style; an $S_3$ tube grows to the [ovary](#def-b2-angiosperm-reproduction-flower).*

## 6.4 Fertilisation

**Theorem 6.6 (The pollen tube).**

A [pollen grain](#prop-b2-angiosperm-reproduction-pollen) on a compatible [stigma](#def-b2-angiosperm-reproduction-flower) rehydrates and grows a *[pollen tube](#thm-b2-angiosperm-reproduction-tube)*: the vegetative cell extends by tip growth, laying down new wall at the apex at a rate of $0.1\text{ to }1\,\mathrm{cm}/\mathrm{h}$, digesting its way through the transmitting tissue of the style and feeding on it. The tube carries the two sperm cells at its tip; it is guided the last distance by peptides secreted by the synergids, enters the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) through the micropyle, bursts into one synergid, and releases the sperm. A tube crossing a style of length $L$ at speed $v$ takes $L/v$: a few hours in a cherry, a full day in maize, whose “silks” are styles $20\,\mathrm{cm}$ long. [Pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) viability sets a clock: grass [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) dies in hours, so a [stigma](#def-b2-angiosperm-reproduction-flower) must be reached quickly.

**Proof.** The time is the length divided by the growth rate; for maize, $20\,\mathrm{cm}$ at $1\,\mathrm{cm}/\mathrm{h}$ gives $20\,\mathrm{h}$. The tube itself consists almost entirely of wall and a thin film of cytoplasm behind the tip, so that the vegetative cell’s reserves, plus what it absorbs from the style, suffice for a length a thousand times the grain’s diameter. ∎

**Proposition 6.7 (Double fertilisation).**

Of the two sperm cells delivered by the tube, one fuses with the egg to form the [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) *zygote*, from which the embryo grows; the other fuses with the central cell and its two [polar nuclei](#prop-b2-angiosperm-reproduction-embryosac) to form a *triploid* nucleus ($3n$: two maternal genomes, one paternal), from which the *endosperm* grows — a nutritive tissue that fills the [seed](#def-b2-angiosperm-reproduction-seed) with starch, oil and protein. Both fertilisations happen within minutes of each other; neither succeeds without the other in most species, so that a plant provisions only those [seeds](#def-b2-angiosperm-reproduction-seed) that carry an embryo. The endosperm is the tissue that feeds humanity: the flour of wheat and rice, the meal of maize, the white of a coconut are triploid endosperm. In gymnosperms the [seed](#def-b2-angiosperm-reproduction-seed)’s food store is the female [gametophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles), built before fertilisation whether or not an embryo follows; the angiosperm’s endosperm is made to order.

**Evidence.** Nawaschin (1898), following the [pollen tube](#thm-b2-angiosperm-reproduction-tube) of a lily and a fritillary into the [embryo sac](#prop-b2-angiosperm-reproduction-embryosac) under the microscope, saw both sperm nuclei leave the tube, one entering the egg and the other fusing with the [polar nuclei](#prop-b2-angiosperm-reproduction-embryosac); Guignard confirmed it the next year in other species. The triploidy of the endosperm followed from chromosome counts, and its genetic consequences — a kernel’s endosperm showing the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) parent’s traits (*xenia*), in the ratio two maternal doses to one paternal — had been noticed by breeders of maize long before. ∎

![Double fertilisation: one sperm makes the diploid zygote, the other the triploid endosperm.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/fig-78b71baada8e.svg)

*[Double fertilisation](#prop-b2-angiosperm-reproduction-double): one sperm makes the [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) zygote, the other the triploid endosperm.*

## 6.5 Seed and fruit

**Definition 6.8 (From ovule to seed, from ovary to fruit).**

The zygote divides into a suspensor, which pushes the embryo into the endosperm, and an embryo proper that passes through globular, heart and torpedo stages as it lays down the root and shoot poles and one or two *cotyledons* (seed leaves) — the monocot–dicot distinction. In many dicots (beans, peas) the growing cotyledons absorb the endosperm and become the food store themselves; in cereals and most monocots the endosperm persists and the single cotyledon is a sucking organ. The integuments harden into the *seed coat*; the seed dehydrates to $5\text{ to }15\,\%$ water, metabolism stops, and it enters *dormancy*, which ends only when a signal — water, cold, light, fire, the passage through a gut — says the season is right. Meanwhile the [ovary](#def-b2-angiosperm-reproduction-flower) wall grows into the *fruit*, whose form is a dispersal strategy: dry fruits that split (pods, capsules) or do not (grains, nuts, winged samaras), fleshy fruits that are eaten (berries, drupes with a stone, the apple, whose flesh is receptacle); the seed passes through the animal unharmed, its coat scarified, and is deposited with fertiliser kilometres away.

**Evidence.** The cereal grain shows how germination is controlled. The embryo, on imbibing water, secretes gibberellin into the surrounding endosperm; the outer layer of the endosperm, the aleurone, responds by making and secreting $\alpha$-amylase, which digests the starch into sugars the embryo absorbs. Half-grains without an embryo make no amylase; add gibberellin to them and they do (Paleg, Yomo, 1960); the hormone acts by switching on the amylase gene, one of the first cases in which a plant hormone was traced to a gene. Brewers have used the process for millennia: malting is barley made to germinate and then dried. ∎

![Embryogenesis in a dicot: the zygote divides into an embryo and a suspensor; the globular embryo becomes heart-shaped as the two cotyledons emerge, then torpedo-shaped as the root–shoot axis extends.](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/fig-c28883593a45.svg)

*Embryogenesis in a dicot: the zygote divides into an embryo and a suspensor; the globular embryo becomes heart-shaped as the two [cotyledons](#def-b2-angiosperm-reproduction-seed) emerge, then torpedo-shaped as the root–shoot axis extends.*

![Fruits built for dispersal: parachutes (dandelion), hooks (burdock), wings (maple), flesh for an animal (apple), and a buoyant husk for the sea (coconut).](https://one-course.com/images/onecourse/chapters/biology-4/b2-angiosperm-reproduction/img-c222c5fd9bb8.jpg)

*[Fruits](#def-b2-angiosperm-reproduction-seed) built for dispersal: parachutes (dandelion), hooks (burdock), wings (maple), flesh for an animal (apple), and a buoyant husk for the sea (coconut).*

**Example 6.9 (Dispersal distances).**

A dandelion achene with its parachute descends at $0.3\,\mathrm{m}/\mathrm{s}$; from $0.3\,\mathrm{m}$ in a $3\,\mathrm{m}/\mathrm{s}$ wind it flies $3\,\mathrm{m}$, and in a thermal, hundreds. A maple samara autorotates down at $1\,\mathrm{m}/\mathrm{s}$ from $15\,\mathrm{m}$: $45\,\mathrm{m}$. A cherry stone dropped by a bird after a twenty-minute flight at $10\,\mathrm{m}/\mathrm{s}$: up to $12\,\mathrm{km}$. An oak’s acorns fall at its foot unless a jay carries them, which it does by the thousand, a kilometre and more, and forgets a tenth of them: the oaks that recolonised Europe after the last ice age moved north at hundreds of metres a year, far faster than an acorn rolls, and it was the birds that moved them.

## 6.6 Exercises

**Exercise 6.1 ★.**

Name the four whorls of a [flower](#def-b2-angiosperm-reproduction-flower) and the parts of a [stamen](#def-b2-angiosperm-reproduction-flower) and of a [carpel](#def-b2-angiosperm-reproduction-flower). Which parts are [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) [sporophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles), which are [haploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) [gametophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles)?

**Solution of Exercise 6.1.**

Sepals (calyx), petals (corolla), [stamens](#def-b2-angiosperm-reproduction-flower) (androecium), [carpels](#def-b2-angiosperm-reproduction-flower) (gynoecium). [Stamen](#def-b2-angiosperm-reproduction-flower): filament and anther. [Carpel](#def-b2-angiosperm-reproduction-flower): [stigma](#def-b2-angiosperm-reproduction-flower), style, [ovary](#def-b2-angiosperm-reproduction-flower) with [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory). All these are [diploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) [sporophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles); only the [pollen grain](#prop-b2-angiosperm-reproduction-pollen) (inside the anther) and the [embryo sac](#prop-b2-angiosperm-reproduction-embryosac) (inside the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory)) are [haploid](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-meiosis) [gametophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles).

**Exercise 6.2 ★.**

Give the ploidy of: a [microspore](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory), the vegetative cell, a sperm cell, the egg, a polar nucleus, the zygote, the endosperm, the [seed coat](#def-b2-angiosperm-reproduction-seed), the [fruit](#def-b2-angiosperm-reproduction-seed) wall.

**Solution of Exercise 6.2.**

[Microspore](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) $n$; vegetative cell $n$; sperm $n$; egg $n$; polar nucleus $n$; zygote $2n$; endosperm $3n$; [seed coat](#def-b2-angiosperm-reproduction-seed) $2n$ (maternal integuments); [fruit](#def-b2-angiosperm-reproduction-seed) wall $2n$ (maternal [ovary](#def-b2-angiosperm-reproduction-flower)).

**Exercise 6.3 ★.**

List five traits of a wind-pollinated [flower](#def-b2-angiosperm-reproduction-flower) and five of a bee-pollinated one, and give a plant for each.

**Solution of Exercise 6.3.**

Wind (grasses, oak, birch, hazel, plantain): small green [flowers](#def-b2-angiosperm-reproduction-flower), no petals or scent or [nectar](#def-b2-angiosperm-reproduction-pollination), anthers dangling on long filaments, feathery [stigmas](#def-b2-angiosperm-reproduction-flower), vast amounts of smooth dry [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory), flowering before the leaves. Bee (clover, sage, foxglove, lavender, apple): coloured petals often with ultraviolet guides, landing platform, scent, [nectar](#def-b2-angiosperm-reproduction-pollination), sticky sculptured [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) in moderate amounts, flowering in daylight.

**Exercise 6.4 ★.**

What is [double fertilisation](#prop-b2-angiosperm-reproduction-double), and what is made by each of the two fusions? Why can the endosperm be called “made to order”?

**Solution of Exercise 6.4.**

The two sperm cells of one [pollen tube](#thm-b2-angiosperm-reproduction-tube) fuse, one with the egg (zygote, $2n$, the embryo) and one with the central cell (endosperm nucleus, $3n$, the food store). The endosperm begins to grow only after fertilisation, so the plant provisions only [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) that hold an embryo, unlike the gymnosperm, which builds its food store before.

**Exercise 6.5 ★★.**

A maize silk is $25\,\mathrm{cm}$ long and a [pollen tube](#thm-b2-angiosperm-reproduction-tube) grows at $1.2\,\mathrm{cm}/\mathrm{h}$. How long does fertilisation take after [pollination](#def-b2-angiosperm-reproduction-pollination)? A tassel sheds [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) from day 0 to day 7 and the plant’s silks emerge from day 5 to day 12, one eighth of them each day; a silk catches [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) only while [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) is shed. What fraction of the silks is pollinated?

**Solution of Exercise 6.5.**

$25/1.2 = 21\,\mathrm{h}$. Silks emerging on days 5, 6 and 7 meet [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory); those of days 8 to 12 do not: $3/8$ of the silks are pollinated, and the ear is five-eighths barren.

**Exercise 6.6 ★★.**

Under gametophytic self-incompatibility, what fraction of [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) is compatible in the crosses $S_1S_2\times S_1S_2$, $S_1S_2\times
S_1S_3$, $S_1S_2\times S_3S_4$ (pistil listed first)? Give the [genotypes](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) of the offspring of the second cross.

**Solution of Exercise 6.6.**

$S_1S_2\times S_1S_2$: 0. $S_1S_2\times S_1S_3$: $\tfrac12$ (only $S_3$ [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) grows). $S_1S_2\times S_3S_4$: all. Offspring of the second cross: eggs $S_1$ or $S_2$, sperm $S_3$: $S_1S_3$ and $S_2S_3$, half each.

**Exercise 6.7 ★★.**

In a population with $n$ equally frequent $S$ [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary), what fraction of random [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) is compatible with a given plant? Explain why a new $S$ [allele](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) arising by [mutation](https://one-course.com/books/biology/4/en/chapter/3-mutations-and-genome-diversification#def-b2-genome-diversification-mutation) spreads, and what this predicts for the number of [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary).

**Solution of Exercise 6.7.**

A plant carries 2 of the $n$ [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) and rejects [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) bearing either: compatible fraction $(n - 2)/n$. A new [allele](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) is rejected by no pistil, so its [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) sires more [seeds](#def-b2-angiosperm-reproduction-seed) than average and it spreads until it is as common as the rest; the same advantage protects every rare [allele](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) from loss. Selection therefore accumulates [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary), and natural populations of self-incompatible species carry dozens.

**Exercise 6.8 ★★.**

A maize plant [heterozygous](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) $Yy$ (yellow endosperm [dominant](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary)) is selfed. Give the endosperm [genotypes](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) of its kernels and their proportions, remembering that the two [polar nuclei](#prop-b2-angiosperm-reproduction-embryosac) are identical. What fraction of kernels are yellow? What if the plant is pollinated by a $yy$ plant?

**Solution of Exercise 6.8.**

The two [polar nuclei](#prop-b2-angiosperm-reproduction-embryosac) are copies of one [megaspore](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory), so the central cell is $YY$ or $yy$ (half each); the sperm is $Y$ or $y$ (half each): endosperm $YYY$, $YYy$, $Yyy$, $yyy$ at $\tfrac14$ each; three quarters yellow. Pollinated by $yy$: $YYy$ and $yyy$, half each — half the kernels yellow.

**Exercise 6.9 ★★.**

Describe the aleurone experiment and explain what it shows about (a) the role of the embryo, (b) the role of gibberellin, (c) the site of amylase synthesis. Why is a half-grain without an embryo the essential control?

**Solution of Exercise 6.9.**

Barley grains are cut in half; the embryo-bearing halves digest their starch, the embryo-less halves do not, unless gibberellin is added, when they do. (a) The embryo is the source of the signal, not of the enzyme. (b) Gibberellin is the signal, sufficient by itself. (c) The amylase is made by the aleurone layer of the endosperm, which responds to the hormone. The embryo-less half separates signal from response: without it one could not tell whether the embryo digests the starch itself.

**Exercise 6.10 ★★★.**

Compare the wind and animal strategies in cost: a wind-pollinated plant makes $10^{6}$ grains per [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) at $1\,\text{µ}\mathrm{g}$ each; an animal-pollinated plant makes $10^{3}$ grains per [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) at $1\,\text{µ}\mathrm{g}$ each plus $5\,\mathrm{mg}$ of [nectar](#def-b2-angiosperm-reproduction-pollination) sugar per [flower](#def-b2-angiosperm-reproduction-flower) of ten [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory). Compute the reproductive cost per [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) in each case (take [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) and sugar at the same energy per gram), and explain why wind [pollination](#def-b2-angiosperm-reproduction-pollination) nevertheless persists.

**Solution of Exercise 6.10.**

Wind: $10^{6}\times1\,\text{µ}\mathrm{g} = 1\,\mathrm{g}$ per [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory). Animal: $1\,\mathrm{mg}$ of [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) plus $0.5\,\mathrm{mg}$ of sugar $= 1.5\,\mathrm{mg}$ per [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) — about seven hundred times cheaper. Wind [pollination](#def-b2-angiosperm-reproduction-pollination) needs no partner: it works in early spring before insects fly, in cold, windy and open places, at night and in rain, in dense stands of one species, and it cannot be cheated by [nectar](#def-b2-angiosperm-reproduction-pollination) thieves or abandoned by a pollinator that goes extinct.

**Exercise 6.11 ★★★.**

Explain, with the numbers of [Example 6.9](#ex-b2-angiosperm-reproduction-dispersal), why a fleshy [fruit](#def-b2-angiosperm-reproduction-seed) is worth its cost to a tree even though the animal digests the flesh and drops most [seeds](#def-b2-angiosperm-reproduction-seed) where they cannot grow.

**Solution of Exercise 6.11.**

[Seeds](#def-b2-angiosperm-reproduction-seed) falling at the foot of the parent land in its shade, among its roots, and where its specific [seed](#def-b2-angiosperm-reproduction-seed) predators and pathogens concentrate; almost all die. A bird carries a [seed](#def-b2-angiosperm-reproduction-seed) kilometres ($12\,\mathrm{km}$ in twenty minutes) and drops it, with fertiliser, in a hedge or a clearing; even if only one [seed](#def-b2-angiosperm-reproduction-seed) in a hundred lands in a good site, that is more than all the [seeds](#def-b2-angiosperm-reproduction-seed) under the tree, and the population spreads at the speed of birds, not of falling [fruit](#def-b2-angiosperm-reproduction-seed). The flesh is the price of the ticket.

**Exercise 6.12 ★★★.**

“The closed [carpel](#def-b2-angiosperm-reproduction-flower) is the reason flowering plants dominate the land.” Discuss: what the enclosure of the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) makes possible (choice of [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory), incompatibility, the [fruit](#def-b2-angiosperm-reproduction-seed)) and what it costs.

**Solution of Exercise 6.12.**

Enclosure makes the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) grow through maternal tissue, which allows the pistil to test it (self-incompatibility, rejection of foreign species), to let many tubes compete so the fastest sires the [seed](#def-b2-angiosperm-reproduction-seed), to protect [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) from drying and from herbivores, and to turn the [ovary](#def-b2-angiosperm-reproduction-flower) into a [fruit](#def-b2-angiosperm-reproduction-seed) that recruits animals for dispersal; [double fertilisation](#prop-b2-angiosperm-reproduction-double) then provisions only fertilised [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory). The costs: a [pollen grain](#prop-b2-angiosperm-reproduction-pollen) must reach a [stigma](#def-b2-angiosperm-reproduction-flower) rather than the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) itself, so a style, a tube and its guidance are needed, and the [fruit](#def-b2-angiosperm-reproduction-seed) is a heavy investment. The balance favoured angiosperms so strongly that they went from nothing to nine tenths of plant species in a hundred million years.

## 6.7 Problem: An Orchard and a Field

**Problem 6.1.**

Weekend problem — an apple orchard’s pollination planned around self-incompatibility, and a maize field’s fertilisation and yield computed from the pollen it makes, ending on the orchard’s fruit set and the field’s kernel count

Apple is gametophytically self-incompatible. An orchard has three varieties: A ($S_1S_2$), B ($S_1S_3$), C ($S_3S_4$). A [flower](#def-b2-angiosperm-reproduction-flower) has five [carpels](#def-b2-angiosperm-reproduction-flower) with two [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) each, and a [fruit](#def-b2-angiosperm-reproduction-seed) that sets fewer than five [seeds](#def-b2-angiosperm-reproduction-seed) is dropped by the tree. A bee visit deposits $100$ [pollen grains](#prop-b2-angiosperm-reproduction-pollen) on a [stigma](#def-b2-angiosperm-reproduction-flower); each compatible grain has probability $0.1$ of fertilising an [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) not yet taken. A tree bears $5000$ [flowers](#def-b2-angiosperm-reproduction-flower) and needs $250$ [fruits](#def-b2-angiosperm-reproduction-seed) for a full crop. Maize: a tassel sheds $10^{7}$ grains over $7$ days; the field holds $8$ plants per square metre; a plant bears one ear of $600$ silks; a silk presents $1 \times 10^{-4}\,\mathrm{m}^{2}$ to falling [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory); [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) settles at $0.25\,\mathrm{m}/\mathrm{s}$; a kernel holds $0.3\,\mathrm{g}$ of endosperm.

**Part I — Compatibility.**

1. For [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) of each variety on a pistil of A, give the compatible fraction $f$ .
2. Same for pistils of B and of C.
3. A bee arriving from a tree of B deposits 100 grains on an A [stigma](#def-b2-angiosperm-reproduction-flower) : how many are compatible, and how many [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) are expected to be fertilised (ignore saturation)?
4. Same for a bee from C, and from another A.
5. Which [fruits](#def-b2-angiosperm-reproduction-seed) are kept? What is the risk of planting an orchard of variety A alone?
6. A block of A trees is surrounded by C trees; half the bee visits to A come from C. If each [flower](#def-b2-angiosperm-reproduction-flower) receives one visit, what fraction of A [flowers](#def-b2-angiosperm-reproduction-flower) set [fruit](#def-b2-angiosperm-reproduction-seed) , and how many [fruits](#def-b2-angiosperm-reproduction-seed) per tree? Is the crop full?
7. Why do orchards interplant a crab-apple that flowers for weeks, and why must its $S$ [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) be checked?

**Part II — [Pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) over the maize field.**

8. Compute the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) released per square metre of field per second, on average over the seven days.
9. At steady state the flux of settling [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) equals the release rate. Compute the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) concentration in the air (grains per cubic metre).
10. Compute the number of grains landing on one silk per second, and the mean waiting time for the first grain.
11. How many grains does a silk receive in a day? Why is only the first useful?
12. A silk of $20\,\mathrm{cm}$ is pollinated; the tube grows at $1\,\mathrm{cm}/\mathrm{h}$ . When is the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) fertilised?
13. A drought delays silk emergence by five days while the tassel sheds on schedule. Using the seven-day shedding period, estimate the fraction of the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) season the silks catch, and the consequence for yield.

**Part III — [Double fertilisation](#prop-b2-angiosperm-reproduction-double) and the kernel.** The field is a variety with yellow endosperm ($Y$, [dominant](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary)) next to a white ($yy$) field; the wind blows from the white field.

14. Give the [genotypes](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) of the embryo and the endosperm of a kernel of a $YY$ plant fertilised by $yy$ [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) .
15. Is the kernel yellow or white? Explain the term xenia.
16. A $Yy$ plant is pollinated by $yy$ [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) : give the endosperm [genotypes](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) and their frequencies.
17. The endosperm contains two maternal and one paternal genome. A gene with a dosage effect gives, per copy, 10 units of pigment: what pigment do the kernels $YYy$ , $Yyy$ and $yyY$ (two paternal doses hypothetically) carry? Which of these can actually exist?
18. Explain why the endosperm, not the embryo, is what we eat, and what fraction of the kernel’s mass it represents if the embryo weighs $0.03\,\mathrm{g}$ .
19. Why is the endosperm’s “made to order” provisioning an advantage over the gymnosperm’s?

**Part IV — Yield.**

20. If $90\,\%$ of silks are fertilised, compute the kernels per ear, per plant and per square metre, and the endosperm mass per square metre.
21. Convert to tonnes per hectare.
22. The crop fixes $1.2\,\mathrm{kg}$ of carbon per square metre per season, of which half ends in the harvested grain. Check the consistency with the mass of question 20 (endosperm is $45\,\%$ carbon).
23. How many [pollen grains](#prop-b2-angiosperm-reproduction-pollen) did the field shed per kernel harvested?
24. Explain why a lone maize plant in a garden sets a poorly filled ear.
25. State the result: the [fruit](#def-b2-angiosperm-reproduction-seed) set of the A block and the field’s yield in kernels per square metre and tonnes per hectare.

**Solution of Problem 6.1.**

**1.** On A ($S_1S_2$): [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) A $f = 0$; B ($S_1$, $S_3$) $f =
\tfrac12$; C ($S_3$, $S_4$) $f = 1$. **2.** On B ($S_1S_3$): A $\tfrac12$, B 0, C $\tfrac12$. On C ($S_3S_4$): A 1, B $\tfrac12$, C 0. **3.** 50 compatible grains; $0.1\times 50 = 5$ [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory). **4.** From C: 100 compatible, $0.1\times 100 = 10$, i.e. all ten [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory); from A: none. **5.** [Fruits](#def-b2-angiosperm-reproduction-seed) from C visits (10 [seeds](#def-b2-angiosperm-reproduction-seed)) are kept; from B (5 [seeds](#def-b2-angiosperm-reproduction-seed)) just kept; from A dropped. An orchard of A alone bears nothing. **6.** Half the [flowers](#def-b2-angiosperm-reproduction-flower) set [fruit](#def-b2-angiosperm-reproduction-seed) (those visited from C): 2500 [fruits](#def-b2-angiosperm-reproduction-seed) per tree, ten times the 250 needed — a full crop, and the tree will drop the surplus. **7.** It sheds compatible [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) over the whole flowering season of every variety; but if it shares both $S$ [alleles](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) with a variety it pollinates nothing on it. **8.** $8\times 10^{7}/(7\times 86400) = 132$ grains per square metre per second. **9.** $132/0.25 = 530$ grains per cubic metre. **10.** $132\times 10^{-4} = 0.013$ per second: one grain every $76\,\mathrm{s}$. **11.** $0.013\times 86400 \approx 1100$ grains a day; the first tube to reach the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) fertilises it, and the [ovule](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) is then closed to the rest. **12.** $20\,\mathrm{h}$ after [pollination](#def-b2-angiosperm-reproduction-pollination). **13.** [Pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) on days 0–7, silks from day 5: only days 5, 6 and 7 overlap — $3/8$ of the silks, and those emerging after day 7 get nothing; the ear is largely barren. Drought at silking is the classic cause of a failed maize crop. **14.** Embryo $Yy$; endosperm $YYy$. **15.** Yellow, since $Y$ is [dominant](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary): the [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) parent’s trait shows in the [seed](#def-b2-angiosperm-reproduction-seed) on the mother plant — xenia. **16.** Central cell $YY$ or $yy$: endosperm $YYy$ (half) and $yyy$ (half). **17.** $YYy$: 20 units; $Yyy$: 10 units; a $yyY$ with the $Y$ from the father is the same [genotype](https://one-course.com/books/biology/4/en/chapter/4-meiosis-genetic-mixing-and-heredity#def-b2-meiosis-heredity-vocabulary) $Yyy$, 10 units. Two paternal doses cannot exist: one sperm fertilises the central cell, and the endosperm is always two maternal genomes to one paternal. **18.** It is the starch store; $0.3/0.33 = 91\,\%$ of the kernel. **19.** The store is built only after fertilisation, so no resources go into [ovules](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) that carry no embryo; the gymnosperm’s [gametophyte](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-cycles) is built beforehand and wasted if [pollination](#def-b2-angiosperm-reproduction-pollination) fails. **20.** $0.9\times 600 = 540$ kernels per ear and per plant; $4320$ per square metre; $4320\times 0.3 = 1.3\,\mathrm{kg}$ of endosperm per square metre. **21.** $13\,\mathrm{t}/\mathrm{ha}$. **22.** Grain carbon $0.5\times 1.2 = 0.6\,\mathrm{kg}/\mathrm{m}^{2}$; endosperm carbon $0.45\times 1.3 = 0.58\,\mathrm{kg}/\mathrm{m}^{2}$: consistent (the small remainder is embryo and coat). **23.** $8\times 10^{7}/4320 \approx 18\,500$ grains per kernel. **24.** Its own [pollen](https://one-course.com/books/biology/4/en/chapter/5-life-cycles-and-reproduction-of-land-plants#def-b2-plant-life-cycles-heterospory) cloud is thin and blown away, and its tassel sheds mostly before its own silks emerge, so many silks are never pollinated and the ear has gaps. **25.** A block: half the [flowers](#def-b2-angiosperm-reproduction-flower) set [fruit](#def-b2-angiosperm-reproduction-seed), 2500 per tree, a full crop. Field: 4320 kernels per square metre, $13\,\mathrm{t}/\mathrm{ha}$.