Learning preferences

Make learning more comfortable. Changes apply immediately.

Enlarges page content, including diagrams and their labels. You can also use your browser’s zoom.

Choose the colours that are easiest for you to distinguish. Applies to lesson diagrams and lab plots. Labels, shapes, hatching and line patterns also distinguish meanings. Source photographs and raw image brightness stay unchanged; mask-only views are available for image overlays.

ExampleComparisonSample link

Saved in this browser on this device. Preferences are separate from progress backups.

SCIENCE · INVESTIGATE AND EXPLAIN

Evaluate endangered-species recovery beyond a single probability

Distinguish local persistence, species status and evidence for recovery.

Learning outcome: Distinguish local persistence, species status and evidence for recovery.

Starting recap

Distinguish local persistence, species status and evidence for recovery.

All lessons are open directly. Your saved experiments remain when you leave and return.

Try

Independent annual persistence 0.9 for 3 years gives 0.729; local-loss probability 0.271.

Open the experiment

Predict

Is a local population-loss probability an official species conservation category?

Experiment

Compare persistence 0.85 and 0.95 over 1 and 5 years. Identify how correlated droughts, recolonization and genetic exchange violate the model.

Separate repeated local loss from recovery mechanisms

Worked teaching model · synthetic values · Fictional local population has constant independent annual persistence p; probability persisting all years=p^t, no recolonization. Not a species extinction forecast or official threatened/endangered classification.

Reset keeps your prediction, captures and practice history.

Original synthetic system; units differ by row
QuantityValueUnit
Annual persistence probability0.9probability
Persistence through all years0.729probability
At least one local loss0.271probability
Years in comparison3years

Repeated chances compound; local persistence is not a complete species-status assessment.

Small populations can face demographic/environmental fluctuations and loss of genetic variation. Recolonization, correlated hazards and habitat change violate the simplified independent-year model.

Predict, change one control, and save contrasting captures. Reconstruct the balance with units; then explain a process the ledger deliberately leaves out. Display precision is not measurement precision.

Repeated chances compound; local persistence is not a complete species-status assessment.

Small populations can face demographic/environmental fluctuations and loss of genetic variation. Recolonization, correlated hazards and habitat change violate the simplified independent-year model.

Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.

Understand

Distinguish extinction and local loss

A species becomes extinct when no living individuals remain, while a local population can disappear even if the species persists elsewhere. Conservation status considers multiple evidence types, including range, abundance, trend and threats. Threatened and endangered are defined within particular scientific or legal systems; a classroom probability threshold does not assign an official category.

Explain vulnerability mechanisms

Small populations can be affected strongly by chance variation in births and deaths, environmental disturbances and loss of genetic diversity. Habitat loss, overharvest, invasive species, pollution and climate change can compound pressures. Restricted range, specialized habitat needs or slow reproduction may limit recovery, but no single trait guarantees extinction. Population size alone does not capture connectivity or habitat quality.

Competition for food, territory, mates or nesting habitat can reduce survival or reproduction, particularly when a species has a narrow diet or habitat range. Selective pressures alter relative survival and reproductive success; populations may evolve when heritable variation and sufficient generations permit, while individuals may also adjust behavior or physiology. Neither adaptation nor movement to new habitat is guaranteed when change is rapid or barriers prevent dispersal. Compare a mobile generalist with a geographically isolated specialist before predicting equal vulnerability.

Read a limited probability model

The original local population has annual persistence probability 0.9, assumed constant and independent each year. Persistence through three years is 0.9³=0.729; the probability of at least one local loss is 0.271. The model has no recolonization and treats loss as an absorbing outcome. It is not a forecast for a named species or an assessment of global extinction risk.

Compare recovery actions

Habitat protection and restoration can address the conditions needed for persistence. Managing harvest, reducing pollutants or controlling invasive pressures addresses different causes. Captive breeding and reintroduction can help some species but require suitable habitat, genetic management, disease safeguards and monitoring; they are not substitutes for removing ongoing threats. Ex situ conservation preserves organisms outside native habitat, while in situ conservation acts within it.

Link policy to evidence

The United States Endangered Species Act provides a legal framework for listed species and recovery; international trade measures such as CITES address a different pathway. Neither label alone proves recovery. This lesson states broad institutional purposes, not a current species-listing decision, permit instruction or legal interpretation. Assess outcomes through survival, recruitment, habitat condition and retained uncertainty.

Transfer and feedback

With annual persistence 0.95 over four independent years, persistence is about 0.8145 and loss probability 0.1855. Correlated severe droughts or successful recolonization would require another model. Explain which observations would test the independence assumption before using this number to prioritize a real recovery action.

Match protection to a specific pressure

Laws against poaching can reduce unlawful killing when implemented and enforced; habitat protection addresses another causal pathway. Neither merely declaring a rule nor preserving an unsuitable patch guarantees recovery. In a fictional annual account, recruitment is 12 and losses are 8 from habitat-related causes plus 10 from illegal killing, for a net change of −6. If enforcement reduces the latter to 3 while other terms stay fixed, net change becomes +1. If habitat-related losses simultaneously rise to 12, it becomes −3 instead. This is a supplied population balance, not a forecast or advice about enforcement activity; it shows why monitoring multiple pressures is necessary.

Sources and evidence boundary

Original prose and numerical cases. Mechanisms and framework checked 30 October 2026: US Fish and Wildlife Service species program; CITES purpose. All model values are synthetic, not measured global trends, species forecasts or policy-compliance determinations. Retained work is computational practice, not physical fieldwork or independent mastery.

Apply

Annual persistence 0.9 across 3 independent years gives persistence:

Public practice checks a specific claim. It does not establish independent mastery.

Reconstruct a changed case, explain its causal mechanism and identify an omitted process or evidence that would challenge the inference.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

Skipping retains experiments and awards no mastery.

Save a science backup or import one

Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.

A legacy file is available only when the complete snapshot fits the 36 MB limit. For larger snapshots, prepare a complete file set below; never discard notebooks to make a smaller file.

Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.

Complete file sets and course backups

A file set can hold more work than one science file. Keep its manifest and every part together. Each file is limited to 36 MB. This format needs this version of LearnAI or a compatible newer version; older versions can use only the legacy single-file backup above.

The set includes every saved science course and global continuation at this moment. Later edits need a new export. A conflicting tab exports its own visible work, which may differ from saved work in another tab.

0 file(s) selected. File order and filenames do not determine identity. Missing, changed or conflicting parts block the entire restore; no good part is applied by itself.

Science storage: loading. No account or remote computation is required.